Merge commit 'd803bfe2b1fe7f5e219e50ac20d6801a0a58ac75' as 'vendor/ruvector'

This commit is contained in:
ruv
2026-02-28 14:39:40 -05:00
7854 changed files with 3522914 additions and 0 deletions

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//! Attention mechanism implementations.
//!
//! This module provides concrete implementations of various attention mechanisms
//! including scaled dot-product attention and multi-head attention.
pub mod multi_head;
pub mod scaled_dot_product;
pub use multi_head::MultiHeadAttention;
pub use scaled_dot_product::ScaledDotProductAttention;

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//! Multi-head attention implementation.
//!
//! Implements parallel attention heads for diverse representation learning.
use crate::{
error::{AttentionError, AttentionResult},
traits::Attention,
};
use super::scaled_dot_product::ScaledDotProductAttention;
/// Multi-head attention mechanism.
///
/// Splits the input into multiple heads, applies attention in parallel,
/// and concatenates the results. This allows the model to attend to
/// different representation subspaces simultaneously.
pub struct MultiHeadAttention {
dim: usize,
num_heads: usize,
head_dim: usize,
}
impl MultiHeadAttention {
/// Creates a new multi-head attention mechanism.
///
/// # Arguments
///
/// * `dim` - The embedding dimension
/// * `num_heads` - Number of attention heads
///
/// # Panics
///
/// Panics if `dim` is not divisible by `num_heads`.
pub fn new(dim: usize, num_heads: usize) -> Self {
assert!(
dim % num_heads == 0,
"Dimension {} must be divisible by number of heads {}",
dim,
num_heads
);
Self {
dim,
num_heads,
head_dim: dim / num_heads,
}
}
/// Splits input into multiple heads.
fn split_heads(&self, input: &[f32]) -> Vec<Vec<f32>> {
(0..self.num_heads)
.map(|h| {
let start = h * self.head_dim;
let end = start + self.head_dim;
input[start..end].to_vec()
})
.collect()
}
/// Concatenates outputs from multiple heads.
fn concat_heads(&self, heads: Vec<Vec<f32>>) -> Vec<f32> {
heads.into_iter().flatten().collect()
}
}
impl Attention for MultiHeadAttention {
fn compute(
&self,
query: &[f32],
keys: &[&[f32]],
values: &[&[f32]],
) -> AttentionResult<Vec<f32>> {
if query.len() != self.dim {
return Err(AttentionError::DimensionMismatch {
expected: self.dim,
actual: query.len(),
});
}
// Split query into heads
let query_heads = self.split_heads(query);
// Split keys and values
let key_heads: Vec<Vec<Vec<f32>>> = keys.iter().map(|k| self.split_heads(k)).collect();
let value_heads: Vec<Vec<Vec<f32>>> = values.iter().map(|v| self.split_heads(v)).collect();
// Compute attention for each head
let mut head_outputs = Vec::new();
for h in 0..self.num_heads {
let head_attn = ScaledDotProductAttention::new(self.head_dim);
let head_keys: Vec<&[f32]> = key_heads.iter().map(|kh| kh[h].as_slice()).collect();
let head_values: Vec<&[f32]> = value_heads.iter().map(|vh| vh[h].as_slice()).collect();
let head_out = head_attn.compute(&query_heads[h], &head_keys, &head_values)?;
head_outputs.push(head_out);
}
// Concatenate head outputs
Ok(self.concat_heads(head_outputs))
}
fn compute_with_mask(
&self,
query: &[f32],
keys: &[&[f32]],
values: &[&[f32]],
_mask: Option<&[bool]>,
) -> AttentionResult<Vec<f32>> {
// For simplicity, delegate to compute (mask handling can be added per-head)
self.compute(query, keys, values)
}
fn dim(&self) -> usize {
self.dim
}
fn num_heads(&self) -> usize {
self.num_heads
}
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn test_multi_head() {
let attn = MultiHeadAttention::new(8, 2);
let query = vec![1.0_f32; 8];
let key1 = vec![0.5_f32; 8];
let key2 = vec![0.3_f32; 8];
let val1 = vec![1.0_f32; 8];
let val2 = vec![2.0_f32; 8];
let keys = vec![key1.as_slice(), key2.as_slice()];
let values = vec![val1.as_slice(), val2.as_slice()];
let result = attn.compute(&query, &keys, &values).unwrap();
assert_eq!(result.len(), 8);
}
#[test]
#[should_panic(expected = "divisible")]
fn test_invalid_heads() {
MultiHeadAttention::new(10, 3);
}
}

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//! Scaled dot-product attention implementation.
//!
//! Implements the fundamental attention mechanism: softmax(QK^T / √d)V
use crate::{
error::{AttentionError, AttentionResult},
traits::Attention,
};
/// Scaled dot-product attention: softmax(QK^T / √d)V
///
/// This is the fundamental attention mechanism used in transformers.
/// It computes attention scores by taking the dot product of queries
/// and keys, scaling by the square root of the dimension, applying
/// softmax, and using the result to weight values.
pub struct ScaledDotProductAttention {
dim: usize,
}
impl ScaledDotProductAttention {
/// Creates a new scaled dot-product attention mechanism.
///
/// # Arguments
///
/// * `dim` - The embedding dimension
pub fn new(dim: usize) -> Self {
Self { dim }
}
/// Computes attention scores (before softmax).
fn compute_scores(&self, query: &[f32], keys: &[&[f32]]) -> Vec<f32> {
let scale = (self.dim as f32).sqrt();
keys.iter()
.map(|key| {
query
.iter()
.zip(key.iter())
.map(|(q, k)| q * k)
.sum::<f32>()
/ scale
})
.collect()
}
/// Applies softmax to attention scores.
fn softmax(&self, scores: &[f32]) -> Vec<f32> {
let max_score = scores.iter().fold(f32::NEG_INFINITY, |a, &b| a.max(b));
let exp_scores: Vec<f32> = scores.iter().map(|s| (s - max_score).exp()).collect();
let sum: f32 = exp_scores.iter().sum();
exp_scores.iter().map(|e| e / sum).collect()
}
}
impl Attention for ScaledDotProductAttention {
fn compute(
&self,
query: &[f32],
keys: &[&[f32]],
values: &[&[f32]],
) -> AttentionResult<Vec<f32>> {
if query.len() != self.dim {
return Err(AttentionError::DimensionMismatch {
expected: self.dim,
actual: query.len(),
});
}
if keys.is_empty() || values.is_empty() {
return Err(AttentionError::EmptyInput("keys or values".to_string()));
}
if keys.len() != values.len() {
return Err(AttentionError::DimensionMismatch {
expected: keys.len(),
actual: values.len(),
});
}
// Compute attention scores
let scores = self.compute_scores(query, keys);
// Apply softmax
let weights = self.softmax(&scores);
// Weight values
let mut output = vec![0.0; self.dim];
for (weight, value) in weights.iter().zip(values.iter()) {
for (out, val) in output.iter_mut().zip(value.iter()) {
*out += weight * val;
}
}
Ok(output)
}
fn compute_with_mask(
&self,
query: &[f32],
keys: &[&[f32]],
values: &[&[f32]],
mask: Option<&[bool]>,
) -> AttentionResult<Vec<f32>> {
if mask.is_none() {
return self.compute(query, keys, values);
}
let mask = mask.unwrap();
if mask.len() != keys.len() {
return Err(AttentionError::InvalidMask {
expected: format!("{}", keys.len()),
actual: format!("{}", mask.len()),
});
}
// Compute scores
let mut scores = self.compute_scores(query, keys);
// Apply mask (set masked positions to very negative value)
for (score, &m) in scores.iter_mut().zip(mask.iter()) {
if !m {
*score = f32::NEG_INFINITY;
}
}
// Apply softmax
let weights = self.softmax(&scores);
// Weight values
let mut output = vec![0.0; self.dim];
for (weight, value) in weights.iter().zip(values.iter()) {
for (out, val) in output.iter_mut().zip(value.iter()) {
*out += weight * val;
}
}
Ok(output)
}
fn dim(&self) -> usize {
self.dim
}
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn test_scaled_dot_product() {
let attn = ScaledDotProductAttention::new(4);
let query = vec![1.0_f32, 0.0, 0.0, 0.0];
let key1 = vec![1.0_f32, 0.0, 0.0, 0.0];
let key2 = vec![0.0_f32, 1.0, 0.0, 0.0];
let val1 = vec![1.0_f32, 2.0, 3.0, 4.0];
let val2 = vec![5.0_f32, 6.0, 7.0, 8.0];
let keys = vec![key1.as_slice(), key2.as_slice()];
let values = vec![val1.as_slice(), val2.as_slice()];
let result = attn.compute(&query, &keys, &values).unwrap();
assert_eq!(result.len(), 4);
}
#[test]
fn test_with_mask() {
let attn = ScaledDotProductAttention::new(4);
let query = vec![1.0_f32; 4];
let key1 = vec![1.0_f32; 4];
let key2 = vec![0.5_f32; 4];
let val1 = vec![1.0_f32; 4];
let val2 = vec![2.0_f32; 4];
let keys = vec![key1.as_slice(), key2.as_slice()];
let values = vec![val1.as_slice(), val2.as_slice()];
let mask = vec![true, false];
let result = attn
.compute_with_mask(&query, &keys, &values, Some(&mask))
.unwrap();
assert_eq!(result.len(), 4);
}
}

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//! Configuration types for attention mechanisms.
//!
//! This module provides configuration structs and builders for various
//! attention mechanisms including standard, graph, and sparse attention.
use serde::{Deserialize, Serialize};
use crate::error::{AttentionError, AttentionResult};
/// Configuration for standard attention mechanisms.
#[derive(Clone, Debug, Serialize, Deserialize)]
pub struct AttentionConfig {
/// Model dimension (d_model)
pub dim: usize,
/// Number of attention heads
pub num_heads: usize,
/// Dropout probability (0.0 to 1.0)
pub dropout: f32,
/// Scaling factor (default: 1/sqrt(d_k))
pub scale: Option<f32>,
/// Whether to use causal masking
pub causal: bool,
}
impl AttentionConfig {
/// Creates a new builder for AttentionConfig.
pub fn builder() -> AttentionConfigBuilder {
AttentionConfigBuilder::default()
}
/// Validates the configuration.
pub fn validate(&self) -> AttentionResult<()> {
if self.dim == 0 {
return Err(AttentionError::InvalidConfig(
"dimension must be greater than 0".to_string(),
));
}
if self.num_heads == 0 {
return Err(AttentionError::InvalidConfig(
"num_heads must be greater than 0".to_string(),
));
}
if self.dim % self.num_heads != 0 {
return Err(AttentionError::InvalidHeadCount {
dim: self.dim,
num_heads: self.num_heads,
});
}
if self.dropout < 0.0 || self.dropout > 1.0 {
return Err(AttentionError::InvalidConfig(
"dropout must be in range [0.0, 1.0]".to_string(),
));
}
if let Some(scale) = self.scale {
if !scale.is_finite() || scale <= 0.0 {
return Err(AttentionError::InvalidConfig(
"scale must be positive and finite".to_string(),
));
}
}
Ok(())
}
/// Returns the dimension per head (d_k).
#[inline]
pub fn head_dim(&self) -> usize {
self.dim / self.num_heads
}
/// Returns the effective scale factor.
#[inline]
pub fn effective_scale(&self) -> f32 {
self.scale
.unwrap_or_else(|| 1.0 / (self.head_dim() as f32).sqrt())
}
}
/// Builder for AttentionConfig.
#[derive(Default)]
pub struct AttentionConfigBuilder {
dim: Option<usize>,
num_heads: Option<usize>,
dropout: f32,
scale: Option<f32>,
causal: bool,
}
impl AttentionConfigBuilder {
/// Sets the model dimension.
pub fn dim(mut self, dim: usize) -> Self {
self.dim = Some(dim);
self
}
/// Sets the number of attention heads.
pub fn num_heads(mut self, num_heads: usize) -> Self {
self.num_heads = Some(num_heads);
self
}
/// Sets the dropout probability.
pub fn dropout(mut self, dropout: f32) -> Self {
self.dropout = dropout;
self
}
/// Sets a custom scale factor.
pub fn scale(mut self, scale: f32) -> Self {
self.scale = Some(scale);
self
}
/// Enables causal masking.
pub fn causal(mut self, causal: bool) -> Self {
self.causal = causal;
self
}
/// Builds the AttentionConfig.
pub fn build(self) -> AttentionResult<AttentionConfig> {
let config = AttentionConfig {
dim: self.dim.ok_or_else(|| {
AttentionError::InvalidConfig("dimension must be specified".to_string())
})?,
num_heads: self.num_heads.ok_or_else(|| {
AttentionError::InvalidConfig("num_heads must be specified".to_string())
})?,
dropout: self.dropout,
scale: self.scale,
causal: self.causal,
};
config.validate()?;
Ok(config)
}
}
/// Configuration for graph attention networks.
#[derive(Clone, Debug, Serialize, Deserialize)]
pub struct GraphAttentionConfig {
/// Base attention configuration
pub base: AttentionConfig,
/// Edge feature dimension (if using edge features)
pub edge_dim: Option<usize>,
/// Negative slope for LeakyReLU
pub negative_slope: f32,
/// Whether to concatenate multi-head outputs (vs averaging)
pub concat_heads: bool,
}
impl GraphAttentionConfig {
/// Creates a new builder for GraphAttentionConfig.
pub fn builder() -> GraphAttentionConfigBuilder {
GraphAttentionConfigBuilder::default()
}
/// Validates the configuration.
pub fn validate(&self) -> AttentionResult<()> {
self.base.validate()?;
if self.negative_slope <= 0.0 || !self.negative_slope.is_finite() {
return Err(AttentionError::InvalidConfig(
"negative_slope must be positive and finite".to_string(),
));
}
if let Some(edge_dim) = self.edge_dim {
if edge_dim == 0 {
return Err(AttentionError::InvalidConfig(
"edge_dim must be greater than 0".to_string(),
));
}
}
Ok(())
}
}
/// Builder for GraphAttentionConfig.
#[derive(Default)]
pub struct GraphAttentionConfigBuilder {
base_builder: AttentionConfigBuilder,
edge_dim: Option<usize>,
negative_slope: f32,
concat_heads: bool,
}
impl GraphAttentionConfigBuilder {
/// Sets the model dimension.
pub fn dim(mut self, dim: usize) -> Self {
self.base_builder = self.base_builder.dim(dim);
self
}
/// Sets the number of attention heads.
pub fn num_heads(mut self, num_heads: usize) -> Self {
self.base_builder = self.base_builder.num_heads(num_heads);
self
}
/// Sets the edge feature dimension.
pub fn edge_dim(mut self, edge_dim: usize) -> Self {
self.edge_dim = Some(edge_dim);
self
}
/// Sets the negative slope for LeakyReLU.
pub fn negative_slope(mut self, slope: f32) -> Self {
self.negative_slope = slope;
self
}
/// Sets whether to concatenate multi-head outputs.
pub fn concat_heads(mut self, concat: bool) -> Self {
self.concat_heads = concat;
self
}
/// Builds the GraphAttentionConfig.
pub fn build(self) -> AttentionResult<GraphAttentionConfig> {
let config = GraphAttentionConfig {
base: self.base_builder.build()?,
edge_dim: self.edge_dim,
negative_slope: if self.negative_slope == 0.0 {
0.2
} else {
self.negative_slope
},
concat_heads: self.concat_heads,
};
config.validate()?;
Ok(config)
}
}
/// Configuration for sparse attention mechanisms.
#[derive(Clone, Debug, Serialize, Deserialize)]
pub struct SparseAttentionConfig {
/// Base attention configuration
pub base: AttentionConfig,
/// Block size for block-sparse attention
pub block_size: usize,
/// Number of random blocks per query
pub num_random_blocks: usize,
/// Number of global tokens
pub num_global_tokens: usize,
}
impl SparseAttentionConfig {
/// Creates a new builder for SparseAttentionConfig.
pub fn builder() -> SparseAttentionConfigBuilder {
SparseAttentionConfigBuilder::default()
}
/// Validates the configuration.
pub fn validate(&self) -> AttentionResult<()> {
self.base.validate()?;
if self.block_size == 0 {
return Err(AttentionError::InvalidConfig(
"block_size must be greater than 0".to_string(),
));
}
Ok(())
}
}
/// Builder for SparseAttentionConfig.
#[derive(Default)]
pub struct SparseAttentionConfigBuilder {
base_builder: AttentionConfigBuilder,
block_size: usize,
num_random_blocks: usize,
num_global_tokens: usize,
}
impl SparseAttentionConfigBuilder {
/// Sets the model dimension.
pub fn dim(mut self, dim: usize) -> Self {
self.base_builder = self.base_builder.dim(dim);
self
}
/// Sets the number of attention heads.
pub fn num_heads(mut self, num_heads: usize) -> Self {
self.base_builder = self.base_builder.num_heads(num_heads);
self
}
/// Sets the block size.
pub fn block_size(mut self, block_size: usize) -> Self {
self.block_size = block_size;
self
}
/// Sets the number of random blocks.
pub fn num_random_blocks(mut self, num_random_blocks: usize) -> Self {
self.num_random_blocks = num_random_blocks;
self
}
/// Sets the number of global tokens.
pub fn num_global_tokens(mut self, num_global_tokens: usize) -> Self {
self.num_global_tokens = num_global_tokens;
self
}
/// Builds the SparseAttentionConfig.
pub fn build(self) -> AttentionResult<SparseAttentionConfig> {
let config = SparseAttentionConfig {
base: self.base_builder.build()?,
block_size: if self.block_size == 0 {
64
} else {
self.block_size
},
num_random_blocks: self.num_random_blocks,
num_global_tokens: self.num_global_tokens,
};
config.validate()?;
Ok(config)
}
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn test_attention_config_builder() {
let config = AttentionConfig::builder()
.dim(512)
.num_heads(8)
.dropout(0.1)
.causal(true)
.build()
.unwrap();
assert_eq!(config.dim, 512);
assert_eq!(config.num_heads, 8);
assert_eq!(config.dropout, 0.1);
assert!(config.causal);
assert_eq!(config.head_dim(), 64);
}
#[test]
fn test_config_validation() {
let result = AttentionConfig::builder()
.dim(512)
.num_heads(7) // Not divisible
.build();
assert!(result.is_err());
}
#[test]
fn test_graph_attention_config() {
let config = GraphAttentionConfig::builder()
.dim(256)
.num_heads(4)
.edge_dim(16)
.negative_slope(0.2)
.concat_heads(true)
.build()
.unwrap();
assert_eq!(config.base.dim, 256);
assert_eq!(config.edge_dim, Some(16));
assert!(config.concat_heads);
}
#[test]
fn test_sparse_attention_config() {
let config = SparseAttentionConfig::builder()
.dim(512)
.num_heads(8)
.block_size(64)
.num_random_blocks(3)
.num_global_tokens(64)
.build()
.unwrap();
assert_eq!(config.base.dim, 512);
assert_eq!(config.block_size, 64);
assert_eq!(config.num_random_blocks, 3);
}
}

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//! Component Quantization for Mixed-Curvature Attention
//!
//! Different precision for each geometric component:
//! - Euclidean: 7-8 bit (needs precision)
//! - Hyperbolic tangent: 5 bit (tolerates noise)
//! - Spherical: 5 bit (only direction matters)
use serde::{Deserialize, Serialize};
/// Quantization configuration
#[derive(Debug, Clone, Serialize, Deserialize)]
pub struct QuantizationConfig {
/// Bits for Euclidean component
pub euclidean_bits: u8,
/// Bits for Hyperbolic component
pub hyperbolic_bits: u8,
/// Bits for Spherical component
pub spherical_bits: u8,
}
impl Default for QuantizationConfig {
fn default() -> Self {
Self {
euclidean_bits: 8,
hyperbolic_bits: 5,
spherical_bits: 5,
}
}
}
/// Quantized vector representation
#[derive(Debug, Clone)]
pub struct QuantizedVector {
/// Quantized Euclidean component
pub euclidean: Vec<i8>,
/// Euclidean scale factor
pub euclidean_scale: f32,
/// Quantized Hyperbolic component
pub hyperbolic: Vec<i8>,
/// Hyperbolic scale factor
pub hyperbolic_scale: f32,
/// Quantized Spherical component
pub spherical: Vec<i8>,
/// Spherical scale factor
pub spherical_scale: f32,
}
/// Component quantizer for efficient storage and compute
#[derive(Debug, Clone)]
pub struct ComponentQuantizer {
config: QuantizationConfig,
euclidean_levels: i32,
hyperbolic_levels: i32,
spherical_levels: i32,
}
impl ComponentQuantizer {
/// Create new quantizer
pub fn new(config: QuantizationConfig) -> Self {
Self {
euclidean_levels: (1 << (config.euclidean_bits - 1)) - 1,
hyperbolic_levels: (1 << (config.hyperbolic_bits - 1)) - 1,
spherical_levels: (1 << (config.spherical_bits - 1)) - 1,
config,
}
}
/// Quantize a component vector
fn quantize_component(&self, values: &[f32], levels: i32) -> (Vec<i8>, f32) {
if values.is_empty() {
return (vec![], 1.0);
}
// Find absmax for scale
let absmax = values
.iter()
.map(|v| v.abs())
.fold(0.0f32, f32::max)
.max(1e-8);
let scale = absmax / levels as f32;
let inv_scale = levels as f32 / absmax;
let quantized: Vec<i8> = values
.iter()
.map(|v| (v * inv_scale).round().clamp(-127.0, 127.0) as i8)
.collect();
(quantized, scale)
}
/// Dequantize a component
fn dequantize_component(&self, quantized: &[i8], scale: f32) -> Vec<f32> {
quantized.iter().map(|&q| q as f32 * scale).collect()
}
/// Quantize full vector with component ranges
pub fn quantize(
&self,
vector: &[f32],
e_range: std::ops::Range<usize>,
h_range: std::ops::Range<usize>,
s_range: std::ops::Range<usize>,
) -> QuantizedVector {
let (euclidean, euclidean_scale) =
self.quantize_component(&vector[e_range], self.euclidean_levels);
let (hyperbolic, hyperbolic_scale) =
self.quantize_component(&vector[h_range], self.hyperbolic_levels);
let (spherical, spherical_scale) =
self.quantize_component(&vector[s_range], self.spherical_levels);
QuantizedVector {
euclidean,
euclidean_scale,
hyperbolic,
hyperbolic_scale,
spherical,
spherical_scale,
}
}
/// Compute dot product between quantized vectors (integer arithmetic)
#[inline]
pub fn quantized_dot_product(
&self,
a: &QuantizedVector,
b: &QuantizedVector,
weights: &[f32; 3],
) -> f32 {
// Integer dot products
let dot_e = Self::int_dot(&a.euclidean, &b.euclidean);
let dot_h = Self::int_dot(&a.hyperbolic, &b.hyperbolic);
let dot_s = Self::int_dot(&a.spherical, &b.spherical);
// Scale and weight
let sim_e = dot_e as f32 * a.euclidean_scale * b.euclidean_scale;
let sim_h = dot_h as f32 * a.hyperbolic_scale * b.hyperbolic_scale;
let sim_s = dot_s as f32 * a.spherical_scale * b.spherical_scale;
weights[0] * sim_e + weights[1] * sim_h + weights[2] * sim_s
}
/// Integer dot product (SIMD-friendly)
#[inline(always)]
fn int_dot(a: &[i8], b: &[i8]) -> i32 {
let len = a.len().min(b.len());
let chunks = len / 4;
let remainder = len % 4;
let mut sum0 = 0i32;
let mut sum1 = 0i32;
let mut sum2 = 0i32;
let mut sum3 = 0i32;
for i in 0..chunks {
let base = i * 4;
sum0 += a[base] as i32 * b[base] as i32;
sum1 += a[base + 1] as i32 * b[base + 1] as i32;
sum2 += a[base + 2] as i32 * b[base + 2] as i32;
sum3 += a[base + 3] as i32 * b[base + 3] as i32;
}
let base = chunks * 4;
for i in 0..remainder {
sum0 += a[base + i] as i32 * b[base + i] as i32;
}
sum0 + sum1 + sum2 + sum3
}
/// Dequantize to full vector
pub fn dequantize(&self, quant: &QuantizedVector, total_dim: usize) -> Vec<f32> {
let mut result = vec![0.0f32; total_dim];
let e_vec = self.dequantize_component(&quant.euclidean, quant.euclidean_scale);
let h_vec = self.dequantize_component(&quant.hyperbolic, quant.hyperbolic_scale);
let s_vec = self.dequantize_component(&quant.spherical, quant.spherical_scale);
let e_end = e_vec.len();
let h_end = e_end + h_vec.len();
result[0..e_end].copy_from_slice(&e_vec);
result[e_end..h_end].copy_from_slice(&h_vec);
result[h_end..h_end + s_vec.len()].copy_from_slice(&s_vec);
result
}
/// Get memory savings ratio
pub fn compression_ratio(&self, dim: usize, e_dim: usize, h_dim: usize, s_dim: usize) -> f32 {
let original_bits = dim as f32 * 32.0;
let quantized_bits = e_dim as f32 * self.config.euclidean_bits as f32
+ h_dim as f32 * self.config.hyperbolic_bits as f32
+ s_dim as f32 * self.config.spherical_bits as f32
+ 3.0 * 32.0; // 3 scale factors
original_bits / quantized_bits
}
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn test_quantize_dequantize() {
let quantizer = ComponentQuantizer::new(QuantizationConfig::default());
let vector = vec![0.5f32; 64];
let e_range = 0..32;
let h_range = 32..48;
let s_range = 48..64;
let quantized =
quantizer.quantize(&vector, e_range.clone(), h_range.clone(), s_range.clone());
assert_eq!(quantized.euclidean.len(), 32);
assert_eq!(quantized.hyperbolic.len(), 16);
assert_eq!(quantized.spherical.len(), 16);
// Dequantize and check approximate equality
let dequantized = quantizer.dequantize(&quantized, 64);
for (&orig, &deq) in vector.iter().zip(dequantized.iter()) {
assert!((orig - deq).abs() < 0.1);
}
}
#[test]
fn test_quantized_dot_product() {
let quantizer = ComponentQuantizer::new(QuantizationConfig::default());
let a = vec![1.0f32; 64];
let b = vec![1.0f32; 64];
let e_range = 0..32;
let h_range = 32..48;
let s_range = 48..64;
let qa = quantizer.quantize(&a, e_range.clone(), h_range.clone(), s_range.clone());
let qb = quantizer.quantize(&b, e_range, h_range, s_range);
let weights = [0.5, 0.3, 0.2];
let dot = quantizer.quantized_dot_product(&qa, &qb, &weights);
// Should be positive for same vectors
assert!(dot > 0.0);
}
#[test]
fn test_compression_ratio() {
let quantizer = ComponentQuantizer::new(QuantizationConfig::default());
let ratio = quantizer.compression_ratio(512, 256, 192, 64);
// With 8/5/5 bits vs 32 bits, expect ~4-5x compression
assert!(ratio > 3.0);
assert!(ratio < 7.0);
}
}

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//! Fused Mixed-Curvature Attention
//!
//! Single kernel that computes Euclidean, Hyperbolic (tangent), and Spherical
//! similarities in one pass for maximum cache efficiency.
//!
//! logit(q,k) = a * dot(q_E, k_E) + b * dot(q_H_tan, k_H_tan) + c * dot(q_S, k_S)
use super::tangent_space::{TangentSpaceConfig, TangentSpaceMapper};
use crate::error::{AttentionError, AttentionResult};
use crate::traits::Attention;
use serde::{Deserialize, Serialize};
/// Configuration for fused mixed-curvature attention
#[derive(Debug, Clone, Serialize, Deserialize)]
pub struct FusedCurvatureConfig {
/// Total dimension
pub dim: usize,
/// Euclidean component dimension
pub euclidean_dim: usize,
/// Hyperbolic component dimension
pub hyperbolic_dim: usize,
/// Spherical component dimension
pub spherical_dim: usize,
/// Mixing weight for Euclidean component
pub weight_e: f32,
/// Mixing weight for Hyperbolic component
pub weight_h: f32,
/// Mixing weight for Spherical component
pub weight_s: f32,
/// Hyperbolic curvature
pub hyperbolic_curvature: f32,
/// Temperature for softmax
pub temperature: f32,
/// Number of attention heads
pub num_heads: usize,
/// Per-head weight variation (low-rank)
pub per_head_variation: f32,
}
impl Default for FusedCurvatureConfig {
fn default() -> Self {
Self {
dim: 512,
euclidean_dim: 256,
hyperbolic_dim: 192,
spherical_dim: 64,
weight_e: 0.5,
weight_h: 0.35,
weight_s: 0.15,
hyperbolic_curvature: -1.0,
temperature: 1.0,
num_heads: 8,
per_head_variation: 0.1,
}
}
}
impl FusedCurvatureConfig {
/// Validate config
pub fn validate(&self) -> Result<(), String> {
if self.euclidean_dim + self.hyperbolic_dim + self.spherical_dim != self.dim {
return Err("Component dimensions must sum to total dim".into());
}
Ok(())
}
/// Get component ranges
pub fn component_ranges(
&self,
) -> (
std::ops::Range<usize>,
std::ops::Range<usize>,
std::ops::Range<usize>,
) {
let e_end = self.euclidean_dim;
let h_end = e_end + self.hyperbolic_dim;
let s_end = h_end + self.spherical_dim;
(0..e_end, e_end..h_end, h_end..s_end)
}
}
/// Window cache for mixed-curvature attention
#[derive(Debug, Clone)]
pub struct MixedCurvatureCache {
/// Tangent-space mapped hyperbolic components [N × h_dim]
pub keys_hyperbolic_tangent: Vec<Vec<f32>>,
/// Normalized spherical components [N × s_dim]
pub keys_spherical_normalized: Vec<Vec<f32>>,
/// Number of keys
pub num_keys: usize,
}
/// Fused mixed-curvature attention
///
/// Computes attention with Euclidean, Hyperbolic, and Spherical
/// similarities in a single fused kernel.
#[derive(Debug, Clone)]
pub struct MixedCurvatureFusedAttention {
config: FusedCurvatureConfig,
tangent_mapper: TangentSpaceMapper,
/// Per-head weight modifiers [num_heads × 3]
head_weights: Vec<[f32; 3]>,
}
impl MixedCurvatureFusedAttention {
/// Create new fused attention
pub fn new(config: FusedCurvatureConfig) -> Self {
let tangent_config = TangentSpaceConfig {
hyperbolic_dim: config.hyperbolic_dim,
curvature: config.hyperbolic_curvature,
learnable_origin: true,
};
let tangent_mapper = TangentSpaceMapper::new(tangent_config);
// Initialize per-head weights with small variation
let head_weights: Vec<[f32; 3]> = (0..config.num_heads)
.map(|h| {
let var = config.per_head_variation;
let h_factor = h as f32 / config.num_heads as f32 - 0.5;
[
config.weight_e + h_factor * var,
config.weight_h - h_factor * var * 0.5,
config.weight_s + h_factor * var * 0.5,
]
})
.collect();
Self {
config,
tangent_mapper,
head_weights,
}
}
/// Create with balanced weights
pub fn with_dim(dim: usize) -> Self {
let e_dim = dim / 2;
let h_dim = dim / 4;
let s_dim = dim - e_dim - h_dim;
let config = FusedCurvatureConfig {
dim,
euclidean_dim: e_dim,
hyperbolic_dim: h_dim,
spherical_dim: s_dim,
..Default::default()
};
Self::new(config)
}
/// Build cache for keys (pre-compute expensive operations)
pub fn build_cache(&self, keys: &[&[f32]]) -> MixedCurvatureCache {
let (_e_range, h_range, s_range) = self.config.component_ranges();
// Pre-map hyperbolic components to tangent space
let keys_hyperbolic_tangent: Vec<Vec<f32>> = keys
.iter()
.map(|k| {
let h_part = &k[h_range.clone()];
self.tangent_mapper.log_map(h_part)
})
.collect();
// Pre-normalize spherical components
let keys_spherical_normalized: Vec<Vec<f32>> = keys
.iter()
.map(|k| {
let s_part = &k[s_range.clone()];
Self::normalize(s_part)
})
.collect();
MixedCurvatureCache {
keys_hyperbolic_tangent,
keys_spherical_normalized,
num_keys: keys.len(),
}
}
/// Compute attention with cache (fast path)
pub fn compute_with_cache(
&self,
query: &[f32],
keys: &[&[f32]],
values: &[&[f32]],
cache: &MixedCurvatureCache,
head_idx: usize,
) -> AttentionResult<Vec<f32>> {
let num_keys = cache.num_keys;
if num_keys == 0 {
return Err(AttentionError::InvalidConfig("No keys".into()));
}
let (e_range, h_range, s_range) = self.config.component_ranges();
let weights = &self.head_weights[head_idx % self.head_weights.len()];
// Extract query components
let q_e = &query[e_range.clone()];
let q_h = &query[h_range.clone()];
let q_s = &query[s_range.clone()];
// Map query hyperbolic to tangent space
let q_h_tangent = self.tangent_mapper.log_map(q_h);
// Normalize query spherical
let q_s_normalized = Self::normalize(q_s);
// Compute fused logits
let logits: Vec<f32> = (0..num_keys)
.map(|i| {
let k = keys[i];
// Euclidean similarity (dot product)
let sim_e = Self::dot_product_simd(&q_e, &k[e_range.clone()]);
// Hyperbolic similarity (tangent space dot product)
let sim_h = Self::dot_product_simd(&q_h_tangent, &cache.keys_hyperbolic_tangent[i]);
// Spherical similarity (normalized dot product)
let sim_s =
Self::dot_product_simd(&q_s_normalized, &cache.keys_spherical_normalized[i]);
// Fused logit
(weights[0] * sim_e + weights[1] * sim_h + weights[2] * sim_s)
/ self.config.temperature
})
.collect();
// Softmax
let attention_weights = Self::stable_softmax(&logits);
// Weighted sum
self.weighted_sum(&attention_weights, values)
}
/// Fused similarity computation (single pass through all components)
/// This is the hot path - maximize SIMD utilization
#[inline]
pub fn fused_similarity(
&self,
query: &[f32],
key: &[f32],
key_h_tangent: &[f32],
key_s_normalized: &[f32],
query_h_tangent: &[f32],
query_s_normalized: &[f32],
weights: &[f32; 3],
) -> f32 {
let (e_range, _, _) = self.config.component_ranges();
// Euclidean: direct dot product on original vectors
let sim_e = Self::dot_product_simd(&query[e_range.clone()], &key[e_range.clone()]);
// Hyperbolic: dot product in tangent space
let sim_h = Self::dot_product_simd(query_h_tangent, key_h_tangent);
// Spherical: dot product of normalized vectors
let sim_s = Self::dot_product_simd(query_s_normalized, key_s_normalized);
weights[0] * sim_e + weights[1] * sim_h + weights[2] * sim_s
}
/// Normalize vector to unit length
#[inline]
fn normalize(v: &[f32]) -> Vec<f32> {
let norm: f32 = v.iter().map(|x| x * x).sum::<f32>().sqrt();
if norm > 1e-8 {
v.iter().map(|x| x / norm).collect()
} else {
v.to_vec()
}
}
/// SIMD-friendly dot product
#[inline(always)]
fn dot_product_simd(a: &[f32], b: &[f32]) -> f32 {
let len = a.len().min(b.len());
let chunks = len / 4;
let remainder = len % 4;
let mut sum0 = 0.0f32;
let mut sum1 = 0.0f32;
let mut sum2 = 0.0f32;
let mut sum3 = 0.0f32;
for i in 0..chunks {
let base = i * 4;
sum0 += a[base] * b[base];
sum1 += a[base + 1] * b[base + 1];
sum2 += a[base + 2] * b[base + 2];
sum3 += a[base + 3] * b[base + 3];
}
let base = chunks * 4;
for i in 0..remainder {
sum0 += a[base + i] * b[base + i];
}
sum0 + sum1 + sum2 + sum3
}
/// Stable softmax
fn stable_softmax(logits: &[f32]) -> Vec<f32> {
if logits.is_empty() {
return vec![];
}
let max_logit = logits.iter().cloned().fold(f32::NEG_INFINITY, f32::max);
let exp_logits: Vec<f32> = logits.iter().map(|&l| (l - max_logit).exp()).collect();
let sum: f32 = exp_logits.iter().sum();
exp_logits.iter().map(|&e| e / sum).collect()
}
/// Weighted sum
fn weighted_sum(&self, weights: &[f32], values: &[&[f32]]) -> AttentionResult<Vec<f32>> {
if weights.is_empty() || values.is_empty() {
return Err(AttentionError::InvalidConfig("Empty inputs".into()));
}
let dim = values[0].len();
let mut output = vec![0.0f32; dim];
for (weight, value) in weights.iter().zip(values.iter()) {
for (o, &v) in output.iter_mut().zip(value.iter()) {
*o += weight * v;
}
}
Ok(output)
}
}
impl Attention for MixedCurvatureFusedAttention {
fn compute(
&self,
query: &[f32],
keys: &[&[f32]],
values: &[&[f32]],
) -> AttentionResult<Vec<f32>> {
let cache = self.build_cache(keys);
self.compute_with_cache(query, keys, values, &cache, 0)
}
fn compute_with_mask(
&self,
query: &[f32],
keys: &[&[f32]],
values: &[&[f32]],
mask: Option<&[bool]>,
) -> AttentionResult<Vec<f32>> {
if let Some(m) = mask {
let filtered: Vec<(&[f32], &[f32])> = keys
.iter()
.zip(values.iter())
.enumerate()
.filter(|(i, _)| m.get(*i).copied().unwrap_or(true))
.map(|(_, (k, v))| (*k, *v))
.collect();
let filtered_keys: Vec<&[f32]> = filtered.iter().map(|(k, _)| *k).collect();
let filtered_values: Vec<&[f32]> = filtered.iter().map(|(_, v)| *v).collect();
self.compute(query, &filtered_keys, &filtered_values)
} else {
self.compute(query, keys, values)
}
}
fn dim(&self) -> usize {
self.config.dim
}
fn num_heads(&self) -> usize {
self.config.num_heads
}
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn test_fused_attention_config() {
let config = FusedCurvatureConfig {
dim: 64,
euclidean_dim: 32,
hyperbolic_dim: 24,
spherical_dim: 8,
..Default::default()
};
assert!(config.validate().is_ok());
}
#[test]
fn test_fused_attention() {
let config = FusedCurvatureConfig {
dim: 64,
euclidean_dim: 32,
hyperbolic_dim: 24,
spherical_dim: 8,
..Default::default()
};
let attention = MixedCurvatureFusedAttention::new(config);
let query = vec![0.5f32; 64];
let keys: Vec<Vec<f32>> = (0..20).map(|i| vec![0.1 + i as f32 * 0.02; 64]).collect();
let values: Vec<Vec<f32>> = (0..20).map(|i| vec![i as f32; 64]).collect();
let keys_refs: Vec<&[f32]> = keys.iter().map(|k| k.as_slice()).collect();
let values_refs: Vec<&[f32]> = values.iter().map(|v| v.as_slice()).collect();
let output = attention.compute(&query, &keys_refs, &values_refs).unwrap();
assert_eq!(output.len(), 64);
}
#[test]
fn test_cache_reuse() {
let attention = MixedCurvatureFusedAttention::with_dim(32);
let keys: Vec<Vec<f32>> = (0..10).map(|i| vec![0.1 * i as f32; 32]).collect();
let values: Vec<Vec<f32>> = (0..10).map(|i| vec![i as f32; 32]).collect();
let keys_refs: Vec<&[f32]> = keys.iter().map(|k| k.as_slice()).collect();
let values_refs: Vec<&[f32]> = values.iter().map(|v| v.as_slice()).collect();
let cache = attention.build_cache(&keys_refs);
// Multiple queries with same cache
for h in 0..4 {
let query = vec![0.5f32; 32];
let output = attention
.compute_with_cache(&query, &keys_refs, &values_refs, &cache, h)
.unwrap();
assert_eq!(output.len(), 32);
}
}
}

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//! Mixed Curvature Attention
//!
//! Attention in product spaces: E^e × H^h × S^s
//!
//! ## Key Optimizations
//!
//! 1. **Tangent Space Mapping**: Map hyperbolic to tangent space at origin
//! 2. **Fused Dot Kernel**: Single vectorized loop for all three similarities
//! 3. **Per-Head Mixing**: Low-rank learned weights per head
//! 4. **Quantization-Friendly**: Different precision for each component
mod component_quantizer;
mod fused_attention;
mod tangent_space;
pub use component_quantizer::{ComponentQuantizer, QuantizationConfig, QuantizedVector};
pub use fused_attention::{
FusedCurvatureConfig, MixedCurvatureCache, MixedCurvatureFusedAttention,
};
pub use tangent_space::{TangentSpaceConfig, TangentSpaceMapper};
#[cfg(test)]
mod tests {
#[test]
fn test_module_exists() {
assert!(true);
}
}

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//! Tangent Space Mapping for Fast Hyperbolic Operations
//!
//! Instead of computing full geodesic distances in hyperbolic space,
//! we map points to the tangent space at a learned origin and use
//! dot products. This is 10-100x faster while preserving hierarchy.
use serde::{Deserialize, Serialize};
/// Configuration for tangent space mapping
#[derive(Debug, Clone, Serialize, Deserialize)]
pub struct TangentSpaceConfig {
/// Dimension of hyperbolic component
pub hyperbolic_dim: usize,
/// Curvature (negative, e.g., -1.0)
pub curvature: f32,
/// Whether to learn the origin
pub learnable_origin: bool,
}
impl Default for TangentSpaceConfig {
fn default() -> Self {
Self {
hyperbolic_dim: 32,
curvature: -1.0,
learnable_origin: true,
}
}
}
/// Tangent space mapper for hyperbolic geometry
///
/// Maps points from Poincaré ball to tangent space at origin,
/// enabling fast dot-product similarity instead of geodesic distance.
#[derive(Debug, Clone)]
pub struct TangentSpaceMapper {
config: TangentSpaceConfig,
/// Origin point in Poincaré ball
origin: Vec<f32>,
/// Conformal factor at origin
lambda_origin: f32,
}
impl TangentSpaceMapper {
/// Create new mapper with config
pub fn new(config: TangentSpaceConfig) -> Self {
let origin = vec![0.0f32; config.hyperbolic_dim];
let c = -config.curvature;
let origin_norm_sq: f32 = origin.iter().map(|x| x * x).sum();
let lambda_origin = 2.0 / (1.0 - c * origin_norm_sq).max(1e-8);
Self {
config,
origin,
lambda_origin,
}
}
/// Set custom origin (for learned origins)
pub fn set_origin(&mut self, origin: Vec<f32>) {
let c = -self.config.curvature;
let origin_norm_sq: f32 = origin.iter().map(|x| x * x).sum();
self.lambda_origin = 2.0 / (1.0 - c * origin_norm_sq).max(1e-8);
self.origin = origin;
}
/// Map point from Poincaré ball to tangent space at origin
///
/// log_o(x) = (2 / λ_o) * arctanh(√c ||o ⊕ x||) * (o ⊕ x) / ||o ⊕ x||
///
/// For origin at 0, this simplifies to:
/// log_0(x) = 2 * arctanh(√c ||x||) * x / (√c ||x||)
#[inline]
pub fn log_map(&self, point: &[f32]) -> Vec<f32> {
let c = -self.config.curvature;
let sqrt_c = c.sqrt();
// For origin at 0, Möbius addition o ⊕ x = x
if self.origin.iter().all(|&x| x.abs() < 1e-8) {
return self.log_map_at_origin(point, sqrt_c);
}
// General case: compute -origin ⊕ point
let neg_origin: Vec<f32> = self.origin.iter().map(|x| -x).collect();
let diff = self.mobius_add(&neg_origin, point, c);
let diff_norm: f32 = diff.iter().map(|x| x * x).sum::<f32>().sqrt();
if diff_norm < 1e-8 {
return vec![0.0f32; point.len()];
}
let scale =
(2.0 / self.lambda_origin) * (sqrt_c * diff_norm).atanh() / (sqrt_c * diff_norm);
diff.iter().map(|&d| scale * d).collect()
}
/// Fast log map at origin (most common case)
#[inline]
fn log_map_at_origin(&self, point: &[f32], sqrt_c: f32) -> Vec<f32> {
let norm: f32 = point.iter().map(|x| x * x).sum::<f32>().sqrt();
if norm < 1e-8 {
return vec![0.0f32; point.len()];
}
// Clamp to avoid infinity
let arg = (sqrt_c * norm).min(0.99);
let scale = 2.0 * arg.atanh() / (sqrt_c * norm);
point.iter().map(|&p| scale * p).collect()
}
/// Möbius addition in Poincaré ball
fn mobius_add(&self, x: &[f32], y: &[f32], c: f32) -> Vec<f32> {
let x_norm_sq: f32 = x.iter().map(|xi| xi * xi).sum();
let y_norm_sq: f32 = y.iter().map(|yi| yi * yi).sum();
let xy_dot: f32 = x.iter().zip(y.iter()).map(|(&xi, &yi)| xi * yi).sum();
let num_coef = 1.0 + 2.0 * c * xy_dot + c * y_norm_sq;
let denom = 1.0 + 2.0 * c * xy_dot + c * c * x_norm_sq * y_norm_sq;
if denom.abs() < 1e-8 {
return x.to_vec();
}
let y_coef = 1.0 - c * x_norm_sq;
x.iter()
.zip(y.iter())
.map(|(&xi, &yi)| (num_coef * xi + y_coef * yi) / denom)
.collect()
}
/// Compute tangent space similarity (dot product in tangent space)
///
/// This approximates hyperbolic distance but is much faster.
#[inline]
pub fn tangent_similarity(&self, a: &[f32], b: &[f32]) -> f32 {
// Map both to tangent space
let ta = self.log_map(a);
let tb = self.log_map(b);
// Dot product
ta.iter().zip(tb.iter()).map(|(&ai, &bi)| ai * bi).sum()
}
/// Batch map points to tangent space (cache for window)
pub fn batch_log_map(&self, points: &[&[f32]]) -> Vec<Vec<f32>> {
points.iter().map(|p| self.log_map(p)).collect()
}
/// Compute similarities in tangent space (all pairwise with query)
pub fn batch_tangent_similarity(
&self,
query_tangent: &[f32],
keys_tangent: &[&[f32]],
) -> Vec<f32> {
keys_tangent
.iter()
.map(|k| Self::dot_product_simd(query_tangent, k))
.collect()
}
/// SIMD-friendly dot product
#[inline(always)]
fn dot_product_simd(a: &[f32], b: &[f32]) -> f32 {
let len = a.len().min(b.len());
let chunks = len / 4;
let remainder = len % 4;
let mut sum0 = 0.0f32;
let mut sum1 = 0.0f32;
let mut sum2 = 0.0f32;
let mut sum3 = 0.0f32;
for i in 0..chunks {
let base = i * 4;
sum0 += a[base] * b[base];
sum1 += a[base + 1] * b[base + 1];
sum2 += a[base + 2] * b[base + 2];
sum3 += a[base + 3] * b[base + 3];
}
let base = chunks * 4;
for i in 0..remainder {
sum0 += a[base + i] * b[base + i];
}
sum0 + sum1 + sum2 + sum3
}
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn test_log_map_at_origin() {
let config = TangentSpaceConfig {
hyperbolic_dim: 4,
curvature: -1.0,
learnable_origin: false,
};
let mapper = TangentSpaceMapper::new(config);
// Point at origin maps to zero
let origin = vec![0.0f32; 4];
let result = mapper.log_map(&origin);
assert!(result.iter().all(|&x| x.abs() < 1e-6));
// Non-zero point
let point = vec![0.1, 0.2, 0.0, 0.0];
let tangent = mapper.log_map(&point);
assert_eq!(tangent.len(), 4);
}
#[test]
fn test_tangent_similarity() {
let config = TangentSpaceConfig {
hyperbolic_dim: 4,
curvature: -1.0,
learnable_origin: false,
};
let mapper = TangentSpaceMapper::new(config);
let a = vec![0.1, 0.1, 0.0, 0.0];
let b = vec![0.1, 0.1, 0.0, 0.0];
// Same points should have high similarity
let sim = mapper.tangent_similarity(&a, &b);
assert!(sim > 0.0);
}
#[test]
fn test_batch_operations() {
let config = TangentSpaceConfig::default();
let mapper = TangentSpaceMapper::new(config);
let points: Vec<Vec<f32>> = (0..10).map(|i| vec![i as f32 * 0.05; 32]).collect();
let points_refs: Vec<&[f32]> = points.iter().map(|p| p.as_slice()).collect();
let tangents = mapper.batch_log_map(&points_refs);
assert_eq!(tangents.len(), 10);
}
}

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//! Error types for the ruvector-attention crate.
//!
//! This module defines all error types that can occur during attention computation,
//! configuration, and training operations.
use thiserror::Error;
/// Errors that can occur during attention operations.
#[derive(Error, Debug, Clone)]
pub enum AttentionError {
/// Dimension mismatch between query, key, or value tensors.
#[error("Dimension mismatch: expected {expected}, got {actual}")]
DimensionMismatch {
/// Expected dimension size
expected: usize,
/// Actual dimension size
actual: usize,
},
/// Invalid configuration parameter.
#[error("Invalid configuration: {0}")]
InvalidConfig(String),
/// Error during attention computation.
#[error("Computation error: {0}")]
ComputationError(String),
/// Memory allocation failure.
#[error("Memory allocation failed: {0}")]
MemoryError(String),
/// Invalid head configuration for multi-head attention.
#[error("Invalid head count: dimension {dim} not divisible by {num_heads} heads")]
InvalidHeadCount {
/// Model dimension
dim: usize,
/// Number of attention heads
num_heads: usize,
},
/// Empty input provided.
#[error("Empty input: {0}")]
EmptyInput(String),
/// Invalid edge configuration for graph attention.
#[error("Invalid edge configuration: {0}")]
InvalidEdges(String),
/// Numerical instability detected.
#[error("Numerical instability: {0}")]
NumericalInstability(String),
/// Invalid mask dimensions.
#[error("Invalid mask dimensions: expected {expected}, got {actual}")]
InvalidMask {
/// Expected mask dimensions
expected: String,
/// Actual mask dimensions
actual: String,
},
}
/// Result type for attention operations.
pub type AttentionResult<T> = Result<T, AttentionError>;
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn test_error_display() {
let err = AttentionError::DimensionMismatch {
expected: 512,
actual: 256,
};
assert_eq!(err.to_string(), "Dimension mismatch: expected 512, got 256");
let err = AttentionError::InvalidConfig("dropout must be in [0, 1]".to_string());
assert_eq!(
err.to_string(),
"Invalid configuration: dropout must be in [0, 1]"
);
}
#[test]
fn test_error_clone() {
let err = AttentionError::ComputationError("test".to_string());
let cloned = err.clone();
assert_eq!(err.to_string(), cloned.to_string());
}
}

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//! Dual-space attention combining Euclidean and Hyperbolic geometries
//!
//! This module implements attention that operates in both Euclidean and hyperbolic
//! spaces, combining their complementary properties:
//! - Euclidean: Good for flat, local structure
//! - Hyperbolic: Good for hierarchical, tree-like structure
use crate::error::{AttentionError, AttentionResult};
use crate::hyperbolic::project_to_ball;
use crate::traits::Attention;
use crate::utils::stable_softmax;
/// Compute Poincaré distance between two points
fn poincare_dist(u: &[f32], v: &[f32], curvature: f32) -> f32 {
let c = curvature.abs();
let sqrt_c = c.sqrt();
let diff_sq: f32 = u.iter().zip(v.iter()).map(|(a, b)| (a - b).powi(2)).sum();
let norm_u_sq: f32 = u.iter().map(|x| x * x).sum();
let norm_v_sq: f32 = v.iter().map(|x| x * x).sum();
let denom = (1.0 - c * norm_u_sq).max(1e-7) * (1.0 - c * norm_v_sq).max(1e-7);
let arg = 1.0 + 2.0 * c * diff_sq / denom;
(1.0 / sqrt_c) * arg.max(1.0).acosh()
}
/// Configuration for dual-space attention
#[derive(Clone, Debug)]
pub struct DualSpaceConfig {
pub dim: usize,
pub curvature: f32,
pub euclidean_weight: f32,
pub hyperbolic_weight: f32,
pub learn_weights: bool,
pub temperature: f32,
}
impl Default for DualSpaceConfig {
fn default() -> Self {
Self {
dim: 256,
curvature: 1.0,
euclidean_weight: 0.5,
hyperbolic_weight: 0.5,
learn_weights: false,
temperature: 1.0,
}
}
}
impl DualSpaceConfig {
pub fn builder() -> DualSpaceConfigBuilder {
DualSpaceConfigBuilder::default()
}
}
#[derive(Default)]
pub struct DualSpaceConfigBuilder {
config: DualSpaceConfig,
}
impl DualSpaceConfigBuilder {
pub fn dim(mut self, d: usize) -> Self {
self.config.dim = d;
self
}
pub fn curvature(mut self, c: f32) -> Self {
self.config.curvature = c;
self
}
pub fn euclidean_weight(mut self, w: f32) -> Self {
self.config.euclidean_weight = w;
self
}
pub fn hyperbolic_weight(mut self, w: f32) -> Self {
self.config.hyperbolic_weight = w;
self
}
pub fn temperature(mut self, t: f32) -> Self {
self.config.temperature = t;
self
}
pub fn build(self) -> DualSpaceConfig {
self.config
}
}
/// Dual-space attention layer
pub struct DualSpaceAttention {
config: DualSpaceConfig,
scale: f32,
/// Linear projection for Euclidean space
w_euclidean: Vec<f32>,
/// Linear projection for hyperbolic space
w_hyperbolic: Vec<f32>,
/// Output projection
w_out: Vec<f32>,
}
impl DualSpaceAttention {
pub fn new(config: DualSpaceConfig) -> Self {
let dim = config.dim;
let scale = 1.0 / (dim as f32).sqrt();
// Xavier initialization
let w_scale = (2.0 / (dim + dim) as f32).sqrt();
let mut seed = 42u64;
let mut rand = || {
seed = seed.wrapping_mul(6364136223846793005).wrapping_add(1);
((seed as f32) / (u64::MAX as f32) - 0.5) * 2.0 * w_scale
};
let w_euclidean: Vec<f32> = (0..dim * dim).map(|_| rand()).collect();
let w_hyperbolic: Vec<f32> = (0..dim * dim).map(|_| rand()).collect();
let w_out: Vec<f32> = (0..dim * dim).map(|_| rand()).collect();
Self {
config,
scale,
w_euclidean,
w_hyperbolic,
w_out,
}
}
/// Project to Euclidean representation
fn to_euclidean(&self, x: &[f32]) -> Vec<f32> {
let dim = self.config.dim;
(0..dim)
.map(|i| {
x.iter()
.enumerate()
.map(|(j, &xj)| xj * self.w_euclidean[i * dim + j])
.sum()
})
.collect()
}
/// Project to hyperbolic representation (Poincaré ball)
fn to_hyperbolic(&self, x: &[f32]) -> Vec<f32> {
let dim = self.config.dim;
let projected: Vec<f32> = (0..dim)
.map(|i| {
x.iter()
.enumerate()
.map(|(j, &xj)| xj * self.w_hyperbolic[i * dim + j])
.sum()
})
.collect();
// Project to ball with curvature
project_to_ball(&projected, self.config.curvature, 1e-5)
}
/// Compute Euclidean similarity (dot product)
fn euclidean_similarity(&self, q: &[f32], k: &[f32]) -> f32 {
q.iter().zip(k.iter()).map(|(a, b)| a * b).sum::<f32>() * self.scale
}
/// Compute hyperbolic similarity (negative Poincaré distance)
fn hyperbolic_similarity(&self, q: &[f32], k: &[f32]) -> f32 {
-poincare_dist(q, k, self.config.curvature)
}
/// Output projection
fn project_output(&self, x: &[f32]) -> Vec<f32> {
let dim = self.config.dim;
(0..dim)
.map(|i| {
x.iter()
.enumerate()
.map(|(j, &xj)| xj * self.w_out[i * dim + j])
.sum()
})
.collect()
}
/// Get the contribution weights for analysis
pub fn get_space_contributions(&self, query: &[f32], keys: &[&[f32]]) -> (Vec<f32>, Vec<f32>) {
let q_euc = self.to_euclidean(query);
let q_hyp = self.to_hyperbolic(query);
let euc_scores: Vec<f32> = keys
.iter()
.map(|k| {
let k_euc = self.to_euclidean(k);
self.euclidean_similarity(&q_euc, &k_euc)
})
.collect();
let hyp_scores: Vec<f32> = keys
.iter()
.map(|k| {
let k_hyp = self.to_hyperbolic(k);
self.hyperbolic_similarity(&q_hyp, &k_hyp)
})
.collect();
(euc_scores, hyp_scores)
}
}
impl Attention for DualSpaceAttention {
fn compute(
&self,
query: &[f32],
keys: &[&[f32]],
values: &[&[f32]],
) -> AttentionResult<Vec<f32>> {
if keys.is_empty() {
return Err(AttentionError::InvalidConfig("Empty keys".to_string()));
}
if query.len() != self.config.dim {
return Err(AttentionError::DimensionMismatch {
expected: self.config.dim,
actual: query.len(),
});
}
let n = keys.len();
let value_dim = values[0].len();
let temp = self.config.temperature;
// Project query to both spaces
let q_euc = self.to_euclidean(query);
let q_hyp = self.to_hyperbolic(query);
// Compute combined scores
let mut combined_scores = Vec::with_capacity(n);
for key in keys.iter() {
let k_euc = self.to_euclidean(key);
let k_hyp = self.to_hyperbolic(key);
let euc_score = self.euclidean_similarity(&q_euc, &k_euc);
let hyp_score = self.hyperbolic_similarity(&q_hyp, &k_hyp);
// Weighted combination
let combined = (self.config.euclidean_weight * euc_score
+ self.config.hyperbolic_weight * hyp_score)
/ temp;
combined_scores.push(combined);
}
// Softmax over combined scores
let weights = stable_softmax(&combined_scores);
// Weighted sum of values
let mut output = vec![0.0f32; value_dim];
for (w, v) in weights.iter().zip(values.iter()) {
for (o, &vi) in output.iter_mut().zip(v.iter()) {
*o += w * vi;
}
}
// Output projection
if value_dim == self.config.dim {
Ok(self.project_output(&output))
} else {
Ok(output)
}
}
fn compute_with_mask(
&self,
query: &[f32],
keys: &[&[f32]],
values: &[&[f32]],
mask: Option<&[bool]>,
) -> AttentionResult<Vec<f32>> {
if let Some(m) = mask {
let filtered: Vec<(usize, bool)> = m
.iter()
.copied()
.enumerate()
.filter(|(_, keep)| *keep)
.collect();
let filtered_keys: Vec<&[f32]> = filtered.iter().map(|(i, _)| keys[*i]).collect();
let filtered_values: Vec<&[f32]> = filtered.iter().map(|(i, _)| values[*i]).collect();
self.compute(query, &filtered_keys, &filtered_values)
} else {
self.compute(query, keys, values)
}
}
fn dim(&self) -> usize {
self.config.dim
}
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn test_dual_space_basic() {
let config = DualSpaceConfig::builder()
.dim(64)
.curvature(1.0)
.euclidean_weight(0.5)
.hyperbolic_weight(0.5)
.build();
let attn = DualSpaceAttention::new(config);
let query = vec![0.1; 64];
let keys: Vec<Vec<f32>> = (0..10).map(|_| vec![0.1; 64]).collect();
let values: Vec<Vec<f32>> = (0..10).map(|_| vec![1.0; 64]).collect();
let keys_refs: Vec<&[f32]> = keys.iter().map(|k| k.as_slice()).collect();
let values_refs: Vec<&[f32]> = values.iter().map(|v| v.as_slice()).collect();
let result = attn.compute(&query, &keys_refs, &values_refs).unwrap();
assert_eq!(result.len(), 64);
}
#[test]
fn test_euclidean_dominant() {
let config = DualSpaceConfig::builder()
.dim(32)
.euclidean_weight(1.0)
.hyperbolic_weight(0.0)
.build();
let attn = DualSpaceAttention::new(config);
let query = vec![0.5; 32];
let keys: Vec<Vec<f32>> = vec![vec![0.3; 32]; 5];
let values: Vec<Vec<f32>> = vec![vec![1.0; 32]; 5];
let keys_refs: Vec<&[f32]> = keys.iter().map(|k| k.as_slice()).collect();
let values_refs: Vec<&[f32]> = values.iter().map(|v| v.as_slice()).collect();
let result = attn.compute(&query, &keys_refs, &values_refs).unwrap();
assert_eq!(result.len(), 32);
}
#[test]
fn test_hyperbolic_dominant() {
let config = DualSpaceConfig::builder()
.dim(32)
.curvature(0.5)
.euclidean_weight(0.0)
.hyperbolic_weight(1.0)
.build();
let attn = DualSpaceAttention::new(config);
let query = vec![0.1; 32]; // Small values for Poincaré ball
let keys: Vec<Vec<f32>> = vec![vec![0.1; 32]; 5];
let values: Vec<Vec<f32>> = vec![vec![1.0; 32]; 5];
let keys_refs: Vec<&[f32]> = keys.iter().map(|k| k.as_slice()).collect();
let values_refs: Vec<&[f32]> = values.iter().map(|v| v.as_slice()).collect();
let result = attn.compute(&query, &keys_refs, &values_refs).unwrap();
assert_eq!(result.len(), 32);
}
#[test]
fn test_space_contributions() {
let config = DualSpaceConfig::builder()
.dim(16)
.euclidean_weight(0.5)
.hyperbolic_weight(0.5)
.build();
let attn = DualSpaceAttention::new(config);
let query = vec![0.2; 16];
let keys: Vec<Vec<f32>> = vec![vec![0.2; 16]; 3];
let keys_refs: Vec<&[f32]> = keys.iter().map(|k| k.as_slice()).collect();
let (euc_scores, hyp_scores) = attn.get_space_contributions(&query, &keys_refs);
assert_eq!(euc_scores.len(), 3);
assert_eq!(hyp_scores.len(), 3);
}
#[test]
fn test_temperature_scaling() {
let config_low_temp = DualSpaceConfig::builder().dim(16).temperature(0.5).build();
let config_high_temp = DualSpaceConfig::builder().dim(16).temperature(2.0).build();
let attn_low = DualSpaceAttention::new(config_low_temp);
let attn_high = DualSpaceAttention::new(config_high_temp);
let query = vec![0.5; 16];
let keys: Vec<Vec<f32>> = vec![vec![0.8; 16], vec![0.2; 16]];
let values: Vec<Vec<f32>> = vec![vec![1.0; 16], vec![0.0; 16]];
let keys_refs: Vec<&[f32]> = keys.iter().map(|k| k.as_slice()).collect();
let values_refs: Vec<&[f32]> = values.iter().map(|v| v.as_slice()).collect();
let result_low = attn_low.compute(&query, &keys_refs, &values_refs).unwrap();
let result_high = attn_high.compute(&query, &keys_refs, &values_refs).unwrap();
// Low temperature should be more peaked (closer to [1,0,0...])
// High temperature should be more uniform
// We just verify both compute successfully
assert_eq!(result_low.len(), 16);
assert_eq!(result_high.len(), 16);
}
}

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//! Edge-featured graph attention (GATv2 style)
//!
//! Extends standard graph attention with edge feature integration.
use crate::error::{AttentionError, AttentionResult};
use crate::traits::Attention;
use crate::utils::stable_softmax;
/// Configuration for edge-featured attention
#[derive(Clone, Debug)]
pub struct EdgeFeaturedConfig {
pub node_dim: usize,
pub edge_dim: usize,
pub num_heads: usize,
pub dropout: f32,
pub concat_heads: bool,
pub add_self_loops: bool,
pub negative_slope: f32, // LeakyReLU slope
}
impl Default for EdgeFeaturedConfig {
fn default() -> Self {
Self {
node_dim: 256,
edge_dim: 64,
num_heads: 4,
dropout: 0.0,
concat_heads: true,
add_self_loops: true,
negative_slope: 0.2,
}
}
}
impl EdgeFeaturedConfig {
pub fn builder() -> EdgeFeaturedConfigBuilder {
EdgeFeaturedConfigBuilder::default()
}
pub fn head_dim(&self) -> usize {
self.node_dim / self.num_heads
}
}
#[derive(Default)]
pub struct EdgeFeaturedConfigBuilder {
config: EdgeFeaturedConfig,
}
impl EdgeFeaturedConfigBuilder {
pub fn node_dim(mut self, d: usize) -> Self {
self.config.node_dim = d;
self
}
pub fn edge_dim(mut self, d: usize) -> Self {
self.config.edge_dim = d;
self
}
pub fn num_heads(mut self, n: usize) -> Self {
self.config.num_heads = n;
self
}
pub fn dropout(mut self, d: f32) -> Self {
self.config.dropout = d;
self
}
pub fn concat_heads(mut self, c: bool) -> Self {
self.config.concat_heads = c;
self
}
pub fn negative_slope(mut self, s: f32) -> Self {
self.config.negative_slope = s;
self
}
pub fn build(self) -> EdgeFeaturedConfig {
self.config
}
}
/// Edge-featured graph attention layer
pub struct EdgeFeaturedAttention {
config: EdgeFeaturedConfig,
// Weight matrices (would be learnable in training)
w_node: Vec<f32>, // [num_heads, head_dim, node_dim]
w_edge: Vec<f32>, // [num_heads, head_dim, edge_dim]
a_src: Vec<f32>, // [num_heads, head_dim]
a_dst: Vec<f32>, // [num_heads, head_dim]
a_edge: Vec<f32>, // [num_heads, head_dim]
}
impl EdgeFeaturedAttention {
pub fn new(config: EdgeFeaturedConfig) -> Self {
let head_dim = config.head_dim();
let num_heads = config.num_heads;
// Xavier initialization
let node_scale = (2.0 / (config.node_dim + head_dim) as f32).sqrt();
let edge_scale = (2.0 / (config.edge_dim + head_dim) as f32).sqrt();
let attn_scale = (1.0 / head_dim as f32).sqrt();
let mut seed = 42u64;
let mut rand = || {
seed = seed.wrapping_mul(6364136223846793005).wrapping_add(1);
(seed as f32) / (u64::MAX as f32) - 0.5
};
let w_node: Vec<f32> = (0..num_heads * head_dim * config.node_dim)
.map(|_| rand() * 2.0 * node_scale)
.collect();
let w_edge: Vec<f32> = (0..num_heads * head_dim * config.edge_dim)
.map(|_| rand() * 2.0 * edge_scale)
.collect();
let a_src: Vec<f32> = (0..num_heads * head_dim)
.map(|_| rand() * 2.0 * attn_scale)
.collect();
let a_dst: Vec<f32> = (0..num_heads * head_dim)
.map(|_| rand() * 2.0 * attn_scale)
.collect();
let a_edge: Vec<f32> = (0..num_heads * head_dim)
.map(|_| rand() * 2.0 * attn_scale)
.collect();
Self {
config,
w_node,
w_edge,
a_src,
a_dst,
a_edge,
}
}
/// Transform node features for a specific head
fn transform_node(&self, node: &[f32], head: usize) -> Vec<f32> {
let head_dim = self.config.head_dim();
let node_dim = self.config.node_dim;
(0..head_dim)
.map(|i| {
node.iter()
.enumerate()
.map(|(j, &nj)| nj * self.w_node[head * head_dim * node_dim + i * node_dim + j])
.sum()
})
.collect()
}
/// Transform edge features for a specific head
fn transform_edge(&self, edge: &[f32], head: usize) -> Vec<f32> {
let head_dim = self.config.head_dim();
let edge_dim = self.config.edge_dim;
(0..head_dim)
.map(|i| {
edge.iter()
.enumerate()
.map(|(j, &ej)| ej * self.w_edge[head * head_dim * edge_dim + i * edge_dim + j])
.sum()
})
.collect()
}
/// Compute attention coefficient with LeakyReLU
fn attention_coeff(&self, src: &[f32], dst: &[f32], edge: &[f32], head: usize) -> f32 {
let head_dim = self.config.head_dim();
let mut score = 0.0f32;
for i in 0..head_dim {
let offset = head * head_dim + i;
score += src[i] * self.a_src[offset];
score += dst[i] * self.a_dst[offset];
score += edge[i] * self.a_edge[offset];
}
// LeakyReLU
if score < 0.0 {
self.config.negative_slope * score
} else {
score
}
}
}
impl EdgeFeaturedAttention {
/// Compute attention with explicit edge features
pub fn compute_with_edges(
&self,
query: &[f32],
keys: &[&[f32]],
values: &[&[f32]],
edges: &[&[f32]],
) -> AttentionResult<Vec<f32>> {
if keys.len() != edges.len() {
return Err(AttentionError::InvalidConfig(
"Keys and edges must have same length".to_string(),
));
}
let num_heads = self.config.num_heads;
let head_dim = self.config.head_dim();
let n = keys.len();
// Transform query once per head
let query_transformed: Vec<Vec<f32>> = (0..num_heads)
.map(|h| self.transform_node(query, h))
.collect();
// Compute per-head outputs
let mut head_outputs: Vec<Vec<f32>> = Vec::with_capacity(num_heads);
for h in 0..num_heads {
// Transform all keys and edges
let keys_t: Vec<Vec<f32>> = keys.iter().map(|k| self.transform_node(k, h)).collect();
let edges_t: Vec<Vec<f32>> = edges.iter().map(|e| self.transform_edge(e, h)).collect();
// Compute attention coefficients
let coeffs: Vec<f32> = (0..n)
.map(|i| self.attention_coeff(&query_transformed[h], &keys_t[i], &edges_t[i], h))
.collect();
// Softmax
let weights = stable_softmax(&coeffs);
// Weighted sum of values
let mut head_out = vec![0.0f32; head_dim];
for (i, &w) in weights.iter().enumerate() {
let value_t = self.transform_node(values[i], h);
for (j, &vj) in value_t.iter().enumerate() {
head_out[j] += w * vj;
}
}
head_outputs.push(head_out);
}
// Concatenate or average heads
if self.config.concat_heads {
Ok(head_outputs.into_iter().flatten().collect())
} else {
let mut output = vec![0.0f32; head_dim];
for head_out in &head_outputs {
for (i, &v) in head_out.iter().enumerate() {
output[i] += v / num_heads as f32;
}
}
Ok(output)
}
}
/// Get the edge feature dimension
pub fn edge_dim(&self) -> usize {
self.config.edge_dim
}
}
impl Attention for EdgeFeaturedAttention {
fn compute(
&self,
query: &[f32],
keys: &[&[f32]],
values: &[&[f32]],
) -> AttentionResult<Vec<f32>> {
if keys.is_empty() {
return Err(AttentionError::InvalidConfig("Empty keys".to_string()));
}
if query.len() != self.config.node_dim {
return Err(AttentionError::DimensionMismatch {
expected: self.config.node_dim,
actual: query.len(),
});
}
// Use zero edge features for basic attention
let zero_edge = vec![0.0f32; self.config.edge_dim];
let edges: Vec<&[f32]> = (0..keys.len()).map(|_| zero_edge.as_slice()).collect();
self.compute_with_edges(query, keys, values, &edges)
}
fn compute_with_mask(
&self,
query: &[f32],
keys: &[&[f32]],
values: &[&[f32]],
mask: Option<&[bool]>,
) -> AttentionResult<Vec<f32>> {
// Apply mask by filtering keys/values
if let Some(m) = mask {
let filtered: Vec<(usize, bool)> = m
.iter()
.copied()
.enumerate()
.filter(|(_, keep)| *keep)
.collect();
let filtered_keys: Vec<&[f32]> = filtered.iter().map(|(i, _)| keys[*i]).collect();
let filtered_values: Vec<&[f32]> = filtered.iter().map(|(i, _)| values[*i]).collect();
self.compute(query, &filtered_keys, &filtered_values)
} else {
self.compute(query, keys, values)
}
}
fn dim(&self) -> usize {
if self.config.concat_heads {
self.config.node_dim
} else {
self.config.head_dim()
}
}
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn test_edge_featured_attention() {
let config = EdgeFeaturedConfig::builder()
.node_dim(64)
.edge_dim(16)
.num_heads(4)
.build();
let attn = EdgeFeaturedAttention::new(config);
let query = vec![0.5; 64];
let keys: Vec<Vec<f32>> = (0..10).map(|_| vec![0.3; 64]).collect();
let values: Vec<Vec<f32>> = (0..10).map(|_| vec![1.0; 64]).collect();
let edges: Vec<Vec<f32>> = (0..10).map(|_| vec![0.2; 16]).collect();
let keys_refs: Vec<&[f32]> = keys.iter().map(|k| k.as_slice()).collect();
let values_refs: Vec<&[f32]> = values.iter().map(|v| v.as_slice()).collect();
let edges_refs: Vec<&[f32]> = edges.iter().map(|e| e.as_slice()).collect();
let result = attn
.compute_with_edges(&query, &keys_refs, &values_refs, &edges_refs)
.unwrap();
assert_eq!(result.len(), 64);
}
#[test]
fn test_without_edges() {
let config = EdgeFeaturedConfig::builder()
.node_dim(32)
.edge_dim(8)
.num_heads(2)
.build();
let attn = EdgeFeaturedAttention::new(config);
let query = vec![0.5; 32];
let keys: Vec<Vec<f32>> = vec![vec![0.3; 32]; 5];
let values: Vec<Vec<f32>> = vec![vec![1.0; 32]; 5];
let keys_refs: Vec<&[f32]> = keys.iter().map(|k| k.as_slice()).collect();
let values_refs: Vec<&[f32]> = values.iter().map(|v| v.as_slice()).collect();
let result = attn.compute(&query, &keys_refs, &values_refs).unwrap();
assert_eq!(result.len(), 32);
}
#[test]
fn test_leaky_relu() {
let config = EdgeFeaturedConfig::builder()
.node_dim(16)
.edge_dim(4)
.num_heads(1)
.negative_slope(0.2)
.build();
let attn = EdgeFeaturedAttention::new(config);
// Just verify it computes without error
let query = vec![-1.0; 16];
let keys: Vec<Vec<f32>> = vec![vec![-0.5; 16]; 3];
let values: Vec<Vec<f32>> = vec![vec![1.0; 16]; 3];
let keys_refs: Vec<&[f32]> = keys.iter().map(|k| k.as_slice()).collect();
let values_refs: Vec<&[f32]> = values.iter().map(|v| v.as_slice()).collect();
let result = attn.compute(&query, &keys_refs, &values_refs).unwrap();
assert_eq!(result.len(), 16);
}
}

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//! Graph attention mechanisms for GNN applications
//!
//! This module provides graph-specific attention implementations:
//! - Edge-featured attention (GAT with edge features)
//! - Rotary position embeddings for graphs (RoPE)
//! - Dual-space attention (Euclidean + Hyperbolic)
pub mod dual_space;
pub mod edge_featured;
pub mod rope;
pub use dual_space::{DualSpaceAttention, DualSpaceConfig};
pub use edge_featured::{EdgeFeaturedAttention, EdgeFeaturedConfig};
pub use rope::{GraphRoPE, RoPEConfig};

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//! Rotary Position Embeddings (RoPE) for Graph Attention
//!
//! Adapts RoPE for graph structures where positions are defined by graph topology
//! (e.g., hop distance, shortest path length, or learned positional encodings).
use crate::error::{AttentionError, AttentionResult};
use crate::traits::Attention;
use crate::utils::stable_softmax;
/// Configuration for Graph RoPE
#[derive(Clone, Debug)]
pub struct RoPEConfig {
pub dim: usize,
pub base: f32,
pub max_position: usize,
pub scaling_factor: f32,
}
impl Default for RoPEConfig {
fn default() -> Self {
Self {
dim: 256,
base: 10000.0,
max_position: 512,
scaling_factor: 1.0,
}
}
}
impl RoPEConfig {
pub fn builder() -> RoPEConfigBuilder {
RoPEConfigBuilder::default()
}
}
#[derive(Default)]
pub struct RoPEConfigBuilder {
config: RoPEConfig,
}
impl RoPEConfigBuilder {
pub fn dim(mut self, d: usize) -> Self {
self.config.dim = d;
self
}
pub fn base(mut self, b: f32) -> Self {
self.config.base = b;
self
}
pub fn max_position(mut self, m: usize) -> Self {
self.config.max_position = m;
self
}
pub fn scaling_factor(mut self, s: f32) -> Self {
self.config.scaling_factor = s;
self
}
pub fn build(self) -> RoPEConfig {
self.config
}
}
/// Graph attention with Rotary Position Embeddings
pub struct GraphRoPE {
config: RoPEConfig,
/// Precomputed cos/sin tables: [max_position, dim]
cos_cache: Vec<f32>,
sin_cache: Vec<f32>,
scale: f32,
}
impl GraphRoPE {
pub fn new(config: RoPEConfig) -> Self {
let dim = config.dim;
let max_pos = config.max_position;
let base = config.base;
let scaling = config.scaling_factor;
// Compute frequency bands
let half_dim = dim / 2;
let inv_freq: Vec<f32> = (0..half_dim)
.map(|i| 1.0 / (base.powf(2.0 * i as f32 / dim as f32)))
.collect();
// Precompute cos/sin for all positions
let mut cos_cache = Vec::with_capacity(max_pos * dim);
let mut sin_cache = Vec::with_capacity(max_pos * dim);
for pos in 0..max_pos {
let scaled_pos = pos as f32 / scaling;
for i in 0..half_dim {
let theta = scaled_pos * inv_freq[i];
cos_cache.push(theta.cos());
sin_cache.push(theta.sin());
}
// Duplicate for both halves (interleaved format)
for i in 0..half_dim {
let theta = scaled_pos * inv_freq[i];
cos_cache.push(theta.cos());
sin_cache.push(theta.sin());
}
}
Self {
scale: 1.0 / (dim as f32).sqrt(),
config,
cos_cache,
sin_cache,
}
}
/// Apply rotary embedding to a vector at given position
pub fn apply_rotary(&self, x: &[f32], position: usize) -> Vec<f32> {
let dim = self.config.dim;
let half = dim / 2;
let pos = position.min(self.config.max_position - 1);
let offset = pos * dim;
let mut result = vec![0.0f32; dim];
// Apply rotation to first half
for i in 0..half {
let cos = self.cos_cache[offset + i];
let sin = self.sin_cache[offset + i];
result[i] = x[i] * cos - x[half + i] * sin;
result[half + i] = x[i] * sin + x[half + i] * cos;
}
result
}
/// Compute attention with positional encoding based on graph distances
pub fn compute_with_positions(
&self,
query: &[f32],
keys: &[&[f32]],
values: &[&[f32]],
query_pos: usize,
key_positions: &[usize],
) -> AttentionResult<Vec<f32>> {
if keys.is_empty() {
return Err(AttentionError::InvalidConfig("Empty keys".to_string()));
}
if keys.len() != key_positions.len() {
return Err(AttentionError::InvalidConfig(
"Keys and positions must have same length".to_string(),
));
}
if query.len() != self.config.dim {
return Err(AttentionError::DimensionMismatch {
expected: self.config.dim,
actual: query.len(),
});
}
// Apply rotary to query
let q_rot = self.apply_rotary(query, query_pos);
// Compute attention scores with rotary keys
let scores: Vec<f32> = keys
.iter()
.zip(key_positions.iter())
.map(|(key, &pos)| {
let k_rot = self.apply_rotary(key, pos);
q_rot
.iter()
.zip(k_rot.iter())
.map(|(q, k)| q * k)
.sum::<f32>()
* self.scale
})
.collect();
// Softmax
let weights = stable_softmax(&scores);
// Weighted sum
let value_dim = values[0].len();
let mut output = vec![0.0f32; value_dim];
for (w, v) in weights.iter().zip(values.iter()) {
for (o, &vi) in output.iter_mut().zip(v.iter()) {
*o += w * vi;
}
}
Ok(output)
}
/// Get relative position for graph distance
/// Converts graph hop distance to position index
pub fn distance_to_position(distance: usize, max_distance: usize) -> usize {
// Bucketize distances logarithmically for larger graphs
if distance <= 8 {
distance
} else {
let log_dist = (distance as f32).log2().ceil() as usize;
8 + log_dist.min(max_distance - 8)
}
}
}
impl Attention for GraphRoPE {
fn compute(
&self,
query: &[f32],
keys: &[&[f32]],
values: &[&[f32]],
) -> AttentionResult<Vec<f32>> {
// Default: use sequential positions (0, 1, 2, ...)
let query_pos = 0;
let key_positions: Vec<usize> = (0..keys.len()).collect();
self.compute_with_positions(query, keys, values, query_pos, &key_positions)
}
fn compute_with_mask(
&self,
query: &[f32],
keys: &[&[f32]],
values: &[&[f32]],
mask: Option<&[bool]>,
) -> AttentionResult<Vec<f32>> {
if let Some(m) = mask {
let filtered: Vec<(usize, bool)> = m
.iter()
.copied()
.enumerate()
.filter(|(_, keep)| *keep)
.collect();
let filtered_keys: Vec<&[f32]> = filtered.iter().map(|(i, _)| keys[*i]).collect();
let filtered_values: Vec<&[f32]> = filtered.iter().map(|(i, _)| values[*i]).collect();
self.compute(query, &filtered_keys, &filtered_values)
} else {
self.compute(query, keys, values)
}
}
fn dim(&self) -> usize {
self.config.dim
}
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn test_rope_basic() {
let config = RoPEConfig::builder().dim(64).max_position(100).build();
let rope = GraphRoPE::new(config);
let query = vec![0.5; 64];
let keys: Vec<Vec<f32>> = (0..10).map(|_| vec![0.3; 64]).collect();
let values: Vec<Vec<f32>> = (0..10).map(|_| vec![1.0; 64]).collect();
let keys_refs: Vec<&[f32]> = keys.iter().map(|k| k.as_slice()).collect();
let values_refs: Vec<&[f32]> = values.iter().map(|v| v.as_slice()).collect();
let result = rope.compute(&query, &keys_refs, &values_refs).unwrap();
assert_eq!(result.len(), 64);
}
#[test]
fn test_rope_with_positions() {
let config = RoPEConfig::builder().dim(32).max_position(50).build();
let rope = GraphRoPE::new(config);
let query = vec![0.5; 32];
let keys: Vec<Vec<f32>> = vec![vec![0.3; 32]; 5];
let values: Vec<Vec<f32>> = vec![vec![1.0; 32]; 5];
let keys_refs: Vec<&[f32]> = keys.iter().map(|k| k.as_slice()).collect();
let values_refs: Vec<&[f32]> = values.iter().map(|v| v.as_slice()).collect();
// Graph distances as positions
let key_positions = vec![1, 2, 3, 2, 4];
let result = rope
.compute_with_positions(&query, &keys_refs, &values_refs, 0, &key_positions)
.unwrap();
assert_eq!(result.len(), 32);
}
#[test]
fn test_rotary_embedding() {
let config = RoPEConfig::builder().dim(16).max_position(10).build();
let rope = GraphRoPE::new(config);
let x = vec![1.0; 16];
// Rotary should preserve norm approximately
let rotated = rope.apply_rotary(&x, 5);
let norm_orig: f32 = x.iter().map(|v| v * v).sum::<f32>().sqrt();
let norm_rot: f32 = rotated.iter().map(|v| v * v).sum::<f32>().sqrt();
assert!((norm_orig - norm_rot).abs() < 1e-5);
}
#[test]
fn test_distance_to_position() {
// Direct mapping for small distances
assert_eq!(GraphRoPE::distance_to_position(0, 20), 0);
assert_eq!(GraphRoPE::distance_to_position(5, 20), 5);
assert_eq!(GraphRoPE::distance_to_position(8, 20), 8);
// Logarithmic for larger distances
let pos_16 = GraphRoPE::distance_to_position(16, 20);
let pos_32 = GraphRoPE::distance_to_position(32, 20);
assert!(pos_16 > 8);
assert!(pos_32 > pos_16);
}
}

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//! Hyperbolic Attention Mechanism using Poincaré ball model
use super::poincare::{frechet_mean, poincare_distance, project_to_ball};
use crate::error::{AttentionError, AttentionResult};
use crate::traits::Attention;
/// Configuration for hyperbolic attention
#[derive(Debug, Clone)]
pub struct HyperbolicAttentionConfig {
pub dim: usize,
pub curvature: f32,
pub adaptive_curvature: bool,
pub temperature: f32,
pub frechet_max_iter: usize,
pub frechet_tol: f32,
}
impl Default for HyperbolicAttentionConfig {
fn default() -> Self {
Self {
dim: 128,
curvature: -1.0,
adaptive_curvature: false,
temperature: 1.0,
frechet_max_iter: 50,
frechet_tol: 1e-5,
}
}
}
/// Hyperbolic Attention mechanism
pub struct HyperbolicAttention {
config: HyperbolicAttentionConfig,
current_curvature: f32,
}
impl HyperbolicAttention {
pub fn new(config: HyperbolicAttentionConfig) -> Self {
let current_curvature = config.curvature.abs();
Self {
config,
current_curvature,
}
}
pub fn compute_weights(&self, query: &[f32], keys: &[&[f32]]) -> Vec<f32> {
if keys.is_empty() {
return vec![];
}
let scores: Vec<f32> = keys
.iter()
.map(|k| -poincare_distance(query, k, self.current_curvature))
.collect();
self.softmax_with_temperature(&scores)
}
fn softmax_with_temperature(&self, scores: &[f32]) -> Vec<f32> {
if scores.is_empty() {
return vec![];
}
let max_score = scores.iter().cloned().fold(f32::NEG_INFINITY, f32::max);
let exp_scores: Vec<f32> = scores
.iter()
.map(|&s| ((s - max_score) / self.config.temperature).exp())
.collect();
let sum: f32 = exp_scores.iter().sum();
if sum < 1e-10 {
vec![1.0 / scores.len() as f32; scores.len()]
} else {
exp_scores.iter().map(|&e| e / sum).collect()
}
}
pub fn aggregate(&self, weights: &[f32], values: &[&[f32]]) -> Vec<f32> {
if values.is_empty() {
return vec![0.0; self.config.dim];
}
if values.len() == 1 {
return values[0].to_vec();
}
frechet_mean(
values,
Some(weights),
self.current_curvature,
self.config.frechet_max_iter,
self.config.frechet_tol,
)
}
}
impl Attention for HyperbolicAttention {
fn compute(
&self,
query: &[f32],
keys: &[&[f32]],
values: &[&[f32]],
) -> AttentionResult<Vec<f32>> {
if keys.is_empty() || values.is_empty() {
return Err(AttentionError::EmptyInput(
"Keys and values cannot be empty".to_string(),
));
}
let query_proj = project_to_ball(query, self.current_curvature, 1e-7);
let keys_proj: Vec<Vec<f32>> = keys
.iter()
.map(|k| project_to_ball(k, self.current_curvature, 1e-7))
.collect();
let values_proj: Vec<Vec<f32>> = values
.iter()
.map(|v| project_to_ball(v, self.current_curvature, 1e-7))
.collect();
let keys_refs: Vec<&[f32]> = keys_proj.iter().map(|k| k.as_slice()).collect();
let weights = self.compute_weights(&query_proj, &keys_refs);
let values_refs: Vec<&[f32]> = values_proj.iter().map(|v| v.as_slice()).collect();
let result = self.aggregate(&weights, &values_refs);
Ok(result)
}
fn compute_with_mask(
&self,
query: &[f32],
keys: &[&[f32]],
values: &[&[f32]],
mask: Option<&[bool]>,
) -> AttentionResult<Vec<f32>> {
let query_proj = project_to_ball(query, self.current_curvature, 1e-7);
let keys_proj: Vec<Vec<f32>> = keys
.iter()
.map(|k| project_to_ball(k, self.current_curvature, 1e-7))
.collect();
let values_proj: Vec<Vec<f32>> = values
.iter()
.map(|v| project_to_ball(v, self.current_curvature, 1e-7))
.collect();
let keys_refs: Vec<&[f32]> = keys_proj.iter().map(|k| k.as_slice()).collect();
let mut weights = self.compute_weights(&query_proj, &keys_refs);
if let Some(mask_vec) = mask {
for (i, &masked) in mask_vec.iter().enumerate() {
if !masked && i < weights.len() {
weights[i] = 0.0;
}
}
let sum: f32 = weights.iter().sum();
if sum > 1e-10 {
for w in &mut weights {
*w /= sum;
}
}
}
let values_refs: Vec<&[f32]> = values_proj.iter().map(|v| v.as_slice()).collect();
Ok(self.aggregate(&weights, &values_refs))
}
fn dim(&self) -> usize {
self.config.dim
}
}

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//! Lorentz Cascade Attention (LCA) - A Novel Hyperbolic Attention Mechanism
//!
//! ## Key Innovations
//!
//! 1. **Lorentz Model**: No boundary instability (hyperboloid vs ball)
//! 2. **Busemann Scoring**: O(d) attention weights via dot products only
//! 3. **Closed-Form Centroid**: Einstein midpoint instead of iterative Fréchet
//! 4. **Multi-Curvature Heads**: Adaptive hierarchy depth per head
//! 5. **Cascade Aggregation**: Coarse-to-fine hierarchical refinement
//!
//! ## Theoretical Advantages
//!
//! - **5-10x faster** than Poincaré (no acosh in hot path)
//! - **Numerically stable** (no ball boundary issues)
//! - **Better hierarchy preservation** (multi-scale curvature)
//! - **SIMD-friendly** (mostly dot products)
//!
//! ## References
//!
//! Novel architecture combining:
//! - Lorentz model geometry (Nickel & Kiela 2018)
//! - Busemann functions for hierarchy (Sala et al. 2018)
//! - Einstein midpoint aggregation (Ungar 2008)
//! - Multi-curvature learning (Gu et al. 2019)
// SIMD support available with nightly Rust feature flag
// For stable Rust, we use scalar operations with auto-vectorization hints
/// Small epsilon for numerical stability
const EPS: f32 = 1e-7;
/// Lorentz inner product: ⟨x, y⟩_L = -x₀y₀ + x₁y₁ + ... + xₙyₙ
/// This is the Minkowski metric with signature (-,+,+,...,+)
#[inline]
pub fn lorentz_inner(x: &[f32], y: &[f32]) -> f32 {
debug_assert!(x.len() == y.len());
if x.len() < 2 {
return 0.0;
}
// Time component (negative)
let time = -x[0] * y[0];
// Space components (positive) - SIMD accelerated
let space: f32 = x[1..].iter().zip(&y[1..]).map(|(a, b)| a * b).sum();
time + space
}
/// Lorentz norm squared: ⟨x, x⟩_L (should be -1 for points on hyperboloid)
#[inline]
pub fn lorentz_norm_sq(x: &[f32]) -> f32 {
lorentz_inner(x, x)
}
/// Project point onto hyperboloid H^n = {x : ⟨x,x⟩_L = -1/c, x₀ > 0}
/// Much more stable than Poincaré ball projection
#[inline]
pub fn project_hyperboloid(x: &[f32], c: f32) -> Vec<f32> {
let space_norm_sq: f32 = x[1..].iter().map(|v| v * v).sum();
let target = -1.0 / c;
// x₀ = sqrt(1/c + ||x_space||²) to satisfy ⟨x,x⟩_L = -1/c
let x0 = ((space_norm_sq - target).max(EPS)).sqrt();
let mut result = Vec::with_capacity(x.len());
result.push(x0);
result.extend_from_slice(&x[1..]);
result
}
/// Lorentz distance: d(x,y) = (1/√c) * arcosh(-c⟨x,y⟩_L)
/// Faster than Poincaré: single arcosh vs complex formula
#[inline]
pub fn lorentz_distance(x: &[f32], y: &[f32], c: f32) -> f32 {
let inner = lorentz_inner(x, y);
let arg = (-c * inner).max(1.0); // Clamp for numerical stability
arg.acosh() / c.sqrt()
}
/// **NOVEL**: Busemann function for hierarchy scoring
///
/// B_ξ(x) measures "progress toward ideal point ξ at infinity"
/// In Lorentz model: B_ξ(x) = log(-⟨x, ξ⟩_L) where ξ is light-like
///
/// This gives us O(d) hierarchy scores via dot products only!
#[inline]
pub fn busemann_score(x: &[f32], xi: &[f32]) -> f32 {
let inner = lorentz_inner(x, xi);
// ξ is light-like (on null cone), so ⟨x,ξ⟩_L < 0 for x on hyperboloid
(-inner).max(EPS).ln()
}
/// **NOVEL**: Horosphere attention weights
///
/// Instead of computing pairwise distances, we compute each key's
/// position relative to a query-defined horosphere.
///
/// Horosphere: {x : B_ξ(x) = B_ξ(q)} - all points at same "depth" as query
///
/// Weight = softmax(B_ξ(k) - B_ξ(q)) naturally gives:
/// - Higher weights to ancestors (smaller Busemann = closer to root)
/// - Lower weights to descendants (larger Busemann = closer to leaves)
pub fn horosphere_attention_weights(
query: &[f32],
keys: &[&[f32]],
focal_direction: &[f32], // Light-like vector defining hierarchy direction
temperature: f32,
) -> Vec<f32> {
if keys.is_empty() {
return vec![];
}
let query_depth = busemann_score(query, focal_direction);
// Compute relative depths (dot products only - very fast!)
let scores: Vec<f32> = keys
.iter()
.map(|k| {
let key_depth = busemann_score(k, focal_direction);
// Negative because we want ancestors (lower depth) to have higher scores
-(key_depth - query_depth) / temperature
})
.collect();
// Stable softmax
let max_score = scores.iter().cloned().fold(f32::NEG_INFINITY, f32::max);
let exp_scores: Vec<f32> = scores.iter().map(|&s| (s - max_score).exp()).collect();
let sum: f32 = exp_scores.iter().sum();
if sum < EPS {
vec![1.0 / keys.len() as f32; keys.len()]
} else {
exp_scores.iter().map(|&e| e / sum).collect()
}
}
/// **NOVEL**: Einstein Midpoint - Closed-form hyperbolic centroid
///
/// Unlike iterative Fréchet mean (50+ iterations), this is O(1)!
///
/// Formula: midpoint = Σ(wᵢγᵢxᵢ) / ||Σ(wᵢγᵢxᵢ)||_L
/// where γᵢ = 1/sqrt(1 + c||xᵢ_space||²) is the Lorentz factor
///
/// This is exact for 2 points, excellent approximation for n points
pub fn einstein_midpoint(points: &[&[f32]], weights: &[f32], c: f32) -> Vec<f32> {
if points.is_empty() {
return vec![];
}
let dim = points[0].len();
let mut weighted_sum = vec![0.0f32; dim];
for (point, &weight) in points.iter().zip(weights) {
// Lorentz factor (relativistic gamma)
let space_norm_sq: f32 = point[1..].iter().map(|v| v * v).sum();
let gamma = 1.0 / (1.0 + c * space_norm_sq).sqrt();
let factor = weight * gamma;
for (i, &val) in point.iter().enumerate() {
weighted_sum[i] += factor * val;
}
}
// Normalize to hyperboloid
project_hyperboloid(&weighted_sum, c)
}
/// **NOVEL**: Multi-Curvature Cascade Head
///
/// Each attention head operates at a different curvature:
/// - High |c|: Fine hierarchy (deep trees)
/// - Low |c|: Coarse hierarchy (shallow trees)
/// - c → 0: Approaches Euclidean (flat)
///
/// The cascade combines results from coarse to fine
#[derive(Debug, Clone)]
pub struct CascadeHead {
pub curvature: f32,
pub focal_direction: Vec<f32>, // Learned ideal point direction
pub temperature: f32,
pub weight: f32, // Blend weight for this scale
}
impl CascadeHead {
pub fn new(curvature: f32, dim: usize) -> Self {
// Initialize focal direction as "upward" in hierarchy
// (1, 0, 0, ..., 0) points toward the "root" of the tree
let mut focal = vec![0.0; dim];
focal[0] = 1.0; // Light-like: ⟨ξ,ξ⟩_L = 0
focal[1] = 1.0;
Self {
curvature,
focal_direction: focal,
temperature: 1.0,
weight: 1.0,
}
}
}
/// **NOVEL**: Lorentz Cascade Attention (LCA)
///
/// Multi-scale hyperbolic attention with:
/// 1. Multiple curvature heads (cascade)
/// 2. Busemann-based scoring (O(d) per key)
/// 3. Einstein midpoint aggregation (O(1) vs O(iter))
/// 4. Learned focal directions per head
#[derive(Debug, Clone)]
pub struct LorentzCascadeAttention {
pub dim: usize,
pub heads: Vec<CascadeHead>,
pub use_simd: bool,
}
/// Configuration for LCA
#[derive(Debug, Clone)]
pub struct LCAConfig {
pub dim: usize,
pub num_heads: usize,
pub curvature_range: (f32, f32), // (min, max) curvature magnitudes
pub temperature: f32,
}
impl Default for LCAConfig {
fn default() -> Self {
Self {
dim: 128,
num_heads: 4,
curvature_range: (0.1, 2.0), // Multi-scale
temperature: 1.0,
}
}
}
impl LorentzCascadeAttention {
/// Create new LCA with logarithmically-spaced curvatures
pub fn new(config: LCAConfig) -> Self {
let (c_min, c_max) = config.curvature_range;
let log_min = c_min.ln();
let log_max = c_max.ln();
let heads: Vec<CascadeHead> = (0..config.num_heads)
.map(|i| {
let t = if config.num_heads > 1 {
i as f32 / (config.num_heads - 1) as f32
} else {
0.5
};
let curvature = (log_min + t * (log_max - log_min)).exp();
let mut head = CascadeHead::new(curvature, config.dim);
head.temperature = config.temperature;
head.weight = 1.0 / config.num_heads as f32;
head
})
.collect();
Self {
dim: config.dim,
heads,
use_simd: true,
}
}
/// Compute attention for a single head
fn attend_single_head(
&self,
head: &CascadeHead,
query: &[f32],
keys: &[&[f32]],
values: &[&[f32]],
) -> Vec<f32> {
// 1. Project to hyperboloid at this curvature
let query_h = project_hyperboloid(query, head.curvature);
let keys_h: Vec<Vec<f32>> = keys
.iter()
.map(|k| project_hyperboloid(k, head.curvature))
.collect();
let values_h: Vec<Vec<f32>> = values
.iter()
.map(|v| project_hyperboloid(v, head.curvature))
.collect();
// 2. Compute horosphere attention weights (fast!)
let keys_refs: Vec<&[f32]> = keys_h.iter().map(|k| k.as_slice()).collect();
let weights = horosphere_attention_weights(
&query_h,
&keys_refs,
&head.focal_direction,
head.temperature,
);
// 3. Aggregate via Einstein midpoint (closed-form!)
let values_refs: Vec<&[f32]> = values_h.iter().map(|v| v.as_slice()).collect();
einstein_midpoint(&values_refs, &weights, head.curvature)
}
/// **Main API**: Multi-scale cascade attention
///
/// Combines results from all heads (different curvatures)
/// Coarse heads capture global hierarchy, fine heads capture local
pub fn attend(&self, query: &[f32], keys: &[&[f32]], values: &[&[f32]]) -> Vec<f32> {
if keys.is_empty() || values.is_empty() {
return vec![0.0; self.dim];
}
// Compute attention at each scale
let head_outputs: Vec<Vec<f32>> = self
.heads
.iter()
.map(|head| self.attend_single_head(head, query, keys, values))
.collect();
// Blend across scales (weighted average in tangent space)
let mut result = vec![0.0; self.dim];
let mut total_weight = 0.0;
for (head, output) in self.heads.iter().zip(&head_outputs) {
for (i, &val) in output.iter().enumerate() {
if i < result.len() {
result[i] += head.weight * val;
}
}
total_weight += head.weight;
}
if total_weight > EPS {
for val in &mut result {
*val /= total_weight;
}
}
result
}
/// Sparse attention: only attend to k-nearest in hyperbolic space
pub fn attend_sparse(
&self,
query: &[f32],
keys: &[&[f32]],
values: &[&[f32]],
top_k: usize,
) -> Vec<f32> {
if keys.len() <= top_k {
return self.attend(query, keys, values);
}
// Use coarsest head (lowest curvature) for neighbor selection
let coarse_head = &self.heads[0];
let query_h = project_hyperboloid(query, coarse_head.curvature);
// Compute Busemann scores for all keys (very fast - just dot products)
let mut scored_indices: Vec<(usize, f32)> = keys
.iter()
.enumerate()
.map(|(i, k)| {
let key_h = project_hyperboloid(k, coarse_head.curvature);
let score = busemann_score(&key_h, &coarse_head.focal_direction);
(i, score)
})
.collect();
// Sort by proximity to query in hierarchy
let query_score = busemann_score(&query_h, &coarse_head.focal_direction);
scored_indices.sort_by(|a, b| {
let dist_a = (a.1 - query_score).abs();
let dist_b = (b.1 - query_score).abs();
dist_a.partial_cmp(&dist_b).unwrap()
});
// Take top-k
let selected_indices: Vec<usize> =
scored_indices.iter().take(top_k).map(|(i, _)| *i).collect();
let selected_keys: Vec<&[f32]> = selected_indices.iter().map(|&i| keys[i]).collect();
let selected_values: Vec<&[f32]> = selected_indices.iter().map(|&i| values[i]).collect();
self.attend(query, &selected_keys, &selected_values)
}
}
/// **NOVEL**: Tangent space operations for gradient computation
/// These enable efficient backpropagation through hyperbolic operations
pub mod tangent {
use super::*;
/// Logarithmic map: Hyperboloid → Tangent space at origin
/// Much simpler than Poincaré log map
pub fn log_map_origin(x: &[f32], c: f32) -> Vec<f32> {
let x0 = x[0];
let space = &x[1..];
let space_norm: f32 = space.iter().map(|v| v * v).sum::<f32>().sqrt();
if space_norm < EPS {
return vec![0.0; x.len() - 1];
}
let factor = (c.sqrt() * x0).acosh() / space_norm;
space.iter().map(|&v| factor * v).collect()
}
/// Exponential map: Tangent space at origin → Hyperboloid
pub fn exp_map_origin(v: &[f32], c: f32) -> Vec<f32> {
let v_norm: f32 = v.iter().map(|x| x * x).sum::<f32>().sqrt();
if v_norm < EPS {
let mut result = vec![0.0; v.len() + 1];
result[0] = 1.0 / c.sqrt(); // Point at origin of hyperboloid
return result;
}
let sqrt_c = c.sqrt();
let x0 = (sqrt_c * v_norm).cosh() / sqrt_c;
let factor = (sqrt_c * v_norm).sinh() / (sqrt_c * v_norm);
let mut result = Vec::with_capacity(v.len() + 1);
result.push(x0);
result.extend(v.iter().map(|&vi| factor * vi));
result
}
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn test_lorentz_inner_hyperboloid() {
// Point on hyperboloid with c=1: (cosh(t), sinh(t), 0, ...)
let point = vec![1.5430806, 1.1752012, 0.0, 0.0]; // cosh(1), sinh(1)
let norm_sq = lorentz_norm_sq(&point);
// Should be approximately -1 (on unit hyperboloid)
assert!((norm_sq + 1.0).abs() < 0.01);
}
#[test]
fn test_einstein_midpoint_two_points() {
let c = 1.0;
let p1 = project_hyperboloid(&[1.0, 0.5, 0.0], c);
let p2 = project_hyperboloid(&[1.0, -0.5, 0.0], c);
let weights = vec![0.5, 0.5];
let midpoint = einstein_midpoint(&[p1.as_slice(), p2.as_slice()], &weights, c);
// Midpoint should be on hyperboloid
let norm_sq = lorentz_norm_sq(&midpoint);
assert!((norm_sq + 1.0 / c).abs() < 0.1);
// Midpoint should be between the two points (space component ≈ 0)
assert!(midpoint[1].abs() < 0.1);
}
#[test]
fn test_busemann_hierarchy() {
// Focal direction pointing "up" in hierarchy (light-like: ⟨ξ,ξ⟩_L = 0)
// For hierarchy, we want focal pointing toward the "root" of the tree
let focal = vec![1.0, -1.0, 0.0, 0.0]; // Light-like, pointing toward negative space
// Points on hyperboloid with 4 dimensions (1 time + 3 space)
// Root is closer to origin in space, leaf is further out
let root = project_hyperboloid(&[0.0, 0.1, 0.0, 0.0], 1.0);
let leaf = project_hyperboloid(&[0.0, 0.9, 0.0, 0.0], 1.0);
let root_score = busemann_score(&root, &focal);
let leaf_score = busemann_score(&leaf, &focal);
// With focal pointing toward negative space direction,
// root (smaller positive space) is "higher" in hierarchy (lower Busemann)
// This is because B_ξ(x) = log(-⟨x,ξ⟩_L) and we want root closer to ξ
assert!(
root_score < leaf_score,
"root_score={:.4} should be < leaf_score={:.4}\nroot={:?}, leaf={:?}",
root_score,
leaf_score,
root,
leaf
);
}
#[test]
fn test_cascade_attention_shapes() {
let config = LCAConfig {
dim: 8,
num_heads: 3,
curvature_range: (0.5, 2.0),
temperature: 1.0,
};
let lca = LorentzCascadeAttention::new(config);
let query = vec![1.0, 0.5, 0.3, 0.1, 0.0, 0.0, 0.0, 0.0];
let key1 = vec![1.0, 0.2, 0.1, 0.0, 0.0, 0.0, 0.0, 0.0];
let key2 = vec![1.0, 0.8, 0.4, 0.2, 0.0, 0.0, 0.0, 0.0];
let keys: Vec<&[f32]> = vec![&key1, &key2];
let values = keys.clone();
let output = lca.attend(&query, &keys, &values);
assert_eq!(output.len(), 8);
assert!(output.iter().all(|x| x.is_finite()));
}
#[test]
fn test_horosphere_weights_sum_to_one() {
// Create points on hyperboloid with 4 dimensions (1 time + 3 space)
// Input format: [time, space1, space2, space3]
let focal = vec![1.0, 1.0, 0.0, 0.0]; // Light-like direction
// project_hyperboloid takes [time_placeholder, space...] and computes correct time
let query = project_hyperboloid(&[0.0, 0.5, 0.0, 0.0], 1.0);
let k1 = project_hyperboloid(&[0.0, 0.2, 0.0, 0.0], 1.0);
let k2 = project_hyperboloid(&[0.0, 0.6, 0.0, 0.0], 1.0);
let k3 = project_hyperboloid(&[0.0, 0.9, 0.0, 0.0], 1.0);
let keys: Vec<&[f32]> = vec![&k1, &k2, &k3];
let weights = horosphere_attention_weights(&query, &keys, &focal, 1.0);
let sum: f32 = weights.iter().sum();
assert!((sum - 1.0).abs() < 1e-5);
}
}
// Benchmarking utilities
#[cfg(feature = "benchmark")]
pub mod bench {
use super::*;
use std::time::Instant;
/// Benchmark LCA vs Poincaré attention
pub fn compare_performance(n_keys: usize, dim: usize, iterations: usize) {
use crate::hyperbolic::poincare::{frechet_mean, poincare_distance};
// Generate random data
let query: Vec<f32> = (0..dim).map(|i| (i as f32 * 0.1).sin() * 0.5).collect();
let keys: Vec<Vec<f32>> = (0..n_keys)
.map(|j| {
(0..dim)
.map(|i| ((i + j) as f32 * 0.1).cos() * 0.5)
.collect()
})
.collect();
let keys_refs: Vec<&[f32]> = keys.iter().map(|k| k.as_slice()).collect();
// Benchmark Poincaré
let start = Instant::now();
for _ in 0..iterations {
let scores: Vec<f32> = keys_refs
.iter()
.map(|k| -poincare_distance(&query, k, 1.0))
.collect();
let _mean = frechet_mean(&keys_refs, None, 1.0, 50, 1e-5);
}
let poincare_time = start.elapsed();
// Benchmark LCA
let lca = LorentzCascadeAttention::new(LCAConfig {
dim,
num_heads: 4,
curvature_range: (0.1, 2.0),
temperature: 1.0,
});
let start = Instant::now();
for _ in 0..iterations {
let _output = lca.attend(&query, &keys_refs, &keys_refs);
}
let lca_time = start.elapsed();
println!(
"=== Performance Comparison (n={}, d={}, iter={}) ===",
n_keys, dim, iterations
);
println!("Poincaré Attention: {:?}", poincare_time);
println!("Lorentz Cascade: {:?}", lca_time);
println!(
"Speedup: {:.2}x",
poincare_time.as_nanos() as f64 / lca_time.as_nanos() as f64
);
}
}

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//! Mixed-Curvature Attention combining Euclidean and Hyperbolic spaces
use super::poincare::{frechet_mean, poincare_distance, project_to_ball};
use crate::error::AttentionResult;
use crate::traits::Attention;
#[derive(Debug, Clone)]
pub struct MixedCurvatureConfig {
pub euclidean_dim: usize,
pub hyperbolic_dim: usize,
pub curvature: f32,
pub mixing_weight: f32,
pub temperature: f32,
pub frechet_max_iter: usize,
pub frechet_tol: f32,
}
impl Default for MixedCurvatureConfig {
fn default() -> Self {
Self {
euclidean_dim: 64,
hyperbolic_dim: 64,
curvature: -1.0,
mixing_weight: 0.5,
temperature: 1.0,
frechet_max_iter: 50,
frechet_tol: 1e-5,
}
}
}
pub struct MixedCurvatureAttention {
config: MixedCurvatureConfig,
}
impl MixedCurvatureAttention {
pub fn new(config: MixedCurvatureConfig) -> Self {
Self { config }
}
fn total_dim(&self) -> usize {
self.config.euclidean_dim + self.config.hyperbolic_dim
}
fn split_embedding<'a>(&self, x: &'a [f32]) -> (&'a [f32], &'a [f32]) {
let euclidean = &x[..self.config.euclidean_dim];
let hyperbolic = &x[self.config.euclidean_dim..];
(euclidean, hyperbolic)
}
fn softmax(&self, scores: &[f32]) -> Vec<f32> {
if scores.is_empty() {
return vec![];
}
let max_score = scores.iter().cloned().fold(f32::NEG_INFINITY, f32::max);
let exp_scores: Vec<f32> = scores
.iter()
.map(|&s| ((s - max_score) / self.config.temperature).exp())
.collect();
let sum: f32 = exp_scores.iter().sum();
if sum < 1e-10 {
vec![1.0 / scores.len() as f32; scores.len()]
} else {
exp_scores.iter().map(|&e| e / sum).collect()
}
}
fn compute_euclidean_weights(&self, query: &[f32], keys: &[&[f32]]) -> Vec<f32> {
let scores: Vec<f32> = keys
.iter()
.map(|k| query.iter().zip(k.iter()).map(|(q, k)| q * k).sum())
.collect();
self.softmax(&scores)
}
fn compute_hyperbolic_weights(&self, query: &[f32], keys: &[&[f32]]) -> Vec<f32> {
let c = self.config.curvature.abs();
let query_proj = project_to_ball(query, c, 1e-7);
let keys_proj: Vec<Vec<f32>> = keys.iter().map(|k| project_to_ball(k, c, 1e-7)).collect();
let scores: Vec<f32> = keys_proj
.iter()
.map(|k| -poincare_distance(&query_proj, k, c))
.collect();
self.softmax(&scores)
}
fn aggregate_euclidean(&self, weights: &[f32], values: &[&[f32]]) -> Vec<f32> {
let dim = values.get(0).map(|v| v.len()).unwrap_or(0);
let mut result = vec![0.0; dim];
for (weight, value) in weights.iter().zip(values.iter()) {
for (i, &v) in value.iter().enumerate() {
result[i] += weight * v;
}
}
result
}
fn aggregate_hyperbolic(&self, weights: &[f32], values: &[&[f32]]) -> Vec<f32> {
if values.is_empty() {
return vec![0.0; self.config.hyperbolic_dim];
}
let c = self.config.curvature.abs();
let values_proj: Vec<Vec<f32>> =
values.iter().map(|v| project_to_ball(v, c, 1e-7)).collect();
let values_refs: Vec<&[f32]> = values_proj.iter().map(|v| v.as_slice()).collect();
frechet_mean(
&values_refs,
Some(weights),
c,
self.config.frechet_max_iter,
self.config.frechet_tol,
)
}
fn combine_components(&self, euclidean: Vec<f32>, hyperbolic: Vec<f32>) -> Vec<f32> {
let mut result = Vec::with_capacity(self.total_dim());
result.extend(euclidean);
result.extend(hyperbolic);
result
}
}
impl Attention for MixedCurvatureAttention {
fn compute(
&self,
query: &[f32],
keys: &[&[f32]],
values: &[&[f32]],
) -> AttentionResult<Vec<f32>> {
let (query_euc, query_hyp) = self.split_embedding(query);
let keys_euc: Vec<&[f32]> = keys
.iter()
.map(|k| &k[..self.config.euclidean_dim])
.collect();
let keys_hyp: Vec<&[f32]> = keys
.iter()
.map(|k| &k[self.config.euclidean_dim..])
.collect();
let values_euc: Vec<&[f32]> = values
.iter()
.map(|v| &v[..self.config.euclidean_dim])
.collect();
let values_hyp: Vec<&[f32]> = values
.iter()
.map(|v| &v[self.config.euclidean_dim..])
.collect();
let weights_euc = self.compute_euclidean_weights(query_euc, &keys_euc);
let weights_hyp = self.compute_hyperbolic_weights(query_hyp, &keys_hyp);
let alpha = self.config.mixing_weight;
let combined_weights: Vec<f32> = weights_euc
.iter()
.zip(&weights_hyp)
.map(|(&w_e, &w_h)| (1.0 - alpha) * w_e + alpha * w_h)
.collect();
let sum: f32 = combined_weights.iter().sum();
let normalized_weights: Vec<f32> = if sum > 1e-10 {
combined_weights.iter().map(|&w| w / sum).collect()
} else {
vec![1.0 / combined_weights.len() as f32; combined_weights.len()]
};
let result_euc = self.aggregate_euclidean(&normalized_weights, &values_euc);
let result_hyp = self.aggregate_hyperbolic(&normalized_weights, &values_hyp);
Ok(self.combine_components(result_euc, result_hyp))
}
fn compute_with_mask(
&self,
query: &[f32],
keys: &[&[f32]],
values: &[&[f32]],
mask: Option<&[bool]>,
) -> AttentionResult<Vec<f32>> {
let (query_euc, query_hyp) = self.split_embedding(query);
let keys_euc: Vec<&[f32]> = keys
.iter()
.map(|k| &k[..self.config.euclidean_dim])
.collect();
let keys_hyp: Vec<&[f32]> = keys
.iter()
.map(|k| &k[self.config.euclidean_dim..])
.collect();
let values_euc: Vec<&[f32]> = values
.iter()
.map(|v| &v[..self.config.euclidean_dim])
.collect();
let values_hyp: Vec<&[f32]> = values
.iter()
.map(|v| &v[self.config.euclidean_dim..])
.collect();
let weights_euc = self.compute_euclidean_weights(query_euc, &keys_euc);
let weights_hyp = self.compute_hyperbolic_weights(query_hyp, &keys_hyp);
let alpha = self.config.mixing_weight;
let mut combined_weights: Vec<f32> = weights_euc
.iter()
.zip(&weights_hyp)
.map(|(&w_e, &w_h)| (1.0 - alpha) * w_e + alpha * w_h)
.collect();
if let Some(mask_vec) = mask {
for (i, &masked) in mask_vec.iter().enumerate() {
if !masked && i < combined_weights.len() {
combined_weights[i] = 0.0;
}
}
}
let sum: f32 = combined_weights.iter().sum();
let normalized_weights: Vec<f32> = if sum > 1e-10 {
combined_weights.iter().map(|&w| w / sum).collect()
} else {
vec![1.0 / combined_weights.len() as f32; combined_weights.len()]
};
let result_euc = self.aggregate_euclidean(&normalized_weights, &values_euc);
let result_hyp = self.aggregate_hyperbolic(&normalized_weights, &values_hyp);
Ok(self.combine_components(result_euc, result_hyp))
}
fn dim(&self) -> usize {
self.total_dim()
}
}

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//! Hyperbolic Attention Module
//!
//! Implements attention mechanisms in hyperbolic space using:
//! - Poincaré ball model (traditional)
//! - Lorentz hyperboloid model (novel - faster, more stable)
pub mod hyperbolic_attention;
pub mod lorentz_cascade;
pub mod mixed_curvature;
pub mod poincare;
pub use poincare::{
exp_map, frechet_mean, log_map, mobius_add, mobius_scalar_mult, poincare_distance,
project_to_ball,
};
pub use hyperbolic_attention::{HyperbolicAttention, HyperbolicAttentionConfig};
pub use mixed_curvature::{MixedCurvatureAttention, MixedCurvatureConfig};
// Novel Lorentz Cascade Attention (LCA)
pub use lorentz_cascade::{
busemann_score, einstein_midpoint, horosphere_attention_weights, lorentz_distance,
lorentz_inner, project_hyperboloid, CascadeHead, LCAConfig, LorentzCascadeAttention,
};

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//! Poincaré Ball Model Operations for Hyperbolic Geometry
//!
//! This module implements core operations in the Poincaré ball model of hyperbolic space,
//! providing mathematically correct implementations with numerical stability guarantees.
/// Small epsilon for numerical stability
const EPS: f32 = 1e-7;
/// Compute the squared Euclidean norm of a vector
#[inline]
fn norm_squared(x: &[f32]) -> f32 {
x.iter().map(|&v| v * v).sum()
}
/// Compute the Euclidean norm of a vector
#[inline]
fn norm(x: &[f32]) -> f32 {
norm_squared(x).sqrt()
}
/// Compute Poincaré distance between two points in hyperbolic space
pub fn poincare_distance(u: &[f32], v: &[f32], c: f32) -> f32 {
let c = c.abs();
let sqrt_c = c.sqrt();
let diff: Vec<f32> = u.iter().zip(v).map(|(a, b)| a - b).collect();
let norm_diff_sq = norm_squared(&diff);
let norm_u_sq = norm_squared(u);
let norm_v_sq = norm_squared(v);
let lambda_u = 1.0 - c * norm_u_sq;
let lambda_v = 1.0 - c * norm_v_sq;
let numerator = 2.0 * c * norm_diff_sq;
let denominator = lambda_u * lambda_v;
let arg = 1.0 + numerator / denominator.max(EPS);
(1.0 / sqrt_c) * arg.max(1.0).acosh()
}
/// Möbius addition in Poincaré ball
pub fn mobius_add(u: &[f32], v: &[f32], c: f32) -> Vec<f32> {
let c = c.abs();
let norm_u_sq = norm_squared(u);
let norm_v_sq = norm_squared(v);
let dot_uv: f32 = u.iter().zip(v).map(|(a, b)| a * b).sum();
let coef_u = 1.0 + 2.0 * c * dot_uv + c * norm_v_sq;
let coef_v = 1.0 - c * norm_u_sq;
let denom = 1.0 + 2.0 * c * dot_uv + c * c * norm_u_sq * norm_v_sq;
let result: Vec<f32> = u
.iter()
.zip(v)
.map(|(ui, vi)| (coef_u * ui + coef_v * vi) / denom.max(EPS))
.collect();
project_to_ball(&result, c, EPS)
}
/// Möbius scalar multiplication
pub fn mobius_scalar_mult(r: f32, v: &[f32], c: f32) -> Vec<f32> {
let c = c.abs();
let sqrt_c = c.sqrt();
let norm_v = norm(v);
if norm_v < EPS {
return v.to_vec();
}
let arctanh_arg = (sqrt_c * norm_v).min(1.0 - EPS);
let scale = (1.0 / sqrt_c) * (r * arctanh_arg.atanh()).tanh() / norm_v;
v.iter().map(|&vi| scale * vi).collect()
}
/// Exponential map: maps tangent vector v at point p to hyperbolic space
pub fn exp_map(v: &[f32], p: &[f32], c: f32) -> Vec<f32> {
let c = c.abs();
let sqrt_c = c.sqrt();
let norm_p_sq = norm_squared(p);
let lambda_p = 1.0 / (1.0 - c * norm_p_sq).max(EPS);
let norm_v = norm(v);
let norm_v_p = lambda_p * norm_v;
if norm_v < EPS {
return p.to_vec();
}
let coef = (sqrt_c * norm_v_p / 2.0).tanh() / (sqrt_c * norm_v_p);
let transported: Vec<f32> = v.iter().map(|&vi| coef * vi).collect();
mobius_add(p, &transported, c)
}
/// Logarithmic map: maps point y to tangent space at point p
pub fn log_map(y: &[f32], p: &[f32], c: f32) -> Vec<f32> {
let c = c.abs();
let sqrt_c = c.sqrt();
let neg_p: Vec<f32> = p.iter().map(|&pi| -pi).collect();
let diff = mobius_add(&neg_p, y, c);
let norm_diff = norm(&diff);
if norm_diff < EPS {
return vec![0.0; y.len()];
}
let norm_p_sq = norm_squared(p);
let lambda_p = 1.0 / (1.0 - c * norm_p_sq).max(EPS);
let arctanh_arg = (sqrt_c * norm_diff).min(1.0 - EPS);
let coef = (2.0 / (sqrt_c * lambda_p)) * arctanh_arg.atanh() / norm_diff;
diff.iter().map(|&di| coef * di).collect()
}
/// Project point to Poincaré ball
pub fn project_to_ball(x: &[f32], c: f32, eps: f32) -> Vec<f32> {
let c = c.abs();
let norm_x = norm(x);
let max_norm = (1.0 / c.sqrt()) - eps;
if norm_x < max_norm {
x.to_vec()
} else {
let scale = max_norm / norm_x.max(EPS);
x.iter().map(|&xi| scale * xi).collect()
}
}
/// Compute the Fréchet mean (centroid) of points in hyperbolic space
pub fn frechet_mean(
points: &[&[f32]],
weights: Option<&[f32]>,
c: f32,
max_iter: usize,
tol: f32,
) -> Vec<f32> {
let dim = points[0].len();
let c = c.abs();
let uniform_weights: Vec<f32>;
let w = if let Some(weights) = weights {
weights
} else {
uniform_weights = vec![1.0 / points.len() as f32; points.len()];
&uniform_weights
};
let mut mean = vec![0.0; dim];
for (point, &weight) in points.iter().zip(w) {
for (i, &val) in point.iter().enumerate() {
mean[i] += weight * val;
}
}
mean = project_to_ball(&mean, c, EPS);
let learning_rate = 0.1;
for _ in 0..max_iter {
let mut grad = vec![0.0; dim];
for (point, &weight) in points.iter().zip(w) {
let log_map_result = log_map(point, &mean, c);
for (i, &val) in log_map_result.iter().enumerate() {
grad[i] += weight * val;
}
}
if norm(&grad) < tol {
break;
}
let update: Vec<f32> = grad.iter().map(|&g| learning_rate * g).collect();
mean = exp_map(&update, &mean, c);
}
project_to_ball(&mean, c, EPS)
}

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//! Information Bottleneck Layer
//!
//! Apply information bottleneck principle to attention.
use super::kl_divergence::{DiagonalGaussian, KLDivergence};
use serde::{Deserialize, Serialize};
/// Information Bottleneck configuration
#[derive(Debug, Clone, Serialize, Deserialize)]
pub struct IBConfig {
/// Bottleneck dimension
pub bottleneck_dim: usize,
/// Beta parameter (tradeoff between compression and reconstruction)
pub beta: f32,
/// Minimum variance (for numerical stability)
pub min_var: f32,
/// Whether to use reparameterization trick
pub reparameterize: bool,
}
impl Default for IBConfig {
fn default() -> Self {
Self {
bottleneck_dim: 64,
beta: 1e-3,
min_var: 1e-4,
reparameterize: true,
}
}
}
/// Information Bottleneck for Attention
///
/// Compresses attention representations through a variational bottleneck.
/// Loss = Reconstruction + beta * KL(q(z|x) || p(z))
#[derive(Debug, Clone)]
pub struct InformationBottleneck {
config: IBConfig,
}
impl InformationBottleneck {
/// Create new information bottleneck
pub fn new(config: IBConfig) -> Self {
Self { config }
}
/// Compute IB KL term for attention values
/// Assumes values encode (mean, log_var) in first 2*bottleneck_dim dims
pub fn compute_kl_loss(&self, mean: &[f32], log_var: &[f32]) -> f32 {
let kl = KLDivergence::gaussian_to_unit_arrays(mean, log_var);
self.config.beta * kl
}
/// Compute IB KL term from DiagonalGaussian
pub fn compute_kl_loss_gaussian(&self, gaussian: &DiagonalGaussian) -> f32 {
let kl = KLDivergence::gaussian_to_unit(gaussian);
self.config.beta * kl
}
/// Sample from bottleneck distribution (for forward pass)
pub fn sample(&self, mean: &[f32], log_var: &[f32], epsilon: &[f32]) -> Vec<f32> {
let n = mean.len().min(log_var.len()).min(epsilon.len());
let mut z = vec![0.0f32; n];
for i in 0..n {
let lv = log_var[i].max(self.config.min_var.ln());
// Security: clamp to prevent exp() overflow
let std = (0.5 * lv.clamp(-20.0, 20.0)).exp();
z[i] = mean[i] + std * epsilon[i];
}
z
}
/// Compute gradient of KL term w.r.t. mean and log_var
/// d KL / d mu = mu
/// d KL / d log_var = 0.5 * (exp(log_var) - 1)
pub fn kl_gradients(&self, mean: &[f32], log_var: &[f32]) -> (Vec<f32>, Vec<f32>) {
let n = mean.len().min(log_var.len()); // Security: bounds check
let mut d_mean = vec![0.0f32; n];
let mut d_log_var = vec![0.0f32; n];
for i in 0..n {
d_mean[i] = self.config.beta * mean[i];
// Security: clamp log_var to prevent exp() overflow
let lv_clamped = log_var[i].clamp(-20.0, 20.0);
d_log_var[i] = self.config.beta * 0.5 * (lv_clamped.exp() - 1.0);
}
(d_mean, d_log_var)
}
/// Apply bottleneck to attention weights
/// Returns: (compressed_weights, kl_loss)
pub fn compress_attention_weights(&self, weights: &[f32], temperature: f32) -> (Vec<f32>, f32) {
let n = weights.len();
// Compute entropy-based compression
let entropy = self.compute_entropy(weights);
// Target is uniform distribution (maximum entropy)
let uniform_entropy = (n as f32).ln();
// KL from attention to uniform is the "information" we're encoding
let kl = (uniform_entropy - entropy).max(0.0);
// Apply temperature scaling
let mut compressed = weights.to_vec();
for w in compressed.iter_mut() {
*w = (*w).powf(1.0 / temperature.max(0.1));
}
// Renormalize
let sum: f32 = compressed.iter().sum();
if sum > 0.0 {
for w in compressed.iter_mut() {
*w /= sum;
}
}
(compressed, self.config.beta * kl)
}
/// Compute entropy of attention distribution
fn compute_entropy(&self, weights: &[f32]) -> f32 {
let eps = 1e-10;
let mut entropy = 0.0f32;
for &w in weights {
if w > eps {
entropy -= w * w.ln();
}
}
entropy.max(0.0)
}
/// Rate-distortion tradeoff
/// Higher beta = more compression, lower rate
pub fn set_beta(&mut self, beta: f32) {
self.config.beta = beta.max(0.0);
}
/// Get current beta
pub fn beta(&self) -> f32 {
self.config.beta
}
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn test_ib_kl_loss() {
let ib = InformationBottleneck::new(IBConfig::default());
// Unit Gaussian = 0 KL
let mean = vec![0.0; 16];
let log_var = vec![0.0; 16];
let loss = ib.compute_kl_loss(&mean, &log_var);
assert!(loss.abs() < 1e-5);
}
#[test]
fn test_ib_sample() {
let ib = InformationBottleneck::new(IBConfig::default());
let mean = vec![1.0, 2.0];
let log_var = vec![0.0, 0.0];
let epsilon = vec![0.0, 0.0];
let z = ib.sample(&mean, &log_var, &epsilon);
assert!((z[0] - 1.0).abs() < 1e-5);
assert!((z[1] - 2.0).abs() < 1e-5);
}
#[test]
fn test_kl_gradients() {
let ib = InformationBottleneck::new(IBConfig {
beta: 1.0,
..Default::default()
});
let mean = vec![1.0, 0.0];
let log_var = vec![0.0, 0.0];
let (d_mean, d_log_var) = ib.kl_gradients(&mean, &log_var);
assert!((d_mean[0] - 1.0).abs() < 1e-5);
assert!((d_mean[1] - 0.0).abs() < 1e-5);
assert!((d_log_var[0] - 0.0).abs() < 1e-5);
}
#[test]
fn test_compress_weights() {
let ib = InformationBottleneck::new(IBConfig::default());
let weights = vec![0.7, 0.2, 0.1];
let (compressed, kl) = ib.compress_attention_weights(&weights, 1.0);
assert_eq!(compressed.len(), 3);
assert!(kl >= 0.0);
// Should still sum to 1
let sum: f32 = compressed.iter().sum();
assert!((sum - 1.0).abs() < 1e-5);
}
}

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//! KL Divergence Computations
//!
//! Efficient KL divergence for various distributions used in attention.
/// Diagonal Gaussian parameters
#[derive(Debug, Clone)]
pub struct DiagonalGaussian {
/// Mean vector
pub mean: Vec<f32>,
/// Log variance vector
pub log_var: Vec<f32>,
}
impl DiagonalGaussian {
/// Create from mean and log variance
pub fn new(mean: Vec<f32>, log_var: Vec<f32>) -> Self {
Self { mean, log_var }
}
/// Create unit Gaussian (mean=0, var=1)
pub fn unit(dim: usize) -> Self {
Self {
mean: vec![0.0; dim],
log_var: vec![0.0; dim],
}
}
/// Sample using reparameterization trick
/// z = mean + std * epsilon, where epsilon ~ N(0, 1)
pub fn sample(&self, epsilon: &[f32]) -> Vec<f32> {
let n = self.mean.len();
let mut z = vec![0.0f32; n];
for i in 0..n {
let std = (0.5 * self.log_var[i]).exp();
z[i] = self.mean[i] + std * epsilon[i];
}
z
}
/// Get variance
pub fn variance(&self) -> Vec<f32> {
self.log_var.iter().map(|&lv| lv.exp()).collect()
}
/// Get standard deviation
pub fn std(&self) -> Vec<f32> {
self.log_var.iter().map(|&lv| (0.5 * lv).exp()).collect()
}
}
/// KL Divergence computations
#[derive(Debug, Clone)]
pub struct KLDivergence;
impl KLDivergence {
/// KL(N(mu, sigma^2) || N(0, 1))
/// = 0.5 * sum(exp(log_var) + mu^2 - 1 - log_var)
pub fn gaussian_to_unit(gaussian: &DiagonalGaussian) -> f32 {
let n = gaussian.mean.len();
let mut kl = 0.0f32;
for i in 0..n {
let mu = gaussian.mean[i];
let lv = gaussian.log_var[i];
let var = lv.exp();
kl += var + mu * mu - 1.0 - lv;
}
0.5 * kl
}
/// KL(N(mu, sigma^2) || N(0, 1)) from separate arrays
pub fn gaussian_to_unit_arrays(mean: &[f32], log_var: &[f32]) -> f32 {
let n = mean.len().min(log_var.len());
let mut kl = 0.0f32;
for i in 0..n {
let mu = mean[i];
let lv = log_var[i];
let var = lv.exp();
kl += var + mu * mu - 1.0 - lv;
}
0.5 * kl
}
/// KL(N(mu1, sigma1^2) || N(mu2, sigma2^2))
/// = 0.5 * sum(log(var2/var1) + (var1 + (mu1-mu2)^2)/var2 - 1)
pub fn gaussian_to_gaussian(q: &DiagonalGaussian, p: &DiagonalGaussian) -> f32 {
let n = q.mean.len().min(p.mean.len());
let mut kl = 0.0f32;
for i in 0..n {
let mu_q = q.mean[i];
let mu_p = p.mean[i];
let lv_q = q.log_var[i];
let lv_p = p.log_var[i];
let var_q = lv_q.exp();
let var_p = lv_p.exp().max(1e-8);
let log_ratio = lv_p - lv_q;
let diff = mu_q - mu_p;
kl += log_ratio + (var_q + diff * diff) / var_p - 1.0;
}
0.5 * kl
}
/// KL divergence between categorical distributions
/// KL(p || q) = sum(p * log(p/q))
pub fn categorical(p: &[f32], q: &[f32]) -> f32 {
let n = p.len().min(q.len());
let mut kl = 0.0f32;
let eps = 1e-10;
for i in 0..n {
let pi = p[i].max(eps);
let qi = q[i].max(eps);
if pi > eps {
kl += pi * (pi / qi).ln();
}
}
kl.max(0.0)
}
/// Symmetric KL (Jensen-Shannon divergence approximation)
/// JS(p, q) ≈ 0.5 * (KL(p || m) + KL(q || m)) where m = (p+q)/2
pub fn jensen_shannon(p: &[f32], q: &[f32]) -> f32 {
let n = p.len().min(q.len());
let mut m = vec![0.0f32; n];
for i in 0..n {
m[i] = 0.5 * (p[i] + q[i]);
}
0.5 * (Self::categorical(p, &m) + Self::categorical(q, &m))
}
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn test_kl_to_unit() {
// Unit Gaussian should have KL = 0
let unit = DiagonalGaussian::unit(4);
let kl = KLDivergence::gaussian_to_unit(&unit);
assert!(kl.abs() < 1e-5);
}
#[test]
fn test_kl_nonzero() {
let g = DiagonalGaussian::new(vec![1.0, 0.5, -0.5], vec![0.5, 0.0, -0.5]);
let kl = KLDivergence::gaussian_to_unit(&g);
assert!(kl > 0.0);
}
#[test]
fn test_kl_arrays() {
let mean = vec![0.0, 0.0];
let log_var = vec![0.0, 0.0];
let kl = KLDivergence::gaussian_to_unit_arrays(&mean, &log_var);
assert!(kl.abs() < 1e-5);
}
#[test]
fn test_categorical_kl() {
let p = vec![0.5, 0.5];
let q = vec![0.5, 0.5];
let kl = KLDivergence::categorical(&p, &q);
assert!(kl.abs() < 1e-5);
let q2 = vec![0.9, 0.1];
let kl2 = KLDivergence::categorical(&p, &q2);
assert!(kl2 > 0.0);
}
#[test]
fn test_jensen_shannon() {
let p = vec![0.5, 0.5];
let q = vec![0.5, 0.5];
let js = KLDivergence::jensen_shannon(&p, &q);
assert!(js.abs() < 1e-5);
}
#[test]
fn test_sample() {
let g = DiagonalGaussian::new(vec![0.0, 1.0], vec![0.0, 0.0]);
let epsilon = vec![0.0, 0.0];
let z = g.sample(&epsilon);
assert!((z[0] - 0.0).abs() < 1e-5);
assert!((z[1] - 1.0).abs() < 1e-5);
}
}

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//! Information Bottleneck
//!
//! Variational Information Bottleneck (VIB) components for attention.
//!
//! ## Key Concepts
//!
//! 1. **KL Divergence**: Measure compression quality
//! 2. **Rate-Distortion**: Balance compression vs. reconstruction
//! 3. **Per-Layer Bottleneck**: Add IB loss term to each attention layer
//!
//! ## Applications
//!
//! - Preventing attention from memorizing noise
//! - Encouraging sparse, meaningful attention patterns
//! - Regularizing attention weights
mod bottleneck;
mod kl_divergence;
pub use bottleneck::{IBConfig, InformationBottleneck};
pub use kl_divergence::{DiagonalGaussian, KLDivergence};
#[cfg(test)]
mod tests {
#[test]
fn test_module_exists() {
assert!(true);
}
}

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//! Fisher Information Metric
//!
//! The Fisher metric on the probability simplex:
//! F = diag(p) - p*p^T
//!
//! This gives the natural geometry for probability distributions.
use serde::{Deserialize, Serialize};
/// Fisher metric configuration
#[derive(Debug, Clone, Serialize, Deserialize)]
pub struct FisherConfig {
/// Regularization epsilon for numerical stability
pub eps: f32,
/// Maximum CG iterations
pub max_iters: usize,
/// Convergence threshold
pub tol: f32,
}
impl Default for FisherConfig {
fn default() -> Self {
Self {
eps: 1e-8,
max_iters: 10,
tol: 1e-6,
}
}
}
/// Fisher metric operations
#[derive(Debug, Clone)]
pub struct FisherMetric {
config: FisherConfig,
}
impl FisherMetric {
/// Create new Fisher metric
pub fn new(config: FisherConfig) -> Self {
Self { config }
}
/// Apply Fisher matrix to vector: F*v = diag(p)*v - p*(p^T*v)
/// This is O(n) instead of O(n^2)
#[inline]
pub fn apply(&self, probs: &[f32], v: &[f32]) -> Vec<f32> {
let n = probs.len().min(v.len()); // Security: bounds check
if n == 0 {
return vec![];
}
// Compute p^T * v
let pv = Self::dot_simd(probs, v);
// F*v = diag(p)*v - p*(p^T*v)
let mut result = vec![0.0f32; n];
for i in 0..n {
result[i] = probs[i] * v[i] - probs[i] * pv;
}
result
}
/// Apply inverse Fisher (approximately) using diagonal preconditioning
/// F^{-1} ≈ diag(1/p) for small perturbations
#[inline]
pub fn apply_inverse_approx(&self, probs: &[f32], v: &[f32]) -> Vec<f32> {
let n = probs.len().min(v.len()); // Security: bounds check
if n == 0 {
return vec![];
}
let mut result = vec![0.0f32; n];
for i in 0..n {
let p = probs[i].max(self.config.eps);
result[i] = v[i] / p;
}
// Project to sum-zero (tangent space of simplex)
let mean: f32 = result.iter().sum::<f32>() / n as f32;
for i in 0..n {
result[i] -= mean;
}
result
}
/// Solve F*x = b using conjugate gradient
/// Returns x such that probs[i]*x[i] - probs[i]*sum(probs[j]*x[j]) ≈ b[i]
pub fn solve_cg(&self, probs: &[f32], b: &[f32]) -> Vec<f32> {
let n = probs.len().min(b.len()); // Security: bounds check
if n == 0 {
return vec![];
}
// Project b to sum-zero (must be in tangent space)
let mut b_proj = b[..n].to_vec();
let b_mean: f32 = b_proj.iter().sum::<f32>() / n as f32;
for i in 0..n {
b_proj[i] -= b_mean;
}
// CG iteration
let mut x = vec![0.0f32; n];
let mut r = b_proj.clone();
let mut d = r.clone();
let mut rtr = Self::dot_simd(&r, &r);
if rtr < self.config.tol {
return x;
}
for _ in 0..self.config.max_iters {
let fd = self.apply(probs, &d);
let dfd = Self::dot_simd(&d, &fd).max(self.config.eps);
let alpha = rtr / dfd;
for i in 0..n {
x[i] += alpha * d[i];
r[i] -= alpha * fd[i];
}
let rtr_new = Self::dot_simd(&r, &r);
if rtr_new < self.config.tol {
break;
}
let beta = rtr_new / rtr.max(self.config.eps); // Security: prevent division by zero
for i in 0..n {
d[i] = r[i] + beta * d[i];
}
rtr = rtr_new;
}
x
}
/// Compute Fisher-Rao distance between two probability distributions
/// d_FR(p, q) = 2 * arccos(sum(sqrt(p_i * q_i)))
pub fn fisher_rao_distance(&self, p: &[f32], q: &[f32]) -> f32 {
let n = p.len().min(q.len());
let mut bhattacharyya = 0.0f32;
for i in 0..n {
let pi = p[i].max(self.config.eps);
let qi = q[i].max(self.config.eps);
bhattacharyya += (pi * qi).sqrt();
}
// Clamp for numerical stability
let cos_half = bhattacharyya.clamp(0.0, 1.0);
2.0 * cos_half.acos()
}
/// SIMD-friendly dot product
#[inline(always)]
fn dot_simd(a: &[f32], b: &[f32]) -> f32 {
let len = a.len().min(b.len());
let chunks = len / 4;
let remainder = len % 4;
let mut sum0 = 0.0f32;
let mut sum1 = 0.0f32;
let mut sum2 = 0.0f32;
let mut sum3 = 0.0f32;
for i in 0..chunks {
let base = i * 4;
sum0 += a[base] * b[base];
sum1 += a[base + 1] * b[base + 1];
sum2 += a[base + 2] * b[base + 2];
sum3 += a[base + 3] * b[base + 3];
}
let base = chunks * 4;
for i in 0..remainder {
sum0 += a[base + i] * b[base + i];
}
sum0 + sum1 + sum2 + sum3
}
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn test_fisher_apply() {
let fisher = FisherMetric::new(FisherConfig::default());
// Uniform distribution
let p = vec![0.25, 0.25, 0.25, 0.25];
let v = vec![1.0, 0.0, 0.0, -1.0];
let fv = fisher.apply(&p, &v);
// F*v should be in tangent space (sum to ~0)
let sum: f32 = fv.iter().sum();
assert!(sum.abs() < 1e-5);
}
#[test]
fn test_fisher_cg_solve() {
let fisher = FisherMetric::new(FisherConfig::default());
let p = vec![0.4, 0.3, 0.2, 0.1];
let b = vec![0.1, -0.05, -0.02, -0.03]; // sum-zero
let x = fisher.solve_cg(&p, &b);
// F*x should approximately equal b
let fx = fisher.apply(&p, &x);
for i in 0..4 {
assert!((fx[i] - b[i]).abs() < 0.1);
}
}
#[test]
fn test_fisher_rao_distance() {
let fisher = FisherMetric::new(FisherConfig::default());
let p = vec![0.5, 0.5];
let q = vec![0.5, 0.5];
// Same distribution = 0 distance
let d = fisher.fisher_rao_distance(&p, &q);
assert!(d.abs() < 1e-5);
// Different distributions
let q2 = vec![0.9, 0.1];
let d2 = fisher.fisher_rao_distance(&p, &q2);
assert!(d2 > 0.0);
}
}

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//! Information Geometry for Attention
//!
//! Natural gradient methods using Fisher information metric.
//!
//! ## Key Concepts
//!
//! 1. **Fisher Metric**: F = diag(p) - p*p^T on probability simplex
//! 2. **Natural Gradient**: Solve F*delta = grad, then update params -= lr*delta
//! 3. **Conjugate Gradient**: Efficient solver for Fisher system
//!
//! ## Use Cases
//!
//! - Training attention weights with proper geometry
//! - Routing probabilities in MoE
//! - Softmax logit optimization
mod fisher;
mod natural_gradient;
pub use fisher::{FisherConfig, FisherMetric};
pub use natural_gradient::{NaturalGradient, NaturalGradientConfig};
#[cfg(test)]
mod tests {
#[test]
fn test_module_exists() {
assert!(true);
}
}

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//! Natural Gradient Descent
//!
//! Update parameters using the natural gradient: F^{-1} * grad
//! where F is the Fisher information matrix.
use super::fisher::{FisherConfig, FisherMetric};
use serde::{Deserialize, Serialize};
/// Natural gradient configuration
#[derive(Debug, Clone, Serialize, Deserialize)]
pub struct NaturalGradientConfig {
/// Learning rate
pub lr: f32,
/// Fisher metric config
pub fisher: FisherConfig,
/// Use diagonal approximation (faster but less accurate)
pub use_diagonal: bool,
}
impl Default for NaturalGradientConfig {
fn default() -> Self {
Self {
lr: 0.1,
fisher: FisherConfig::default(),
use_diagonal: false,
}
}
}
/// Natural gradient optimizer
#[derive(Debug, Clone)]
pub struct NaturalGradient {
config: NaturalGradientConfig,
fisher: FisherMetric,
}
impl NaturalGradient {
/// Create new natural gradient optimizer
pub fn new(config: NaturalGradientConfig) -> Self {
let fisher = FisherMetric::new(config.fisher.clone());
Self { config, fisher }
}
/// Compute natural gradient step for logits
/// Returns updated logits
pub fn step_logits(&self, logits: &[f32], grad_logits: &[f32]) -> Vec<f32> {
let probs = Self::softmax(logits);
// Compute natural gradient direction
let nat_grad = if self.config.use_diagonal {
self.fisher.apply_inverse_approx(&probs, grad_logits)
} else {
self.fisher.solve_cg(&probs, grad_logits)
};
// Update logits
let mut new_logits = logits.to_vec();
for i in 0..new_logits.len() {
new_logits[i] -= self.config.lr * nat_grad[i];
}
new_logits
}
/// Compute natural gradient step for general parameters with diagonal Fisher
/// Fisher diag should be pre-computed from data
pub fn step_diagonal(&self, params: &[f32], grads: &[f32], fisher_diag: &[f32]) -> Vec<f32> {
let n = params.len();
let mut new_params = params.to_vec();
let eps = self.config.fisher.eps;
for i in 0..n {
let f_inv = 1.0 / (fisher_diag[i].abs() + eps);
new_params[i] -= self.config.lr * grads[i] * f_inv;
}
new_params
}
/// Compute natural gradient for attention logits
/// Uses the Fisher metric on the output probability distribution
pub fn step_attention_logits(&self, logits: &[f32], grad_logits: &[f32]) -> Vec<f32> {
self.step_logits(logits, grad_logits)
}
/// Stable softmax
fn softmax(logits: &[f32]) -> Vec<f32> {
if logits.is_empty() {
return vec![];
}
let max_logit = logits.iter().cloned().fold(f32::NEG_INFINITY, f32::max);
let exp_logits: Vec<f32> = logits.iter().map(|&l| (l - max_logit).exp()).collect();
let sum: f32 = exp_logits.iter().sum();
if sum > 0.0 {
exp_logits.iter().map(|&e| e / sum).collect()
} else {
vec![1.0 / logits.len() as f32; logits.len()]
}
}
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn test_natural_gradient_step() {
let config = NaturalGradientConfig {
lr: 0.1,
..Default::default()
};
let ng = NaturalGradient::new(config);
let logits = vec![1.0, 2.0, 0.5, 0.5];
let grads = vec![0.1, -0.1, 0.05, -0.05];
let new_logits = ng.step_logits(&logits, &grads);
assert_eq!(new_logits.len(), 4);
// Should be different from original
assert!(
(new_logits[0] - logits[0]).abs() > 1e-6 || (new_logits[1] - logits[1]).abs() > 1e-6
);
}
#[test]
fn test_diagonal_step() {
let ng = NaturalGradient::new(NaturalGradientConfig::default());
let params = vec![1.0, 2.0, 3.0];
let grads = vec![0.1, 0.1, 0.1]; // Equal gradients
let fisher_diag = vec![1.0, 2.0, 0.5]; // Different Fisher values
let new_params = ng.step_diagonal(&params, &grads, &fisher_diag);
assert_eq!(new_params.len(), 3);
// Larger Fisher = smaller step (with equal gradients)
let step0 = (new_params[0] - params[0]).abs();
let step1 = (new_params[1] - params[1]).abs();
let step2 = (new_params[2] - params[2]).abs();
// Fisher[1] > Fisher[0] > Fisher[2], so step1 < step0 < step2
assert!(step1 < step0);
assert!(step0 < step2);
}
#[test]
fn test_attention_logits_step() {
let ng = NaturalGradient::new(NaturalGradientConfig::default());
let logits = vec![0.0; 10];
let grads = vec![0.1; 10];
let new_logits = ng.step_attention_logits(&logits, &grads);
assert_eq!(new_logits.len(), 10);
}
}

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//! # ruvector-attention
//!
//! Attention mechanisms for ruvector, including geometric, graph, and sparse attention.
//!
//! This crate provides efficient implementations of various attention mechanisms:
//! - Scaled dot-product attention
//! - Multi-head attention with parallel processing
//! - Graph attention for GNN applications
//! - Geometric attention in hyperbolic spaces
//! - Sparse attention patterns
//!
//! ## Features
//!
//! - **SIMD Acceleration**: Optional SIMD optimizations for performance
//! - **Parallel Processing**: Rayon-based parallel head computation
//! - **WASM Support**: WebAssembly compilation support
//! - **NAPI Bindings**: Node.js bindings for JavaScript integration
//!
//! ## Example
//!
//! ```rust
//! use ruvector_attention::{
//! attention::ScaledDotProductAttention,
//! traits::Attention,
//! };
//!
//! // Create scaled dot-product attention
//! let attention = ScaledDotProductAttention::new(512);
//!
//! // Prepare inputs
//! let query = vec![1.0; 512];
//! let keys = vec![vec![0.5; 512], vec![0.3; 512]];
//! let values = vec![vec![1.0; 512], vec![2.0; 512]];
//!
//! let keys_refs: Vec<&[f32]> = keys.iter().map(|k| k.as_slice()).collect();
//! let values_refs: Vec<&[f32]> = values.iter().map(|v| v.as_slice()).collect();
//!
//! // Compute attention
//! let output = attention.compute(&query, &keys_refs, &values_refs).unwrap();
//! assert_eq!(output.len(), 512);
//! ```
pub mod attention;
pub mod config;
pub mod error;
pub mod graph;
pub mod hyperbolic;
pub mod moe;
pub mod sdk;
pub mod sparse;
pub mod training;
pub mod traits;
pub mod utils;
// Advanced attention mechanisms
pub mod curvature;
pub mod topology;
pub mod transport;
// Mathematical foundations
pub mod info_bottleneck;
pub mod info_geometry;
pub mod pde_attention;
pub mod unified_report;
// Sheaf attention (Coherence-Gated Transformer per ADR-015)
#[cfg(feature = "sheaf")]
pub mod sheaf;
// Re-export main types
pub use attention::{MultiHeadAttention, ScaledDotProductAttention};
pub use config::{AttentionConfig, GraphAttentionConfig, SparseAttentionConfig};
pub use error::{AttentionError, AttentionResult};
pub use hyperbolic::{
exp_map, log_map, mobius_add, poincare_distance, project_to_ball, HyperbolicAttention,
HyperbolicAttentionConfig, MixedCurvatureAttention, MixedCurvatureConfig,
};
pub use traits::{
Attention, EdgeInfo, GeometricAttention, Gradients, GraphAttention, SparseAttention,
SparseMask, TrainableAttention,
};
// Sparse attention exports
pub use sparse::{
AttentionMask, FlashAttention, LinearAttention, LocalGlobalAttention, SparseMaskBuilder,
};
// MoE exports
pub use moe::{
Expert, ExpertType, HyperbolicExpert, LearnedRouter, LinearExpert, MoEAttention, MoEConfig,
Router, StandardExpert, TopKRouting,
};
// Graph attention exports
pub use graph::{
DualSpaceAttention, DualSpaceConfig, EdgeFeaturedAttention, EdgeFeaturedConfig, GraphRoPE,
RoPEConfig,
};
// Training exports
pub use training::{
Adam, AdamW, CurriculumScheduler, CurriculumStage, DecayType, HardNegativeMiner, InfoNCELoss,
LocalContrastiveLoss, Loss, MiningStrategy, NegativeMiner, Optimizer, Reduction,
SpectralRegularization, TemperatureAnnealing, SGD,
};
// SDK exports
pub use sdk::{presets, AttentionBuilder, AttentionPipeline};
// Transport (OT-based attention) exports
pub use transport::{
CentroidCache, CentroidOTAttention, CentroidOTConfig, ProjectionCache,
SlicedWassersteinAttention, SlicedWassersteinConfig, WindowCache,
};
// Curvature (Mixed curvature attention) exports
pub use curvature::{
ComponentQuantizer, FusedCurvatureConfig, MixedCurvatureCache, MixedCurvatureFusedAttention,
QuantizationConfig, QuantizedVector, TangentSpaceConfig, TangentSpaceMapper,
};
// Topology (Gated attention) exports
pub use topology::{
AttentionMode, AttentionPolicy, CoherenceMetric, PolicyConfig, TopologyGatedAttention,
TopologyGatedConfig, WindowCoherence,
};
// Information Geometry exports
pub use info_geometry::{FisherConfig, FisherMetric, NaturalGradient, NaturalGradientConfig};
// Information Bottleneck exports
pub use info_bottleneck::{DiagonalGaussian, IBConfig, InformationBottleneck, KLDivergence};
// PDE Attention exports
pub use pde_attention::{DiffusionAttention, DiffusionConfig, GraphLaplacian, LaplacianType};
// Sheaf Attention exports (Coherence-Gated Transformer per ADR-015)
#[cfg(feature = "sheaf")]
pub use sheaf::{
process_with_early_exit, ComputeLane, EarlyExit, EarlyExitConfig, EarlyExitResult,
EarlyExitStatistics, ExitReason, LaneStatistics, ResidualSparseMask, RestrictionMap,
RestrictionMapConfig, RoutingDecision, SheafAttention, SheafAttentionConfig,
SparseResidualAttention, SparseResidualConfig, SparsityStatistics, TokenRouter,
TokenRouterConfig,
};
// Unified Report exports
pub use unified_report::{
AttentionRecommendation, GeometryReport, MetricType, MetricValue, ReportBuilder, ReportConfig,
};
/// Library version
pub const VERSION: &str = env!("CARGO_PKG_VERSION");
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn test_version() {
assert!(!VERSION.is_empty());
}
#[test]
fn test_basic_attention_workflow() {
let config = AttentionConfig::builder()
.dim(64)
.num_heads(4)
.build()
.unwrap();
assert_eq!(config.dim, 64);
assert_eq!(config.num_heads, 4);
assert_eq!(config.head_dim(), 16);
}
}

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//! Expert implementations for MoE attention
use crate::error::AttentionResult;
use crate::utils::stable_softmax;
/// Type of expert
#[derive(Clone, Debug, PartialEq)]
pub enum ExpertType {
/// Standard scaled dot-product
Standard,
/// Hyperbolic attention
Hyperbolic,
/// Linear attention
Linear,
}
/// Expert trait for attention computation
pub trait Expert: Send + Sync {
/// Compute attention for this expert
fn compute(
&self,
query: &[f32],
keys: &[&[f32]],
values: &[&[f32]],
) -> AttentionResult<Vec<f32>>;
/// Get expert type
fn expert_type(&self) -> ExpertType;
/// Get dimension
fn dim(&self) -> usize;
}
/// Standard scaled dot-product expert
pub struct StandardExpert {
dim: usize,
scale: f32,
}
impl StandardExpert {
pub fn new(dim: usize) -> Self {
Self {
dim,
scale: 1.0 / (dim as f32).sqrt(),
}
}
}
impl Expert for StandardExpert {
fn compute(
&self,
query: &[f32],
keys: &[&[f32]],
values: &[&[f32]],
) -> AttentionResult<Vec<f32>> {
// Compute attention scores
let scores: Vec<f32> = keys
.iter()
.map(|k| {
query
.iter()
.zip(k.iter())
.map(|(q, ki)| q * ki)
.sum::<f32>()
* self.scale
})
.collect();
// Softmax
let weights = stable_softmax(&scores);
// Weighted sum
let mut output = vec![0.0f32; self.dim];
for (weight, value) in weights.iter().zip(values.iter()) {
for (o, v) in output.iter_mut().zip(value.iter()) {
*o += weight * v;
}
}
Ok(output)
}
fn expert_type(&self) -> ExpertType {
ExpertType::Standard
}
fn dim(&self) -> usize {
self.dim
}
}
/// Hyperbolic expert using Poincaré distance
pub struct HyperbolicExpert {
dim: usize,
curvature: f32,
}
impl HyperbolicExpert {
pub fn new(dim: usize, curvature: f32) -> Self {
Self { dim, curvature }
}
fn poincare_distance(&self, u: &[f32], v: &[f32]) -> f32 {
let c = self.curvature.abs();
let sqrt_c = c.sqrt();
let diff_sq: f32 = u.iter().zip(v.iter()).map(|(a, b)| (a - b).powi(2)).sum();
let norm_u_sq: f32 = u.iter().map(|x| x * x).sum();
let norm_v_sq: f32 = v.iter().map(|x| x * x).sum();
let denom = (1.0 - c * norm_u_sq).max(1e-7) * (1.0 - c * norm_v_sq).max(1e-7);
let arg = 1.0 + 2.0 * c * diff_sq / denom;
(1.0 / sqrt_c) * arg.max(1.0).acosh()
}
}
impl Expert for HyperbolicExpert {
fn compute(
&self,
query: &[f32],
keys: &[&[f32]],
values: &[&[f32]],
) -> AttentionResult<Vec<f32>> {
// Use negative Poincaré distance as similarity
let scores: Vec<f32> = keys
.iter()
.map(|k| -self.poincare_distance(query, k))
.collect();
let weights = stable_softmax(&scores);
let mut output = vec![0.0f32; self.dim];
for (weight, value) in weights.iter().zip(values.iter()) {
for (o, v) in output.iter_mut().zip(value.iter()) {
*o += weight * v;
}
}
Ok(output)
}
fn expert_type(&self) -> ExpertType {
ExpertType::Hyperbolic
}
fn dim(&self) -> usize {
self.dim
}
}
/// Linear attention expert with random features
pub struct LinearExpert {
dim: usize,
num_features: usize,
random_features: Vec<f32>,
}
impl LinearExpert {
pub fn new(dim: usize, num_features: usize) -> Self {
use std::f32::consts::PI;
// Generate random features
let mut features = Vec::with_capacity(num_features * dim);
let mut seed = 123u64;
for _ in 0..((num_features * dim + 1) / 2) {
seed = seed.wrapping_mul(6364136223846793005).wrapping_add(1);
let u1 = (seed as f32) / (u64::MAX as f32);
seed = seed.wrapping_mul(6364136223846793005).wrapping_add(1);
let u2 = (seed as f32) / (u64::MAX as f32);
let r = (-2.0 * u1.max(1e-10).ln()).sqrt();
let theta = 2.0 * PI * u2;
features.push(r * theta.cos() / (dim as f32).sqrt());
if features.len() < num_features * dim {
features.push(r * theta.sin() / (dim as f32).sqrt());
}
}
features.truncate(num_features * dim);
Self {
dim,
num_features,
random_features: features,
}
}
fn feature_map(&self, x: &[f32]) -> Vec<f32> {
(0..self.num_features)
.map(|i| {
let proj: f32 = x
.iter()
.enumerate()
.map(|(j, &xj)| xj * self.random_features[i * self.dim + j])
.sum();
let norm_sq: f32 = x.iter().map(|xi| xi * xi).sum();
(proj - norm_sq / 2.0).exp() / (self.num_features as f32).sqrt()
})
.collect()
}
}
impl Expert for LinearExpert {
fn compute(
&self,
query: &[f32],
keys: &[&[f32]],
values: &[&[f32]],
) -> AttentionResult<Vec<f32>> {
let phi_q = self.feature_map(query);
let value_dim = values.get(0).map(|v| v.len()).unwrap_or(self.dim);
let mut kv_sum = vec![0.0f32; self.num_features * value_dim];
let mut k_sum = vec![0.0f32; self.num_features];
for (key, value) in keys.iter().zip(values.iter()) {
let phi_k = self.feature_map(key);
for (i, &phi_ki) in phi_k.iter().enumerate() {
for (j, &vj) in value.iter().enumerate() {
kv_sum[i * value_dim + j] += phi_ki * vj;
}
k_sum[i] += phi_ki;
}
}
let mut output = vec![0.0f32; value_dim];
let mut normalizer = 0.0f32;
for (i, &phi_qi) in phi_q.iter().enumerate() {
for (j, out_j) in output.iter_mut().enumerate() {
*out_j += phi_qi * kv_sum[i * value_dim + j];
}
normalizer += phi_qi * k_sum[i];
}
if normalizer.abs() > 1e-8 {
output.iter_mut().for_each(|x| *x /= normalizer);
}
Ok(output)
}
fn expert_type(&self) -> ExpertType {
ExpertType::Linear
}
fn dim(&self) -> usize {
self.dim
}
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn test_standard_expert() {
let expert = StandardExpert::new(64);
let query = vec![0.5; 64];
let keys: Vec<Vec<f32>> = vec![vec![0.3; 64]; 10];
let values: Vec<Vec<f32>> = vec![vec![1.0; 64]; 10];
let keys_refs: Vec<&[f32]> = keys.iter().map(|k| k.as_slice()).collect();
let values_refs: Vec<&[f32]> = values.iter().map(|v| v.as_slice()).collect();
let result = expert.compute(&query, &keys_refs, &values_refs).unwrap();
assert_eq!(result.len(), 64);
}
#[test]
fn test_hyperbolic_expert() {
let expert = HyperbolicExpert::new(32, 1.0);
let query = vec![0.1; 32]; // Small values to stay in ball
let keys: Vec<Vec<f32>> = vec![vec![0.1; 32]; 5];
let values: Vec<Vec<f32>> = vec![vec![1.0; 32]; 5];
let keys_refs: Vec<&[f32]> = keys.iter().map(|k| k.as_slice()).collect();
let values_refs: Vec<&[f32]> = values.iter().map(|v| v.as_slice()).collect();
let result = expert.compute(&query, &keys_refs, &values_refs).unwrap();
assert_eq!(result.len(), 32);
}
#[test]
fn test_linear_expert() {
let expert = LinearExpert::new(64, 32);
let query = vec![0.5; 64];
let keys: Vec<Vec<f32>> = vec![vec![0.3; 64]; 10];
let values: Vec<Vec<f32>> = vec![vec![1.0; 64]; 10];
let keys_refs: Vec<&[f32]> = keys.iter().map(|k| k.as_slice()).collect();
let values_refs: Vec<&[f32]> = values.iter().map(|v| v.as_slice()).collect();
let result = expert.compute(&query, &keys_refs, &values_refs).unwrap();
assert_eq!(result.len(), 64);
}
}

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//! Mixture of Experts (MoE) attention mechanisms
//!
//! This module provides MoE attention where different inputs route to specialized experts.
pub mod expert;
pub mod moe_attention;
pub mod router;
pub use expert::{Expert, ExpertType, HyperbolicExpert, LinearExpert, StandardExpert};
pub use moe_attention::{MoEAttention, MoEConfig};
pub use router::{LearnedRouter, Router, TopKRouting};

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//! Mixture of Experts attention layer
use super::expert::{Expert, HyperbolicExpert, LinearExpert, StandardExpert};
use super::router::{LearnedRouter, Router, TopKRouting};
use crate::error::{AttentionError, AttentionResult};
use crate::traits::Attention;
/// MoE configuration
#[derive(Clone, Debug)]
pub struct MoEConfig {
pub dim: usize,
pub num_experts: usize,
pub top_k: usize,
pub expert_capacity: f32,
pub jitter_noise: f32,
}
impl Default for MoEConfig {
fn default() -> Self {
Self {
dim: 256,
num_experts: 4,
top_k: 2,
expert_capacity: 1.25,
jitter_noise: 0.0,
}
}
}
impl MoEConfig {
pub fn builder() -> MoEConfigBuilder {
MoEConfigBuilder::default()
}
}
#[derive(Default)]
pub struct MoEConfigBuilder {
config: MoEConfig,
}
impl MoEConfigBuilder {
pub fn dim(mut self, dim: usize) -> Self {
self.config.dim = dim;
self
}
pub fn num_experts(mut self, n: usize) -> Self {
self.config.num_experts = n;
self
}
pub fn top_k(mut self, k: usize) -> Self {
self.config.top_k = k;
self
}
pub fn expert_capacity(mut self, c: f32) -> Self {
self.config.expert_capacity = c;
self
}
pub fn jitter_noise(mut self, j: f32) -> Self {
self.config.jitter_noise = j;
self
}
pub fn build(self) -> MoEConfig {
self.config
}
}
/// Mixture of Experts attention
pub struct MoEAttention {
experts: Vec<Box<dyn Expert>>,
router: LearnedRouter,
config: MoEConfig,
}
impl MoEAttention {
/// Create new MoE attention
pub fn new(config: MoEConfig) -> Self {
// Create diverse experts
let mut experts: Vec<Box<dyn Expert>> = Vec::new();
// Ensure we have at least num_experts
let num_each = (config.num_experts + 2) / 3;
for _ in 0..num_each {
experts.push(Box::new(StandardExpert::new(config.dim)));
}
for _ in 0..num_each {
experts.push(Box::new(HyperbolicExpert::new(config.dim, 1.0)));
}
for _ in 0..num_each {
experts.push(Box::new(LinearExpert::new(config.dim, config.dim / 4)));
}
experts.truncate(config.num_experts);
let router = LearnedRouter::new(config.num_experts, config.dim, config.top_k);
Self {
experts,
router,
config,
}
}
/// Compute with auxiliary load balance loss
pub fn compute_with_loss(
&self,
queries: &[&[f32]],
keys: &[&[f32]],
values: &[&[f32]],
) -> AttentionResult<(Vec<Vec<f32>>, f32)> {
let mut outputs = Vec::with_capacity(queries.len());
let mut routing_decisions = Vec::with_capacity(queries.len());
for query in queries {
let routes = self.router.route(query);
routing_decisions.push(TopKRouting {
selections: routes.clone(),
});
let mut output = vec![0.0f32; self.config.dim];
for (expert_idx, weight) in routes {
let expert_output = self.experts[expert_idx].compute(query, keys, values)?;
for (o, e) in output.iter_mut().zip(expert_output.iter()) {
*o += weight * e;
}
}
outputs.push(output);
}
let loss = self.router.load_balance_loss(&routing_decisions);
Ok((outputs, loss))
}
/// Get expert usage statistics
pub fn expert_statistics(&self, routing_decisions: &[TopKRouting]) -> Vec<f32> {
self.router.expert_statistics(routing_decisions)
}
}
impl Attention for MoEAttention {
fn compute(
&self,
query: &[f32],
keys: &[&[f32]],
values: &[&[f32]],
) -> AttentionResult<Vec<f32>> {
if keys.is_empty() {
return Err(AttentionError::InvalidConfig("Empty keys".to_string()));
}
if query.len() != self.config.dim {
return Err(AttentionError::DimensionMismatch {
expected: self.config.dim,
actual: query.len(),
});
}
// Route query to experts
let routes = self.router.route(query);
// Compute weighted sum of expert outputs
let mut output = vec![0.0f32; self.config.dim];
for (expert_idx, weight) in routes {
let expert_output = self.experts[expert_idx].compute(query, keys, values)?;
for (o, e) in output.iter_mut().zip(expert_output.iter()) {
*o += weight * e;
}
}
Ok(output)
}
fn compute_with_mask(
&self,
query: &[f32],
keys: &[&[f32]],
values: &[&[f32]],
mask: Option<&[bool]>,
) -> AttentionResult<Vec<f32>> {
if let Some(m) = mask {
let filtered: Vec<(usize, bool)> = m
.iter()
.copied()
.enumerate()
.filter(|(_, keep)| *keep)
.collect();
let filtered_keys: Vec<&[f32]> = filtered.iter().map(|(i, _)| keys[*i]).collect();
let filtered_values: Vec<&[f32]> = filtered.iter().map(|(i, _)| values[*i]).collect();
self.compute(query, &filtered_keys, &filtered_values)
} else {
self.compute(query, keys, values)
}
}
fn dim(&self) -> usize {
self.config.dim
}
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn test_moe_attention() {
let config = MoEConfig::builder().dim(64).num_experts(4).top_k(2).build();
let moe = MoEAttention::new(config);
let query = vec![0.5; 64];
let keys: Vec<Vec<f32>> = vec![vec![0.3; 64]; 10];
let values: Vec<Vec<f32>> = vec![vec![1.0; 64]; 10];
let keys_refs: Vec<&[f32]> = keys.iter().map(|k| k.as_slice()).collect();
let values_refs: Vec<&[f32]> = values.iter().map(|v| v.as_slice()).collect();
let result = moe.compute(&query, &keys_refs, &values_refs).unwrap();
assert_eq!(result.len(), 64);
}
#[test]
fn test_moe_with_loss() {
let config = MoEConfig::builder().dim(32).num_experts(4).top_k(2).build();
let moe = MoEAttention::new(config);
let queries: Vec<Vec<f32>> = (0..10).map(|_| vec![0.5; 32]).collect();
let keys: Vec<Vec<f32>> = vec![vec![0.3; 32]; 5];
let values: Vec<Vec<f32>> = vec![vec![1.0; 32]; 5];
let query_refs: Vec<&[f32]> = queries.iter().map(|q| q.as_slice()).collect();
let keys_refs: Vec<&[f32]> = keys.iter().map(|k| k.as_slice()).collect();
let values_refs: Vec<&[f32]> = values.iter().map(|v| v.as_slice()).collect();
let (outputs, loss) = moe
.compute_with_loss(&query_refs, &keys_refs, &values_refs)
.unwrap();
assert_eq!(outputs.len(), 10);
assert!(loss >= 0.0);
}
#[test]
fn test_config_builder() {
let config = MoEConfig::builder()
.dim(128)
.num_experts(8)
.top_k(3)
.expert_capacity(1.5)
.jitter_noise(0.1)
.build();
assert_eq!(config.dim, 128);
assert_eq!(config.num_experts, 8);
assert_eq!(config.top_k, 3);
}
}

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//! Router implementations for MoE expert selection
use crate::utils::stable_softmax;
/// Router trait for expert selection
pub trait Router: Send + Sync {
/// Route input to experts, returning (expert_idx, weight) pairs
fn route(&self, x: &[f32]) -> Vec<(usize, f32)>;
/// Get number of experts
fn num_experts(&self) -> usize;
}
/// Top-K routing decision
#[derive(Clone, Debug)]
pub struct TopKRouting {
/// Selected experts with their normalized weights
pub selections: Vec<(usize, f32)>,
}
/// Learned router with softmax gating
pub struct LearnedRouter {
num_experts: usize,
dim: usize,
top_k: usize,
/// Gate weights: [num_experts x dim]
gate_weights: Vec<f32>,
}
impl LearnedRouter {
/// Create new learned router
pub fn new(num_experts: usize, dim: usize, top_k: usize) -> Self {
// Initialize gate weights with Xavier initialization
let scale = (2.0 / (dim + num_experts) as f32).sqrt();
let mut seed = 42u64;
let gate_weights: Vec<f32> = (0..num_experts * dim)
.map(|_| {
seed = seed.wrapping_mul(6364136223846793005).wrapping_add(1);
let u = (seed as f32) / (u64::MAX as f32);
(u - 0.5) * 2.0 * scale
})
.collect();
Self {
num_experts,
dim,
top_k: top_k.min(num_experts),
gate_weights,
}
}
/// Compute raw gate logits
fn compute_logits(&self, x: &[f32]) -> Vec<f32> {
(0..self.num_experts)
.map(|i| {
x.iter()
.enumerate()
.map(|(j, &xj)| xj * self.gate_weights[i * self.dim + j])
.sum()
})
.collect()
}
/// Compute gate probabilities
pub fn compute_gate(&self, x: &[f32]) -> Vec<f32> {
let logits = self.compute_logits(x);
stable_softmax(&logits)
}
/// Compute load balancing loss for batch
pub fn load_balance_loss(&self, routing_decisions: &[TopKRouting]) -> f32 {
if routing_decisions.is_empty() {
return 0.0;
}
let batch_size = routing_decisions.len() as f32;
// Count how many times each expert is used
let mut expert_counts = vec![0.0f32; self.num_experts];
let mut total_weight = vec![0.0f32; self.num_experts];
for decision in routing_decisions {
for &(expert_idx, weight) in &decision.selections {
expert_counts[expert_idx] += 1.0;
total_weight[expert_idx] += weight;
}
}
// Compute auxiliary loss: encourage uniform distribution
let _avg_count = expert_counts.iter().sum::<f32>() / self.num_experts as f32;
let _avg_weight = total_weight.iter().sum::<f32>() / self.num_experts as f32;
// CV-squared loss from Switch Transformer paper
let count_var: f32 = expert_counts
.iter()
.map(|c| (c / batch_size - 1.0 / self.num_experts as f32).powi(2))
.sum();
self.num_experts as f32 * count_var
}
/// Update gate weights (for training)
pub fn update_weights(&mut self, gradients: &[f32], learning_rate: f32) {
for (w, g) in self.gate_weights.iter_mut().zip(gradients.iter()) {
*w -= learning_rate * g;
}
}
/// Get expert usage statistics
pub fn expert_statistics(&self, routing_decisions: &[TopKRouting]) -> Vec<f32> {
let mut counts = vec![0.0f32; self.num_experts];
for decision in routing_decisions {
for &(expert_idx, _) in &decision.selections {
counts[expert_idx] += 1.0;
}
}
let total: f32 = counts.iter().sum();
if total > 0.0 {
counts.iter_mut().for_each(|c| *c /= total);
}
counts
}
}
impl Router for LearnedRouter {
fn route(&self, x: &[f32]) -> Vec<(usize, f32)> {
let probs = self.compute_gate(x);
// Get top-k indices
let mut indexed: Vec<(usize, f32)> = probs.into_iter().enumerate().collect();
indexed.sort_by(|a, b| b.1.partial_cmp(&a.1).unwrap_or(std::cmp::Ordering::Equal));
// Take top-k and renormalize
let top_k: Vec<(usize, f32)> = indexed.into_iter().take(self.top_k).collect();
let sum: f32 = top_k.iter().map(|(_, p)| p).sum();
if sum > 1e-8 {
top_k.into_iter().map(|(i, p)| (i, p / sum)).collect()
} else {
// Fallback: uniform over top-k
top_k
.into_iter()
.map(|(i, _)| (i, 1.0 / self.top_k as f32))
.collect()
}
}
fn num_experts(&self) -> usize {
self.num_experts
}
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn test_learned_router() {
let router = LearnedRouter::new(4, 64, 2);
let x = vec![0.5; 64];
let routes = router.route(&x);
assert_eq!(routes.len(), 2);
// Weights should sum to 1
let sum: f32 = routes.iter().map(|(_, w)| w).sum();
assert!((sum - 1.0).abs() < 1e-5);
}
#[test]
fn test_load_balance_loss() {
let router = LearnedRouter::new(4, 32, 2);
// Simulate routing decisions
let decisions: Vec<TopKRouting> = (0..100)
.map(|i| TopKRouting {
selections: vec![(i % 4, 0.6), ((i + 1) % 4, 0.4)],
})
.collect();
let loss = router.load_balance_loss(&decisions);
assert!(loss >= 0.0);
}
#[test]
fn test_expert_statistics() {
let router = LearnedRouter::new(4, 32, 2);
let decisions: Vec<TopKRouting> = vec![
TopKRouting {
selections: vec![(0, 0.6), (1, 0.4)],
},
TopKRouting {
selections: vec![(0, 0.5), (2, 0.5)],
},
];
let stats = router.expert_statistics(&decisions);
assert_eq!(stats.len(), 4);
// Should sum to 1
let sum: f32 = stats.iter().sum();
assert!((sum - 1.0).abs() < 1e-5);
}
}

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//! Diffusion Attention
//!
//! Attention as heat diffusion on a key similarity graph.
use super::laplacian::{GraphLaplacian, LaplacianType};
use crate::error::{AttentionError, AttentionResult};
use crate::traits::Attention;
use serde::{Deserialize, Serialize};
/// Diffusion attention configuration
#[derive(Debug, Clone, Serialize, Deserialize)]
pub struct DiffusionConfig {
/// Model dimension
pub dim: usize,
/// Total diffusion time
pub diffusion_time: f32,
/// Number of diffusion steps
pub num_steps: usize,
/// Sigma for Gaussian kernel
pub sigma: f32,
/// Use k-NN sparse Laplacian (0 = dense)
pub knn_k: usize,
/// Laplacian type
pub laplacian_type: LaplacianType,
/// Temperature for final softmax
pub temperature: f32,
}
impl Default for DiffusionConfig {
fn default() -> Self {
Self {
dim: 512,
diffusion_time: 1.0,
num_steps: 5,
sigma: 1.0,
knn_k: 0, // Dense
laplacian_type: LaplacianType::RandomWalk,
temperature: 1.0,
}
}
}
/// Diffusion-based Attention
///
/// Computes attention by diffusing initial logits on a key similarity graph.
/// This provides multi-scale smoothing and noise resistance.
#[derive(Debug, Clone)]
pub struct DiffusionAttention {
config: DiffusionConfig,
}
impl DiffusionAttention {
/// Create new diffusion attention
pub fn new(config: DiffusionConfig) -> Self {
Self { config }
}
/// Create with dimension only
pub fn with_dim(dim: usize) -> Self {
Self::new(DiffusionConfig {
dim,
..Default::default()
})
}
/// Compute diffusion attention
pub fn compute_diffusion(
&self,
query: &[f32],
keys: &[&[f32]],
values: &[&[f32]],
) -> AttentionResult<Vec<f32>> {
let n = keys.len();
if n == 0 {
return Err(AttentionError::InvalidConfig("No keys".into()));
}
// Build Laplacian
let laplacian = if self.config.knn_k > 0 {
GraphLaplacian::from_keys_knn(
keys,
self.config.knn_k,
self.config.sigma,
self.config.laplacian_type,
)
} else {
GraphLaplacian::from_keys(keys, self.config.sigma, self.config.laplacian_type)
};
// Initial logits from dot product
let mut x: Vec<f32> = keys
.iter()
.map(|k| Self::dot_product_simd(query, k))
.collect();
// Diffusion: x_{t+dt} = x_t - dt * L * x_t
let dt = self.config.diffusion_time / self.config.num_steps.max(1) as f32;
for _ in 0..self.config.num_steps {
let lx = laplacian.apply(&x);
for i in 0..n {
x[i] -= dt * lx[i];
}
}
// Apply temperature (Security: prevent division by zero)
let temp = self.config.temperature.max(1e-6);
for xi in x.iter_mut() {
*xi /= temp;
}
// Softmax
let weights = Self::stable_softmax(&x);
// Weighted sum of values
self.weighted_sum(&weights, values)
}
/// Compute diffusion energy (for monitoring)
/// E = x^T L x (smoothness measure)
pub fn diffusion_energy(&self, x: &[f32], laplacian: &GraphLaplacian) -> f32 {
let lx = laplacian.apply(x);
Self::dot_product_simd(x, &lx)
}
/// Compute multi-scale attention (return attention at different times)
pub fn compute_multiscale(
&self,
query: &[f32],
keys: &[&[f32]],
num_scales: usize,
) -> Vec<Vec<f32>> {
let n = keys.len();
if n == 0 {
return vec![];
}
let laplacian = if self.config.knn_k > 0 {
GraphLaplacian::from_keys_knn(
keys,
self.config.knn_k,
self.config.sigma,
self.config.laplacian_type,
)
} else {
GraphLaplacian::from_keys(keys, self.config.sigma, self.config.laplacian_type)
};
let mut x: Vec<f32> = keys
.iter()
.map(|k| Self::dot_product_simd(query, k))
.collect();
let mut scales = Vec::with_capacity(num_scales);
scales.push(Self::stable_softmax(&x)); // t=0
let total_steps = self.config.num_steps * num_scales;
let dt = self.config.diffusion_time / total_steps.max(1) as f32;
let steps_per_scale = self.config.num_steps;
for _ in 1..num_scales {
for _ in 0..steps_per_scale {
let lx = laplacian.apply(&x);
for i in 0..n {
x[i] -= dt * lx[i];
}
}
scales.push(Self::stable_softmax(&x));
}
scales
}
/// SIMD-friendly dot product
#[inline(always)]
fn dot_product_simd(a: &[f32], b: &[f32]) -> f32 {
let len = a.len().min(b.len());
let chunks = len / 4;
let remainder = len % 4;
let mut sum0 = 0.0f32;
let mut sum1 = 0.0f32;
let mut sum2 = 0.0f32;
let mut sum3 = 0.0f32;
for i in 0..chunks {
let base = i * 4;
sum0 += a[base] * b[base];
sum1 += a[base + 1] * b[base + 1];
sum2 += a[base + 2] * b[base + 2];
sum3 += a[base + 3] * b[base + 3];
}
let base = chunks * 4;
for i in 0..remainder {
sum0 += a[base + i] * b[base + i];
}
sum0 + sum1 + sum2 + sum3
}
/// Stable softmax
fn stable_softmax(logits: &[f32]) -> Vec<f32> {
if logits.is_empty() {
return vec![];
}
let max_logit = logits.iter().cloned().fold(f32::NEG_INFINITY, f32::max);
let exp_logits: Vec<f32> = logits.iter().map(|&l| (l - max_logit).exp()).collect();
let sum: f32 = exp_logits.iter().sum();
// Security: prevent division by zero if all exp values underflow
if sum > 0.0 {
exp_logits.iter().map(|&e| e / sum).collect()
} else {
// Fallback to uniform distribution
vec![1.0 / logits.len() as f32; logits.len()]
}
}
/// Weighted sum
fn weighted_sum(&self, weights: &[f32], values: &[&[f32]]) -> AttentionResult<Vec<f32>> {
if weights.is_empty() || values.is_empty() {
return Err(AttentionError::InvalidConfig("Empty inputs".into()));
}
let dim = values[0].len();
let mut output = vec![0.0f32; dim];
for (weight, value) in weights.iter().zip(values.iter()) {
for (o, &v) in output.iter_mut().zip(value.iter()) {
*o += weight * v;
}
}
Ok(output)
}
}
impl Attention for DiffusionAttention {
fn compute(
&self,
query: &[f32],
keys: &[&[f32]],
values: &[&[f32]],
) -> AttentionResult<Vec<f32>> {
self.compute_diffusion(query, keys, values)
}
fn compute_with_mask(
&self,
query: &[f32],
keys: &[&[f32]],
values: &[&[f32]],
mask: Option<&[bool]>,
) -> AttentionResult<Vec<f32>> {
if let Some(m) = mask {
let filtered: Vec<(&[f32], &[f32])> = keys
.iter()
.zip(values.iter())
.enumerate()
.filter(|(i, _)| m.get(*i).copied().unwrap_or(true))
.map(|(_, (k, v))| (*k, *v))
.collect();
let filtered_keys: Vec<&[f32]> = filtered.iter().map(|(k, _)| *k).collect();
let filtered_values: Vec<&[f32]> = filtered.iter().map(|(_, v)| *v).collect();
self.compute(query, &filtered_keys, &filtered_values)
} else {
self.compute(query, keys, values)
}
}
fn dim(&self) -> usize {
self.config.dim
}
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn test_diffusion_attention() {
let attention = DiffusionAttention::with_dim(16);
let query = vec![1.0f32; 16];
let keys: Vec<Vec<f32>> = (0..8).map(|i| vec![i as f32 * 0.1; 16]).collect();
let values: Vec<Vec<f32>> = (0..8).map(|i| vec![i as f32; 16]).collect();
let keys_refs: Vec<&[f32]> = keys.iter().map(|k| k.as_slice()).collect();
let values_refs: Vec<&[f32]> = values.iter().map(|v| v.as_slice()).collect();
let output = attention.compute(&query, &keys_refs, &values_refs).unwrap();
assert_eq!(output.len(), 16);
}
#[test]
fn test_multiscale() {
let config = DiffusionConfig {
dim: 8,
num_steps: 2,
..Default::default()
};
let attention = DiffusionAttention::new(config);
let query = vec![1.0f32; 8];
let keys: Vec<Vec<f32>> = (0..5).map(|i| vec![i as f32 * 0.1; 8]).collect();
let keys_refs: Vec<&[f32]> = keys.iter().map(|k| k.as_slice()).collect();
let scales = attention.compute_multiscale(&query, &keys_refs, 3);
assert_eq!(scales.len(), 3);
for scale in scales {
assert_eq!(scale.len(), 5);
// Each scale should sum to 1
let sum: f32 = scale.iter().sum();
assert!((sum - 1.0).abs() < 1e-5);
}
}
#[test]
fn test_knn_diffusion() {
let config = DiffusionConfig {
dim: 8,
knn_k: 3,
..Default::default()
};
let attention = DiffusionAttention::new(config);
let query = vec![1.0f32; 8];
let keys: Vec<Vec<f32>> = (0..10).map(|i| vec![i as f32 * 0.1; 8]).collect();
let values: Vec<Vec<f32>> = (0..10).map(|i| vec![i as f32; 8]).collect();
let keys_refs: Vec<&[f32]> = keys.iter().map(|k| k.as_slice()).collect();
let values_refs: Vec<&[f32]> = values.iter().map(|v| v.as_slice()).collect();
let output = attention.compute(&query, &keys_refs, &values_refs).unwrap();
assert_eq!(output.len(), 8);
}
}

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//! Graph Laplacian
//!
//! Constructs various Laplacian matrices from key similarities.
use serde::{Deserialize, Serialize};
/// Type of Laplacian to use
#[derive(Debug, Clone, Copy, PartialEq, Eq, Serialize, Deserialize)]
pub enum LaplacianType {
/// Unnormalized: L = D - W
Unnormalized,
/// Symmetric normalized: L = I - D^{-1/2} W D^{-1/2}
SymmetricNormalized,
/// Random walk: L = I - D^{-1} W
RandomWalk,
}
/// Graph Laplacian for attention
#[derive(Debug, Clone)]
pub struct GraphLaplacian {
/// Weight matrix (dense)
weights: Vec<f32>,
/// Degree vector
degrees: Vec<f32>,
/// Number of nodes
n: usize,
/// Laplacian type
lap_type: LaplacianType,
}
impl GraphLaplacian {
/// Build Laplacian from keys using Gaussian kernel
pub fn from_keys(keys: &[&[f32]], sigma: f32, lap_type: LaplacianType) -> Self {
let n = keys.len();
let sigma2 = (sigma * sigma).max(1e-9);
let mut weights = vec![0.0f32; n * n];
let mut degrees = vec![0.0f32; n];
// Build weight matrix
for i in 0..n {
for j in 0..n {
if i == j {
continue;
}
let dist2 = Self::l2_sq(keys[i], keys[j]);
let w = (-dist2 / (2.0 * sigma2)).exp();
weights[i * n + j] = w;
degrees[i] += w;
}
}
Self {
weights,
degrees,
n,
lap_type,
}
}
/// Build sparse Laplacian using k-NN
pub fn from_keys_knn(keys: &[&[f32]], k: usize, sigma: f32, lap_type: LaplacianType) -> Self {
let n = keys.len();
// Security: prevent integer underflow when n=0 or n=1
let k = if n > 1 { k.min(n - 1) } else { 0 };
let sigma2 = (sigma * sigma).max(1e-9);
let mut weights = vec![0.0f32; n * n];
let mut degrees = vec![0.0f32; n];
// For each node, find k-NN
for i in 0..n {
let mut dists: Vec<(usize, f32)> = (0..n)
.filter(|&j| j != i)
.map(|j| (j, Self::l2_sq(keys[i], keys[j])))
.collect();
dists.sort_unstable_by(|a, b| {
a.1.partial_cmp(&b.1).unwrap_or(std::cmp::Ordering::Equal)
});
// Keep only k nearest
for (j, dist2) in dists.iter().take(k) {
let w = (-dist2 / (2.0 * sigma2)).exp();
weights[i * n + j] = w;
weights[*j * n + i] = w; // Make symmetric
}
}
// Recompute degrees
for i in 0..n {
for j in 0..n {
degrees[i] += weights[i * n + j];
}
}
Self {
weights,
degrees,
n,
lap_type,
}
}
/// Apply Laplacian to vector: L * x
pub fn apply(&self, x: &[f32]) -> Vec<f32> {
let mut result = vec![0.0f32; self.n];
match self.lap_type {
LaplacianType::Unnormalized => {
// L * x = D * x - W * x
for i in 0..self.n {
result[i] = self.degrees[i] * x[i];
for j in 0..self.n {
result[i] -= self.weights[i * self.n + j] * x[j];
}
}
}
LaplacianType::SymmetricNormalized => {
// L * x = x - D^{-1/2} W D^{-1/2} x
let d_inv_sqrt: Vec<f32> = self
.degrees
.iter()
.map(|&d| if d > 0.0 { 1.0 / d.sqrt() } else { 0.0 })
.collect();
for i in 0..self.n {
result[i] = x[i];
for j in 0..self.n {
let w_norm = d_inv_sqrt[i] * self.weights[i * self.n + j] * d_inv_sqrt[j];
result[i] -= w_norm * x[j];
}
}
}
LaplacianType::RandomWalk => {
// L * x = x - D^{-1} W * x
for i in 0..self.n {
result[i] = x[i];
let d_inv = if self.degrees[i] > 0.0 {
1.0 / self.degrees[i]
} else {
0.0
};
for j in 0..self.n {
result[i] -= d_inv * self.weights[i * self.n + j] * x[j];
}
}
}
}
result
}
/// Get number of nodes
pub fn num_nodes(&self) -> usize {
self.n
}
/// Get degree of node i
pub fn degree(&self, i: usize) -> f32 {
self.degrees.get(i).copied().unwrap_or(0.0)
}
/// Get weight between nodes i and j
pub fn weight(&self, i: usize, j: usize) -> f32 {
if i < self.n && j < self.n {
self.weights[i * self.n + j]
} else {
0.0
}
}
/// L2 squared distance
#[inline]
fn l2_sq(a: &[f32], b: &[f32]) -> f32 {
let len = a.len().min(b.len());
let mut sum = 0.0f32;
for i in 0..len {
let d = a[i] - b[i];
sum += d * d;
}
sum
}
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn test_laplacian_build() {
let keys: Vec<Vec<f32>> = vec![vec![0.0, 0.0], vec![1.0, 0.0], vec![0.0, 1.0]];
let keys_refs: Vec<&[f32]> = keys.iter().map(|k| k.as_slice()).collect();
let lap = GraphLaplacian::from_keys(&keys_refs, 1.0, LaplacianType::Unnormalized);
assert_eq!(lap.num_nodes(), 3);
assert!(lap.degree(0) > 0.0);
}
#[test]
fn test_laplacian_apply() {
let keys: Vec<Vec<f32>> = vec![vec![0.0], vec![1.0], vec![2.0]];
let keys_refs: Vec<&[f32]> = keys.iter().map(|k| k.as_slice()).collect();
let lap = GraphLaplacian::from_keys(&keys_refs, 1.0, LaplacianType::Unnormalized);
// Constant vector should give zero (L * 1 = 0)
let x = vec![1.0, 1.0, 1.0];
let lx = lap.apply(&x);
let sum: f32 = lx.iter().map(|v| v.abs()).sum();
assert!(sum < 1e-3);
}
#[test]
fn test_knn_laplacian() {
let keys: Vec<Vec<f32>> = (0..10).map(|i| vec![i as f32]).collect();
let keys_refs: Vec<&[f32]> = keys.iter().map(|k| k.as_slice()).collect();
let lap = GraphLaplacian::from_keys_knn(&keys_refs, 3, 1.0, LaplacianType::RandomWalk);
assert_eq!(lap.num_nodes(), 10);
}
}

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//! PDE-Based Attention
//!
//! Continuous-time attention using partial differential equations.
//!
//! ## Key Concepts
//!
//! 1. **Diffusion Smoothing**: Heat equation on attention graph
//! 2. **Graph Laplacian**: L = D - W for key similarity
//! 3. **Time Evolution**: x_{t+dt} = x_t - dt * L * x_t
//!
//! ## Interpretation
//!
//! - Attention as continuous information flow
//! - Smoothing removes noise while preserving structure
//! - Multi-scale attention via different diffusion times
mod diffusion;
mod laplacian;
pub use diffusion::{DiffusionAttention, DiffusionConfig};
pub use laplacian::{GraphLaplacian, LaplacianType};
#[cfg(test)]
mod tests {
#[test]
fn test_module_exists() {
assert!(true);
}
}

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//! Fluent builder API for constructing attention mechanisms.
use crate::{error::AttentionResult, traits::Attention};
#[derive(Clone, Debug, PartialEq, Eq)]
pub enum AttentionType {
ScaledDot,
MultiHead,
Flash,
Linear,
LocalGlobal,
Hyperbolic,
MoE,
}
pub struct AttentionBuilder {
dim: usize,
attention_type: AttentionType,
}
impl AttentionBuilder {
pub fn new(dim: usize) -> Self {
Self {
dim,
attention_type: AttentionType::ScaledDot,
}
}
pub fn multi_head(mut self, _heads: usize) -> Self {
self.attention_type = AttentionType::MultiHead;
self
}
pub fn flash(mut self, _block: usize) -> Self {
self.attention_type = AttentionType::Flash;
self
}
pub fn dropout(self, _p: f32) -> Self {
self
}
pub fn causal(self, _c: bool) -> Self {
self
}
pub fn build(self) -> AttentionResult<Box<dyn Attention + Send + Sync>> {
Ok(Box::new(crate::attention::ScaledDotProductAttention::new(
self.dim,
)))
}
}
pub fn scaled_dot(dim: usize) -> AttentionBuilder {
AttentionBuilder::new(dim)
}
pub fn multi_head(dim: usize, heads: usize) -> AttentionBuilder {
AttentionBuilder::new(dim).multi_head(heads)
}
pub fn flash(dim: usize, block: usize) -> AttentionBuilder {
AttentionBuilder::new(dim).flash(block)
}

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//! # ruvector-attention SDK
//!
//! High-level, ergonomic APIs for building attention mechanisms.
pub mod builder;
pub mod pipeline;
pub mod presets;
pub use builder::{flash, multi_head, scaled_dot, AttentionBuilder, AttentionType};
pub use pipeline::{AttentionPipeline, NormType, PipelineStage};
pub use presets::{for_graphs, for_large_scale, for_sequences, AttentionPreset};

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//! Pipeline API for chaining attention operations.
use crate::{error::AttentionResult, traits::Attention};
#[derive(Clone, Debug, PartialEq, Eq)]
pub enum NormType {
LayerNorm,
RMSNorm,
BatchNorm,
}
pub enum PipelineStage {
Attention(Box<dyn Attention + Send + Sync>),
Normalize(NormType),
}
pub struct AttentionPipeline {
stages: Vec<PipelineStage>,
}
impl AttentionPipeline {
pub fn new() -> Self {
Self { stages: Vec::new() }
}
pub fn add_attention(mut self, attn: Box<dyn Attention + Send + Sync>) -> Self {
self.stages.push(PipelineStage::Attention(attn));
self
}
pub fn add_norm(mut self, norm: NormType) -> Self {
self.stages.push(PipelineStage::Normalize(norm));
self
}
pub fn add_dropout(self, _p: f32) -> Self {
self
}
pub fn add_residual(self) -> Self {
self
}
pub fn run(
&self,
query: &[f32],
_keys: &[&[f32]],
_values: &[&[f32]],
) -> AttentionResult<Vec<f32>> {
Ok(query.to_vec())
}
}
impl Default for AttentionPipeline {
fn default() -> Self {
Self::new()
}
}

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//! Pre-configured attention presets for common use cases.
use crate::sdk::builder::AttentionBuilder;
#[derive(Clone, Debug, PartialEq, Eq)]
pub enum AttentionPreset {
Bert,
Gpt,
Longformer,
Performer,
FlashOptimized,
SwitchTransformer,
HyperbolicTree,
T5,
ViT,
SparseTransformer,
}
impl AttentionPreset {
pub fn builder(self, dim: usize) -> AttentionBuilder {
match self {
AttentionPreset::Bert => AttentionBuilder::new(dim).multi_head(12).dropout(0.1),
AttentionPreset::Gpt => AttentionBuilder::new(dim)
.multi_head(12)
.causal(true)
.dropout(0.1),
_ => AttentionBuilder::new(dim),
}
}
}
pub fn for_sequences(dim: usize, _max_len: usize) -> AttentionBuilder {
AttentionBuilder::new(dim)
}
pub fn for_graphs(dim: usize, _hierarchical: bool) -> AttentionBuilder {
AttentionBuilder::new(dim)
}
pub fn for_large_scale(dim: usize) -> AttentionBuilder {
AttentionBuilder::new(dim).flash(128)
}

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//! Sheaf Attention Layer
//!
//! Implements coherence-based attention where weights are inversely proportional
//! to residual energy:
//!
//! ```text
//! A_ij = exp(-beta * E_ij) / sum_k exp(-beta * E_ik)
//! ```
//!
//! ## Key Properties
//!
//! - High residual (incoherent) -> Low attention (don't propagate inconsistency)
//! - Low residual (coherent) -> High attention (reinforce consistency)
//! - Beta parameter controls temperature (higher = sharper attention)
use crate::error::{AttentionError, AttentionResult};
use crate::sheaf::restriction::RestrictionMap;
use crate::traits::Attention;
use crate::utils::stable_softmax;
use serde::{Deserialize, Serialize};
/// Configuration for sheaf attention
#[derive(Debug, Clone, Serialize, Deserialize)]
pub struct SheafAttentionConfig {
/// Model dimension
pub dim: usize,
/// Number of attention heads
pub num_heads: usize,
/// Temperature parameter (higher = sharper attention)
pub beta: f32,
/// Sparsity threshold for attention (skip if energy > threshold)
pub sparsity_threshold: Option<f32>,
/// Whether to use shared restriction maps across heads
pub shared_restrictions: bool,
/// Dropout probability (0.0 = no dropout)
pub dropout: f32,
}
impl Default for SheafAttentionConfig {
fn default() -> Self {
Self {
dim: 64,
num_heads: 1,
beta: 1.0,
sparsity_threshold: None,
shared_restrictions: false,
dropout: 0.0,
}
}
}
impl SheafAttentionConfig {
/// Create config with dimension
pub fn new(dim: usize) -> Self {
Self {
dim,
..Default::default()
}
}
/// Builder: set number of heads
pub fn with_num_heads(mut self, num_heads: usize) -> Self {
self.num_heads = num_heads;
self
}
/// Builder: set beta temperature
pub fn with_beta(mut self, beta: f32) -> Self {
self.beta = beta;
self
}
/// Builder: set sparsity threshold
pub fn with_sparsity_threshold(mut self, threshold: f32) -> Self {
self.sparsity_threshold = Some(threshold);
self
}
/// Builder: set shared restrictions
pub fn with_shared_restrictions(mut self, shared: bool) -> Self {
self.shared_restrictions = shared;
self
}
/// Builder: set dropout
pub fn with_dropout(mut self, dropout: f32) -> Self {
self.dropout = dropout;
self
}
/// Compute head dimension
pub fn head_dim(&self) -> usize {
self.dim / self.num_heads
}
/// Validate configuration
pub fn validate(&self) -> AttentionResult<()> {
if self.dim == 0 {
return Err(AttentionError::InvalidConfig(
"dimension must be positive".to_string(),
));
}
if self.num_heads == 0 {
return Err(AttentionError::InvalidConfig(
"num_heads must be positive".to_string(),
));
}
if self.dim % self.num_heads != 0 {
return Err(AttentionError::InvalidHeadCount {
dim: self.dim,
num_heads: self.num_heads,
});
}
if self.beta <= 0.0 {
return Err(AttentionError::InvalidConfig(
"beta must be positive".to_string(),
));
}
if self.dropout < 0.0 || self.dropout >= 1.0 {
return Err(AttentionError::InvalidConfig(
"dropout must be in [0, 1)".to_string(),
));
}
Ok(())
}
}
/// Sheaf Attention Layer
///
/// Uses restriction maps instead of learned QKV projections and computes
/// attention weights based on residual energy.
pub struct SheafAttention {
config: SheafAttentionConfig,
/// Restriction map for queries
rho_query: RestrictionMap,
/// Restriction map for keys
rho_key: RestrictionMap,
/// Restriction map for values
rho_value: RestrictionMap,
}
impl SheafAttention {
/// Create new sheaf attention layer
pub fn new(config: SheafAttentionConfig) -> Self {
let head_dim = config.head_dim();
let rho_query = RestrictionMap::new(config.dim, head_dim);
let rho_key = RestrictionMap::new(config.dim, head_dim);
let rho_value = RestrictionMap::new(config.dim, head_dim);
Self {
config,
rho_query,
rho_key,
rho_value,
}
}
/// Create with custom restriction maps
pub fn with_restriction_maps(
config: SheafAttentionConfig,
rho_query: RestrictionMap,
rho_key: RestrictionMap,
rho_value: RestrictionMap,
) -> Self {
Self {
config,
rho_query,
rho_key,
rho_value,
}
}
/// Get configuration
pub fn config(&self) -> &SheafAttentionConfig {
&self.config
}
/// Get query restriction map
pub fn rho_query(&self) -> &RestrictionMap {
&self.rho_query
}
/// Get key restriction map
pub fn rho_key(&self) -> &RestrictionMap {
&self.rho_key
}
/// Get value restriction map
pub fn rho_value(&self) -> &RestrictionMap {
&self.rho_value
}
/// Get mutable query restriction map (for training)
pub fn rho_query_mut(&mut self) -> &mut RestrictionMap {
&mut self.rho_query
}
/// Get mutable key restriction map (for training)
pub fn rho_key_mut(&mut self) -> &mut RestrictionMap {
&mut self.rho_key
}
/// Get mutable value restriction map (for training)
pub fn rho_value_mut(&mut self) -> &mut RestrictionMap {
&mut self.rho_value
}
/// Compute residual energy between query and key
///
/// E_qk = ||rho_q(q) - rho_k(k)||^2
pub fn compute_energy(&self, query: &[f32], key: &[f32]) -> AttentionResult<f32> {
let q_proj = self.rho_query.apply(query)?;
let k_proj = self.rho_key.apply(key)?;
let energy: f32 = q_proj
.iter()
.zip(k_proj.iter())
.map(|(&q, &k)| (q - k) * (q - k))
.sum();
Ok(energy)
}
/// Compute energy matrix for all query-key pairs
///
/// E[i,j] = ||rho_q(q_i) - rho_k(k_j)||^2
pub fn compute_energy_matrix(
&self,
queries: &[&[f32]],
keys: &[&[f32]],
) -> AttentionResult<Vec<f32>> {
let n_q = queries.len();
let n_k = keys.len();
// Project all queries and keys
let q_proj: Vec<Vec<f32>> = queries
.iter()
.map(|q| self.rho_query.apply(q))
.collect::<AttentionResult<_>>()?;
let k_proj: Vec<Vec<f32>> = keys
.iter()
.map(|k| self.rho_key.apply(k))
.collect::<AttentionResult<_>>()?;
// Compute pairwise energies
let mut energies = vec![0.0; n_q * n_k];
for i in 0..n_q {
for j in 0..n_k {
let energy: f32 = q_proj[i]
.iter()
.zip(k_proj[j].iter())
.map(|(&q, &k)| (q - k) * (q - k))
.sum();
energies[i * n_k + j] = energy;
}
}
Ok(energies)
}
/// Convert energy matrix to attention weights
///
/// A_ij = exp(-beta * E_ij) / Z
pub fn energy_to_attention(&self, energies: &[f32], n_keys: usize) -> Vec<f32> {
let n_queries = energies.len() / n_keys;
let mut weights = Vec::with_capacity(energies.len());
for i in 0..n_queries {
let row_start = i * n_keys;
let row = &energies[row_start..row_start + n_keys];
// Apply sparsity threshold if configured
let masked_logits: Vec<f32> = if let Some(threshold) = self.config.sparsity_threshold {
row.iter()
.map(|&e| {
if e > threshold {
f32::NEG_INFINITY // Mask out high-energy pairs
} else {
-self.config.beta * e
}
})
.collect()
} else {
row.iter().map(|&e| -self.config.beta * e).collect()
};
let row_weights = stable_softmax(&masked_logits);
weights.extend(row_weights);
}
weights
}
/// Compute sheaf attention output
///
/// 1. Project queries and keys through restriction maps
/// 2. Compute residual energy matrix
/// 3. Convert to attention weights: exp(-beta * E) / Z
/// 4. Weight values and sum
pub fn forward(
&self,
query: &[f32],
keys: &[&[f32]],
values: &[&[f32]],
) -> AttentionResult<(Vec<f32>, Vec<f32>)> {
if keys.len() != values.len() {
return Err(AttentionError::DimensionMismatch {
expected: keys.len(),
actual: values.len(),
});
}
if keys.is_empty() {
return Err(AttentionError::EmptyInput(
"keys cannot be empty".to_string(),
));
}
let n_keys = keys.len();
// Compute energies for this query against all keys
let mut energies = Vec::with_capacity(n_keys);
for key in keys {
energies.push(self.compute_energy(query, key)?);
}
// Convert to attention weights
let logits: Vec<f32> = if let Some(threshold) = self.config.sparsity_threshold {
energies
.iter()
.map(|&e| {
if e > threshold {
f32::NEG_INFINITY
} else {
-self.config.beta * e
}
})
.collect()
} else {
energies.iter().map(|&e| -self.config.beta * e).collect()
};
let attention_weights = stable_softmax(&logits);
// Project values and compute weighted sum
let v_proj: Vec<Vec<f32>> = values
.iter()
.map(|v| self.rho_value.apply(v))
.collect::<AttentionResult<_>>()?;
let head_dim = self.config.head_dim();
let mut output = vec![0.0; head_dim];
for (weight, v) in attention_weights.iter().zip(v_proj.iter()) {
for (out, &val) in output.iter_mut().zip(v.iter()) {
*out += weight * val;
}
}
Ok((output, attention_weights))
}
/// Compute total energy for a token (sum over all keys)
///
/// E_i = sum_j E_ij
pub fn token_energy(&self, query: &[f32], keys: &[&[f32]]) -> AttentionResult<f32> {
let mut total_energy = 0.0;
for key in keys {
total_energy += self.compute_energy(query, key)?;
}
Ok(total_energy)
}
/// Compute average energy for a token
///
/// E_avg = (1/N) * sum_j E_ij
pub fn average_token_energy(&self, query: &[f32], keys: &[&[f32]]) -> AttentionResult<f32> {
if keys.is_empty() {
return Ok(0.0);
}
Ok(self.token_energy(query, keys)? / keys.len() as f32)
}
}
impl Attention for SheafAttention {
fn compute(
&self,
query: &[f32],
keys: &[&[f32]],
values: &[&[f32]],
) -> AttentionResult<Vec<f32>> {
let (output, _weights) = self.forward(query, keys, values)?;
Ok(output)
}
fn compute_with_mask(
&self,
query: &[f32],
keys: &[&[f32]],
values: &[&[f32]],
mask: Option<&[bool]>,
) -> AttentionResult<Vec<f32>> {
if keys.len() != values.len() {
return Err(AttentionError::DimensionMismatch {
expected: keys.len(),
actual: values.len(),
});
}
if keys.is_empty() {
return Err(AttentionError::EmptyInput(
"keys cannot be empty".to_string(),
));
}
let n_keys = keys.len();
// Compute energies
let mut energies = Vec::with_capacity(n_keys);
for key in keys {
energies.push(self.compute_energy(query, key)?);
}
// Apply mask and convert to logits
let logits: Vec<f32> = if let Some(m) = mask {
if m.len() != n_keys {
return Err(AttentionError::InvalidMask {
expected: n_keys.to_string(),
actual: m.len().to_string(),
});
}
energies
.iter()
.zip(m.iter())
.map(|(&e, &keep)| {
if !keep {
f32::NEG_INFINITY
} else if let Some(threshold) = self.config.sparsity_threshold {
if e > threshold {
f32::NEG_INFINITY
} else {
-self.config.beta * e
}
} else {
-self.config.beta * e
}
})
.collect()
} else if let Some(threshold) = self.config.sparsity_threshold {
energies
.iter()
.map(|&e| {
if e > threshold {
f32::NEG_INFINITY
} else {
-self.config.beta * e
}
})
.collect()
} else {
energies.iter().map(|&e| -self.config.beta * e).collect()
};
let attention_weights = stable_softmax(&logits);
// Project values and compute weighted sum
let v_proj: Vec<Vec<f32>> = values
.iter()
.map(|v| self.rho_value.apply(v))
.collect::<AttentionResult<_>>()?;
let head_dim = self.config.head_dim();
let mut output = vec![0.0; head_dim];
for (weight, v) in attention_weights.iter().zip(v_proj.iter()) {
for (out, &val) in output.iter_mut().zip(v.iter()) {
*out += weight * val;
}
}
Ok(output)
}
fn dim(&self) -> usize {
self.config.dim
}
fn num_heads(&self) -> usize {
self.config.num_heads
}
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn test_config_default() {
let config = SheafAttentionConfig::default();
assert_eq!(config.dim, 64);
assert_eq!(config.num_heads, 1);
assert_eq!(config.beta, 1.0);
assert!(config.sparsity_threshold.is_none());
}
#[test]
fn test_config_builder() {
let config = SheafAttentionConfig::new(128)
.with_num_heads(4)
.with_beta(2.0)
.with_sparsity_threshold(0.5)
.with_dropout(0.1);
assert_eq!(config.dim, 128);
assert_eq!(config.num_heads, 4);
assert_eq!(config.head_dim(), 32);
assert_eq!(config.beta, 2.0);
assert_eq!(config.sparsity_threshold, Some(0.5));
assert_eq!(config.dropout, 0.1);
}
#[test]
fn test_config_validation() {
assert!(SheafAttentionConfig::new(64).validate().is_ok());
assert!(SheafAttentionConfig::new(64)
.with_num_heads(3)
.validate()
.is_err()); // 64 not divisible by 3
assert!(SheafAttentionConfig::new(64)
.with_beta(-1.0)
.validate()
.is_err());
}
#[test]
fn test_sheaf_attention_creation() {
let config = SheafAttentionConfig::new(64).with_num_heads(4);
let attention = SheafAttention::new(config);
assert_eq!(attention.dim(), 64);
assert_eq!(attention.num_heads(), 4);
}
#[test]
fn test_compute_energy() {
let config = SheafAttentionConfig::new(8);
let attention = SheafAttention::new(config);
let q = vec![1.0; 8];
let k = vec![1.0; 8];
let energy = attention.compute_energy(&q, &k).unwrap();
assert!(energy >= 0.0); // Energy is non-negative
}
#[test]
fn test_energy_zero_for_identical() {
// With identity-like restriction maps, identical vectors should have low energy
let config = SheafAttentionConfig::new(4);
let rho = RestrictionMap::identity(4);
let attention =
SheafAttention::with_restriction_maps(config, rho.clone(), rho.clone(), rho);
let v = vec![1.0, 2.0, 3.0, 4.0];
let energy = attention.compute_energy(&v, &v).unwrap();
assert!(energy.abs() < 1e-6);
}
#[test]
fn test_forward() {
let config = SheafAttentionConfig::new(8);
let attention = SheafAttention::new(config);
let query = vec![1.0; 8];
let k1 = vec![1.0; 8];
let k2 = vec![0.5; 8];
let v1 = vec![1.0; 8];
let v2 = vec![2.0; 8];
let keys: Vec<&[f32]> = vec![&k1, &k2];
let values: Vec<&[f32]> = vec![&v1, &v2];
let (output, weights) = attention.forward(&query, &keys, &values).unwrap();
// Output should be head_dim
assert_eq!(output.len(), 8);
// Weights should sum to 1
let weight_sum: f32 = weights.iter().sum();
assert!((weight_sum - 1.0).abs() < 1e-5);
}
#[test]
fn test_attention_trait() {
let config = SheafAttentionConfig::new(8);
let attention = SheafAttention::new(config);
let query = vec![1.0; 8];
let k1 = vec![1.0; 8];
let k2 = vec![0.5; 8];
let v1 = vec![1.0; 8];
let v2 = vec![2.0; 8];
let keys: Vec<&[f32]> = vec![&k1, &k2];
let values: Vec<&[f32]> = vec![&v1, &v2];
let output = attention.compute(&query, &keys, &values).unwrap();
assert_eq!(output.len(), 8);
}
#[test]
fn test_attention_with_mask() {
let config = SheafAttentionConfig::new(8);
let attention = SheafAttention::new(config);
let query = vec![1.0; 8];
let k1 = vec![1.0; 8];
let k2 = vec![0.5; 8];
let v1 = vec![1.0; 8];
let v2 = vec![2.0; 8];
let keys: Vec<&[f32]> = vec![&k1, &k2];
let values: Vec<&[f32]> = vec![&v1, &v2];
let mask = vec![true, false]; // Only attend to first key
let output = attention
.compute_with_mask(&query, &keys, &values, Some(&mask))
.unwrap();
assert_eq!(output.len(), 8);
}
#[test]
fn test_sparsity_threshold() {
let config = SheafAttentionConfig::new(8).with_sparsity_threshold(0.1);
let attention = SheafAttention::new(config);
let query = vec![1.0; 8];
let k1 = vec![1.0; 8];
let k2 = vec![100.0; 8]; // Very different - high energy
let v1 = vec![1.0; 8];
let v2 = vec![2.0; 8];
let keys: Vec<&[f32]> = vec![&k1, &k2];
let values: Vec<&[f32]> = vec![&v1, &v2];
let (_output, weights) = attention.forward(&query, &keys, &values).unwrap();
// Second key should have near-zero weight due to high energy
// (depends on initialization, but the masked one should be lower)
assert!(weights[0] > weights[1]);
}
#[test]
fn test_token_energy() {
let config = SheafAttentionConfig::new(8);
let attention = SheafAttention::new(config);
let query = vec![1.0; 8];
let k1 = vec![1.0; 8];
let k2 = vec![0.5; 8];
let keys: Vec<&[f32]> = vec![&k1, &k2];
let total_energy = attention.token_energy(&query, &keys).unwrap();
let avg_energy = attention.average_token_energy(&query, &keys).unwrap();
assert!(total_energy >= 0.0);
assert!((avg_energy - total_energy / 2.0).abs() < 1e-6);
}
#[test]
fn test_beta_effect() {
// Higher beta = sharper attention (more peaked distribution)
let config_low = SheafAttentionConfig::new(8).with_beta(0.1);
let config_high = SheafAttentionConfig::new(8).with_beta(10.0);
// Use same restriction maps
let rho = RestrictionMap::new(8, 8);
let attention_low = SheafAttention::with_restriction_maps(
config_low,
rho.clone(),
rho.clone(),
rho.clone(),
);
let attention_high =
SheafAttention::with_restriction_maps(config_high, rho.clone(), rho.clone(), rho);
let query = vec![1.0; 8];
let k1 = vec![1.0; 8];
let k2 = vec![0.5; 8];
let v1 = vec![1.0; 8];
let v2 = vec![2.0; 8];
let keys: Vec<&[f32]> = vec![&k1, &k2];
let values: Vec<&[f32]> = vec![&v1, &v2];
let (_out_low, weights_low) = attention_low.forward(&query, &keys, &values).unwrap();
let (_out_high, weights_high) = attention_high.forward(&query, &keys, &values).unwrap();
// High beta should have more peaked distribution
let max_low = weights_low.iter().cloned().fold(0.0f32, f32::max);
let max_high = weights_high.iter().cloned().fold(0.0f32, f32::max);
assert!(max_high >= max_low);
}
}

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//! Energy-Based Early Exit
//!
//! Implements early exit based on energy convergence rather than confidence thresholds.
//!
//! ## Key Insight
//!
//! Traditional early exit uses confidence (max softmax probability) which can be
//! confidently wrong. Energy convergence is more principled:
//!
//! - If energy stops changing, further layers won't help
//! - Energy provides a geometric measure of consistency
//! - Works naturally with sheaf attention
//!
//! ## Exit Criterion
//!
//! Exit when: |E_current - E_previous| < epsilon
//!
//! This means the representation has stabilized and further processing
//! is unlikely to improve coherence.
use crate::error::{AttentionError, AttentionResult};
use serde::{Deserialize, Serialize};
/// Configuration for energy-based early exit
#[derive(Debug, Clone, Serialize, Deserialize)]
pub struct EarlyExitConfig {
/// Energy convergence threshold (exit if delta < epsilon)
pub epsilon: f32,
/// Minimum layers to process before considering exit
pub min_layers: usize,
/// Maximum layers (hard limit)
pub max_layers: usize,
/// Number of consecutive converged steps required
pub patience: usize,
/// Whether to track energy history
pub track_history: bool,
/// Exponential moving average smoothing factor (0 = no smoothing)
pub ema_alpha: f32,
}
impl Default for EarlyExitConfig {
fn default() -> Self {
Self {
epsilon: 0.001,
min_layers: 2,
max_layers: 12,
patience: 1,
track_history: true,
ema_alpha: 0.0,
}
}
}
impl EarlyExitConfig {
/// Create config with epsilon
pub fn new(epsilon: f32) -> Self {
Self {
epsilon,
..Default::default()
}
}
/// Builder: set epsilon
pub fn with_epsilon(mut self, epsilon: f32) -> Self {
self.epsilon = epsilon;
self
}
/// Builder: set minimum layers
pub fn with_min_layers(mut self, min: usize) -> Self {
self.min_layers = min;
self
}
/// Builder: set maximum layers
pub fn with_max_layers(mut self, max: usize) -> Self {
self.max_layers = max;
self
}
/// Builder: set patience
pub fn with_patience(mut self, patience: usize) -> Self {
self.patience = patience;
self
}
/// Builder: set history tracking
pub fn with_track_history(mut self, track: bool) -> Self {
self.track_history = track;
self
}
/// Builder: set EMA smoothing
pub fn with_ema_alpha(mut self, alpha: f32) -> Self {
self.ema_alpha = alpha.clamp(0.0, 1.0);
self
}
/// Validate configuration
pub fn validate(&self) -> AttentionResult<()> {
if self.epsilon <= 0.0 {
return Err(AttentionError::InvalidConfig(
"epsilon must be positive".to_string(),
));
}
if self.min_layers > self.max_layers {
return Err(AttentionError::InvalidConfig(
"min_layers cannot exceed max_layers".to_string(),
));
}
if self.patience == 0 {
return Err(AttentionError::InvalidConfig(
"patience must be at least 1".to_string(),
));
}
Ok(())
}
}
/// Result of early exit check
#[derive(Debug, Clone)]
pub struct EarlyExitResult {
/// Whether to exit early
pub should_exit: bool,
/// Current layer index (0-indexed)
pub layer_index: usize,
/// Current energy value
pub current_energy: f32,
/// Energy delta from previous layer
pub energy_delta: f32,
/// Number of consecutive converged steps
pub converged_steps: usize,
/// Exit reason (if exiting)
pub exit_reason: Option<ExitReason>,
}
/// Reason for early exit
#[derive(Debug, Clone, Copy, PartialEq, Eq)]
pub enum ExitReason {
/// Energy converged (delta < epsilon)
EnergyConverged,
/// Reached maximum layers
MaxLayersReached,
/// Energy is zero (perfectly coherent)
PerfectCoherence,
}
impl ExitReason {
/// Human-readable description
pub fn description(&self) -> &'static str {
match self {
Self::EnergyConverged => "Energy converged below threshold",
Self::MaxLayersReached => "Reached maximum layer count",
Self::PerfectCoherence => "Achieved perfect coherence (zero energy)",
}
}
}
/// Energy-based early exit tracker
#[derive(Debug, Clone)]
pub struct EarlyExit {
config: EarlyExitConfig,
/// Energy history across layers
energy_history: Vec<f32>,
/// EMA-smoothed energy (if enabled)
ema_energy: Option<f32>,
/// Count of consecutive converged steps
converged_count: usize,
/// Current layer index
current_layer: usize,
}
impl EarlyExit {
/// Create new early exit tracker
pub fn new(config: EarlyExitConfig) -> Self {
Self {
config,
energy_history: Vec::new(),
ema_energy: None,
converged_count: 0,
current_layer: 0,
}
}
/// Create with default configuration
pub fn default_tracker() -> Self {
Self::new(EarlyExitConfig::default())
}
/// Reset tracker for new sequence
pub fn reset(&mut self) {
self.energy_history.clear();
self.ema_energy = None;
self.converged_count = 0;
self.current_layer = 0;
}
/// Get configuration
pub fn config(&self) -> &EarlyExitConfig {
&self.config
}
/// Get mutable configuration
pub fn config_mut(&mut self) -> &mut EarlyExitConfig {
&mut self.config
}
/// Get energy history
pub fn energy_history(&self) -> &[f32] {
&self.energy_history
}
/// Get current layer index
pub fn current_layer(&self) -> usize {
self.current_layer
}
/// Check if should exit after processing a layer
///
/// # Arguments
///
/// * `energy` - Energy computed after the current layer
///
/// # Returns
///
/// Early exit result with decision and diagnostics
pub fn check(&mut self, energy: f32) -> EarlyExitResult {
let layer_index = self.current_layer;
self.current_layer += 1;
// Update EMA if enabled
let effective_energy = if self.config.ema_alpha > 0.0 {
let ema = self.ema_energy.unwrap_or(energy);
let new_ema = self.config.ema_alpha * energy + (1.0 - self.config.ema_alpha) * ema;
self.ema_energy = Some(new_ema);
new_ema
} else {
energy
};
// Compute delta from previous
let prev_energy = self.energy_history.last().copied().unwrap_or(f32::INFINITY);
let energy_delta = (effective_energy - prev_energy).abs();
// Track history if enabled
if self.config.track_history {
self.energy_history.push(effective_energy);
}
// Check for perfect coherence
if effective_energy < 1e-10 {
return EarlyExitResult {
should_exit: true,
layer_index,
current_energy: effective_energy,
energy_delta,
converged_steps: self.converged_count + 1,
exit_reason: Some(ExitReason::PerfectCoherence),
};
}
// Check minimum layers
if layer_index < self.config.min_layers {
return EarlyExitResult {
should_exit: false,
layer_index,
current_energy: effective_energy,
energy_delta,
converged_steps: 0,
exit_reason: None,
};
}
// Check maximum layers
if layer_index >= self.config.max_layers - 1 {
return EarlyExitResult {
should_exit: true,
layer_index,
current_energy: effective_energy,
energy_delta,
converged_steps: self.converged_count,
exit_reason: Some(ExitReason::MaxLayersReached),
};
}
// Check convergence
if energy_delta < self.config.epsilon {
self.converged_count += 1;
} else {
self.converged_count = 0;
}
// Check if converged for enough steps
if self.converged_count >= self.config.patience {
return EarlyExitResult {
should_exit: true,
layer_index,
current_energy: effective_energy,
energy_delta,
converged_steps: self.converged_count,
exit_reason: Some(ExitReason::EnergyConverged),
};
}
EarlyExitResult {
should_exit: false,
layer_index,
current_energy: effective_energy,
energy_delta,
converged_steps: self.converged_count,
exit_reason: None,
}
}
/// Get statistics about the exit decision
pub fn statistics(&self) -> EarlyExitStatistics {
let total_layers = self.current_layer;
let max_possible = self.config.max_layers;
let energy_reduction = if self.energy_history.len() >= 2 {
let first = self.energy_history.first().copied().unwrap_or(0.0);
let last = self.energy_history.last().copied().unwrap_or(0.0);
if first > 1e-10 {
(first - last) / first
} else {
0.0
}
} else {
0.0
};
let avg_delta = if self.energy_history.len() >= 2 {
let deltas: Vec<f32> = self
.energy_history
.windows(2)
.map(|w| (w[1] - w[0]).abs())
.collect();
deltas.iter().sum::<f32>() / deltas.len() as f32
} else {
0.0
};
EarlyExitStatistics {
layers_used: total_layers,
max_layers: max_possible,
layers_saved: max_possible.saturating_sub(total_layers),
speedup_ratio: if total_layers > 0 {
max_possible as f32 / total_layers as f32
} else {
1.0
},
energy_reduction,
average_delta: avg_delta,
final_energy: self.energy_history.last().copied().unwrap_or(0.0),
}
}
}
/// Statistics about early exit behavior
#[derive(Debug, Clone)]
pub struct EarlyExitStatistics {
/// Number of layers actually processed
pub layers_used: usize,
/// Maximum possible layers
pub max_layers: usize,
/// Layers saved by early exit
pub layers_saved: usize,
/// Speedup ratio (max_layers / layers_used)
pub speedup_ratio: f32,
/// Relative energy reduction from first to last layer
pub energy_reduction: f32,
/// Average energy delta across layers
pub average_delta: f32,
/// Final energy value
pub final_energy: f32,
}
/// Process layers with early exit
///
/// Generic function that processes layers until early exit condition is met.
pub fn process_with_early_exit<F, T>(
initial_state: T,
layers: &[F],
config: EarlyExitConfig,
energy_fn: impl Fn(&T) -> f32,
) -> (T, EarlyExitResult)
where
F: Fn(T) -> T,
T: Clone,
{
let mut tracker = EarlyExit::new(config);
let mut state = initial_state;
for layer in layers {
// Process layer
state = layer(state);
// Compute energy
let energy = energy_fn(&state);
// Check early exit
let result = tracker.check(energy);
if result.should_exit {
return (state, result);
}
}
// Processed all layers
let final_energy = energy_fn(&state);
let final_result = EarlyExitResult {
should_exit: true,
layer_index: layers.len(),
current_energy: final_energy,
energy_delta: 0.0,
converged_steps: 0,
exit_reason: Some(ExitReason::MaxLayersReached),
};
(state, final_result)
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn test_config_default() {
let config = EarlyExitConfig::default();
assert!(config.epsilon > 0.0);
assert!(config.min_layers < config.max_layers);
assert!(config.patience > 0);
}
#[test]
fn test_config_builder() {
let config = EarlyExitConfig::new(0.01)
.with_min_layers(3)
.with_max_layers(10)
.with_patience(2)
.with_ema_alpha(0.1);
assert_eq!(config.epsilon, 0.01);
assert_eq!(config.min_layers, 3);
assert_eq!(config.max_layers, 10);
assert_eq!(config.patience, 2);
assert_eq!(config.ema_alpha, 0.1);
}
#[test]
fn test_config_validation() {
assert!(EarlyExitConfig::default().validate().is_ok());
let bad_config = EarlyExitConfig {
epsilon: -1.0,
..Default::default()
};
assert!(bad_config.validate().is_err());
let bad_config = EarlyExitConfig {
min_layers: 10,
max_layers: 5,
..Default::default()
};
assert!(bad_config.validate().is_err());
}
#[test]
fn test_early_exit_creation() {
let tracker = EarlyExit::default_tracker();
assert_eq!(tracker.current_layer(), 0);
assert!(tracker.energy_history().is_empty());
}
#[test]
fn test_early_exit_reset() {
let mut tracker = EarlyExit::default_tracker();
tracker.check(1.0);
tracker.check(0.5);
assert_eq!(tracker.current_layer(), 2);
tracker.reset();
assert_eq!(tracker.current_layer(), 0);
assert!(tracker.energy_history().is_empty());
}
#[test]
fn test_min_layers_respected() {
let config = EarlyExitConfig::default()
.with_min_layers(3)
.with_epsilon(0.1);
let mut tracker = EarlyExit::new(config);
// Even with converged energy, shouldn't exit before min_layers
// Note: Using non-zero energy (0.001) to avoid PerfectCoherence early exit
// which takes precedence over min_layers (as it should - zero energy means done)
let result = tracker.check(0.001);
assert!(!result.should_exit);
assert_eq!(result.layer_index, 0);
// Same small energy = converged, but still before min_layers
let result = tracker.check(0.001);
assert!(!result.should_exit);
assert_eq!(result.layer_index, 1);
// Still before min_layers
let _result = tracker.check(0.001);
}
#[test]
fn test_max_layers_enforced() {
let config = EarlyExitConfig::default()
.with_max_layers(3)
.with_min_layers(1);
let mut tracker = EarlyExit::new(config);
tracker.check(10.0); // Layer 0
tracker.check(5.0); // Layer 1
let result = tracker.check(2.5); // Layer 2 = max - 1
assert!(result.should_exit);
assert_eq!(result.exit_reason, Some(ExitReason::MaxLayersReached));
}
#[test]
fn test_energy_convergence() {
let config = EarlyExitConfig::default()
.with_epsilon(0.1)
.with_min_layers(1)
.with_patience(1);
let mut tracker = EarlyExit::new(config);
tracker.check(1.0); // Layer 0
// Energy change > epsilon
let result = tracker.check(0.5); // Layer 1
assert!(!result.should_exit);
// Energy change < epsilon (converged)
let result = tracker.check(0.49); // Layer 2
assert!(result.should_exit);
assert_eq!(result.exit_reason, Some(ExitReason::EnergyConverged));
}
#[test]
fn test_patience() {
let config = EarlyExitConfig::default()
.with_epsilon(0.1)
.with_min_layers(1)
.with_patience(2);
let mut tracker = EarlyExit::new(config);
tracker.check(1.0); // Layer 0
// First converged step
let result = tracker.check(1.0); // Layer 1
assert!(!result.should_exit);
assert_eq!(result.converged_steps, 1);
// Second converged step (patience = 2)
let result = tracker.check(1.0); // Layer 2
assert!(result.should_exit);
assert_eq!(result.converged_steps, 2);
}
#[test]
fn test_perfect_coherence() {
let config = EarlyExitConfig::default().with_min_layers(1);
let mut tracker = EarlyExit::new(config);
tracker.check(1.0);
let result = tracker.check(0.0);
assert!(result.should_exit);
assert_eq!(result.exit_reason, Some(ExitReason::PerfectCoherence));
}
#[test]
fn test_ema_smoothing() {
let config = EarlyExitConfig::default()
.with_ema_alpha(0.5)
.with_track_history(true);
let mut tracker = EarlyExit::new(config);
tracker.check(1.0);
let result = tracker.check(0.0);
// With EMA alpha = 0.5: new_ema = 0.5 * 0.0 + 0.5 * 1.0 = 0.5
// So history should show smoothed value
assert!(tracker.energy_history().len() >= 2);
}
#[test]
fn test_statistics() {
let config = EarlyExitConfig::default()
.with_max_layers(10)
.with_min_layers(1)
.with_epsilon(0.1);
let mut tracker = EarlyExit::new(config);
tracker.check(1.0);
tracker.check(0.5);
tracker.check(0.25);
tracker.check(0.24); // Should exit here
let stats = tracker.statistics();
assert_eq!(stats.layers_used, 4);
assert_eq!(stats.max_layers, 10);
assert_eq!(stats.layers_saved, 6);
assert!(stats.speedup_ratio > 1.0);
assert!(stats.energy_reduction > 0.0);
}
#[test]
fn test_process_with_early_exit() {
let config = EarlyExitConfig::default()
.with_epsilon(0.1)
.with_min_layers(1)
.with_max_layers(10);
// Create "layers" that halve the energy each time
let layers: Vec<Box<dyn Fn(f32) -> f32>> = (0..10)
.map(|_| Box::new(|x: f32| x * 0.5) as Box<dyn Fn(f32) -> f32>)
.collect();
let layer_refs: Vec<&dyn Fn(f32) -> f32> = layers.iter().map(|f| f.as_ref()).collect();
// This is a simplified test using closures
let mut tracker = EarlyExit::new(config);
let mut state = 10.0f32;
for layer in &layer_refs {
state = layer(state);
let result = tracker.check(state);
if result.should_exit {
break;
}
}
// Should have exited before processing all 10 layers
assert!(tracker.current_layer() < 10);
}
#[test]
fn test_exit_reason_descriptions() {
assert!(!ExitReason::EnergyConverged.description().is_empty());
assert!(!ExitReason::MaxLayersReached.description().is_empty());
assert!(!ExitReason::PerfectCoherence.description().is_empty());
}
}

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//! Sheaf Attention Module
//!
//! Implements Coherence-Gated Transformer (CGT) attention mechanisms based on ADR-015.
//!
//! ## Key Concepts
//!
//! - **Sheaf Attention**: Attention weights inversely proportional to residual energy
//! - **Restriction Maps**: Replace learned W_q, W_k, W_v projections with geometric maps
//! - **Token Routing**: Route tokens to compute lanes based on coherence energy
//! - **Residual-Sparse Attention**: Only attend to high-residual (incoherent) pairs
//! - **Energy-Based Early Exit**: Exit when energy converges, not confidence threshold
//!
//! ## Mathematical Foundation
//!
//! Given tokens X = {x_1, ..., x_N} and restriction maps rho_i, rho_j:
//!
//! ```text
//! Residual: r_ij = rho_i(x_i) - rho_j(x_j)
//! Edge energy: E_ij = w_ij * ||r_ij||^2
//! Token energy: E_i = sum_j E_ij
//! Attention: A_ij = exp(-beta * E_ij) / Z
//! ```
//!
//! ## Example
//!
//! ```rust
//! use ruvector_attention::sheaf::{
//! SheafAttention, SheafAttentionConfig,
//! RestrictionMap, ComputeLane, TokenRouter,
//! };
//!
//! // Create sheaf attention with default config
//! let config = SheafAttentionConfig::default();
//! let attention = SheafAttention::new(config);
//!
//! // Create restriction maps for QKV
//! let rho_q = RestrictionMap::new(64, 64);
//! let rho_k = RestrictionMap::new(64, 64);
//! let rho_v = RestrictionMap::new(64, 64);
//! ```
mod attention;
mod early_exit;
mod restriction;
mod router;
mod sparse;
pub use attention::{SheafAttention, SheafAttentionConfig};
pub use early_exit::{
process_with_early_exit, EarlyExit, EarlyExitConfig, EarlyExitResult, EarlyExitStatistics,
ExitReason,
};
pub use restriction::{RestrictionMap, RestrictionMapConfig};
pub use router::{ComputeLane, LaneStatistics, RoutingDecision, TokenRouter, TokenRouterConfig};
pub use sparse::{
ResidualSparseMask, SparseResidualAttention, SparseResidualConfig, SparsityStatistics,
};
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn test_module_exports() {
// Verify all public types are accessible
let config = SheafAttentionConfig::default();
assert!(config.beta > 0.0);
let rmap_config = RestrictionMapConfig::default();
assert!(rmap_config.input_dim > 0);
let router_config = TokenRouterConfig::default();
assert!(router_config.theta_reflex > 0.0);
let early_exit_config = EarlyExitConfig::default();
assert!(early_exit_config.epsilon > 0.0);
let sparse_config = SparseResidualConfig::default();
assert!(sparse_config.residual_threshold > 0.0);
}
#[test]
fn test_compute_lane_ordering() {
assert!(ComputeLane::Reflex < ComputeLane::Standard);
assert!(ComputeLane::Standard < ComputeLane::Deep);
assert!(ComputeLane::Deep < ComputeLane::Escalate);
}
}

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//! Restriction Maps for Sheaf Attention
//!
//! Restriction maps replace traditional learned W_q, W_k, W_v projections
//! with geometrically meaningful transformations.
//!
//! ## Mathematical Foundation
//!
//! A restriction map rho: V_U -> V_u projects from a larger stalk to a smaller one:
//!
//! ```text
//! Linear restriction: rho(x) = Ax + b
//! Residual: r = rho_i(x_i) - rho_j(x_j)
//! Energy: E = ||r||^2
//! ```
//!
//! ## Benefits
//!
//! - Geometric meaning: projects to shared semantic space
//! - Interpretable residuals: measure semantic mismatch
//! - Can be initialized from domain knowledge
//! - Residual energy provides natural attention weighting
use crate::error::{AttentionError, AttentionResult};
use serde::{Deserialize, Serialize};
/// Configuration for restriction map
#[derive(Debug, Clone, Serialize, Deserialize)]
pub struct RestrictionMapConfig {
/// Input dimension (stalk dimension at source)
pub input_dim: usize,
/// Output dimension (stalk dimension at target)
pub output_dim: usize,
/// Whether to include bias term
pub use_bias: bool,
/// Initialization scale (Xavier scaling)
pub init_scale: Option<f32>,
}
impl Default for RestrictionMapConfig {
fn default() -> Self {
Self {
input_dim: 64,
output_dim: 64,
use_bias: true,
init_scale: None,
}
}
}
impl RestrictionMapConfig {
/// Create config with specified dimensions
pub fn new(input_dim: usize, output_dim: usize) -> Self {
Self {
input_dim,
output_dim,
..Default::default()
}
}
/// Builder pattern: set input dimension
pub fn with_input_dim(mut self, dim: usize) -> Self {
self.input_dim = dim;
self
}
/// Builder pattern: set output dimension
pub fn with_output_dim(mut self, dim: usize) -> Self {
self.output_dim = dim;
self
}
/// Builder pattern: set bias usage
pub fn with_bias(mut self, use_bias: bool) -> Self {
self.use_bias = use_bias;
self
}
/// Builder pattern: set initialization scale
pub fn with_init_scale(mut self, scale: f32) -> Self {
self.init_scale = Some(scale);
self
}
}
/// Linear restriction map: rho(x) = Ax + b
///
/// Projects vectors from one stalk to another, preserving geometric
/// relationships while allowing dimension changes.
#[derive(Debug, Clone)]
pub struct RestrictionMap {
/// Weight matrix A: [output_dim x input_dim] stored row-major
weights: Vec<f32>,
/// Bias vector b: [output_dim]
bias: Option<Vec<f32>>,
/// Input dimension
input_dim: usize,
/// Output dimension
output_dim: usize,
}
impl RestrictionMap {
/// Create a new restriction map with Xavier initialization
pub fn new(input_dim: usize, output_dim: usize) -> Self {
Self::from_config(RestrictionMapConfig::new(input_dim, output_dim))
}
/// Create from configuration
pub fn from_config(config: RestrictionMapConfig) -> Self {
let scale = config
.init_scale
.unwrap_or_else(|| (2.0 / (config.input_dim + config.output_dim) as f32).sqrt());
// Deterministic pseudo-random initialization
let mut seed = 42u64;
let weights: Vec<f32> = (0..config.output_dim * config.input_dim)
.map(|_| {
seed = seed.wrapping_mul(6364136223846793005).wrapping_add(1);
let u = (seed as f32) / (u64::MAX as f32);
(u - 0.5) * 2.0 * scale
})
.collect();
let bias = if config.use_bias {
Some(vec![0.0; config.output_dim])
} else {
None
};
Self {
weights,
bias,
input_dim: config.input_dim,
output_dim: config.output_dim,
}
}
/// Create identity-like restriction map (for same dimension)
pub fn identity(dim: usize) -> Self {
let mut weights = vec![0.0; dim * dim];
for i in 0..dim {
weights[i * dim + i] = 1.0;
}
Self {
weights,
bias: None,
input_dim: dim,
output_dim: dim,
}
}
/// Create from existing weights
pub fn from_weights(
weights: Vec<f32>,
bias: Option<Vec<f32>>,
input_dim: usize,
output_dim: usize,
) -> AttentionResult<Self> {
if weights.len() != output_dim * input_dim {
return Err(AttentionError::DimensionMismatch {
expected: output_dim * input_dim,
actual: weights.len(),
});
}
if let Some(ref b) = bias {
if b.len() != output_dim {
return Err(AttentionError::DimensionMismatch {
expected: output_dim,
actual: b.len(),
});
}
}
Ok(Self {
weights,
bias,
input_dim,
output_dim,
})
}
/// Apply restriction map: rho(x) = Ax + b
///
/// # Arguments
///
/// * `x` - Input vector of shape [input_dim]
///
/// # Returns
///
/// Output vector of shape [output_dim]
pub fn apply(&self, x: &[f32]) -> AttentionResult<Vec<f32>> {
if x.len() != self.input_dim {
return Err(AttentionError::DimensionMismatch {
expected: self.input_dim,
actual: x.len(),
});
}
// Matrix-vector multiplication: y = Ax
let mut y = vec![0.0; self.output_dim];
for i in 0..self.output_dim {
let row_start = i * self.input_dim;
y[i] = x
.iter()
.enumerate()
.map(|(j, &xj)| self.weights[row_start + j] * xj)
.sum();
}
// Add bias: y = Ax + b
if let Some(ref b) = self.bias {
for (yi, bi) in y.iter_mut().zip(b.iter()) {
*yi += bi;
}
}
Ok(y)
}
/// Apply restriction map to batch of vectors
///
/// # Arguments
///
/// * `batch` - Batch of input vectors
///
/// # Returns
///
/// Batch of output vectors
pub fn apply_batch(&self, batch: &[&[f32]]) -> AttentionResult<Vec<Vec<f32>>> {
batch.iter().map(|x| self.apply(x)).collect()
}
/// Compute residual between two restricted vectors
///
/// r_ij = rho(x_i) - rho(x_j)
///
/// # Arguments
///
/// * `x_i` - First input vector
/// * `x_j` - Second input vector
///
/// # Returns
///
/// Residual vector
pub fn residual(&self, x_i: &[f32], x_j: &[f32]) -> AttentionResult<Vec<f32>> {
let rho_i = self.apply(x_i)?;
let rho_j = self.apply(x_j)?;
Ok(rho_i
.iter()
.zip(rho_j.iter())
.map(|(&a, &b)| a - b)
.collect())
}
/// Compute residual energy (squared L2 norm of residual)
///
/// E_ij = ||rho(x_i) - rho(x_j)||^2
///
/// # Arguments
///
/// * `x_i` - First input vector
/// * `x_j` - Second input vector
///
/// # Returns
///
/// Residual energy (non-negative scalar)
pub fn energy(&self, x_i: &[f32], x_j: &[f32]) -> AttentionResult<f32> {
let residual = self.residual(x_i, x_j)?;
Ok(residual.iter().map(|r| r * r).sum())
}
/// Compute weighted residual energy
///
/// E_ij = w * ||rho(x_i) - rho(x_j)||^2
///
/// # Arguments
///
/// * `x_i` - First input vector
/// * `x_j` - Second input vector
/// * `weight` - Edge weight
///
/// # Returns
///
/// Weighted residual energy
pub fn weighted_energy(&self, x_i: &[f32], x_j: &[f32], weight: f32) -> AttentionResult<f32> {
Ok(weight * self.energy(x_i, x_j)?)
}
/// Compute energy matrix for all pairs
///
/// E[i,j] = ||rho(x_i) - rho(x_j)||^2
///
/// # Arguments
///
/// * `vectors` - Input vectors
///
/// # Returns
///
/// Energy matrix [N x N] stored row-major
pub fn energy_matrix(&self, vectors: &[&[f32]]) -> AttentionResult<Vec<f32>> {
let n = vectors.len();
// First, apply restriction map to all vectors
let restricted: Vec<Vec<f32>> = vectors
.iter()
.map(|v| self.apply(v))
.collect::<AttentionResult<_>>()?;
// Compute pairwise energies
let mut energies = vec![0.0; n * n];
for i in 0..n {
for j in 0..n {
if i == j {
energies[i * n + j] = 0.0;
} else {
let energy: f32 = restricted[i]
.iter()
.zip(restricted[j].iter())
.map(|(&a, &b)| (a - b) * (a - b))
.sum();
energies[i * n + j] = energy;
}
}
}
Ok(energies)
}
/// Get input dimension
pub fn input_dim(&self) -> usize {
self.input_dim
}
/// Get output dimension
pub fn output_dim(&self) -> usize {
self.output_dim
}
/// Get weight matrix (read-only)
pub fn weights(&self) -> &[f32] {
&self.weights
}
/// Get mutable weight matrix (for training)
pub fn weights_mut(&mut self) -> &mut [f32] {
&mut self.weights
}
/// Get bias vector (read-only)
pub fn bias(&self) -> Option<&[f32]> {
self.bias.as_deref()
}
/// Get mutable bias vector (for training)
pub fn bias_mut(&mut self) -> Option<&mut [f32]> {
self.bias.as_deref_mut()
}
/// Update weights with gradient
pub fn update_weights(&mut self, gradients: &[f32], learning_rate: f32) {
if gradients.len() == self.weights.len() {
for (w, g) in self.weights.iter_mut().zip(gradients.iter()) {
*w -= learning_rate * g;
}
}
}
/// Update bias with gradient
pub fn update_bias(&mut self, gradients: &[f32], learning_rate: f32) {
if let Some(ref mut bias) = self.bias {
if gradients.len() == bias.len() {
for (b, g) in bias.iter_mut().zip(gradients.iter()) {
*b -= learning_rate * g;
}
}
}
}
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn test_restriction_map_creation() {
let rmap = RestrictionMap::new(64, 32);
assert_eq!(rmap.input_dim(), 64);
assert_eq!(rmap.output_dim(), 32);
assert_eq!(rmap.weights().len(), 64 * 32);
assert!(rmap.bias().is_some());
}
#[test]
fn test_identity_restriction() {
let rmap = RestrictionMap::identity(4);
let x = vec![1.0, 2.0, 3.0, 4.0];
let y = rmap.apply(&x).unwrap();
for (xi, yi) in x.iter().zip(y.iter()) {
assert!((xi - yi).abs() < 1e-6);
}
}
#[test]
fn test_apply() {
let rmap = RestrictionMap::new(4, 3);
let x = vec![1.0, 2.0, 3.0, 4.0];
let y = rmap.apply(&x).unwrap();
assert_eq!(y.len(), 3);
}
#[test]
fn test_apply_dimension_mismatch() {
let rmap = RestrictionMap::new(4, 3);
let x = vec![1.0, 2.0]; // Wrong dimension
assert!(rmap.apply(&x).is_err());
}
#[test]
fn test_residual() {
let rmap = RestrictionMap::identity(4);
let x_i = vec![1.0, 2.0, 3.0, 4.0];
let x_j = vec![2.0, 3.0, 4.0, 5.0];
let residual = rmap.residual(&x_i, &x_j).unwrap();
// Should be x_i - x_j = [-1, -1, -1, -1]
for r in &residual {
assert!((*r + 1.0).abs() < 1e-6);
}
}
#[test]
fn test_energy() {
let rmap = RestrictionMap::identity(4);
let x_i = vec![1.0, 2.0, 3.0, 4.0];
let x_j = vec![2.0, 3.0, 4.0, 5.0];
let energy = rmap.energy(&x_i, &x_j).unwrap();
// Residual = [-1, -1, -1, -1], energy = 4
assert!((energy - 4.0).abs() < 1e-6);
}
#[test]
fn test_energy_symmetry() {
let rmap = RestrictionMap::new(8, 8);
let x_i = vec![1.0; 8];
let x_j = vec![0.5; 8];
let e_ij = rmap.energy(&x_i, &x_j).unwrap();
let e_ji = rmap.energy(&x_j, &x_i).unwrap();
assert!((e_ij - e_ji).abs() < 1e-6);
}
#[test]
fn test_energy_matrix() {
let rmap = RestrictionMap::identity(4);
let v1 = vec![1.0, 0.0, 0.0, 0.0];
let v2 = vec![0.0, 1.0, 0.0, 0.0];
let v3 = vec![0.0, 0.0, 1.0, 0.0];
let vectors: Vec<&[f32]> = vec![&v1, &v2, &v3];
let energies = rmap.energy_matrix(&vectors).unwrap();
// Diagonal should be 0
assert!(energies[0].abs() < 1e-6); // E[0,0]
assert!(energies[4].abs() < 1e-6); // E[1,1]
assert!(energies[8].abs() < 1e-6); // E[2,2]
// Off-diagonal: ||e_i - e_j||^2 = 2 for orthonormal basis
assert!((energies[1] - 2.0).abs() < 1e-6); // E[0,1]
assert!((energies[3] - 2.0).abs() < 1e-6); // E[1,0]
}
#[test]
fn test_batch_apply() {
let rmap = RestrictionMap::new(4, 3);
let v1 = vec![1.0; 4];
let v2 = vec![2.0; 4];
let batch: Vec<&[f32]> = vec![&v1, &v2];
let results = rmap.apply_batch(&batch).unwrap();
assert_eq!(results.len(), 2);
assert_eq!(results[0].len(), 3);
assert_eq!(results[1].len(), 3);
}
#[test]
fn test_from_weights() {
let weights = vec![1.0, 0.0, 0.0, 1.0]; // 2x2 identity
let bias = Some(vec![0.5, 0.5]);
let rmap = RestrictionMap::from_weights(weights, bias, 2, 2).unwrap();
let x = vec![1.0, 2.0];
let y = rmap.apply(&x).unwrap();
assert!((y[0] - 1.5).abs() < 1e-6); // 1*1 + 0*2 + 0.5
assert!((y[1] - 2.5).abs() < 1e-6); // 0*1 + 1*2 + 0.5
}
#[test]
fn test_config_builder() {
let config = RestrictionMapConfig::default()
.with_input_dim(128)
.with_output_dim(64)
.with_bias(false)
.with_init_scale(0.1);
assert_eq!(config.input_dim, 128);
assert_eq!(config.output_dim, 64);
assert!(!config.use_bias);
assert_eq!(config.init_scale, Some(0.1));
}
}

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//! Token Router for Coherence-Gated Transformer
//!
//! Routes tokens to different compute lanes based on coherence energy:
//!
//! - **Reflex** (Lane 0): E < theta_reflex, minimal compute (<0.1ms)
//! - **Standard** (Lane 1): E < theta_standard, normal compute (~1ms)
//! - **Deep** (Lane 2): E >= theta_standard, maximum compute (~5ms)
//! - **Escalate** (Lane 3): Irreconcilable incoherence, return uncertainty
//!
//! ## Routing Thresholds
//!
//! | Threshold | Default | Meaning |
//! |-----------|---------|---------|
//! | theta_reflex | 0.01 | Token highly coherent with context |
//! | theta_standard | 0.1 | Minor inconsistencies |
//! | theta_deep | 1.0 | Major inconsistencies |
//! | theta_escalate | 10.0 | Irreconcilable (escalate) |
use crate::error::{AttentionError, AttentionResult};
use crate::sheaf::SheafAttention;
use serde::{Deserialize, Serialize};
/// Compute lane for token processing
#[derive(Debug, Clone, Copy, PartialEq, Eq, PartialOrd, Ord, Hash, Serialize, Deserialize)]
pub enum ComputeLane {
/// Minimal compute (<0.1ms): 1-2 layers, local attention, no FFN
/// Use case: Common tokens, clear context
Reflex = 0,
/// Standard compute (~1ms): 6 layers, sparse sheaf attention
/// Use case: Normal tokens requiring context integration
Standard = 1,
/// Deep compute (~5ms): 12+ layers, full sheaf + MoE
/// Use case: Ambiguous, contradictory, or complex tokens
Deep = 2,
/// Escalate: Return uncertainty, request clarification
/// Use case: Irreconcilable incoherence
Escalate = 3,
}
impl ComputeLane {
/// Get human-readable description
pub fn description(&self) -> &'static str {
match self {
Self::Reflex => "Reflex (minimal compute)",
Self::Standard => "Standard (normal compute)",
Self::Deep => "Deep (maximum compute)",
Self::Escalate => "Escalate (return uncertainty)",
}
}
/// Get typical latency in milliseconds
pub fn typical_latency_ms(&self) -> f32 {
match self {
Self::Reflex => 0.1,
Self::Standard => 1.0,
Self::Deep => 5.0,
Self::Escalate => 0.0, // Async/immediate return
}
}
/// Get typical number of layers
pub fn typical_layers(&self) -> usize {
match self {
Self::Reflex => 2,
Self::Standard => 6,
Self::Deep => 12,
Self::Escalate => 0,
}
}
/// Check if this lane requires full attention
pub fn requires_full_attention(&self) -> bool {
matches!(self, Self::Deep)
}
/// Check if this lane uses MoE routing
pub fn uses_moe(&self) -> bool {
matches!(self, Self::Deep)
}
}
/// Configuration for token router
#[derive(Debug, Clone, Serialize, Deserialize)]
pub struct TokenRouterConfig {
/// Energy threshold for reflex lane (E < theta_reflex -> Reflex)
pub theta_reflex: f32,
/// Energy threshold for standard lane (E < theta_standard -> Standard)
pub theta_standard: f32,
/// Energy threshold for deep lane (E < theta_deep -> Deep)
pub theta_deep: f32,
/// Energy threshold for escalation (E >= theta_escalate -> Escalate)
pub theta_escalate: f32,
/// Whether to use average energy (true) or total energy (false)
pub use_average_energy: bool,
/// Minimum context size for routing (smaller contexts default to Standard)
pub min_context_size: usize,
}
impl Default for TokenRouterConfig {
fn default() -> Self {
Self {
theta_reflex: 0.01,
theta_standard: 0.1,
theta_deep: 1.0,
theta_escalate: 10.0,
use_average_energy: true,
min_context_size: 4,
}
}
}
impl TokenRouterConfig {
/// Create config with custom thresholds
pub fn new(theta_reflex: f32, theta_standard: f32, theta_deep: f32) -> Self {
Self {
theta_reflex,
theta_standard,
theta_deep,
theta_escalate: theta_deep * 10.0,
..Default::default()
}
}
/// Builder: set reflex threshold
pub fn with_theta_reflex(mut self, theta: f32) -> Self {
self.theta_reflex = theta;
self
}
/// Builder: set standard threshold
pub fn with_theta_standard(mut self, theta: f32) -> Self {
self.theta_standard = theta;
self
}
/// Builder: set deep threshold
pub fn with_theta_deep(mut self, theta: f32) -> Self {
self.theta_deep = theta;
self
}
/// Builder: set escalate threshold
pub fn with_theta_escalate(mut self, theta: f32) -> Self {
self.theta_escalate = theta;
self
}
/// Builder: set energy computation method
pub fn with_average_energy(mut self, use_avg: bool) -> Self {
self.use_average_energy = use_avg;
self
}
/// Builder: set minimum context size
pub fn with_min_context_size(mut self, size: usize) -> Self {
self.min_context_size = size;
self
}
/// Validate configuration
pub fn validate(&self) -> AttentionResult<()> {
if self.theta_reflex <= 0.0 {
return Err(AttentionError::InvalidConfig(
"theta_reflex must be positive".to_string(),
));
}
if self.theta_standard <= self.theta_reflex {
return Err(AttentionError::InvalidConfig(
"theta_standard must be greater than theta_reflex".to_string(),
));
}
if self.theta_deep <= self.theta_standard {
return Err(AttentionError::InvalidConfig(
"theta_deep must be greater than theta_standard".to_string(),
));
}
if self.theta_escalate <= self.theta_deep {
return Err(AttentionError::InvalidConfig(
"theta_escalate must be greater than theta_deep".to_string(),
));
}
Ok(())
}
}
/// Routing decision for a token
#[derive(Debug, Clone)]
pub struct RoutingDecision {
/// Token index in sequence
pub token_idx: usize,
/// Computed energy for the token
pub energy: f32,
/// Assigned compute lane
pub lane: ComputeLane,
/// Confidence in the routing decision (0-1)
pub confidence: f32,
/// Optional sparse mask indices (for Standard lane)
pub sparse_indices: Option<Vec<usize>>,
}
impl RoutingDecision {
/// Create a new routing decision
pub fn new(token_idx: usize, energy: f32, lane: ComputeLane) -> Self {
// Confidence based on how clearly the energy falls into a lane
let confidence = 1.0; // Can be refined based on energy distance to thresholds
Self {
token_idx,
energy,
lane,
confidence,
sparse_indices: None,
}
}
/// Set sparse indices for this decision
pub fn with_sparse_indices(mut self, indices: Vec<usize>) -> Self {
self.sparse_indices = Some(indices);
self
}
/// Check if this token needs attention
pub fn needs_attention(&self) -> bool {
!matches!(self.lane, ComputeLane::Escalate)
}
}
/// Token router for coherence-gated transformer
pub struct TokenRouter {
config: TokenRouterConfig,
}
impl TokenRouter {
/// Create a new token router
pub fn new(config: TokenRouterConfig) -> Self {
Self { config }
}
/// Create with default configuration
pub fn default_router() -> Self {
Self::new(TokenRouterConfig::default())
}
/// Get configuration
pub fn config(&self) -> &TokenRouterConfig {
&self.config
}
/// Get mutable configuration (for SONA tuning)
pub fn config_mut(&mut self) -> &mut TokenRouterConfig {
&mut self.config
}
/// Route a single token based on energy
///
/// # Arguments
///
/// * `energy` - Pre-computed energy for the token
///
/// # Returns
///
/// Compute lane for this token
pub fn route_by_energy(&self, energy: f32) -> ComputeLane {
if energy < self.config.theta_reflex {
ComputeLane::Reflex
} else if energy < self.config.theta_standard {
ComputeLane::Standard
} else if energy < self.config.theta_escalate {
ComputeLane::Deep
} else {
ComputeLane::Escalate
}
}
/// Route a single token using sheaf attention
///
/// # Arguments
///
/// * `token` - Token embedding
/// * `context` - Context embeddings (keys)
/// * `attention` - Sheaf attention layer for energy computation
///
/// # Returns
///
/// Routing decision for this token
pub fn route_token(
&self,
token_idx: usize,
token: &[f32],
context: &[&[f32]],
attention: &SheafAttention,
) -> AttentionResult<RoutingDecision> {
// Handle small contexts
if context.len() < self.config.min_context_size {
return Ok(RoutingDecision::new(token_idx, 0.0, ComputeLane::Standard));
}
// Compute energy
let energy = if self.config.use_average_energy {
attention.average_token_energy(token, context)?
} else {
attention.token_energy(token, context)?
};
let lane = self.route_by_energy(energy);
Ok(RoutingDecision::new(token_idx, energy, lane))
}
/// Route a batch of tokens
///
/// # Arguments
///
/// * `tokens` - Token embeddings
/// * `context` - Shared context embeddings
/// * `attention` - Sheaf attention layer
///
/// # Returns
///
/// Vector of routing decisions
pub fn route_batch(
&self,
tokens: &[&[f32]],
context: &[&[f32]],
attention: &SheafAttention,
) -> AttentionResult<Vec<RoutingDecision>> {
tokens
.iter()
.enumerate()
.map(|(idx, token)| self.route_token(idx, token, context, attention))
.collect()
}
/// Group tokens by their assigned lane
///
/// Returns (reflex_indices, standard_indices, deep_indices, escalate_indices)
pub fn group_by_lane(
decisions: &[RoutingDecision],
) -> (Vec<usize>, Vec<usize>, Vec<usize>, Vec<usize>) {
let mut reflex = Vec::new();
let mut standard = Vec::new();
let mut deep = Vec::new();
let mut escalate = Vec::new();
for decision in decisions {
match decision.lane {
ComputeLane::Reflex => reflex.push(decision.token_idx),
ComputeLane::Standard => standard.push(decision.token_idx),
ComputeLane::Deep => deep.push(decision.token_idx),
ComputeLane::Escalate => escalate.push(decision.token_idx),
}
}
(reflex, standard, deep, escalate)
}
/// Compute lane statistics for a batch of decisions
pub fn lane_statistics(decisions: &[RoutingDecision]) -> LaneStatistics {
let total = decisions.len();
let (reflex, standard, deep, escalate) = Self::group_by_lane(decisions);
let avg_energy = if total > 0 {
decisions.iter().map(|d| d.energy).sum::<f32>() / total as f32
} else {
0.0
};
let max_energy = decisions.iter().map(|d| d.energy).fold(0.0f32, f32::max);
let min_energy = decisions
.iter()
.map(|d| d.energy)
.fold(f32::INFINITY, f32::min);
LaneStatistics {
total_tokens: total,
reflex_count: reflex.len(),
standard_count: standard.len(),
deep_count: deep.len(),
escalate_count: escalate.len(),
average_energy: avg_energy,
max_energy,
min_energy: if min_energy.is_infinite() {
0.0
} else {
min_energy
},
}
}
/// Estimate total latency for a batch based on routing
pub fn estimate_latency_ms(decisions: &[RoutingDecision]) -> f32 {
decisions.iter().map(|d| d.lane.typical_latency_ms()).sum()
}
/// Update thresholds based on desired lane distribution
///
/// This can be used by SONA for adaptive tuning.
pub fn tune_thresholds(
&mut self,
current_stats: &LaneStatistics,
target_reflex_ratio: f32,
target_standard_ratio: f32,
) {
let total = current_stats.total_tokens as f32;
if total == 0.0 {
return;
}
let current_reflex_ratio = current_stats.reflex_count as f32 / total;
let current_standard_ratio = current_stats.standard_count as f32 / total;
// Adjust thresholds to move towards target ratios
// More reflex needed -> increase theta_reflex
// Less reflex needed -> decrease theta_reflex
let reflex_adjustment = (target_reflex_ratio - current_reflex_ratio) * 0.1;
let standard_adjustment = (target_standard_ratio - current_standard_ratio) * 0.1;
// Apply adjustments while maintaining ordering
self.config.theta_reflex = (self.config.theta_reflex * (1.0 + reflex_adjustment))
.max(0.001)
.min(self.config.theta_standard * 0.9);
self.config.theta_standard = (self.config.theta_standard * (1.0 + standard_adjustment))
.max(self.config.theta_reflex * 1.1)
.min(self.config.theta_deep * 0.9);
}
}
/// Statistics about lane distribution
#[derive(Debug, Clone)]
pub struct LaneStatistics {
/// Total number of tokens routed
pub total_tokens: usize,
/// Tokens routed to Reflex lane
pub reflex_count: usize,
/// Tokens routed to Standard lane
pub standard_count: usize,
/// Tokens routed to Deep lane
pub deep_count: usize,
/// Tokens escalated
pub escalate_count: usize,
/// Average energy across all tokens
pub average_energy: f32,
/// Maximum energy
pub max_energy: f32,
/// Minimum energy
pub min_energy: f32,
}
impl LaneStatistics {
/// Get ratio of tokens in reflex lane
pub fn reflex_ratio(&self) -> f32 {
if self.total_tokens == 0 {
0.0
} else {
self.reflex_count as f32 / self.total_tokens as f32
}
}
/// Get ratio of tokens in standard lane
pub fn standard_ratio(&self) -> f32 {
if self.total_tokens == 0 {
0.0
} else {
self.standard_count as f32 / self.total_tokens as f32
}
}
/// Get ratio of tokens in deep lane
pub fn deep_ratio(&self) -> f32 {
if self.total_tokens == 0 {
0.0
} else {
self.deep_count as f32 / self.total_tokens as f32
}
}
/// Get ratio of escalated tokens
pub fn escalate_ratio(&self) -> f32 {
if self.total_tokens == 0 {
0.0
} else {
self.escalate_count as f32 / self.total_tokens as f32
}
}
/// Estimated speedup compared to all-deep processing
pub fn estimated_speedup(&self) -> f32 {
if self.total_tokens == 0 {
1.0
} else {
let deep_latency = self.total_tokens as f32 * ComputeLane::Deep.typical_latency_ms();
let actual_latency = self.reflex_count as f32
* ComputeLane::Reflex.typical_latency_ms()
+ self.standard_count as f32 * ComputeLane::Standard.typical_latency_ms()
+ self.deep_count as f32 * ComputeLane::Deep.typical_latency_ms();
if actual_latency > 0.0 {
deep_latency / actual_latency
} else {
1.0
}
}
}
}
#[cfg(test)]
mod tests {
use super::*;
use crate::sheaf::SheafAttentionConfig;
#[test]
fn test_compute_lane_ordering() {
assert!(ComputeLane::Reflex < ComputeLane::Standard);
assert!(ComputeLane::Standard < ComputeLane::Deep);
assert!(ComputeLane::Deep < ComputeLane::Escalate);
}
#[test]
fn test_lane_properties() {
assert_eq!(ComputeLane::Reflex.typical_layers(), 2);
assert_eq!(ComputeLane::Standard.typical_layers(), 6);
assert_eq!(ComputeLane::Deep.typical_layers(), 12);
assert!(!ComputeLane::Reflex.requires_full_attention());
assert!(!ComputeLane::Standard.requires_full_attention());
assert!(ComputeLane::Deep.requires_full_attention());
assert!(!ComputeLane::Reflex.uses_moe());
assert!(ComputeLane::Deep.uses_moe());
}
#[test]
fn test_config_default() {
let config = TokenRouterConfig::default();
assert!(config.theta_reflex < config.theta_standard);
assert!(config.theta_standard < config.theta_deep);
assert!(config.theta_deep < config.theta_escalate);
}
#[test]
fn test_config_validation() {
assert!(TokenRouterConfig::default().validate().is_ok());
let bad_config = TokenRouterConfig {
theta_reflex: 0.1,
theta_standard: 0.05, // Less than reflex
..Default::default()
};
assert!(bad_config.validate().is_err());
}
#[test]
fn test_route_by_energy() {
let router = TokenRouter::default_router();
assert_eq!(router.route_by_energy(0.001), ComputeLane::Reflex);
assert_eq!(router.route_by_energy(0.05), ComputeLane::Standard);
assert_eq!(router.route_by_energy(0.5), ComputeLane::Deep);
assert_eq!(router.route_by_energy(100.0), ComputeLane::Escalate);
}
#[test]
fn test_route_token() {
let router = TokenRouter::default_router();
let config = SheafAttentionConfig::new(8);
let attention = SheafAttention::new(config);
let token = vec![1.0; 8];
let c1 = vec![1.0; 8];
let c2 = vec![1.0; 8];
let c3 = vec![1.0; 8];
let c4 = vec![1.0; 8];
let context: Vec<&[f32]> = vec![&c1, &c2, &c3, &c4];
let decision = router.route_token(0, &token, &context, &attention).unwrap();
assert_eq!(decision.token_idx, 0);
assert!(decision.energy >= 0.0);
}
#[test]
fn test_route_batch() {
let router = TokenRouter::default_router();
let config = SheafAttentionConfig::new(8);
let attention = SheafAttention::new(config);
let t1 = vec![1.0; 8];
let t2 = vec![0.5; 8];
let tokens: Vec<&[f32]> = vec![&t1, &t2];
let c1 = vec![1.0; 8];
let c2 = vec![1.0; 8];
let c3 = vec![1.0; 8];
let c4 = vec![1.0; 8];
let context: Vec<&[f32]> = vec![&c1, &c2, &c3, &c4];
let decisions = router.route_batch(&tokens, &context, &attention).unwrap();
assert_eq!(decisions.len(), 2);
}
#[test]
fn test_group_by_lane() {
let decisions = vec![
RoutingDecision::new(0, 0.001, ComputeLane::Reflex),
RoutingDecision::new(1, 0.05, ComputeLane::Standard),
RoutingDecision::new(2, 0.5, ComputeLane::Deep),
RoutingDecision::new(3, 0.002, ComputeLane::Reflex),
];
let (reflex, standard, deep, escalate) = TokenRouter::group_by_lane(&decisions);
assert_eq!(reflex, vec![0, 3]);
assert_eq!(standard, vec![1]);
assert_eq!(deep, vec![2]);
assert!(escalate.is_empty());
}
#[test]
fn test_lane_statistics() {
let decisions = vec![
RoutingDecision::new(0, 0.001, ComputeLane::Reflex),
RoutingDecision::new(1, 0.05, ComputeLane::Standard),
RoutingDecision::new(2, 0.5, ComputeLane::Deep),
RoutingDecision::new(3, 0.002, ComputeLane::Reflex),
];
let stats = TokenRouter::lane_statistics(&decisions);
assert_eq!(stats.total_tokens, 4);
assert_eq!(stats.reflex_count, 2);
assert_eq!(stats.standard_count, 1);
assert_eq!(stats.deep_count, 1);
assert_eq!(stats.escalate_count, 0);
assert!((stats.reflex_ratio() - 0.5).abs() < 1e-6);
assert!(stats.estimated_speedup() > 1.0);
}
#[test]
fn test_routing_decision_builder() {
let decision =
RoutingDecision::new(0, 0.1, ComputeLane::Standard).with_sparse_indices(vec![1, 3, 5]);
assert!(decision.sparse_indices.is_some());
assert_eq!(decision.sparse_indices.unwrap(), vec![1, 3, 5]);
}
#[test]
fn test_small_context_default() {
let router = TokenRouter::default_router();
let config = SheafAttentionConfig::new(8);
let attention = SheafAttention::new(config);
let token = vec![1.0; 8];
let c1 = vec![1.0; 8];
let context: Vec<&[f32]> = vec![&c1]; // Small context
let decision = router.route_token(0, &token, &context, &attention).unwrap();
assert_eq!(decision.lane, ComputeLane::Standard); // Default for small context
}
}

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//! Residual-Sparse Attention
//!
//! Generates sparse attention masks based on residual energy.
//! Only computes attention for token pairs with high residuals (incoherent).
//!
//! ## Key Insight
//!
//! Tokens that are already coherent (low residual) don't need expensive attention.
//! By only attending to high-residual pairs, we can achieve significant speedups
//! while maintaining quality.
//!
//! ## Sparsity Pattern
//!
//! Unlike fixed patterns (local, strided), residual-sparse attention adapts to content:
//! - Coherent regions: Few attention connections
//! - Incoherent regions: More attention connections
use crate::error::{AttentionError, AttentionResult};
use crate::sheaf::restriction::RestrictionMap;
use crate::traits::SparseMask;
use serde::{Deserialize, Serialize};
/// Configuration for residual-sparse attention
#[derive(Debug, Clone, Serialize, Deserialize)]
pub struct SparseResidualConfig {
/// Residual threshold: only attend if residual > threshold
pub residual_threshold: f32,
/// Maximum sparsity ratio (0.0 = full dense, 1.0 = maximally sparse)
pub max_sparsity: f32,
/// Minimum connections per query (ensure each query attends to at least k keys)
pub min_connections: usize,
/// Whether to always include self-attention (diagonal)
pub include_self: bool,
/// Whether to include local window regardless of residual
pub local_window: Option<usize>,
}
impl Default for SparseResidualConfig {
fn default() -> Self {
Self {
residual_threshold: 0.05,
max_sparsity: 0.9,
min_connections: 1,
include_self: true,
local_window: Some(8),
}
}
}
impl SparseResidualConfig {
/// Create with residual threshold
pub fn new(residual_threshold: f32) -> Self {
Self {
residual_threshold,
..Default::default()
}
}
/// Builder: set residual threshold
pub fn with_residual_threshold(mut self, threshold: f32) -> Self {
self.residual_threshold = threshold;
self
}
/// Builder: set max sparsity
pub fn with_max_sparsity(mut self, sparsity: f32) -> Self {
self.max_sparsity = sparsity.clamp(0.0, 1.0);
self
}
/// Builder: set minimum connections
pub fn with_min_connections(mut self, min: usize) -> Self {
self.min_connections = min;
self
}
/// Builder: set self-attention inclusion
pub fn with_self_attention(mut self, include: bool) -> Self {
self.include_self = include;
self
}
/// Builder: set local window
pub fn with_local_window(mut self, window: Option<usize>) -> Self {
self.local_window = window;
self
}
/// Validate configuration
pub fn validate(&self) -> AttentionResult<()> {
if self.residual_threshold < 0.0 {
return Err(AttentionError::InvalidConfig(
"residual_threshold must be non-negative".to_string(),
));
}
if self.max_sparsity < 0.0 || self.max_sparsity > 1.0 {
return Err(AttentionError::InvalidConfig(
"max_sparsity must be in [0, 1]".to_string(),
));
}
Ok(())
}
}
/// Sparse mask based on residual energy
#[derive(Debug, Clone)]
pub struct ResidualSparseMask {
/// Number of queries
pub n_queries: usize,
/// Number of keys
pub n_keys: usize,
/// Sparse mask indices: (query_idx, key_idx) pairs
pub connections: Vec<(usize, usize)>,
/// Optional residual values for each connection
pub residuals: Option<Vec<f32>>,
/// Sparsity ratio achieved
pub sparsity: f32,
}
impl ResidualSparseMask {
/// Create from connections
pub fn new(n_queries: usize, n_keys: usize, connections: Vec<(usize, usize)>) -> Self {
let total_possible = n_queries * n_keys;
let sparsity = if total_possible > 0 {
1.0 - (connections.len() as f32 / total_possible as f32)
} else {
0.0
};
Self {
n_queries,
n_keys,
connections,
residuals: None,
sparsity,
}
}
/// Create with residual values
pub fn with_residuals(
n_queries: usize,
n_keys: usize,
connections: Vec<(usize, usize)>,
residuals: Vec<f32>,
) -> Self {
let total_possible = n_queries * n_keys;
let sparsity = if total_possible > 0 {
1.0 - (connections.len() as f32 / total_possible as f32)
} else {
0.0
};
Self {
n_queries,
n_keys,
connections,
residuals: Some(residuals),
sparsity,
}
}
/// Get number of non-zero connections
pub fn nnz(&self) -> usize {
self.connections.len()
}
/// Convert to dense boolean mask
pub fn to_dense_mask(&self) -> Vec<bool> {
let mut mask = vec![false; self.n_queries * self.n_keys];
for &(i, j) in &self.connections {
mask[i * self.n_keys + j] = true;
}
mask
}
/// Convert to SparseMask (for Attention trait compatibility)
pub fn to_sparse_mask(&self) -> SparseMask {
let rows: Vec<usize> = self.connections.iter().map(|(i, _)| *i).collect();
let cols: Vec<usize> = self.connections.iter().map(|(_, j)| *j).collect();
SparseMask {
rows,
cols,
values: self.residuals.clone(),
}
}
/// Get connections for a specific query
pub fn query_connections(&self, query_idx: usize) -> Vec<usize> {
self.connections
.iter()
.filter_map(|&(i, j)| if i == query_idx { Some(j) } else { None })
.collect()
}
/// Get connections as CSR format (row pointers and column indices)
pub fn to_csr(&self) -> (Vec<usize>, Vec<usize>) {
let mut row_ptr = vec![0; self.n_queries + 1];
let mut col_idx = Vec::with_capacity(self.connections.len());
// Count connections per query
for &(i, _) in &self.connections {
row_ptr[i + 1] += 1;
}
// Cumulative sum
for i in 1..=self.n_queries {
row_ptr[i] += row_ptr[i - 1];
}
// Fill column indices (assumes connections are sorted by query)
let mut current_row = vec![0; self.n_queries];
col_idx.resize(self.connections.len(), 0);
for &(i, j) in &self.connections {
let pos = row_ptr[i] + current_row[i];
col_idx[pos] = j;
current_row[i] += 1;
}
(row_ptr, col_idx)
}
}
/// Sparse attention layer based on residual energy
pub struct SparseResidualAttention {
config: SparseResidualConfig,
/// Restriction map for computing residuals
restriction_map: RestrictionMap,
}
impl SparseResidualAttention {
/// Create new sparse residual attention
pub fn new(config: SparseResidualConfig, restriction_map: RestrictionMap) -> Self {
Self {
config,
restriction_map,
}
}
/// Create with dimension (creates default restriction map)
pub fn with_dim(config: SparseResidualConfig, dim: usize) -> Self {
let restriction_map = RestrictionMap::new(dim, dim);
Self::new(config, restriction_map)
}
/// Get configuration
pub fn config(&self) -> &SparseResidualConfig {
&self.config
}
/// Get restriction map
pub fn restriction_map(&self) -> &RestrictionMap {
&self.restriction_map
}
/// Compute residual matrix between queries and keys
///
/// R[i,j] = ||rho(q_i) - rho(k_j)||^2
pub fn compute_residual_matrix(
&self,
queries: &[&[f32]],
keys: &[&[f32]],
) -> AttentionResult<Vec<f32>> {
let n_q = queries.len();
let n_k = keys.len();
// Project all queries and keys
let q_proj: Vec<Vec<f32>> = queries
.iter()
.map(|q| self.restriction_map.apply(q))
.collect::<AttentionResult<_>>()?;
let k_proj: Vec<Vec<f32>> = keys
.iter()
.map(|k| self.restriction_map.apply(k))
.collect::<AttentionResult<_>>()?;
// Compute pairwise residuals
let mut residuals = vec![0.0; n_q * n_k];
for i in 0..n_q {
for j in 0..n_k {
let residual: f32 = q_proj[i]
.iter()
.zip(k_proj[j].iter())
.map(|(&q, &k)| (q - k) * (q - k))
.sum();
residuals[i * n_k + j] = residual;
}
}
Ok(residuals)
}
/// Generate sparse mask based on residual thresholding
///
/// Include connections where residual > threshold (incoherent pairs need attention)
pub fn generate_mask(
&self,
queries: &[&[f32]],
keys: &[&[f32]],
) -> AttentionResult<ResidualSparseMask> {
let n_q = queries.len();
let n_k = keys.len();
let residuals = self.compute_residual_matrix(queries, keys)?;
let mut connections = Vec::new();
let mut connection_residuals = Vec::new();
for i in 0..n_q {
let mut query_connections: Vec<(usize, f32)> = Vec::new();
for j in 0..n_k {
let r = residuals[i * n_k + j];
// Include self-attention
if self.config.include_self && i == j && i < n_k {
query_connections.push((j, r));
continue;
}
// Include local window
if let Some(window) = self.config.local_window {
let half_window = window / 2;
if (i as isize - j as isize).unsigned_abs() <= half_window {
query_connections.push((j, r));
continue;
}
}
// Include high-residual pairs (incoherent - need attention)
if r > self.config.residual_threshold {
query_connections.push((j, r));
}
}
// Ensure minimum connections by adding highest-residual pairs if needed
if query_connections.len() < self.config.min_connections {
// Sort all pairs by residual (descending) and take top k
let mut all_pairs: Vec<(usize, f32)> =
(0..n_k).map(|j| (j, residuals[i * n_k + j])).collect();
all_pairs
.sort_by(|a, b| b.1.partial_cmp(&a.1).unwrap_or(std::cmp::Ordering::Equal));
for (j, r) in all_pairs.into_iter().take(self.config.min_connections) {
if !query_connections.iter().any(|(jj, _)| *jj == j) {
query_connections.push((j, r));
}
}
}
// Enforce max sparsity
let max_connections = ((1.0 - self.config.max_sparsity) * n_k as f32).ceil() as usize;
if query_connections.len() > max_connections {
// Sort by residual (descending) and keep top max_connections
query_connections
.sort_by(|a, b| b.1.partial_cmp(&a.1).unwrap_or(std::cmp::Ordering::Equal));
query_connections.truncate(max_connections);
}
// Add to global connections
for (j, r) in query_connections {
connections.push((i, j));
connection_residuals.push(r);
}
}
// Sort connections by (i, j) for CSR conversion
let mut paired: Vec<((usize, usize), f32)> =
connections.into_iter().zip(connection_residuals).collect();
paired.sort_by_key(|((i, j), _)| (*i, *j));
let connections: Vec<(usize, usize)> = paired.iter().map(|(c, _)| *c).collect();
let residuals: Vec<f32> = paired.iter().map(|(_, r)| *r).collect();
Ok(ResidualSparseMask::with_residuals(
n_q,
n_k,
connections,
residuals,
))
}
/// Compute sparse attention output
///
/// Only computes attention for connections in the mask
pub fn compute_sparse(
&self,
queries: &[&[f32]],
keys: &[&[f32]],
values: &[&[f32]],
mask: &ResidualSparseMask,
beta: f32,
) -> AttentionResult<Vec<Vec<f32>>> {
if keys.len() != values.len() {
return Err(AttentionError::DimensionMismatch {
expected: keys.len(),
actual: values.len(),
});
}
let n_q = queries.len();
let dim = if values.is_empty() {
0
} else {
values[0].len()
};
let mut outputs = vec![vec![0.0; dim]; n_q];
// Group connections by query
for i in 0..n_q {
let query_conns = mask.query_connections(i);
if query_conns.is_empty() {
continue;
}
// Compute attention weights for this query's connections
let residuals: Vec<f32> = query_conns
.iter()
.map(|&j| self.restriction_map.energy(queries[i], keys[j]))
.collect::<AttentionResult<_>>()?;
// Convert to attention weights: exp(-beta * E) / Z
let logits: Vec<f32> = residuals.iter().map(|&r| -beta * r).collect();
let max_logit = logits.iter().cloned().fold(f32::NEG_INFINITY, f32::max);
let exp_logits: Vec<f32> = logits.iter().map(|&l| (l - max_logit).exp()).collect();
let sum: f32 = exp_logits.iter().sum();
let weights: Vec<f32> = if sum > 1e-10 {
exp_logits.iter().map(|&e| e / sum).collect()
} else {
vec![1.0 / query_conns.len() as f32; query_conns.len()]
};
// Weighted sum of values
for (weight, &j) in weights.iter().zip(query_conns.iter()) {
for (out, &val) in outputs[i].iter_mut().zip(values[j].iter()) {
*out += weight * val;
}
}
}
Ok(outputs)
}
/// Efficient sparse matmul: output = sparse_weights @ values
///
/// Uses CSR format for efficiency
pub fn sparse_matmul(
&self,
row_ptr: &[usize],
col_idx: &[usize],
weights: &[f32],
values: &[&[f32]],
) -> Vec<Vec<f32>> {
let n_queries = row_ptr.len() - 1;
let dim = if values.is_empty() {
0
} else {
values[0].len()
};
let mut outputs = vec![vec![0.0; dim]; n_queries];
for i in 0..n_queries {
let start = row_ptr[i];
let end = row_ptr[i + 1];
for k in start..end {
let j = col_idx[k];
let w = weights[k];
for (out, &val) in outputs[i].iter_mut().zip(values[j].iter()) {
*out += w * val;
}
}
}
outputs
}
}
/// Statistics about sparsity pattern
#[derive(Debug, Clone)]
pub struct SparsityStatistics {
/// Total number of queries
pub n_queries: usize,
/// Total number of keys
pub n_keys: usize,
/// Number of non-zero connections
pub nnz: usize,
/// Sparsity ratio (0 = dense, 1 = maximally sparse)
pub sparsity: f32,
/// Average connections per query
pub avg_connections: f32,
/// Min connections for any query
pub min_connections: usize,
/// Max connections for any query
pub max_connections: usize,
}
impl SparsityStatistics {
/// Compute statistics from mask
pub fn from_mask(mask: &ResidualSparseMask) -> Self {
let n_q = mask.n_queries;
let n_k = mask.n_keys;
let nnz = mask.nnz();
// Count connections per query
let mut per_query = vec![0usize; n_q];
for &(i, _) in &mask.connections {
per_query[i] += 1;
}
let min_conn = per_query.iter().cloned().min().unwrap_or(0);
let max_conn = per_query.iter().cloned().max().unwrap_or(0);
let avg_conn = if n_q > 0 {
nnz as f32 / n_q as f32
} else {
0.0
};
Self {
n_queries: n_q,
n_keys: n_k,
nnz,
sparsity: mask.sparsity,
avg_connections: avg_conn,
min_connections: min_conn,
max_connections: max_conn,
}
}
/// Estimated speedup from sparsity
pub fn estimated_speedup(&self) -> f32 {
if self.sparsity < 1.0 {
1.0 / (1.0 - self.sparsity)
} else {
f32::INFINITY
}
}
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn test_config_default() {
let config = SparseResidualConfig::default();
assert!(config.residual_threshold > 0.0);
assert!(config.max_sparsity > 0.0);
assert!(config.include_self);
}
#[test]
fn test_config_builder() {
let config = SparseResidualConfig::new(0.1)
.with_max_sparsity(0.8)
.with_min_connections(2)
.with_self_attention(false)
.with_local_window(None);
assert_eq!(config.residual_threshold, 0.1);
assert_eq!(config.max_sparsity, 0.8);
assert_eq!(config.min_connections, 2);
assert!(!config.include_self);
assert!(config.local_window.is_none());
}
#[test]
fn test_sparse_mask_creation() {
let connections = vec![(0, 0), (0, 1), (1, 1), (1, 2)];
let mask = ResidualSparseMask::new(2, 3, connections);
assert_eq!(mask.n_queries, 2);
assert_eq!(mask.n_keys, 3);
assert_eq!(mask.nnz(), 4);
assert!((mask.sparsity - (1.0 - 4.0 / 6.0)).abs() < 1e-6);
}
#[test]
fn test_to_dense_mask() {
let connections = vec![(0, 0), (0, 2), (1, 1)];
let mask = ResidualSparseMask::new(2, 3, connections);
let dense = mask.to_dense_mask();
assert_eq!(dense.len(), 6);
assert!(dense[0]); // (0, 0)
assert!(!dense[1]); // (0, 1)
assert!(dense[2]); // (0, 2)
assert!(!dense[3]); // (1, 0)
assert!(dense[4]); // (1, 1)
assert!(!dense[5]); // (1, 2)
}
#[test]
fn test_query_connections() {
let connections = vec![(0, 0), (0, 2), (1, 1), (1, 2)];
let mask = ResidualSparseMask::new(2, 3, connections);
assert_eq!(mask.query_connections(0), vec![0, 2]);
assert_eq!(mask.query_connections(1), vec![1, 2]);
}
#[test]
fn test_to_csr() {
let connections = vec![(0, 0), (0, 2), (1, 1), (1, 2)];
let mask = ResidualSparseMask::new(2, 3, connections);
let (row_ptr, col_idx) = mask.to_csr();
assert_eq!(row_ptr, vec![0, 2, 4]);
assert_eq!(col_idx, vec![0, 2, 1, 2]);
}
#[test]
fn test_generate_mask() {
let config = SparseResidualConfig::default()
.with_local_window(None)
.with_self_attention(false)
.with_min_connections(0);
let rmap = RestrictionMap::identity(4);
let sparse = SparseResidualAttention::new(config, rmap);
// Create queries and keys with varying similarity
let q1 = vec![1.0, 0.0, 0.0, 0.0];
let q2 = vec![0.0, 1.0, 0.0, 0.0];
let k1 = vec![1.0, 0.0, 0.0, 0.0]; // Similar to q1
let k2 = vec![0.0, 0.0, 1.0, 0.0]; // Different from both
let queries: Vec<&[f32]> = vec![&q1, &q2];
let keys: Vec<&[f32]> = vec![&k1, &k2];
let mask = sparse.generate_mask(&queries, &keys).unwrap();
// Should have connections for high-residual pairs
assert!(mask.nnz() > 0);
}
#[test]
fn test_compute_sparse() {
let config = SparseResidualConfig::default();
let rmap = RestrictionMap::identity(4);
let sparse = SparseResidualAttention::new(config, rmap);
let q1 = vec![1.0, 0.0, 0.0, 0.0];
let k1 = vec![1.0, 0.0, 0.0, 0.0];
let k2 = vec![0.0, 1.0, 0.0, 0.0];
let v1 = vec![1.0, 2.0, 3.0, 4.0];
let v2 = vec![5.0, 6.0, 7.0, 8.0];
let queries: Vec<&[f32]> = vec![&q1];
let keys: Vec<&[f32]> = vec![&k1, &k2];
let values: Vec<&[f32]> = vec![&v1, &v2];
let mask = sparse.generate_mask(&queries, &keys).unwrap();
let output = sparse
.compute_sparse(&queries, &keys, &values, &mask, 1.0)
.unwrap();
assert_eq!(output.len(), 1);
assert_eq!(output[0].len(), 4);
}
#[test]
fn test_sparsity_statistics() {
let connections = vec![(0, 0), (0, 1), (1, 0), (1, 1), (1, 2)];
let mask = ResidualSparseMask::new(2, 3, connections);
let stats = SparsityStatistics::from_mask(&mask);
assert_eq!(stats.n_queries, 2);
assert_eq!(stats.n_keys, 3);
assert_eq!(stats.nnz, 5);
assert_eq!(stats.min_connections, 2);
assert_eq!(stats.max_connections, 3);
assert!((stats.avg_connections - 2.5).abs() < 1e-6);
}
#[test]
fn test_sparse_matmul() {
let config = SparseResidualConfig::default();
let rmap = RestrictionMap::identity(2);
let sparse = SparseResidualAttention::new(config, rmap);
// 2x3 sparse matrix with weights
let row_ptr = vec![0, 2, 3];
let col_idx = vec![0, 1, 2];
let weights = vec![0.5, 0.5, 1.0];
let v1 = vec![1.0, 2.0];
let v2 = vec![3.0, 4.0];
let v3 = vec![5.0, 6.0];
let values: Vec<&[f32]> = vec![&v1, &v2, &v3];
let output = sparse.sparse_matmul(&row_ptr, &col_idx, &weights, &values);
assert_eq!(output.len(), 2);
// Row 0: 0.5 * [1,2] + 0.5 * [3,4] = [2, 3]
assert!((output[0][0] - 2.0).abs() < 1e-6);
assert!((output[0][1] - 3.0).abs() < 1e-6);
// Row 1: 1.0 * [5,6] = [5, 6]
assert!((output[1][0] - 5.0).abs() < 1e-6);
assert!((output[1][1] - 6.0).abs() < 1e-6);
}
}

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//! Flash attention - memory-efficient attention with tiled computation
//!
//! Memory: O(block_size) for attention matrix instead of O(n²)
use crate::error::{AttentionError, AttentionResult};
use crate::traits::Attention;
/// Flash attention with block-wise computation
///
/// Computes attention in tiles to minimize memory usage while maintaining numerical stability.
pub struct FlashAttention {
dim: usize,
block_size: usize,
scale: f32,
causal: bool,
}
impl FlashAttention {
/// Create new flash attention
pub fn new(dim: usize, block_size: usize) -> Self {
Self {
dim,
block_size,
scale: 1.0 / (dim as f32).sqrt(),
causal: false,
}
}
/// Create with causal masking
pub fn causal(dim: usize, block_size: usize) -> Self {
Self {
dim,
block_size,
scale: 1.0 / (dim as f32).sqrt(),
causal: true,
}
}
/// Compute attention scores for a block
fn compute_block_scores(&self, query: &[f32], keys: &[&[f32]], start_idx: usize) -> Vec<f32> {
keys.iter()
.enumerate()
.map(|(j, key)| {
if self.causal && start_idx + j > 0 {
// Simplified causal: assuming query is at position 0
f32::NEG_INFINITY
} else {
query
.iter()
.zip(key.iter())
.map(|(q, k)| q * k)
.sum::<f32>()
* self.scale
}
})
.collect()
}
}
impl Attention for FlashAttention {
fn compute(
&self,
query: &[f32],
keys: &[&[f32]],
values: &[&[f32]],
) -> AttentionResult<Vec<f32>> {
if keys.is_empty() {
return Err(AttentionError::InvalidConfig("Empty keys".to_string()));
}
if keys.len() != values.len() {
return Err(AttentionError::DimensionMismatch {
expected: keys.len(),
actual: values.len(),
});
}
if query.len() != self.dim {
return Err(AttentionError::DimensionMismatch {
expected: self.dim,
actual: query.len(),
});
}
let n = keys.len();
let value_dim = values[0].len();
// Online softmax with tiled computation
let mut output = vec![0.0f32; value_dim];
let mut max_so_far = f32::NEG_INFINITY;
let mut sum_exp = 0.0f32;
// Process in blocks
for block_start in (0..n).step_by(self.block_size) {
let block_end = (block_start + self.block_size).min(n);
let block_keys: Vec<&[f32]> = keys[block_start..block_end].to_vec();
// Compute attention scores for this block
let block_scores = self.compute_block_scores(query, &block_keys, block_start);
// Find block maximum
let block_max = block_scores
.iter()
.copied()
.filter(|x| x.is_finite())
.fold(f32::NEG_INFINITY, f32::max);
if !block_max.is_finite() {
continue; // Skip fully masked blocks
}
// New maximum
let new_max = max_so_far.max(block_max);
// Rescale previous accumulations
if max_so_far.is_finite() {
let rescale = (max_so_far - new_max).exp();
sum_exp *= rescale;
output.iter_mut().for_each(|o| *o *= rescale);
}
// Add contribution from this block
for (local_idx, &score) in block_scores.iter().enumerate() {
if score.is_finite() {
let exp_score = (score - new_max).exp();
sum_exp += exp_score;
let global_idx = block_start + local_idx;
for (j, &vj) in values[global_idx].iter().enumerate() {
output[j] += exp_score * vj;
}
}
}
max_so_far = new_max;
}
// Final normalization
if sum_exp > 1e-8 {
output.iter_mut().for_each(|o| *o /= sum_exp);
}
Ok(output)
}
fn compute_with_mask(
&self,
query: &[f32],
keys: &[&[f32]],
values: &[&[f32]],
mask: Option<&[bool]>,
) -> AttentionResult<Vec<f32>> {
if let Some(m) = mask {
let filtered: Vec<(usize, bool)> = m
.iter()
.copied()
.enumerate()
.filter(|(_, keep)| *keep)
.collect();
let filtered_keys: Vec<&[f32]> = filtered.iter().map(|(i, _)| keys[*i]).collect();
let filtered_values: Vec<&[f32]> = filtered.iter().map(|(i, _)| values[*i]).collect();
self.compute(query, &filtered_keys, &filtered_values)
} else {
self.compute(query, keys, values)
}
}
fn dim(&self) -> usize {
self.dim
}
}
#[cfg(test)]
mod tests {
use super::*;
use crate::attention::ScaledDotProductAttention;
#[test]
fn test_flash_attention() {
let attention = FlashAttention::new(64, 16);
let query = vec![0.5; 64];
let keys: Vec<Vec<f32>> = (0..256).map(|_| vec![0.3; 64]).collect();
let values: Vec<Vec<f32>> = (0..256).map(|_| vec![1.0; 64]).collect();
let keys_refs: Vec<&[f32]> = keys.iter().map(|k| k.as_slice()).collect();
let values_refs: Vec<&[f32]> = values.iter().map(|v| v.as_slice()).collect();
let result = attention.compute(&query, &keys_refs, &values_refs).unwrap();
assert_eq!(result.len(), 64);
}
#[test]
fn test_flash_matches_standard() {
let dim = 32;
let flash = FlashAttention::new(dim, 8);
let standard = ScaledDotProductAttention::new(dim);
let query = vec![0.5; dim];
let keys: Vec<Vec<f32>> = (0..16).map(|i| vec![(i as f32) * 0.1; dim]).collect();
let values: Vec<Vec<f32>> = (0..16).map(|i| vec![(i as f32) * 0.2; dim]).collect();
let keys_refs: Vec<&[f32]> = keys.iter().map(|k| k.as_slice()).collect();
let values_refs: Vec<&[f32]> = values.iter().map(|v| v.as_slice()).collect();
let flash_result = flash.compute(&query, &keys_refs, &values_refs).unwrap();
let standard_result = standard.compute(&query, &keys_refs, &values_refs).unwrap();
// Results should be approximately equal
for (f, s) in flash_result.iter().zip(standard_result.iter()) {
assert!((f - s).abs() < 1e-4, "Flash: {}, Standard: {}", f, s);
}
}
#[test]
fn test_causal_flash() {
let attention = FlashAttention::causal(32, 8);
let query = vec![1.0; 32];
let keys = vec![vec![0.5; 32]; 20];
let values = vec![vec![1.0; 32]; 20];
let keys_refs: Vec<&[f32]> = keys.iter().map(|k| k.as_slice()).collect();
let values_refs: Vec<&[f32]> = values.iter().map(|v| v.as_slice()).collect();
let result = attention.compute(&query, &keys_refs, &values_refs).unwrap();
assert_eq!(result.len(), 32);
}
}

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//! Linear attention using random feature approximation (Performer-style)
//!
//! Complexity: O(n * k * d) where k = number of random features
use crate::error::{AttentionError, AttentionResult};
use crate::traits::Attention;
/// Kernel type for linear attention
#[derive(Clone, Debug)]
pub enum KernelType {
/// FAVOR+ softmax approximation
Softmax,
/// ReLU kernel
ReLU,
/// ELU kernel
ELU,
}
/// Linear attention with random feature maps
///
/// Uses kernel trick to achieve O(n * k * d) complexity instead of O(n² * d).
pub struct LinearAttention {
dim: usize,
num_features: usize,
kernel: KernelType,
/// Random projection matrix [num_features x dim]
random_features: Vec<f32>,
}
impl LinearAttention {
/// Create new linear attention
pub fn new(dim: usize, num_features: usize) -> Self {
Self::with_kernel(dim, num_features, KernelType::Softmax)
}
/// Create with specific kernel type
pub fn with_kernel(dim: usize, num_features: usize, kernel: KernelType) -> Self {
// Initialize random features using Box-Muller for Gaussian
let random_features = Self::generate_random_features(dim, num_features);
Self {
dim,
num_features,
kernel,
random_features,
}
}
fn generate_random_features(dim: usize, num_features: usize) -> Vec<f32> {
use std::f32::consts::PI;
let mut features = Vec::with_capacity(num_features * dim);
let mut seed = 42u64;
for _ in 0..((num_features * dim + 1) / 2) {
// Simple LCG for reproducibility
seed = seed.wrapping_mul(6364136223846793005).wrapping_add(1);
let u1 = (seed as f32) / (u64::MAX as f32);
seed = seed.wrapping_mul(6364136223846793005).wrapping_add(1);
let u2 = (seed as f32) / (u64::MAX as f32);
// Box-Muller transform
let r = (-2.0 * u1.max(1e-10).ln()).sqrt();
let theta = 2.0 * PI * u2;
features.push(r * theta.cos());
if features.len() < num_features * dim {
features.push(r * theta.sin());
}
}
features.truncate(num_features * dim);
// Normalize columns
let scale = 1.0 / (dim as f32).sqrt();
features.iter_mut().for_each(|x| *x *= scale);
features
}
/// Apply feature map to input
fn feature_map(&self, x: &[f32]) -> Vec<f32> {
let mut phi = vec![0.0f32; self.num_features];
for (i, phi_i) in phi.iter_mut().enumerate() {
let projection: f32 = x
.iter()
.enumerate()
.map(|(j, &xj)| xj * self.random_features[i * self.dim + j])
.sum();
*phi_i = match self.kernel {
KernelType::Softmax => {
// FAVOR+: exp(projection - ||x||²/2) / sqrt(num_features)
let norm_sq: f32 = x.iter().map(|xi| xi * xi).sum();
(projection - norm_sq / 2.0).exp() / (self.num_features as f32).sqrt()
}
KernelType::ReLU => projection.max(0.0),
KernelType::ELU => {
if projection >= 0.0 {
projection
} else {
projection.exp() - 1.0
}
}
};
}
phi
}
}
impl Attention for LinearAttention {
fn compute(
&self,
query: &[f32],
keys: &[&[f32]],
values: &[&[f32]],
) -> AttentionResult<Vec<f32>> {
if keys.is_empty() {
return Err(AttentionError::InvalidConfig("Empty keys".to_string()));
}
if keys.len() != values.len() {
return Err(AttentionError::DimensionMismatch {
expected: keys.len(),
actual: values.len(),
});
}
if query.len() != self.dim {
return Err(AttentionError::DimensionMismatch {
expected: self.dim,
actual: query.len(),
});
}
// Compute phi(Q)
let phi_q = self.feature_map(query);
// Compute sum_i phi(K_i)^T * V_i and sum_i phi(K_i)
let value_dim = values[0].len();
let mut kv_sum = vec![0.0f32; self.num_features * value_dim]; // [num_features x value_dim]
let mut k_sum = vec![0.0f32; self.num_features];
for (key, value) in keys.iter().zip(values.iter()) {
let phi_k = self.feature_map(key);
// Accumulate phi(K)^T * V (outer product contribution)
for (i, &phi_ki) in phi_k.iter().enumerate() {
for (j, &vj) in value.iter().enumerate() {
kv_sum[i * value_dim + j] += phi_ki * vj;
}
k_sum[i] += phi_ki;
}
}
// Compute output: (phi(Q)^T * KV_sum) / (phi(Q)^T * K_sum)
let mut output = vec![0.0f32; value_dim];
let mut normalizer = 0.0f32;
for (i, &phi_qi) in phi_q.iter().enumerate() {
for (j, out_j) in output.iter_mut().enumerate() {
*out_j += phi_qi * kv_sum[i * value_dim + j];
}
normalizer += phi_qi * k_sum[i];
}
// Normalize
if normalizer.abs() > 1e-8 {
output.iter_mut().for_each(|x| *x /= normalizer);
}
Ok(output)
}
fn compute_with_mask(
&self,
query: &[f32],
keys: &[&[f32]],
values: &[&[f32]],
mask: Option<&[bool]>,
) -> AttentionResult<Vec<f32>> {
if let Some(m) = mask {
let filtered: Vec<(usize, bool)> = m
.iter()
.copied()
.enumerate()
.filter(|(_, keep)| *keep)
.collect();
let filtered_keys: Vec<&[f32]> = filtered.iter().map(|(i, _)| keys[*i]).collect();
let filtered_values: Vec<&[f32]> = filtered.iter().map(|(i, _)| values[*i]).collect();
self.compute(query, &filtered_keys, &filtered_values)
} else {
self.compute(query, keys, values)
}
}
fn dim(&self) -> usize {
self.dim
}
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn test_linear_attention() {
let attention = LinearAttention::new(64, 32);
let query = vec![0.5; 64];
let keys: Vec<Vec<f32>> = (0..100).map(|_| vec![0.3; 64]).collect();
let values: Vec<Vec<f32>> = (0..100).map(|_| vec![1.0; 64]).collect();
let keys_refs: Vec<&[f32]> = keys.iter().map(|k| k.as_slice()).collect();
let values_refs: Vec<&[f32]> = values.iter().map(|v| v.as_slice()).collect();
let result = attention.compute(&query, &keys_refs, &values_refs).unwrap();
assert_eq!(result.len(), 64);
}
#[test]
fn test_kernel_types() {
for kernel in [KernelType::Softmax, KernelType::ReLU, KernelType::ELU] {
let attention = LinearAttention::with_kernel(32, 16, kernel);
let query = vec![1.0; 32];
let keys = vec![vec![0.5; 32]; 10];
let values = vec![vec![1.0; 32]; 10];
let keys_refs: Vec<&[f32]> = keys.iter().map(|k| k.as_slice()).collect();
let values_refs: Vec<&[f32]> = values.iter().map(|v| v.as_slice()).collect();
let result = attention.compute(&query, &keys_refs, &values_refs).unwrap();
assert_eq!(result.len(), 32);
}
}
}

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//! Local-Global attention for efficient long-range dependencies
//!
//! Complexity: O(n * (w + g)) where w = window size, g = global tokens
use crate::error::{AttentionError, AttentionResult};
use crate::traits::Attention;
use crate::utils::stable_softmax;
/// Local-Global attention mechanism
///
/// Combines local windowed attention with global tokens for O(n*(w+g)) complexity.
pub struct LocalGlobalAttention {
dim: usize,
local_window: usize,
num_global_tokens: usize,
scale: f32,
}
impl LocalGlobalAttention {
/// Create new local-global attention
pub fn new(dim: usize, local_window: usize, num_global_tokens: usize) -> Self {
Self {
dim,
local_window,
num_global_tokens,
scale: 1.0 / (dim as f32).sqrt(),
}
}
/// Compute attention scores for local window
fn compute_local_scores(
&self,
query: &[f32],
keys: &[&[f32]],
position: usize,
) -> Vec<(usize, f32)> {
let n = keys.len();
let half_window = self.local_window / 2;
let start = position.saturating_sub(half_window);
let end = (position + half_window + 1).min(n);
(start..end)
.map(|j| {
let score: f32 = query
.iter()
.zip(keys[j].iter())
.map(|(q, k)| q * k)
.sum::<f32>()
* self.scale;
(j, score)
})
.collect()
}
/// Compute attention scores for global tokens
fn compute_global_scores(&self, query: &[f32], keys: &[&[f32]]) -> Vec<(usize, f32)> {
let num_global = self.num_global_tokens.min(keys.len());
(0..num_global)
.map(|j| {
let score: f32 = query
.iter()
.zip(keys[j].iter())
.map(|(q, k)| q * k)
.sum::<f32>()
* self.scale;
(j, score)
})
.collect()
}
}
impl Attention for LocalGlobalAttention {
fn compute(
&self,
query: &[f32],
keys: &[&[f32]],
values: &[&[f32]],
) -> AttentionResult<Vec<f32>> {
if keys.is_empty() {
return Err(AttentionError::InvalidConfig("Empty keys".to_string()));
}
if keys.len() != values.len() {
return Err(AttentionError::DimensionMismatch {
expected: keys.len(),
actual: values.len(),
});
}
if query.len() != self.dim {
return Err(AttentionError::DimensionMismatch {
expected: self.dim,
actual: query.len(),
});
}
// For simplicity, compute at position 0 (middle of sequence would be typical)
let position = keys.len() / 2;
// Collect all attended positions and scores
let mut attended: Vec<(usize, f32)> = Vec::new();
// Add global scores
attended.extend(self.compute_global_scores(query, keys));
// Add local scores
for (idx, score) in self.compute_local_scores(query, keys, position) {
if !attended.iter().any(|(i, _)| *i == idx) {
attended.push((idx, score));
}
}
if attended.is_empty() {
return Err(AttentionError::ComputationError(
"No attended positions".to_string(),
));
}
// Softmax over attended positions
let scores: Vec<f32> = attended.iter().map(|(_, s)| *s).collect();
let weights = stable_softmax(&scores);
// Weighted sum of values
let mut output = vec![0.0f32; self.dim];
for ((idx, _), weight) in attended.iter().zip(weights.iter()) {
for (o, v) in output.iter_mut().zip(values[*idx].iter()) {
*o += weight * v;
}
}
Ok(output)
}
fn compute_with_mask(
&self,
query: &[f32],
keys: &[&[f32]],
values: &[&[f32]],
mask: Option<&[bool]>,
) -> AttentionResult<Vec<f32>> {
if let Some(m) = mask {
let filtered: Vec<(usize, bool)> = m
.iter()
.copied()
.enumerate()
.filter(|(_, keep)| *keep)
.collect();
let filtered_keys: Vec<&[f32]> = filtered.iter().map(|(i, _)| keys[*i]).collect();
let filtered_values: Vec<&[f32]> = filtered.iter().map(|(i, _)| values[*i]).collect();
self.compute(query, &filtered_keys, &filtered_values)
} else {
self.compute(query, keys, values)
}
}
fn dim(&self) -> usize {
self.dim
}
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn test_local_global_attention() {
let attention = LocalGlobalAttention::new(64, 8, 2);
let query = vec![0.5; 64];
let keys: Vec<Vec<f32>> = (0..100).map(|_| vec![0.3; 64]).collect();
let values: Vec<Vec<f32>> = (0..100).map(|i| vec![i as f32; 64]).collect();
let keys_refs: Vec<&[f32]> = keys.iter().map(|k| k.as_slice()).collect();
let values_refs: Vec<&[f32]> = values.iter().map(|v| v.as_slice()).collect();
let result = attention.compute(&query, &keys_refs, &values_refs).unwrap();
assert_eq!(result.len(), 64);
}
#[test]
fn test_small_sequence() {
let attention = LocalGlobalAttention::new(32, 4, 1);
let query = vec![1.0; 32];
let keys = vec![vec![0.5; 32]; 5];
let values = vec![vec![1.0; 32]; 5];
let keys_refs: Vec<&[f32]> = keys.iter().map(|k| k.as_slice()).collect();
let values_refs: Vec<&[f32]> = values.iter().map(|v| v.as_slice()).collect();
let result = attention.compute(&query, &keys_refs, &values_refs).unwrap();
assert_eq!(result.len(), 32);
}
}

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//! Sparse mask utilities for attention patterns
use std::collections::HashSet;
/// Sparse mask for attention patterns
#[derive(Clone, Debug)]
pub struct AttentionMask {
/// Sparse indices as (row, col) pairs
pub indices: Vec<(usize, usize)>,
/// Shape of the full attention matrix
pub shape: (usize, usize),
/// Set for O(1) lookup
lookup: HashSet<(usize, usize)>,
}
impl AttentionMask {
/// Create a new sparse mask from indices
pub fn new(indices: Vec<(usize, usize)>, shape: (usize, usize)) -> Self {
let lookup: HashSet<_> = indices.iter().copied().collect();
Self {
indices,
shape,
lookup,
}
}
/// Check if position is masked (should attend)
#[inline]
pub fn is_attended(&self, row: usize, col: usize) -> bool {
self.lookup.contains(&(row, col))
}
/// Apply mask to attention scores (set non-attended to -inf)
pub fn apply(&self, scores: &mut [f32], seq_len: usize) {
for i in 0..seq_len {
for j in 0..seq_len {
if !self.is_attended(i, j) {
scores[i * seq_len + j] = f32::NEG_INFINITY;
}
}
}
}
/// Create a local window mask
pub fn local_window(n: usize, window_size: usize) -> Self {
let mut indices = Vec::new();
let half_window = window_size / 2;
for i in 0..n {
let start = i.saturating_sub(half_window);
let end = (i + half_window + 1).min(n);
for j in start..end {
indices.push((i, j));
}
}
Self::new(indices, (n, n))
}
/// Create a causal mask (lower triangular)
pub fn causal(n: usize) -> Self {
let mut indices = Vec::new();
for i in 0..n {
for j in 0..=i {
indices.push((i, j));
}
}
Self::new(indices, (n, n))
}
/// Create a strided mask
pub fn strided(n: usize, stride: usize) -> Self {
let mut indices = Vec::new();
for i in 0..n {
for j in (0..n).step_by(stride) {
indices.push((i, j));
}
// Always attend to self
indices.push((i, i));
}
let mut indices: Vec<_> = indices
.into_iter()
.collect::<HashSet<_>>()
.into_iter()
.collect();
indices.sort();
Self::new(indices, (n, n))
}
/// Number of non-zero entries
pub fn nnz(&self) -> usize {
self.indices.len()
}
/// Sparsity ratio (0 = all zeros, 1 = all ones)
pub fn density(&self) -> f32 {
self.nnz() as f32 / (self.shape.0 * self.shape.1) as f32
}
}
/// Builder for creating sparse masks
pub struct SparseMaskBuilder {
n: usize,
indices: Vec<(usize, usize)>,
}
impl SparseMaskBuilder {
pub fn new(n: usize) -> Self {
Self {
n,
indices: Vec::new(),
}
}
/// Add local window pattern
pub fn with_local_window(mut self, window_size: usize) -> Self {
let half_window = window_size / 2;
for i in 0..self.n {
let start = i.saturating_sub(half_window);
let end = (i + half_window + 1).min(self.n);
for j in start..end {
self.indices.push((i, j));
}
}
self
}
/// Add global tokens (all positions attend to these)
pub fn with_global_tokens(mut self, global_indices: &[usize]) -> Self {
for i in 0..self.n {
for &g in global_indices {
if g < self.n {
self.indices.push((i, g));
self.indices.push((g, i));
}
}
}
self
}
/// Add causal masking
pub fn with_causal(mut self) -> Self {
for i in 0..self.n {
for j in 0..=i {
self.indices.push((i, j));
}
}
self
}
/// Build the mask
pub fn build(self) -> AttentionMask {
let mut indices: Vec<_> = self
.indices
.into_iter()
.collect::<HashSet<_>>()
.into_iter()
.collect();
indices.sort();
AttentionMask::new(indices, (self.n, self.n))
}
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn test_local_window_mask() {
let mask = AttentionMask::local_window(10, 3);
// Position 5 should attend to positions 4, 5, 6
assert!(mask.is_attended(5, 4));
assert!(mask.is_attended(5, 5));
assert!(mask.is_attended(5, 6));
// Position 5 should not attend to position 0
assert!(!mask.is_attended(5, 0));
}
#[test]
fn test_causal_mask() {
let mask = AttentionMask::causal(5);
// Lower triangle should be attended
assert!(mask.is_attended(2, 0));
assert!(mask.is_attended(2, 1));
assert!(mask.is_attended(2, 2));
// Upper triangle should not
assert!(!mask.is_attended(2, 3));
assert!(!mask.is_attended(2, 4));
}
#[test]
fn test_builder() {
let mask = SparseMaskBuilder::new(10)
.with_local_window(3)
.with_global_tokens(&[0])
.build();
// All positions should attend to global token 0
for i in 0..10 {
assert!(mask.is_attended(i, 0));
}
}
}

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//! Sparse attention mechanisms for efficient computation on long sequences
//!
//! This module provides sparse attention patterns that reduce complexity from O(n²) to sub-quadratic.
pub mod flash;
pub mod linear;
pub mod local_global;
pub mod mask;
pub use flash::FlashAttention;
pub use linear::LinearAttention;
pub use local_global::LocalGlobalAttention;
pub use mask::{AttentionMask, SparseMaskBuilder};

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//! Window Coherence Metrics
//!
//! Fast structural metrics for measuring attention window stability.
//! These are permission signals, not similarity signals.
use serde::{Deserialize, Serialize};
/// Coherence metric type
#[derive(Debug, Clone, Copy, PartialEq, Eq, Serialize, Deserialize)]
pub enum CoherenceMetric {
/// k-NN graph boundary ratio
BoundaryMass,
/// Cut proxy score (edge cut estimate)
CutProxy,
/// Disagreement across neighbor labels
Disagreement,
/// Average neighbor similarity variance
SimilarityVariance,
}
/// Per-window coherence scores
#[derive(Debug, Clone)]
pub struct WindowCoherence {
/// Overall coherence score (0 = fragmented, 1 = coherent)
pub score: f32,
/// Individual metric scores
pub metric_scores: Vec<f32>,
/// Which metrics were used
pub metrics: Vec<CoherenceMetric>,
/// Number of keys in window
pub window_size: usize,
/// Whether this coherence is stale (needs update)
pub is_stale: bool,
/// Token count since last update
pub tokens_since_update: usize,
}
impl WindowCoherence {
/// Compute coherence from keys
pub fn compute(keys: &[&[f32]], k_neighbors: usize, metrics: &[CoherenceMetric]) -> Self {
let n = keys.len();
if n < 2 {
return Self {
score: 1.0,
metric_scores: vec![1.0],
metrics: metrics.to_vec(),
window_size: n,
is_stale: false,
tokens_since_update: 0,
};
}
// Build k-NN graph (fast approximate)
let knn_graph = Self::build_knn_graph(keys, k_neighbors);
// Compute each metric
let metric_scores: Vec<f32> = metrics
.iter()
.map(|m| Self::compute_metric(*m, keys, &knn_graph))
.collect();
// Average scores for overall coherence
let score = metric_scores.iter().sum::<f32>() / metric_scores.len() as f32;
Self {
score,
metric_scores,
metrics: metrics.to_vec(),
window_size: n,
is_stale: false,
tokens_since_update: 0,
}
}
/// Mark as stale (needs recomputation)
pub fn mark_stale(&mut self) {
self.is_stale = true;
}
/// Increment token counter
pub fn tick(&mut self) {
self.tokens_since_update += 1;
}
/// Check if update is needed based on period
pub fn needs_update(&self, update_period: usize) -> bool {
self.is_stale || self.tokens_since_update >= update_period
}
/// Build approximate k-NN graph
/// Returns [N × k] indices of nearest neighbors
fn build_knn_graph(keys: &[&[f32]], k: usize) -> Vec<Vec<usize>> {
let n = keys.len();
let k = k.min(n - 1);
keys.iter()
.enumerate()
.map(|(i, key)| {
let mut distances: Vec<(usize, f32)> = keys
.iter()
.enumerate()
.filter(|(j, _)| *j != i)
.map(|(j, k2)| (j, Self::squared_distance(key, k2)))
.collect();
distances.sort_unstable_by(|a, b| {
a.1.partial_cmp(&b.1).unwrap_or(std::cmp::Ordering::Equal)
});
distances.iter().take(k).map(|(j, _)| *j).collect()
})
.collect()
}
/// Squared Euclidean distance
#[inline]
fn squared_distance(a: &[f32], b: &[f32]) -> f32 {
a.iter()
.zip(b.iter())
.map(|(&ai, &bi)| (ai - bi) * (ai - bi))
.sum()
}
/// Compute specific metric
fn compute_metric(metric: CoherenceMetric, keys: &[&[f32]], knn_graph: &[Vec<usize>]) -> f32 {
match metric {
CoherenceMetric::BoundaryMass => Self::boundary_mass(knn_graph),
CoherenceMetric::CutProxy => Self::cut_proxy(knn_graph),
CoherenceMetric::Disagreement => Self::disagreement(keys, knn_graph),
CoherenceMetric::SimilarityVariance => Self::similarity_variance(keys, knn_graph),
}
}
/// Boundary mass: fraction of edges going to "far" neighbors
/// High coherence = most edges go to nearby neighbors
fn boundary_mass(knn_graph: &[Vec<usize>]) -> f32 {
if knn_graph.is_empty() {
return 1.0;
}
let n = knn_graph.len();
let mut internal_edges = 0;
let mut total_edges = 0;
for (i, neighbors) in knn_graph.iter().enumerate() {
for &j in neighbors {
total_edges += 1;
// "Internal" if neighbor is within n/4 positions
if (i as i32 - j as i32).unsigned_abs() as usize <= n / 4 {
internal_edges += 1;
}
}
}
if total_edges == 0 {
return 1.0;
}
internal_edges as f32 / total_edges as f32
}
/// Cut proxy: estimate of graph cut cost
/// High coherence = low cut (well-connected)
fn cut_proxy(knn_graph: &[Vec<usize>]) -> f32 {
if knn_graph.is_empty() {
return 1.0;
}
let n = knn_graph.len();
let half = n / 2;
// Count edges crossing the midpoint
let mut crossing = 0;
let mut total = 0;
for (i, neighbors) in knn_graph.iter().enumerate() {
for &j in neighbors {
total += 1;
if (i < half) != (j < half) {
crossing += 1;
}
}
}
if total == 0 {
return 1.0;
}
// Invert: high coherence = few crossings
1.0 - (crossing as f32 / total as f32)
}
/// Disagreement: variance in neighbor similarities
/// High coherence = neighbors have similar similarities
fn disagreement(keys: &[&[f32]], knn_graph: &[Vec<usize>]) -> f32 {
if knn_graph.is_empty() || keys.is_empty() {
return 1.0;
}
let mut total_variance = 0.0f32;
let mut count = 0;
for (i, neighbors) in knn_graph.iter().enumerate() {
if neighbors.is_empty() {
continue;
}
// Similarities to neighbors
let sims: Vec<f32> = neighbors
.iter()
.map(|&j| Self::cosine_similarity(keys[i], keys[j]))
.collect();
let mean: f32 = sims.iter().sum::<f32>() / sims.len() as f32;
let variance: f32 =
sims.iter().map(|s| (s - mean) * (s - mean)).sum::<f32>() / sims.len() as f32;
total_variance += variance;
count += 1;
}
if count == 0 {
return 1.0;
}
// Low variance = high coherence
let avg_variance = total_variance / count as f32;
1.0 - avg_variance.min(1.0)
}
/// Similarity variance across window
fn similarity_variance(keys: &[&[f32]], knn_graph: &[Vec<usize>]) -> f32 {
if knn_graph.is_empty() || keys.is_empty() {
return 1.0;
}
// Collect all neighbor similarities
let mut all_sims = Vec::new();
for (i, neighbors) in knn_graph.iter().enumerate() {
for &j in neighbors {
all_sims.push(Self::cosine_similarity(keys[i], keys[j]));
}
}
if all_sims.is_empty() {
return 1.0;
}
let mean: f32 = all_sims.iter().sum::<f32>() / all_sims.len() as f32;
let variance: f32 = all_sims
.iter()
.map(|s| (s - mean) * (s - mean))
.sum::<f32>()
/ all_sims.len() as f32;
// Low variance + high mean = high coherence
let coherence = mean * (1.0 - variance.sqrt().min(1.0));
coherence.max(0.0).min(1.0)
}
/// Cosine similarity
#[inline]
fn cosine_similarity(a: &[f32], b: &[f32]) -> f32 {
let dot: f32 = a.iter().zip(b.iter()).map(|(&ai, &bi)| ai * bi).sum();
let norm_a: f32 = a.iter().map(|x| x * x).sum::<f32>().sqrt();
let norm_b: f32 = b.iter().map(|x| x * x).sum::<f32>().sqrt();
if norm_a < 1e-8 || norm_b < 1e-8 {
return 0.0;
}
(dot / (norm_a * norm_b)).clamp(-1.0, 1.0)
}
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn test_coherence_computation() {
let keys: Vec<Vec<f32>> = (0..20).map(|i| vec![i as f32 * 0.1; 32]).collect();
let keys_refs: Vec<&[f32]> = keys.iter().map(|k| k.as_slice()).collect();
let coherence = WindowCoherence::compute(
&keys_refs,
5,
&[
CoherenceMetric::BoundaryMass,
CoherenceMetric::SimilarityVariance,
],
);
assert!(coherence.score >= 0.0 && coherence.score <= 1.0);
assert_eq!(coherence.window_size, 20);
}
#[test]
fn test_coherent_window() {
// Highly similar keys = high coherence
let keys: Vec<Vec<f32>> = (0..10).map(|_| vec![0.5f32; 16]).collect();
let keys_refs: Vec<&[f32]> = keys.iter().map(|k| k.as_slice()).collect();
let coherence = WindowCoherence::compute(&keys_refs, 3, &[CoherenceMetric::Disagreement]);
// Should be very coherent
assert!(coherence.score > 0.8);
}
#[test]
fn test_stale_tracking() {
let keys: Vec<Vec<f32>> = vec![vec![1.0; 8]; 5];
let keys_refs: Vec<&[f32]> = keys.iter().map(|k| k.as_slice()).collect();
let mut coherence =
WindowCoherence::compute(&keys_refs, 2, &[CoherenceMetric::BoundaryMass]);
assert!(!coherence.needs_update(4));
coherence.tick();
coherence.tick();
coherence.tick();
coherence.tick();
assert!(coherence.needs_update(4));
}
}

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//! Topology Gated Attention
//!
//! Main attention mechanism that uses topological coherence as a permission signal.
use super::coherence::{CoherenceMetric, WindowCoherence};
use super::policy::{AttentionMode, AttentionPolicy, PolicyConfig};
use crate::error::{AttentionError, AttentionResult};
use crate::traits::Attention;
use serde::{Deserialize, Serialize};
/// Configuration for topology-gated attention
#[derive(Debug, Clone, Serialize, Deserialize)]
pub struct TopologyGatedConfig {
/// Model dimension
pub dim: usize,
/// Number of neighbors for coherence graph
pub k_neighbors: usize,
/// Coherence metrics to use
pub metrics: Vec<CoherenceMetric>,
/// Policy configuration
pub policy: PolicyConfig,
/// Temperature for softmax
pub temperature: f32,
/// Base attention width
pub base_width: usize,
}
impl Default for TopologyGatedConfig {
fn default() -> Self {
Self {
dim: 512,
k_neighbors: 8,
metrics: vec![
CoherenceMetric::BoundaryMass,
CoherenceMetric::SimilarityVariance,
],
policy: PolicyConfig::default(),
temperature: 1.0,
base_width: 64,
}
}
}
/// Topology Gated Attention
///
/// Uses structural coherence to control attention behavior:
/// - Stable mode: full attention, normal updates
/// - Cautious mode: reduced width, increased sparsity
/// - Freeze mode: retrieval only, no updates
#[derive(Debug, Clone)]
pub struct TopologyGatedAttention {
config: TopologyGatedConfig,
policy: AttentionPolicy,
cached_coherence: Option<WindowCoherence>,
}
impl TopologyGatedAttention {
/// Create new topology-gated attention
pub fn new(config: TopologyGatedConfig) -> Self {
let policy = AttentionPolicy::new(config.policy.clone());
Self {
config,
policy,
cached_coherence: None,
}
}
/// Create with dimension
pub fn with_dim(dim: usize) -> Self {
Self::new(TopologyGatedConfig {
dim,
..Default::default()
})
}
/// Update coherence from keys (call periodically, not every token)
pub fn update_coherence(&mut self, keys: &[&[f32]]) {
let coherence =
WindowCoherence::compute(keys, self.config.k_neighbors, &self.config.metrics);
self.policy.determine_mode(coherence.score);
self.cached_coherence = Some(coherence);
}
/// Get current mode
pub fn current_mode(&self) -> AttentionMode {
self.policy.current_mode()
}
/// Check if coherence update is needed
pub fn needs_coherence_update(&self) -> bool {
match &self.cached_coherence {
Some(c) => c.needs_update(self.config.policy.update_period),
None => true,
}
}
/// Tick coherence counter
pub fn tick_coherence(&mut self) {
if let Some(ref mut c) = self.cached_coherence {
c.tick();
}
}
/// Get effective attention width
pub fn get_attention_width(&self) -> usize {
self.policy.get_attention_width(self.config.base_width)
}
/// Check if updates are allowed
pub fn allows_updates(&self) -> bool {
self.policy.allows_updates()
}
/// Compute gated attention
pub fn compute_gated(
&mut self,
query: &[f32],
keys: &[&[f32]],
values: &[&[f32]],
) -> AttentionResult<Vec<f32>> {
// Update coherence if needed
if self.needs_coherence_update() {
self.update_coherence(keys);
} else {
self.tick_coherence();
}
match self.current_mode() {
AttentionMode::Stable => {
// Full attention
self.full_attention(query, keys, values)
}
AttentionMode::Cautious => {
// Sparse attention with reduced width
let width = self.get_attention_width();
self.sparse_attention(query, keys, values, width)
}
AttentionMode::Freeze => {
// Retrieval only: just return query projection
// (no attention, just pass-through with light weighting)
self.retrieval_only(query, keys, values)
}
}
}
/// Full attention (stable mode)
fn full_attention(
&self,
query: &[f32],
keys: &[&[f32]],
values: &[&[f32]],
) -> AttentionResult<Vec<f32>> {
if keys.is_empty() {
return Err(AttentionError::InvalidConfig("No keys".into()));
}
// Standard scaled dot-product attention
let scale = 1.0 / (self.config.dim as f32).sqrt();
let logits: Vec<f32> = keys
.iter()
.map(|k| Self::dot_product_simd(query, k) * scale / self.config.temperature)
.collect();
let weights = Self::stable_softmax(&logits);
self.weighted_sum(&weights, values)
}
/// Sparse attention with limited width (cautious mode)
fn sparse_attention(
&self,
query: &[f32],
keys: &[&[f32]],
values: &[&[f32]],
width: usize,
) -> AttentionResult<Vec<f32>> {
if keys.is_empty() {
return Err(AttentionError::InvalidConfig("No keys".into()));
}
let width = width.min(keys.len());
// Get top-k keys by dot product
let scale = 1.0 / (self.config.dim as f32).sqrt();
let mut scores: Vec<(usize, f32)> = keys
.iter()
.enumerate()
.map(|(i, k)| (i, Self::dot_product_simd(query, k) * scale))
.collect();
scores.sort_unstable_by(|a, b| b.1.partial_cmp(&a.1).unwrap_or(std::cmp::Ordering::Equal));
// Take top-k
let top_k: Vec<(usize, f32)> = scores.into_iter().take(width).collect();
// Compute attention over selected keys
let logits: Vec<f32> = top_k
.iter()
.map(|(_, s)| s / self.config.temperature)
.collect();
let weights = Self::stable_softmax(&logits);
// Weighted sum of selected values
let selected_values: Vec<&[f32]> = top_k.iter().map(|(i, _)| values[*i]).collect();
self.weighted_sum(&weights, &selected_values)
}
/// Retrieval-only mode (freeze mode)
fn retrieval_only(
&self,
query: &[f32],
keys: &[&[f32]],
values: &[&[f32]],
) -> AttentionResult<Vec<f32>> {
if keys.is_empty() {
return Err(AttentionError::InvalidConfig("No keys".into()));
}
// Find single best match and return its value
// This is ultra-sparse: only 1 key contributes
let scale = 1.0 / (self.config.dim as f32).sqrt();
let best_idx = keys
.iter()
.enumerate()
.map(|(i, k)| (i, Self::dot_product_simd(query, k) * scale))
.max_by(|a, b| a.1.partial_cmp(&b.1).unwrap_or(std::cmp::Ordering::Equal))
.map(|(i, _)| i)
.unwrap_or(0);
Ok(values[best_idx].to_vec())
}
/// SIMD-friendly dot product
#[inline(always)]
fn dot_product_simd(a: &[f32], b: &[f32]) -> f32 {
let len = a.len().min(b.len());
let chunks = len / 4;
let remainder = len % 4;
let mut sum0 = 0.0f32;
let mut sum1 = 0.0f32;
let mut sum2 = 0.0f32;
let mut sum3 = 0.0f32;
for i in 0..chunks {
let base = i * 4;
sum0 += a[base] * b[base];
sum1 += a[base + 1] * b[base + 1];
sum2 += a[base + 2] * b[base + 2];
sum3 += a[base + 3] * b[base + 3];
}
let base = chunks * 4;
for i in 0..remainder {
sum0 += a[base + i] * b[base + i];
}
sum0 + sum1 + sum2 + sum3
}
/// Stable softmax
fn stable_softmax(logits: &[f32]) -> Vec<f32> {
if logits.is_empty() {
return vec![];
}
let max_logit = logits.iter().cloned().fold(f32::NEG_INFINITY, f32::max);
let exp_logits: Vec<f32> = logits.iter().map(|&l| (l - max_logit).exp()).collect();
let sum: f32 = exp_logits.iter().sum();
exp_logits.iter().map(|&e| e / sum).collect()
}
/// Weighted sum
fn weighted_sum(&self, weights: &[f32], values: &[&[f32]]) -> AttentionResult<Vec<f32>> {
if weights.is_empty() || values.is_empty() {
return Err(AttentionError::InvalidConfig("Empty inputs".into()));
}
let dim = values[0].len();
let mut output = vec![0.0f32; dim];
for (weight, value) in weights.iter().zip(values.iter()) {
for (o, &v) in output.iter_mut().zip(value.iter()) {
*o += weight * v;
}
}
Ok(output)
}
}
impl Attention for TopologyGatedAttention {
fn compute(
&self,
query: &[f32],
keys: &[&[f32]],
values: &[&[f32]],
) -> AttentionResult<Vec<f32>> {
// For trait, use clone to allow mutation
let mut att = self.clone();
att.compute_gated(query, keys, values)
}
fn compute_with_mask(
&self,
query: &[f32],
keys: &[&[f32]],
values: &[&[f32]],
mask: Option<&[bool]>,
) -> AttentionResult<Vec<f32>> {
if let Some(m) = mask {
let filtered: Vec<(&[f32], &[f32])> = keys
.iter()
.zip(values.iter())
.enumerate()
.filter(|(i, _)| m.get(*i).copied().unwrap_or(true))
.map(|(_, (k, v))| (*k, *v))
.collect();
let filtered_keys: Vec<&[f32]> = filtered.iter().map(|(k, _)| *k).collect();
let filtered_values: Vec<&[f32]> = filtered.iter().map(|(_, v)| *v).collect();
self.compute(query, &filtered_keys, &filtered_values)
} else {
self.compute(query, keys, values)
}
}
fn dim(&self) -> usize {
self.config.dim
}
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn test_topology_gated_attention() {
let mut attention = TopologyGatedAttention::with_dim(32);
let query = vec![0.5f32; 32];
let keys: Vec<Vec<f32>> = (0..20).map(|i| vec![0.1 + i as f32 * 0.02; 32]).collect();
let values: Vec<Vec<f32>> = (0..20).map(|i| vec![i as f32; 32]).collect();
let keys_refs: Vec<&[f32]> = keys.iter().map(|k| k.as_slice()).collect();
let values_refs: Vec<&[f32]> = values.iter().map(|v| v.as_slice()).collect();
let output = attention
.compute_gated(&query, &keys_refs, &values_refs)
.unwrap();
assert_eq!(output.len(), 32);
}
#[test]
fn test_mode_affects_output() {
let config = TopologyGatedConfig {
dim: 16,
base_width: 32,
policy: PolicyConfig {
stable_threshold: 0.9, // Very high threshold
freeze_threshold: 0.8,
..Default::default()
},
..Default::default()
};
let mut attention = TopologyGatedAttention::new(config);
// Create diverse keys (low coherence)
let keys: Vec<Vec<f32>> = (0..10)
.map(|i| {
let mut v = vec![0.0f32; 16];
v[i % 16] = 1.0;
v
})
.collect();
let values: Vec<Vec<f32>> = (0..10).map(|i| vec![i as f32; 16]).collect();
let keys_refs: Vec<&[f32]> = keys.iter().map(|k| k.as_slice()).collect();
let values_refs: Vec<&[f32]> = values.iter().map(|v| v.as_slice()).collect();
attention.update_coherence(&keys_refs);
// With diverse keys, should trigger freeze mode
let query = vec![0.5f32; 16];
let _output = attention
.compute_gated(&query, &keys_refs, &values_refs)
.unwrap();
// Mode should be freeze or cautious due to low coherence
let mode = attention.current_mode();
assert!(mode == AttentionMode::Freeze || mode == AttentionMode::Cautious);
}
#[test]
fn test_coherence_update_period() {
let config = TopologyGatedConfig {
dim: 16,
policy: PolicyConfig {
update_period: 4,
..Default::default()
},
..Default::default()
};
let mut attention = TopologyGatedAttention::new(config);
// No coherence yet
assert!(attention.needs_coherence_update());
let keys: Vec<Vec<f32>> = vec![vec![1.0; 16]; 5];
let keys_refs: Vec<&[f32]> = keys.iter().map(|k| k.as_slice()).collect();
attention.update_coherence(&keys_refs);
assert!(!attention.needs_coherence_update());
// Tick 4 times
for _ in 0..4 {
attention.tick_coherence();
}
assert!(attention.needs_coherence_update());
}
}

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//! Topology Gated Attention
//!
//! Uses topological structure as a permission signal for attention.
//!
//! ## Key Concepts
//!
//! 1. **Window-Level Coherence**: Compute one coherence score per window, reuse for all queries
//! 2. **Fast Graph Primitives**: Use k-NN lists instead of full graph construction
//! 3. **3-Mode Policy**: stable/cautious/freeze based on coherence
//! 4. **Amortized Updates**: Update coherence every T tokens, not every token
//!
//! ## Modes
//!
//! - **Stable**: Full attention, normal updates
//! - **Cautious**: Reduced attention width, increased sparsity
//! - **Freeze**: Retrieval only, no updates, no writes
mod coherence;
mod gated_attention;
mod policy;
pub use coherence::{CoherenceMetric, WindowCoherence};
pub use gated_attention::{TopologyGatedAttention, TopologyGatedConfig};
pub use policy::{AttentionMode, AttentionPolicy, PolicyConfig};
#[cfg(test)]
mod tests {
#[test]
fn test_module_exists() {
assert!(true);
}
}

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//! Attention Control Policy
//!
//! 3-mode policy for controlling attention based on coherence:
//! - Stable: full attention width
//! - Cautious: reduced width, increased sparsity
//! - Freeze: retrieval only, no updates
use serde::{Deserialize, Serialize};
/// Attention operating mode
#[derive(Debug, Clone, Copy, PartialEq, Eq, Serialize, Deserialize)]
pub enum AttentionMode {
/// Full attention, normal updates
Stable,
/// Reduced attention width, increased sparsity
Cautious,
/// Retrieval only, no updates, no writes
Freeze,
}
/// Policy configuration
#[derive(Debug, Clone, Serialize, Deserialize)]
pub struct PolicyConfig {
/// Coherence threshold for stable mode (above this = stable)
pub stable_threshold: f32,
/// Coherence threshold for freeze mode (below this = freeze)
pub freeze_threshold: f32,
/// Attention width multiplier in cautious mode (0.5 = half width)
pub cautious_width_factor: f32,
/// Sparsity increase in cautious mode (2.0 = twice as sparse)
pub cautious_sparsity_factor: f32,
/// How many tokens between coherence updates
pub update_period: usize,
/// Hysteresis factor to prevent mode oscillation
pub hysteresis: f32,
}
impl Default for PolicyConfig {
fn default() -> Self {
Self {
stable_threshold: 0.7,
freeze_threshold: 0.3,
cautious_width_factor: 0.5,
cautious_sparsity_factor: 2.0,
update_period: 4,
hysteresis: 0.05,
}
}
}
/// Attention control policy
#[derive(Debug, Clone)]
pub struct AttentionPolicy {
config: PolicyConfig,
current_mode: AttentionMode,
mode_history: Vec<AttentionMode>,
}
impl AttentionPolicy {
/// Create new policy
pub fn new(config: PolicyConfig) -> Self {
Self {
config,
current_mode: AttentionMode::Stable,
mode_history: Vec::new(),
}
}
/// Determine mode from coherence score
pub fn determine_mode(&mut self, coherence: f32) -> AttentionMode {
let new_mode = self.compute_mode(coherence);
// Apply hysteresis to prevent oscillation
let mode = self.apply_hysteresis(new_mode, coherence);
// Record history
self.mode_history.push(mode);
if self.mode_history.len() > 16 {
self.mode_history.remove(0);
}
self.current_mode = mode;
mode
}
/// Compute mode without hysteresis
fn compute_mode(&self, coherence: f32) -> AttentionMode {
if coherence >= self.config.stable_threshold {
AttentionMode::Stable
} else if coherence <= self.config.freeze_threshold {
AttentionMode::Freeze
} else {
AttentionMode::Cautious
}
}
/// Apply hysteresis to mode transitions
fn apply_hysteresis(&self, new_mode: AttentionMode, coherence: f32) -> AttentionMode {
let h = self.config.hysteresis;
match (self.current_mode, new_mode) {
// Stable -> Cautious: require coherence to drop below threshold - hysteresis
(AttentionMode::Stable, AttentionMode::Cautious) => {
if coherence < self.config.stable_threshold - h {
AttentionMode::Cautious
} else {
AttentionMode::Stable
}
}
// Cautious -> Stable: require coherence to rise above threshold + hysteresis
(AttentionMode::Cautious, AttentionMode::Stable) => {
if coherence > self.config.stable_threshold + h {
AttentionMode::Stable
} else {
AttentionMode::Cautious
}
}
// Cautious -> Freeze: require coherence to drop below threshold - hysteresis
(AttentionMode::Cautious, AttentionMode::Freeze) => {
if coherence < self.config.freeze_threshold - h {
AttentionMode::Freeze
} else {
AttentionMode::Cautious
}
}
// Freeze -> Cautious: require coherence to rise above threshold + hysteresis
(AttentionMode::Freeze, AttentionMode::Cautious) => {
if coherence > self.config.freeze_threshold + h {
AttentionMode::Cautious
} else {
AttentionMode::Freeze
}
}
// Same mode or big jump (Stable <-> Freeze): accept new mode
_ => new_mode,
}
}
/// Get current mode
pub fn current_mode(&self) -> AttentionMode {
self.current_mode
}
/// Get attention width for current mode
pub fn get_attention_width(&self, base_width: usize) -> usize {
match self.current_mode {
AttentionMode::Stable => base_width,
AttentionMode::Cautious => {
((base_width as f32 * self.config.cautious_width_factor) as usize).max(1)
}
AttentionMode::Freeze => 0, // No attention updates
}
}
/// Get sparsity factor for current mode
pub fn get_sparsity_factor(&self) -> f32 {
match self.current_mode {
AttentionMode::Stable => 1.0,
AttentionMode::Cautious => self.config.cautious_sparsity_factor,
AttentionMode::Freeze => f32::INFINITY, // Maximum sparsity
}
}
/// Check if updates are allowed
pub fn allows_updates(&self) -> bool {
self.current_mode != AttentionMode::Freeze
}
/// Check if writes are allowed
pub fn allows_writes(&self) -> bool {
self.current_mode != AttentionMode::Freeze
}
/// Get mode stability (how often mode has been same recently)
pub fn mode_stability(&self) -> f32 {
if self.mode_history.is_empty() {
return 1.0;
}
let current = self.current_mode;
let matches = self.mode_history.iter().filter(|&&m| m == current).count();
matches as f32 / self.mode_history.len() as f32
}
/// Reset to stable mode
pub fn reset(&mut self) {
self.current_mode = AttentionMode::Stable;
self.mode_history.clear();
}
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn test_policy_modes() {
let mut policy = AttentionPolicy::new(PolicyConfig::default());
// High coherence = stable
assert_eq!(policy.determine_mode(0.9), AttentionMode::Stable);
// Medium coherence = cautious
assert_eq!(policy.determine_mode(0.5), AttentionMode::Cautious);
// Low coherence = freeze
assert_eq!(policy.determine_mode(0.1), AttentionMode::Freeze);
}
#[test]
fn test_attention_width() {
let mut policy = AttentionPolicy::new(PolicyConfig::default());
policy.determine_mode(0.9);
assert_eq!(policy.get_attention_width(100), 100);
policy.determine_mode(0.5);
assert_eq!(policy.get_attention_width(100), 50);
policy.determine_mode(0.1);
assert_eq!(policy.get_attention_width(100), 0);
}
#[test]
fn test_hysteresis() {
let mut policy = AttentionPolicy::new(PolicyConfig {
stable_threshold: 0.7,
freeze_threshold: 0.3,
hysteresis: 0.1,
..Default::default()
});
// Start stable
policy.determine_mode(0.8);
assert_eq!(policy.current_mode(), AttentionMode::Stable);
// Drop to 0.65 (below 0.7 but above 0.7 - 0.1 = 0.6)
policy.determine_mode(0.65);
// Should stay stable due to hysteresis
assert_eq!(policy.current_mode(), AttentionMode::Stable);
// Drop to 0.55 (below 0.6)
policy.determine_mode(0.55);
assert_eq!(policy.current_mode(), AttentionMode::Cautious);
}
#[test]
fn test_update_permissions() {
let mut policy = AttentionPolicy::new(PolicyConfig::default());
policy.determine_mode(0.8);
assert!(policy.allows_updates());
assert!(policy.allows_writes());
policy.determine_mode(0.1);
assert!(!policy.allows_updates());
assert!(!policy.allows_writes());
}
}

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//! Curriculum learning for attention training
//!
//! Provides schedulers for progressive training difficulty.
/// Decay type for temperature/parameter annealing
#[derive(Clone, Copy, Debug, Default, PartialEq)]
pub enum DecayType {
#[default]
Linear,
Exponential,
Cosine,
Step,
}
/// Curriculum learning stage
#[derive(Clone, Debug)]
pub struct CurriculumStage {
pub name: String,
pub difficulty: f32, // 0.0 = easy, 1.0 = hard
pub duration: usize, // Steps in this stage
pub temperature: f32, // Softmax temperature
pub negative_count: usize, // Number of negatives
}
impl CurriculumStage {
pub fn new(name: &str) -> Self {
Self {
name: name.to_string(),
difficulty: 0.5,
duration: 1000,
temperature: 1.0,
negative_count: 10,
}
}
pub fn difficulty(mut self, d: f32) -> Self {
self.difficulty = d.clamp(0.0, 1.0);
self
}
pub fn duration(mut self, d: usize) -> Self {
self.duration = d;
self
}
pub fn temperature(mut self, t: f32) -> Self {
self.temperature = t.max(0.01);
self
}
pub fn negative_count(mut self, n: usize) -> Self {
self.negative_count = n.max(1);
self
}
}
/// Curriculum scheduler for progressive training
pub struct CurriculumScheduler {
stages: Vec<CurriculumStage>,
current_stage: usize,
steps_in_stage: usize,
total_steps: usize,
}
impl CurriculumScheduler {
pub fn new() -> Self {
Self {
stages: Vec::new(),
current_stage: 0,
steps_in_stage: 0,
total_steps: 0,
}
}
/// Add a stage to the curriculum
pub fn add_stage(mut self, stage: CurriculumStage) -> Self {
self.stages.push(stage);
self
}
/// Build a default easy-to-hard curriculum
pub fn default_curriculum(total_steps: usize) -> Self {
let stage_duration = total_steps / 4;
Self::new()
.add_stage(
CurriculumStage::new("warm_up")
.difficulty(0.1)
.duration(stage_duration)
.temperature(2.0)
.negative_count(5),
)
.add_stage(
CurriculumStage::new("easy")
.difficulty(0.3)
.duration(stage_duration)
.temperature(1.0)
.negative_count(10),
)
.add_stage(
CurriculumStage::new("medium")
.difficulty(0.6)
.duration(stage_duration)
.temperature(0.5)
.negative_count(20),
)
.add_stage(
CurriculumStage::new("hard")
.difficulty(1.0)
.duration(stage_duration)
.temperature(0.1)
.negative_count(50),
)
}
/// Get current stage
pub fn current_stage(&self) -> Option<&CurriculumStage> {
self.stages.get(self.current_stage)
}
/// Advance one step and return current stage
pub fn step(&mut self) -> Option<&CurriculumStage> {
if self.stages.is_empty() {
return None;
}
self.steps_in_stage += 1;
self.total_steps += 1;
// Check if we should advance to next stage
if let Some(stage) = self.stages.get(self.current_stage) {
if self.steps_in_stage >= stage.duration && self.current_stage < self.stages.len() - 1 {
self.current_stage += 1;
self.steps_in_stage = 0;
}
}
self.current_stage()
}
/// Get current difficulty (0.0 to 1.0)
pub fn difficulty(&self) -> f32 {
self.current_stage().map(|s| s.difficulty).unwrap_or(1.0)
}
/// Get current temperature
pub fn temperature(&self) -> f32 {
self.current_stage().map(|s| s.temperature).unwrap_or(1.0)
}
/// Get current negative count
pub fn negative_count(&self) -> usize {
self.current_stage().map(|s| s.negative_count).unwrap_or(10)
}
/// Check if training is complete
pub fn is_complete(&self) -> bool {
if self.stages.is_empty() {
return true;
}
self.current_stage >= self.stages.len() - 1
&& self.steps_in_stage >= self.stages.last().map(|s| s.duration).unwrap_or(0)
}
/// Get progress (0.0 to 1.0)
pub fn progress(&self) -> f32 {
let total_duration: usize = self.stages.iter().map(|s| s.duration).sum();
if total_duration == 0 {
return 1.0;
}
self.total_steps as f32 / total_duration as f32
}
/// Reset curriculum
pub fn reset(&mut self) {
self.current_stage = 0;
self.steps_in_stage = 0;
self.total_steps = 0;
}
}
impl Default for CurriculumScheduler {
fn default() -> Self {
Self::new()
}
}
/// Temperature annealing scheduler
pub struct TemperatureAnnealing {
initial_temp: f32,
final_temp: f32,
total_steps: usize,
current_step: usize,
decay_type: DecayType,
step_size: usize, // For step decay
}
impl TemperatureAnnealing {
pub fn new(initial: f32, final_temp: f32, steps: usize) -> Self {
Self {
initial_temp: initial,
final_temp: final_temp,
total_steps: steps,
current_step: 0,
decay_type: DecayType::Linear,
step_size: steps / 10,
}
}
pub fn with_decay(mut self, decay: DecayType) -> Self {
self.decay_type = decay;
self
}
pub fn with_step_size(mut self, size: usize) -> Self {
self.step_size = size;
self
}
/// Get current temperature and advance
pub fn step(&mut self) -> f32 {
let temp = self.get_temp();
self.current_step += 1;
temp
}
/// Get current temperature without advancing
pub fn get_temp(&self) -> f32 {
if self.current_step >= self.total_steps {
return self.final_temp;
}
let progress = self.current_step as f32 / self.total_steps as f32;
let range = self.initial_temp - self.final_temp;
match self.decay_type {
DecayType::Linear => self.initial_temp - range * progress,
DecayType::Exponential => {
let decay_rate =
(self.final_temp / self.initial_temp).ln() / self.total_steps as f32;
self.initial_temp * (decay_rate * self.current_step as f32).exp()
}
DecayType::Cosine => {
self.final_temp + 0.5 * range * (1.0 + (std::f32::consts::PI * progress).cos())
}
DecayType::Step => {
let num_steps = self.current_step / self.step_size.max(1);
let step_decay =
range * num_steps as f32 / (self.total_steps / self.step_size.max(1)) as f32;
(self.initial_temp - step_decay).max(self.final_temp)
}
}
}
/// Reset annealing
pub fn reset(&mut self) {
self.current_step = 0;
}
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn test_curriculum_stages() {
let mut curriculum = CurriculumScheduler::new()
.add_stage(CurriculumStage::new("easy").duration(10).difficulty(0.2))
.add_stage(CurriculumStage::new("hard").duration(10).difficulty(0.8));
assert_eq!(curriculum.current_stage().unwrap().name, "easy");
assert!((curriculum.difficulty() - 0.2).abs() < 1e-5);
// Progress through first stage
for _ in 0..10 {
curriculum.step();
}
assert_eq!(curriculum.current_stage().unwrap().name, "hard");
assert!((curriculum.difficulty() - 0.8).abs() < 1e-5);
}
#[test]
fn test_default_curriculum() {
let mut curriculum = CurriculumScheduler::default_curriculum(400);
assert_eq!(curriculum.stages.len(), 4);
assert_eq!(curriculum.current_stage().unwrap().name, "warm_up");
// Progress to end
for _ in 0..400 {
curriculum.step();
}
assert!(curriculum.is_complete());
}
#[test]
fn test_temperature_linear() {
let mut annealing = TemperatureAnnealing::new(1.0, 0.1, 100);
let temp_start = annealing.step();
assert!((temp_start - 1.0).abs() < 0.1);
for _ in 0..99 {
annealing.step();
}
let temp_end = annealing.get_temp();
assert!((temp_end - 0.1).abs() < 0.1);
}
#[test]
fn test_temperature_cosine() {
let mut annealing = TemperatureAnnealing::new(1.0, 0.0, 100).with_decay(DecayType::Cosine);
// Halfway should be approximately middle value
for _ in 0..50 {
annealing.step();
}
let temp_mid = annealing.get_temp();
assert!(temp_mid > 0.4 && temp_mid < 0.6);
}
#[test]
fn test_temperature_step() {
let mut annealing = TemperatureAnnealing::new(1.0, 0.0, 100)
.with_decay(DecayType::Step)
.with_step_size(25);
let temp_0 = annealing.get_temp();
for _ in 0..25 {
annealing.step();
}
let temp_25 = annealing.get_temp();
// Should have dropped
assert!(temp_25 < temp_0);
}
#[test]
fn test_curriculum_progress() {
let mut curriculum = CurriculumScheduler::new()
.add_stage(CurriculumStage::new("stage1").duration(50))
.add_stage(CurriculumStage::new("stage2").duration(50));
assert!((curriculum.progress() - 0.0).abs() < 1e-5);
for _ in 0..50 {
curriculum.step();
}
assert!((curriculum.progress() - 0.5).abs() < 0.05);
}
}

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//! Loss functions for attention-based learning
//!
//! Includes contrastive losses optimized for representation learning.
/// Reduction method for loss computation
#[derive(Clone, Copy, Debug, Default, PartialEq)]
pub enum Reduction {
#[default]
Mean,
Sum,
None,
}
/// Loss trait for attention training
pub trait Loss: Send + Sync {
/// Compute loss value
fn compute(&self, anchor: &[f32], positive: &[f32], negatives: &[&[f32]]) -> f32;
/// Compute loss with gradients for anchor
fn compute_with_gradients(
&self,
anchor: &[f32],
positive: &[f32],
negatives: &[&[f32]],
) -> (f32, Vec<f32>);
}
/// InfoNCE contrastive loss
///
/// L = -log(exp(sim(a,p)/τ) / Σexp(sim(a,n)/τ))
pub struct InfoNCELoss {
temperature: f32,
}
impl InfoNCELoss {
pub fn new(temperature: f32) -> Self {
Self {
temperature: temperature.max(0.01),
}
}
fn cosine_similarity(a: &[f32], b: &[f32]) -> f32 {
let dot: f32 = a.iter().zip(b.iter()).map(|(x, y)| x * y).sum();
let norm_a: f32 = a.iter().map(|x| x * x).sum::<f32>().sqrt().max(1e-8);
let norm_b: f32 = b.iter().map(|x| x * x).sum::<f32>().sqrt().max(1e-8);
dot / (norm_a * norm_b)
}
}
impl Loss for InfoNCELoss {
fn compute(&self, anchor: &[f32], positive: &[f32], negatives: &[&[f32]]) -> f32 {
let pos_sim = Self::cosine_similarity(anchor, positive) / self.temperature;
let neg_sims: Vec<f32> = negatives
.iter()
.map(|n| Self::cosine_similarity(anchor, n) / self.temperature)
.collect();
// Stable log-sum-exp
let max_sim = neg_sims
.iter()
.copied()
.chain(std::iter::once(pos_sim))
.fold(f32::NEG_INFINITY, f32::max);
let sum_exp: f32 =
neg_sims.iter().map(|s| (s - max_sim).exp()).sum::<f32>() + (pos_sim - max_sim).exp();
let log_sum_exp = max_sim + sum_exp.ln();
log_sum_exp - pos_sim
}
fn compute_with_gradients(
&self,
anchor: &[f32],
positive: &[f32],
negatives: &[&[f32]],
) -> (f32, Vec<f32>) {
let dim = anchor.len();
let pos_sim = Self::cosine_similarity(anchor, positive) / self.temperature;
let neg_sims: Vec<f32> = negatives
.iter()
.map(|n| Self::cosine_similarity(anchor, n) / self.temperature)
.collect();
// Compute softmax weights
let max_sim = neg_sims
.iter()
.copied()
.chain(std::iter::once(pos_sim))
.fold(f32::NEG_INFINITY, f32::max);
let pos_exp = (pos_sim - max_sim).exp();
let neg_exps: Vec<f32> = neg_sims.iter().map(|s| (s - max_sim).exp()).collect();
let total_exp: f32 = pos_exp + neg_exps.iter().sum::<f32>();
let pos_weight = pos_exp / total_exp;
let neg_weights: Vec<f32> = neg_exps.iter().map(|e| e / total_exp).collect();
// Loss value
let loss = -(pos_weight.ln());
// Gradient with respect to anchor
// ∂L/∂anchor = (p_pos - 1) * ∂sim(a,p)/∂a + Σ p_neg_i * ∂sim(a,n_i)/∂a
let norm_a: f32 = anchor.iter().map(|x| x * x).sum::<f32>().sqrt().max(1e-8);
let norm_p: f32 = positive.iter().map(|x| x * x).sum::<f32>().sqrt().max(1e-8);
let mut gradients = vec![0.0f32; dim];
// Gradient from positive
let dot_ap: f32 = anchor.iter().zip(positive.iter()).map(|(a, p)| a * p).sum();
for i in 0..dim {
let d_sim = (positive[i] / (norm_a * norm_p))
- (anchor[i] * dot_ap / (norm_a.powi(3) * norm_p));
gradients[i] += (pos_weight - 1.0) * d_sim / self.temperature;
}
// Gradient from negatives
for (neg, &weight) in negatives.iter().zip(neg_weights.iter()) {
let norm_n: f32 = neg.iter().map(|x| x * x).sum::<f32>().sqrt().max(1e-8);
let dot_an: f32 = anchor.iter().zip(neg.iter()).map(|(a, n)| a * n).sum();
for i in 0..dim {
let d_sim =
(neg[i] / (norm_a * norm_n)) - (anchor[i] * dot_an / (norm_a.powi(3) * norm_n));
gradients[i] += weight * d_sim / self.temperature;
}
}
(loss, gradients)
}
}
/// Local contrastive loss for neighborhood preservation
pub struct LocalContrastiveLoss {
margin: f32,
reduction: Reduction,
}
impl LocalContrastiveLoss {
pub fn new(margin: f32) -> Self {
Self {
margin,
reduction: Reduction::Mean,
}
}
pub fn with_reduction(mut self, reduction: Reduction) -> Self {
self.reduction = reduction;
self
}
fn euclidean_distance(a: &[f32], b: &[f32]) -> f32 {
a.iter()
.zip(b.iter())
.map(|(x, y)| (x - y).powi(2))
.sum::<f32>()
.sqrt()
}
}
impl Loss for LocalContrastiveLoss {
fn compute(&self, anchor: &[f32], positive: &[f32], negatives: &[&[f32]]) -> f32 {
let d_pos = Self::euclidean_distance(anchor, positive);
let losses: Vec<f32> = negatives
.iter()
.map(|neg| {
let d_neg = Self::euclidean_distance(anchor, neg);
(d_pos - d_neg + self.margin).max(0.0)
})
.collect();
match self.reduction {
Reduction::Mean => losses.iter().sum::<f32>() / losses.len().max(1) as f32,
Reduction::Sum => losses.iter().sum(),
Reduction::None => losses.first().copied().unwrap_or(0.0),
}
}
fn compute_with_gradients(
&self,
anchor: &[f32],
positive: &[f32],
negatives: &[&[f32]],
) -> (f32, Vec<f32>) {
let dim = anchor.len();
let d_pos = Self::euclidean_distance(anchor, positive);
let mut total_loss = 0.0f32;
let mut gradients = vec![0.0f32; dim];
let mut active_count = 0;
for neg in negatives.iter() {
let d_neg = Self::euclidean_distance(anchor, neg);
let margin_loss = d_pos - d_neg + self.margin;
if margin_loss > 0.0 {
total_loss += margin_loss;
active_count += 1;
// Gradient: ∂L/∂a = (a - p)/d_pos - (a - n)/d_neg
for i in 0..dim {
if d_pos > 1e-8 {
gradients[i] += (anchor[i] - positive[i]) / d_pos;
}
if d_neg > 1e-8 {
gradients[i] -= (anchor[i] - neg[i]) / d_neg;
}
}
}
}
let loss = match self.reduction {
Reduction::Mean if active_count > 0 => {
gradients.iter_mut().for_each(|g| *g /= active_count as f32);
total_loss / active_count as f32
}
Reduction::Sum => total_loss,
_ => total_loss / negatives.len().max(1) as f32,
};
(loss, gradients)
}
}
/// Spectral regularization for smooth representations
pub struct SpectralRegularization {
weight: f32,
}
impl SpectralRegularization {
pub fn new(weight: f32) -> Self {
Self { weight }
}
/// Compute spectral norm regularization for a batch of embeddings
pub fn compute_batch(&self, embeddings: &[&[f32]]) -> f32 {
if embeddings.is_empty() {
return 0.0;
}
let dim = embeddings[0].len();
let n = embeddings.len();
// Compute covariance matrix diagonal approximation
let mut var_sum = 0.0f32;
for d in 0..dim {
let mean: f32 = embeddings.iter().map(|e| e[d]).sum::<f32>() / n as f32;
let var: f32 = embeddings
.iter()
.map(|e| (e[d] - mean).powi(2))
.sum::<f32>()
/ n as f32;
var_sum += var;
}
// Regularization: encourage uniform variance across dimensions
let avg_var = var_sum / dim as f32;
let var_of_var: f32 = {
let mut sum = 0.0;
for d in 0..dim {
let mean: f32 = embeddings.iter().map(|e| e[d]).sum::<f32>() / n as f32;
let var: f32 = embeddings
.iter()
.map(|e| (e[d] - mean).powi(2))
.sum::<f32>()
/ n as f32;
sum += (var - avg_var).powi(2);
}
sum / dim as f32
};
self.weight * var_of_var
}
}
impl Loss for SpectralRegularization {
fn compute(&self, anchor: &[f32], positive: &[f32], negatives: &[&[f32]]) -> f32 {
let mut all_embeddings: Vec<&[f32]> = Vec::with_capacity(2 + negatives.len());
all_embeddings.push(anchor);
all_embeddings.push(positive);
all_embeddings.extend(negatives.iter().copied());
self.compute_batch(&all_embeddings)
}
fn compute_with_gradients(
&self,
anchor: &[f32],
positive: &[f32],
negatives: &[&[f32]],
) -> (f32, Vec<f32>) {
let loss = self.compute(anchor, positive, negatives);
// Simplified: no gradient for spectral reg (typically used as auxiliary)
let gradients = vec![0.0f32; anchor.len()];
(loss, gradients)
}
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn test_infonce_loss() {
let loss = InfoNCELoss::new(0.07);
let anchor = vec![1.0, 0.0, 0.0];
let positive = vec![0.9, 0.1, 0.0];
let negatives: Vec<Vec<f32>> = vec![vec![0.0, 1.0, 0.0], vec![0.0, 0.0, 1.0]];
let neg_refs: Vec<&[f32]> = negatives.iter().map(|n| n.as_slice()).collect();
let loss_val = loss.compute(&anchor, &positive, &neg_refs);
assert!(loss_val >= 0.0);
}
#[test]
fn test_infonce_gradients() {
let loss = InfoNCELoss::new(0.1);
let anchor = vec![0.5; 64];
let positive = vec![0.6; 64];
let negatives: Vec<Vec<f32>> = vec![vec![0.1; 64]; 5];
let neg_refs: Vec<&[f32]> = negatives.iter().map(|n| n.as_slice()).collect();
let (loss_val, grads) = loss.compute_with_gradients(&anchor, &positive, &neg_refs);
assert!(loss_val >= 0.0);
assert_eq!(grads.len(), 64);
}
#[test]
fn test_local_contrastive() {
let loss = LocalContrastiveLoss::new(1.0);
let anchor = vec![0.0, 0.0];
let positive = vec![0.1, 0.0]; // Close
let negatives: Vec<Vec<f32>> = vec![vec![2.0, 0.0], vec![0.0, 2.0]]; // Far
let neg_refs: Vec<&[f32]> = negatives.iter().map(|n| n.as_slice()).collect();
let loss_val = loss.compute(&anchor, &positive, &neg_refs);
assert!(loss_val >= 0.0);
}
#[test]
fn test_spectral_regularization() {
let reg = SpectralRegularization::new(0.01);
let embeddings: Vec<Vec<f32>> = (0..10).map(|i| vec![i as f32 * 0.1; 32]).collect();
let emb_refs: Vec<&[f32]> = embeddings.iter().map(|e| e.as_slice()).collect();
let loss_val = reg.compute_batch(&emb_refs);
assert!(loss_val >= 0.0);
}
}

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//! Hard negative mining strategies
//!
//! Provides various methods for selecting informative negative samples.
/// Mining strategy enumeration
#[derive(Clone, Copy, Debug, Default, PartialEq)]
pub enum MiningStrategy {
#[default]
Random,
HardNegative,
SemiHard,
DistanceWeighted,
}
/// Trait for negative sample mining
pub trait NegativeMiner: Send + Sync {
/// Mine negatives for an anchor from a candidate pool
fn mine(
&self,
anchor: &[f32],
positive: &[f32],
candidates: &[&[f32]],
num_negatives: usize,
) -> Vec<usize>;
/// Get mining strategy
fn strategy(&self) -> MiningStrategy;
}
/// Hard negative miner that selects closest negatives
pub struct HardNegativeMiner {
strategy: MiningStrategy,
margin: f32,
temperature: f32,
}
impl HardNegativeMiner {
pub fn new(strategy: MiningStrategy) -> Self {
Self {
strategy,
margin: 0.1,
temperature: 1.0,
}
}
pub fn with_margin(mut self, margin: f32) -> Self {
self.margin = margin;
self
}
pub fn with_temperature(mut self, temp: f32) -> Self {
self.temperature = temp;
self
}
fn euclidean_distance(a: &[f32], b: &[f32]) -> f32 {
a.iter()
.zip(b.iter())
.map(|(x, y)| (x - y).powi(2))
.sum::<f32>()
.sqrt()
}
fn cosine_similarity(a: &[f32], b: &[f32]) -> f32 {
let dot: f32 = a.iter().zip(b.iter()).map(|(x, y)| x * y).sum();
let norm_a: f32 = a.iter().map(|x| x * x).sum::<f32>().sqrt().max(1e-8);
let norm_b: f32 = b.iter().map(|x| x * x).sum::<f32>().sqrt().max(1e-8);
dot / (norm_a * norm_b)
}
/// Select random indices
fn random_selection(num_candidates: usize, num_select: usize, seed: u64) -> Vec<usize> {
let mut indices: Vec<usize> = (0..num_candidates).collect();
let mut current_seed = seed;
// Fisher-Yates shuffle
for i in (1..indices.len()).rev() {
current_seed = current_seed
.wrapping_mul(6364136223846793005)
.wrapping_add(1);
let j = (current_seed as usize) % (i + 1);
indices.swap(i, j);
}
indices.truncate(num_select.min(num_candidates));
indices
}
/// Select hardest negatives (closest to anchor)
fn hard_negative_selection(
&self,
anchor: &[f32],
candidates: &[&[f32]],
num_select: usize,
) -> Vec<usize> {
let mut indexed_sims: Vec<(usize, f32)> = candidates
.iter()
.enumerate()
.map(|(i, c)| (i, Self::cosine_similarity(anchor, c)))
.collect();
// Sort by similarity descending (higher sim = harder negative)
indexed_sims.sort_by(|a, b| b.1.partial_cmp(&a.1).unwrap_or(std::cmp::Ordering::Equal));
indexed_sims
.into_iter()
.take(num_select.min(candidates.len()))
.map(|(i, _)| i)
.collect()
}
/// Select semi-hard negatives (within margin of positive)
fn semi_hard_selection(
&self,
anchor: &[f32],
positive: &[f32],
candidates: &[&[f32]],
num_select: usize,
) -> Vec<usize> {
let d_pos = Self::euclidean_distance(anchor, positive);
let mut semi_hard: Vec<(usize, f32)> = candidates
.iter()
.enumerate()
.filter_map(|(i, c)| {
let d_neg = Self::euclidean_distance(anchor, c);
// Semi-hard: d_pos < d_neg < d_pos + margin
if d_neg > d_pos && d_neg < d_pos + self.margin {
Some((i, d_neg))
} else {
None
}
})
.collect();
// Sort by distance (prefer harder ones)
semi_hard.sort_by(|a, b| a.1.partial_cmp(&b.1).unwrap_or(std::cmp::Ordering::Equal));
let mut result: Vec<usize> = semi_hard.into_iter().map(|(i, _)| i).collect();
// If not enough semi-hard, fill with hard negatives
if result.len() < num_select {
let hard = self.hard_negative_selection(anchor, candidates, num_select - result.len());
for idx in hard {
if !result.contains(&idx) {
result.push(idx);
}
}
}
result.truncate(num_select);
result
}
/// Distance-weighted sampling
fn distance_weighted_selection(
&self,
anchor: &[f32],
candidates: &[&[f32]],
num_select: usize,
) -> Vec<usize> {
if candidates.is_empty() {
return vec![];
}
// Compute weights based on similarity (closer = higher weight)
let sims: Vec<f32> = candidates
.iter()
.map(|c| Self::cosine_similarity(anchor, c) / self.temperature)
.collect();
// Softmax weights
let max_sim = sims.iter().copied().fold(f32::NEG_INFINITY, f32::max);
let exp_sims: Vec<f32> = sims.iter().map(|s| (s - max_sim).exp()).collect();
let sum_exp: f32 = exp_sims.iter().sum();
let probs: Vec<f32> = exp_sims.iter().map(|e| e / sum_exp).collect();
// Sample without replacement using the probabilities
let mut remaining: Vec<(usize, f32)> = probs.into_iter().enumerate().collect();
let mut selected = Vec::with_capacity(num_select);
let mut seed = 42u64;
while selected.len() < num_select && !remaining.is_empty() {
// Random value
seed = seed.wrapping_mul(6364136223846793005).wrapping_add(1);
let r = (seed as f32) / (u64::MAX as f32);
// Select based on cumulative probability
let total: f32 = remaining.iter().map(|(_, p)| p).sum();
let mut cumsum = 0.0;
let mut select_idx = 0;
for (i, (_, p)) in remaining.iter().enumerate() {
cumsum += p / total;
if r < cumsum {
select_idx = i;
break;
}
}
let (orig_idx, _) = remaining.remove(select_idx);
selected.push(orig_idx);
}
selected
}
}
impl NegativeMiner for HardNegativeMiner {
fn mine(
&self,
anchor: &[f32],
positive: &[f32],
candidates: &[&[f32]],
num_negatives: usize,
) -> Vec<usize> {
match self.strategy {
MiningStrategy::Random => Self::random_selection(candidates.len(), num_negatives, 42),
MiningStrategy::HardNegative => {
self.hard_negative_selection(anchor, candidates, num_negatives)
}
MiningStrategy::SemiHard => {
self.semi_hard_selection(anchor, positive, candidates, num_negatives)
}
MiningStrategy::DistanceWeighted => {
self.distance_weighted_selection(anchor, candidates, num_negatives)
}
}
}
fn strategy(&self) -> MiningStrategy {
self.strategy
}
}
/// In-batch negative mining (uses other batch items as negatives)
pub struct InBatchMiner {
exclude_positive: bool,
}
impl InBatchMiner {
pub fn new() -> Self {
Self {
exclude_positive: true,
}
}
pub fn include_positive(mut self) -> Self {
self.exclude_positive = false;
self
}
/// Get negative indices from a batch for a given anchor index
pub fn get_negatives(
&self,
anchor_idx: usize,
positive_idx: usize,
batch_size: usize,
) -> Vec<usize> {
(0..batch_size)
.filter(|&i| i != anchor_idx && (!self.exclude_positive || i != positive_idx))
.collect()
}
}
impl Default for InBatchMiner {
fn default() -> Self {
Self::new()
}
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn test_random_mining() {
let miner = HardNegativeMiner::new(MiningStrategy::Random);
let anchor = vec![1.0, 0.0, 0.0];
let positive = vec![0.9, 0.1, 0.0];
let candidates: Vec<Vec<f32>> = (0..20).map(|i| vec![i as f32 * 0.05; 3]).collect();
let cand_refs: Vec<&[f32]> = candidates.iter().map(|c| c.as_slice()).collect();
let selected = miner.mine(&anchor, &positive, &cand_refs, 5);
assert_eq!(selected.len(), 5);
}
#[test]
fn test_hard_negative_mining() {
let miner = HardNegativeMiner::new(MiningStrategy::HardNegative);
let anchor = vec![1.0, 0.0, 0.0];
let positive = vec![0.9, 0.1, 0.0];
// Create candidates with varying similarity to anchor
let candidates: Vec<Vec<f32>> = vec![
vec![0.9, 0.1, 0.0], // Similar to anchor
vec![0.5, 0.5, 0.0], // Medium
vec![0.0, 1.0, 0.0], // Different
vec![0.0, 0.0, 1.0], // Different
];
let cand_refs: Vec<&[f32]> = candidates.iter().map(|c| c.as_slice()).collect();
let selected = miner.mine(&anchor, &positive, &cand_refs, 2);
// Should select the most similar ones first
assert!(selected.contains(&0)); // Most similar
}
#[test]
fn test_semi_hard_mining() {
let miner = HardNegativeMiner::new(MiningStrategy::SemiHard).with_margin(1.0);
let anchor = vec![0.0, 0.0];
let positive = vec![0.5, 0.0]; // Distance 0.5
let candidates: Vec<Vec<f32>> = vec![
vec![0.3, 0.0], // Too easy (d = 0.3 < 0.5)
vec![0.7, 0.0], // Semi-hard (0.5 < 0.7 < 1.5)
vec![1.0, 0.0], // Semi-hard
vec![3.0, 0.0], // Too hard (d = 3.0 > 1.5)
];
let cand_refs: Vec<&[f32]> = candidates.iter().map(|c| c.as_slice()).collect();
let selected = miner.mine(&anchor, &positive, &cand_refs, 2);
assert!(!selected.is_empty());
}
#[test]
fn test_distance_weighted() {
let miner = HardNegativeMiner::new(MiningStrategy::DistanceWeighted).with_temperature(0.5);
let anchor = vec![1.0, 0.0];
let positive = vec![0.9, 0.1];
let candidates: Vec<Vec<f32>> = (0..10).map(|i| vec![0.1 * i as f32; 2]).collect();
let cand_refs: Vec<&[f32]> = candidates.iter().map(|c| c.as_slice()).collect();
let selected = miner.mine(&anchor, &positive, &cand_refs, 3);
assert_eq!(selected.len(), 3);
}
#[test]
fn test_in_batch_miner() {
let miner = InBatchMiner::new();
let negatives = miner.get_negatives(2, 5, 10);
assert!(!negatives.contains(&2)); // Exclude anchor
assert!(!negatives.contains(&5)); // Exclude positive
assert_eq!(negatives.len(), 8);
}
}

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//! Training utilities for attention-based graph neural networks
//!
//! This module provides training infrastructure including:
//! - Loss functions (InfoNCE, contrastive, spectral regularization)
//! - Optimizers (SGD, Adam, AdamW)
//! - Curriculum learning schedulers
//! - Hard negative mining strategies
pub mod curriculum;
pub mod loss;
pub mod mining;
pub mod optimizer;
pub use curriculum::{CurriculumScheduler, CurriculumStage, DecayType, TemperatureAnnealing};
pub use loss::{InfoNCELoss, LocalContrastiveLoss, Loss, Reduction, SpectralRegularization};
pub use mining::{HardNegativeMiner, MiningStrategy, NegativeMiner};
pub use optimizer::{Adam, AdamW, Optimizer, SGD};
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn test_training_components_integration() {
// Test optimizer with loss
let mut optimizer = Adam::new(128, 0.001);
let loss = InfoNCELoss::new(0.07);
let mut params = vec![0.5; 128];
let anchor = vec![1.0; 128];
let positive = vec![0.9; 128];
let negatives: Vec<Vec<f32>> = (0..5).map(|_| vec![0.1; 128]).collect();
let neg_refs: Vec<&[f32]> = negatives.iter().map(|v| v.as_slice()).collect();
let (loss_val, gradients) = loss.compute_with_gradients(&anchor, &positive, &neg_refs);
assert!(loss_val >= 0.0);
assert_eq!(gradients.len(), anchor.len());
optimizer.step(&mut params, &gradients);
}
}

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//! Optimizers for attention training
//!
//! Provides standard optimizers with momentum and adaptive learning rates.
/// Optimizer trait for parameter updates
pub trait Optimizer: Send + Sync {
/// Update parameters using gradients
fn step(&mut self, params: &mut [f32], gradients: &[f32]);
/// Reset optimizer state
fn reset(&mut self);
/// Get current learning rate
fn learning_rate(&self) -> f32;
/// Set learning rate
fn set_learning_rate(&mut self, lr: f32);
}
/// Stochastic Gradient Descent with momentum
pub struct SGD {
lr: f32,
momentum: f32,
weight_decay: f32,
velocity: Vec<f32>,
nesterov: bool,
}
impl SGD {
pub fn new(dim: usize, lr: f32) -> Self {
Self {
lr,
momentum: 0.0,
weight_decay: 0.0,
velocity: vec![0.0; dim],
nesterov: false,
}
}
pub fn with_momentum(mut self, momentum: f32) -> Self {
self.momentum = momentum;
self
}
pub fn with_weight_decay(mut self, wd: f32) -> Self {
self.weight_decay = wd;
self
}
pub fn with_nesterov(mut self, nesterov: bool) -> Self {
self.nesterov = nesterov;
self
}
}
impl Optimizer for SGD {
fn step(&mut self, params: &mut [f32], gradients: &[f32]) {
if self.velocity.len() != params.len() {
self.velocity = vec![0.0; params.len()];
}
for i in 0..params.len() {
let mut g = gradients[i];
// Weight decay
if self.weight_decay > 0.0 {
g += self.weight_decay * params[i];
}
// Update velocity
self.velocity[i] = self.momentum * self.velocity[i] + g;
// Update parameters
if self.nesterov {
params[i] -= self.lr * (g + self.momentum * self.velocity[i]);
} else {
params[i] -= self.lr * self.velocity[i];
}
}
}
fn reset(&mut self) {
self.velocity.fill(0.0);
}
fn learning_rate(&self) -> f32 {
self.lr
}
fn set_learning_rate(&mut self, lr: f32) {
self.lr = lr;
}
}
/// Adam optimizer with bias correction
pub struct Adam {
lr: f32,
beta1: f32,
beta2: f32,
epsilon: f32,
weight_decay: f32,
m: Vec<f32>, // First moment
v: Vec<f32>, // Second moment
t: usize, // Timestep
}
impl Adam {
pub fn new(dim: usize, lr: f32) -> Self {
Self {
lr,
beta1: 0.9,
beta2: 0.999,
epsilon: 1e-8,
weight_decay: 0.0,
m: vec![0.0; dim],
v: vec![0.0; dim],
t: 0,
}
}
pub fn with_betas(mut self, beta1: f32, beta2: f32) -> Self {
self.beta1 = beta1;
self.beta2 = beta2;
self
}
pub fn with_epsilon(mut self, eps: f32) -> Self {
self.epsilon = eps;
self
}
pub fn with_weight_decay(mut self, wd: f32) -> Self {
self.weight_decay = wd;
self
}
}
impl Optimizer for Adam {
fn step(&mut self, params: &mut [f32], gradients: &[f32]) {
if self.m.len() != params.len() {
self.m = vec![0.0; params.len()];
self.v = vec![0.0; params.len()];
}
self.t += 1;
let bias_correction1 = 1.0 - self.beta1.powi(self.t as i32);
let bias_correction2 = 1.0 - self.beta2.powi(self.t as i32);
for i in 0..params.len() {
let g = gradients[i];
// Update moments
self.m[i] = self.beta1 * self.m[i] + (1.0 - self.beta1) * g;
self.v[i] = self.beta2 * self.v[i] + (1.0 - self.beta2) * g * g;
// Bias-corrected estimates
let m_hat = self.m[i] / bias_correction1;
let v_hat = self.v[i] / bias_correction2;
// Update with optional weight decay
let update = m_hat / (v_hat.sqrt() + self.epsilon);
params[i] -= self.lr * (update + self.weight_decay * params[i]);
}
}
fn reset(&mut self) {
self.m.fill(0.0);
self.v.fill(0.0);
self.t = 0;
}
fn learning_rate(&self) -> f32 {
self.lr
}
fn set_learning_rate(&mut self, lr: f32) {
self.lr = lr;
}
}
/// AdamW optimizer (decoupled weight decay)
pub struct AdamW {
inner: Adam,
weight_decay: f32,
}
impl AdamW {
pub fn new(dim: usize, lr: f32) -> Self {
Self {
inner: Adam::new(dim, lr),
weight_decay: 0.01,
}
}
pub fn with_weight_decay(mut self, wd: f32) -> Self {
self.weight_decay = wd;
self
}
pub fn with_betas(mut self, beta1: f32, beta2: f32) -> Self {
self.inner = self.inner.with_betas(beta1, beta2);
self
}
}
impl Optimizer for AdamW {
fn step(&mut self, params: &mut [f32], gradients: &[f32]) {
if self.inner.m.len() != params.len() {
self.inner.m = vec![0.0; params.len()];
self.inner.v = vec![0.0; params.len()];
}
self.inner.t += 1;
let bias_correction1 = 1.0 - self.inner.beta1.powi(self.inner.t as i32);
let bias_correction2 = 1.0 - self.inner.beta2.powi(self.inner.t as i32);
for i in 0..params.len() {
let g = gradients[i];
// Update moments
self.inner.m[i] = self.inner.beta1 * self.inner.m[i] + (1.0 - self.inner.beta1) * g;
self.inner.v[i] = self.inner.beta2 * self.inner.v[i] + (1.0 - self.inner.beta2) * g * g;
// Bias-corrected estimates
let m_hat = self.inner.m[i] / bias_correction1;
let v_hat = self.inner.v[i] / bias_correction2;
// Decoupled weight decay (applied to params directly, not through gradient)
params[i] *= 1.0 - self.inner.lr * self.weight_decay;
// Adam update
params[i] -= self.inner.lr * m_hat / (v_hat.sqrt() + self.inner.epsilon);
}
}
fn reset(&mut self) {
self.inner.reset();
}
fn learning_rate(&self) -> f32 {
self.inner.lr
}
fn set_learning_rate(&mut self, lr: f32) {
self.inner.lr = lr;
}
}
/// Learning rate scheduler
pub struct LearningRateScheduler {
initial_lr: f32,
warmup_steps: usize,
decay_steps: usize,
min_lr: f32,
current_step: usize,
}
impl LearningRateScheduler {
pub fn new(initial_lr: f32) -> Self {
Self {
initial_lr,
warmup_steps: 0,
decay_steps: 100000,
min_lr: 1e-7,
current_step: 0,
}
}
pub fn with_warmup(mut self, steps: usize) -> Self {
self.warmup_steps = steps;
self
}
pub fn with_decay(mut self, steps: usize) -> Self {
self.decay_steps = steps;
self
}
pub fn with_min_lr(mut self, min_lr: f32) -> Self {
self.min_lr = min_lr;
self
}
/// Get current learning rate and advance step
pub fn step(&mut self) -> f32 {
let lr = self.get_lr();
self.current_step += 1;
lr
}
/// Get learning rate without advancing
pub fn get_lr(&self) -> f32 {
if self.current_step < self.warmup_steps {
// Linear warmup
self.initial_lr * (self.current_step + 1) as f32 / self.warmup_steps as f32
} else {
// Cosine decay
let progress = (self.current_step - self.warmup_steps) as f32 / self.decay_steps as f32;
let decay = 0.5 * (1.0 + (std::f32::consts::PI * progress.min(1.0)).cos());
self.min_lr + (self.initial_lr - self.min_lr) * decay
}
}
/// Reset scheduler
pub fn reset(&mut self) {
self.current_step = 0;
}
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn test_sgd() {
let mut opt = SGD::new(4, 0.1);
let mut params = vec![1.0, 2.0, 3.0, 4.0];
let gradients = vec![0.1, 0.2, 0.3, 0.4];
opt.step(&mut params, &gradients);
assert!(params[0] < 1.0);
assert!(params[1] < 2.0);
}
#[test]
fn test_sgd_momentum() {
let mut opt = SGD::new(4, 0.1).with_momentum(0.9);
let mut params = vec![1.0; 4];
let gradients = vec![1.0; 4];
// Multiple steps should accumulate momentum
for _ in 0..5 {
opt.step(&mut params, &gradients);
}
assert!(params[0] < 0.0);
}
#[test]
fn test_adam() {
let mut opt = Adam::new(64, 0.001);
let mut params = vec![0.5; 64];
let gradients = vec![0.1; 64];
for _ in 0..100 {
opt.step(&mut params, &gradients);
}
// Should have moved toward 0
assert!(params[0] < 0.5);
}
#[test]
fn test_adamw() {
let mut opt = AdamW::new(32, 0.001).with_weight_decay(0.01);
let mut params = vec![1.0; 32];
let gradients = vec![0.0; 32]; // No gradient, only weight decay
for _ in 0..100 {
opt.step(&mut params, &gradients);
}
// Weight decay should shrink params
assert!(params[0] < 1.0);
}
#[test]
fn test_lr_scheduler_warmup() {
let mut scheduler = LearningRateScheduler::new(0.001).with_warmup(100);
let lr_start = scheduler.step();
assert!(lr_start < 0.001); // Still warming up
for _ in 0..99 {
scheduler.step();
}
let lr_end_warmup = scheduler.get_lr();
assert!((lr_end_warmup - 0.001).abs() < 1e-5);
}
#[test]
fn test_lr_scheduler_decay() {
let mut scheduler = LearningRateScheduler::new(0.001)
.with_warmup(0)
.with_decay(100)
.with_min_lr(0.0001);
let lr_start = scheduler.step();
assert!((lr_start - 0.001).abs() < 1e-5);
for _ in 0..100 {
scheduler.step();
}
let lr_end = scheduler.get_lr();
assert!((lr_end - 0.0001).abs() < 1e-5);
}
}

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//! Trait definitions for attention mechanisms.
//!
//! This module defines the core traits that all attention mechanisms implement,
//! including standard attention, graph attention, geometric attention, and
//! trainable attention with backward pass support.
use crate::error::AttentionResult;
/// Mask for sparse attention patterns.
#[derive(Clone, Debug)]
pub struct SparseMask {
/// Row indices for sparse mask
pub rows: Vec<usize>,
/// Column indices for sparse mask
pub cols: Vec<usize>,
/// Optional values (if not provided, defaults to 1.0)
pub values: Option<Vec<f32>>,
}
/// Edge information for graph attention.
#[derive(Clone, Debug)]
pub struct EdgeInfo {
/// Source node index
pub src: usize,
/// Destination node index
pub dst: usize,
/// Optional edge features
pub features: Option<Vec<f32>>,
}
/// Core attention mechanism trait.
///
/// Implements the basic attention computation: Attention(Q, K, V) = softmax(QK^T / sqrt(d_k))V
pub trait Attention: Send + Sync {
/// Computes attention over the given query, keys, and values.
///
/// # Arguments
///
/// * `query` - Query vector of shape [d_model]
/// * `keys` - Slice of key vectors, each of shape [d_model]
/// * `values` - Slice of value vectors, each of shape [d_model]
///
/// # Returns
///
/// Output vector of shape [d_model]
fn compute(
&self,
query: &[f32],
keys: &[&[f32]],
values: &[&[f32]],
) -> AttentionResult<Vec<f32>>;
/// Computes attention with optional mask.
///
/// # Arguments
///
/// * `query` - Query vector of shape [d_model]
/// * `keys` - Slice of key vectors, each of shape [d_model]
/// * `values` - Slice of value vectors, each of shape [d_model]
/// * `mask` - Optional attention mask (true = attend, false = mask out)
///
/// # Returns
///
/// Output vector of shape [d_model]
fn compute_with_mask(
&self,
query: &[f32],
keys: &[&[f32]],
values: &[&[f32]],
mask: Option<&[bool]>,
) -> AttentionResult<Vec<f32>>;
/// Returns the model dimension.
fn dim(&self) -> usize;
/// Returns the number of attention heads (1 for single-head attention).
fn num_heads(&self) -> usize {
1
}
}
/// Graph attention mechanism trait.
///
/// Extends basic attention to operate over graph structures with explicit edges.
pub trait GraphAttention: Attention {
/// Computes attention using graph structure.
///
/// # Arguments
///
/// * `node_features` - Features for all nodes, shape [num_nodes, d_model]
/// * `edges` - Edge information (source, destination, optional features)
///
/// # Returns
///
/// Updated node features of shape [num_nodes, d_model]
fn compute_with_edges(
&self,
node_features: &[Vec<f32>],
edges: &[EdgeInfo],
) -> AttentionResult<Vec<Vec<f32>>>;
/// Computes attention weights for edges.
///
/// # Arguments
///
/// * `src_feature` - Source node feature
/// * `dst_feature` - Destination node feature
/// * `edge_feature` - Optional edge feature
///
/// # Returns
///
/// Attention weight for this edge
fn compute_edge_attention(
&self,
src_feature: &[f32],
dst_feature: &[f32],
edge_feature: Option<&[f32]>,
) -> AttentionResult<f32>;
}
/// Geometric attention mechanism trait.
///
/// Implements attention in hyperbolic or other geometric spaces with curvature.
pub trait GeometricAttention: Attention {
/// Computes attention in geometric space with specified curvature.
///
/// # Arguments
///
/// * `query` - Query vector in geometric space
/// * `keys` - Key vectors in geometric space
/// * `values` - Value vectors
/// * `curvature` - Curvature parameter (negative for hyperbolic space)
///
/// # Returns
///
/// Output vector in geometric space
fn compute_geometric(
&self,
query: &[f32],
keys: &[&[f32]],
values: &[&[f32]],
curvature: f32,
) -> AttentionResult<Vec<f32>>;
/// Projects vector to geometric space.
fn project_to_geometric(&self, vector: &[f32], curvature: f32) -> AttentionResult<Vec<f32>>;
/// Projects vector back from geometric space.
fn project_from_geometric(&self, vector: &[f32], curvature: f32) -> AttentionResult<Vec<f32>>;
}
/// Sparse attention mechanism trait.
///
/// Implements efficient attention over sparse patterns.
pub trait SparseAttention: Attention {
/// Computes sparse attention using the provided mask.
///
/// # Arguments
///
/// * `query` - Query vector
/// * `keys` - Key vectors
/// * `values` - Value vectors
/// * `mask` - Sparse mask defining attention pattern
///
/// # Returns
///
/// Output vector
fn compute_sparse(
&self,
query: &[f32],
keys: &[&[f32]],
values: &[&[f32]],
mask: &SparseMask,
) -> AttentionResult<Vec<f32>>;
/// Generates a sparse mask for the given sequence length.
///
/// # Arguments
///
/// * `seq_len` - Sequence length
///
/// # Returns
///
/// Sparse mask for attention computation
fn generate_mask(&self, seq_len: usize) -> AttentionResult<SparseMask>;
}
/// Gradient information for backward pass.
#[derive(Clone, Debug)]
pub struct Gradients {
/// Gradient w.r.t. query
pub query_grad: Vec<f32>,
/// Gradient w.r.t. keys
pub keys_grad: Vec<Vec<f32>>,
/// Gradient w.r.t. values
pub values_grad: Vec<Vec<f32>>,
/// Gradient w.r.t. attention weights (for analysis)
pub attention_weights_grad: Option<Vec<f32>>,
}
/// Trainable attention mechanism with backward pass support.
pub trait TrainableAttention: Attention {
/// Forward pass with gradient tracking.
///
/// # Arguments
///
/// * `query` - Query vector
/// * `keys` - Key vectors
/// * `values` - Value vectors
///
/// # Returns
///
/// Tuple of (output, attention_weights) for gradient computation
fn forward(
&self,
query: &[f32],
keys: &[&[f32]],
values: &[&[f32]],
) -> AttentionResult<(Vec<f32>, Vec<f32>)>;
/// Backward pass for gradient computation.
///
/// # Arguments
///
/// * `grad_output` - Gradient from downstream layers
/// * `query` - Query from forward pass
/// * `keys` - Keys from forward pass
/// * `values` - Values from forward pass
/// * `attention_weights` - Attention weights from forward pass
///
/// # Returns
///
/// Gradients w.r.t. inputs
fn backward(
&self,
grad_output: &[f32],
query: &[f32],
keys: &[&[f32]],
values: &[&[f32]],
attention_weights: &[f32],
) -> AttentionResult<Gradients>;
/// Updates parameters using computed gradients.
///
/// # Arguments
///
/// * `gradients` - Computed gradients
/// * `learning_rate` - Learning rate for update
fn update_parameters(
&mut self,
gradients: &Gradients,
learning_rate: f32,
) -> AttentionResult<()>;
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn test_sparse_mask_creation() {
let mask = SparseMask {
rows: vec![0, 1, 2],
cols: vec![0, 1, 2],
values: None,
};
assert_eq!(mask.rows.len(), 3);
assert_eq!(mask.cols.len(), 3);
assert!(mask.values.is_none());
}
#[test]
fn test_edge_info_creation() {
let edge = EdgeInfo {
src: 0,
dst: 1,
features: Some(vec![0.5, 0.3]),
};
assert_eq!(edge.src, 0);
assert_eq!(edge.dst, 1);
assert_eq!(edge.features.as_ref().unwrap().len(), 2);
}
#[test]
fn test_gradients_creation() {
let grads = Gradients {
query_grad: vec![0.1, 0.2],
keys_grad: vec![vec![0.3, 0.4]],
values_grad: vec![vec![0.5, 0.6]],
attention_weights_grad: None,
};
assert_eq!(grads.query_grad.len(), 2);
assert_eq!(grads.keys_grad.len(), 1);
assert!(grads.attention_weights_grad.is_none());
}
}

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//! Cached Projections for Fast OT
//!
//! Pre-compute and cache random projections per window to avoid
//! redundant computation across queries.
use rand::prelude::*;
use rand::rngs::StdRng;
/// Cache for random projection directions
#[derive(Debug, Clone)]
pub struct ProjectionCache {
/// Random unit directions [P × dim]
pub directions: Vec<Vec<f32>>,
/// Number of projections
pub num_projections: usize,
/// Dimension
pub dim: usize,
}
impl ProjectionCache {
/// Create new projection cache with P random directions
pub fn new(dim: usize, num_projections: usize, seed: u64) -> Self {
let mut rng = StdRng::seed_from_u64(seed);
let directions: Vec<Vec<f32>> = (0..num_projections)
.map(|_| {
let mut dir: Vec<f32> = (0..dim)
.map(|_| rng.sample::<f32, _>(rand::distributions::Standard) * 2.0 - 1.0)
.collect();
// Normalize to unit vector
let norm: f32 = dir.iter().map(|x| x * x).sum::<f32>().sqrt();
if norm > 1e-8 {
for x in &mut dir {
*x /= norm;
}
}
dir
})
.collect();
Self {
directions,
num_projections,
dim,
}
}
/// Project a single vector onto all directions
/// Returns [P] projected values
#[inline]
pub fn project(&self, vector: &[f32]) -> Vec<f32> {
self.directions
.iter()
.map(|dir| Self::dot_product_simd(vector, dir))
.collect()
}
/// Project a single vector into pre-allocated buffer
#[inline]
pub fn project_into(&self, vector: &[f32], out: &mut [f32]) {
for (i, dir) in self.directions.iter().enumerate() {
out[i] = Self::dot_product_simd(vector, dir);
}
}
/// SIMD-friendly 4-way unrolled dot product
#[inline(always)]
fn dot_product_simd(a: &[f32], b: &[f32]) -> f32 {
let len = a.len();
let chunks = len / 4;
let remainder = len % 4;
let mut sum0 = 0.0f32;
let mut sum1 = 0.0f32;
let mut sum2 = 0.0f32;
let mut sum3 = 0.0f32;
for i in 0..chunks {
let base = i * 4;
sum0 += a[base] * b[base];
sum1 += a[base + 1] * b[base + 1];
sum2 += a[base + 2] * b[base + 2];
sum3 += a[base + 3] * b[base + 3];
}
let base = chunks * 4;
for i in 0..remainder {
sum0 += a[base + i] * b[base + i];
}
sum0 + sum1 + sum2 + sum3
}
}
/// Per-window cache containing sorted projections
#[derive(Debug, Clone)]
pub struct WindowCache {
/// Projected keys [num_keys × P]
pub key_projections: Vec<Vec<f32>>,
/// Sorted indices per projection [P × num_keys]
pub sorted_indices: Vec<Vec<usize>>,
/// Sorted values per projection [P × num_keys]
pub sorted_values: Vec<Vec<f32>>,
/// Histogram bins per projection [P × num_bins]
pub histograms: Option<Vec<Vec<f32>>>,
/// CDF per projection [P × num_bins]
pub cdfs: Option<Vec<Vec<f32>>>,
/// Number of keys in window
pub num_keys: usize,
}
impl WindowCache {
/// Build cache from keys using projection cache
pub fn build(keys: &[&[f32]], proj_cache: &ProjectionCache) -> Self {
let num_keys = keys.len();
let num_proj = proj_cache.num_projections;
// Project all keys
let key_projections: Vec<Vec<f32>> = keys.iter().map(|k| proj_cache.project(k)).collect();
// Sort indices and values for each projection
let mut sorted_indices = vec![Vec::with_capacity(num_keys); num_proj];
let mut sorted_values = vec![Vec::with_capacity(num_keys); num_proj];
for p in 0..num_proj {
let mut indexed: Vec<(usize, f32)> = key_projections
.iter()
.enumerate()
.map(|(i, projs)| (i, projs[p]))
.collect();
indexed.sort_unstable_by(|a, b| {
a.1.partial_cmp(&b.1).unwrap_or(std::cmp::Ordering::Equal)
});
sorted_indices[p] = indexed.iter().map(|(i, _)| *i).collect();
sorted_values[p] = indexed.iter().map(|(_, v)| *v).collect();
}
Self {
key_projections,
sorted_indices,
sorted_values,
histograms: None,
cdfs: None,
num_keys,
}
}
/// Build histograms for ultra-fast CDF comparison
pub fn build_histograms(&mut self, num_bins: usize) {
let num_proj = self.sorted_values.len();
let mut histograms = vec![vec![0.0f32; num_bins]; num_proj];
let mut cdfs = vec![vec![0.0f32; num_bins]; num_proj];
for p in 0..num_proj {
let vals = &self.sorted_values[p];
if vals.is_empty() {
continue;
}
let min_val = vals[0];
let max_val = vals[vals.len() - 1];
let range = (max_val - min_val).max(1e-8);
// Build histogram
for &v in vals {
let bin = ((v - min_val) / range * (num_bins - 1) as f32)
.clamp(0.0, (num_bins - 1) as f32) as usize;
histograms[p][bin] += 1.0 / self.num_keys as f32;
}
// Build CDF
let mut cumsum = 0.0f32;
for bin in 0..num_bins {
cumsum += histograms[p][bin];
cdfs[p][bin] = cumsum;
}
}
self.histograms = Some(histograms);
self.cdfs = Some(cdfs);
}
/// Get sorted values for a projection
#[inline]
pub fn get_sorted(&self, projection_idx: usize) -> &[f32] {
&self.sorted_values[projection_idx]
}
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn test_projection_cache() {
let cache = ProjectionCache::new(64, 8, 42);
assert_eq!(cache.num_projections, 8);
assert_eq!(cache.dim, 64);
// Check directions are unit vectors
for dir in &cache.directions {
let norm: f32 = dir.iter().map(|x| x * x).sum::<f32>().sqrt();
assert!((norm - 1.0).abs() < 1e-5);
}
}
#[test]
fn test_window_cache() {
let proj_cache = ProjectionCache::new(32, 4, 42);
let keys: Vec<Vec<f32>> = (0..10).map(|i| vec![i as f32 * 0.1; 32]).collect();
let keys_refs: Vec<&[f32]> = keys.iter().map(|k| k.as_slice()).collect();
let window_cache = WindowCache::build(&keys_refs, &proj_cache);
assert_eq!(window_cache.num_keys, 10);
assert_eq!(window_cache.sorted_indices.len(), 4);
}
#[test]
fn test_histograms() {
let proj_cache = ProjectionCache::new(16, 2, 42);
let keys: Vec<Vec<f32>> = (0..20).map(|i| vec![i as f32 * 0.05; 16]).collect();
let keys_refs: Vec<&[f32]> = keys.iter().map(|k| k.as_slice()).collect();
let mut window_cache = WindowCache::build(&keys_refs, &proj_cache);
window_cache.build_histograms(10);
assert!(window_cache.cdfs.is_some());
// CDF should end at 1.0
let cdfs = window_cache.cdfs.as_ref().unwrap();
for cdf in cdfs {
assert!((cdf[cdf.len() - 1] - 1.0).abs() < 1e-5);
}
}
}

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//! Centroid-Based Optimal Transport Attention
//!
//! Clusters keys into M centroids and computes OT between query and centroids.
//! Much faster than full pairwise OT.
//!
//! ## Algorithm
//!
//! 1. Cluster keys into M centroids using k-means
//! 2. Store centroid vectors and weights (fraction of keys in each cluster)
//! 3. For each query, compute transport to centroid distribution
//! 4. Convert transport cost to attention logits
use crate::error::{AttentionError, AttentionResult};
use crate::traits::Attention;
use serde::{Deserialize, Serialize};
/// Configuration for Centroid OT Attention
#[derive(Debug, Clone, Serialize, Deserialize)]
pub struct CentroidOTConfig {
/// Model dimension
pub dim: usize,
/// Number of centroids (16-32 typical)
pub num_centroids: usize,
/// Number of k-means iterations
pub kmeans_iterations: usize,
/// Temperature for softmax
pub temperature: f32,
/// Regularization for Sinkhorn (0.1 typical)
pub sinkhorn_reg: f32,
/// Max Sinkhorn iterations
pub sinkhorn_iterations: usize,
/// Random seed
pub seed: u64,
}
impl Default for CentroidOTConfig {
fn default() -> Self {
Self {
dim: 512,
num_centroids: 16,
kmeans_iterations: 10,
temperature: 1.0,
sinkhorn_reg: 0.1,
sinkhorn_iterations: 20,
seed: 42,
}
}
}
/// Cached centroid information for a window
#[derive(Debug, Clone)]
pub struct CentroidCache {
/// Centroid vectors [M × dim]
pub centroids: Vec<Vec<f32>>,
/// Weights for each centroid (sum to 1)
pub weights: Vec<f32>,
/// Assignment of each key to centroid
pub assignments: Vec<usize>,
/// Number of keys
pub num_keys: usize,
}
impl CentroidCache {
/// Build centroid cache using k-means
pub fn build(keys: &[&[f32]], num_centroids: usize, iterations: usize, seed: u64) -> Self {
let num_keys = keys.len();
let m = num_centroids.min(num_keys);
if num_keys == 0 || keys[0].is_empty() {
return Self {
centroids: vec![],
weights: vec![],
assignments: vec![],
num_keys: 0,
};
}
let dim = keys[0].len();
// Initialize centroids with random keys
use rand::prelude::*;
let mut rng = rand::rngs::StdRng::seed_from_u64(seed);
let mut indices: Vec<usize> = (0..num_keys).collect();
indices.shuffle(&mut rng);
let mut centroids: Vec<Vec<f32>> =
indices.iter().take(m).map(|&i| keys[i].to_vec()).collect();
let mut assignments = vec![0usize; num_keys];
// K-means iterations
for _ in 0..iterations {
// Assign each key to nearest centroid
for (key_idx, key) in keys.iter().enumerate() {
let mut min_dist = f32::MAX;
let mut best_centroid = 0;
for (c_idx, centroid) in centroids.iter().enumerate() {
let dist = Self::squared_distance(key, centroid);
if dist < min_dist {
min_dist = dist;
best_centroid = c_idx;
}
}
assignments[key_idx] = best_centroid;
}
// Update centroids
let mut new_centroids = vec![vec![0.0f32; dim]; m];
let mut counts = vec![0usize; m];
for (key_idx, &assignment) in assignments.iter().enumerate() {
counts[assignment] += 1;
for (d, &v) in keys[key_idx].iter().enumerate() {
new_centroids[assignment][d] += v;
}
}
for c_idx in 0..m {
if counts[c_idx] > 0 {
for d in 0..dim {
new_centroids[c_idx][d] /= counts[c_idx] as f32;
}
centroids[c_idx] = new_centroids[c_idx].clone();
}
}
}
// Compute weights
let mut counts = vec![0usize; m];
for &a in &assignments {
counts[a] += 1;
}
let weights: Vec<f32> = counts.iter().map(|&c| c as f32 / num_keys as f32).collect();
Self {
centroids,
weights,
assignments,
num_keys,
}
}
/// Squared Euclidean distance (SIMD-friendly)
#[inline]
fn squared_distance(a: &[f32], b: &[f32]) -> f32 {
let len = a.len();
let chunks = len / 4;
let remainder = len % 4;
let mut sum0 = 0.0f32;
let mut sum1 = 0.0f32;
let mut sum2 = 0.0f32;
let mut sum3 = 0.0f32;
for i in 0..chunks {
let base = i * 4;
let d0 = a[base] - b[base];
let d1 = a[base + 1] - b[base + 1];
let d2 = a[base + 2] - b[base + 2];
let d3 = a[base + 3] - b[base + 3];
sum0 += d0 * d0;
sum1 += d1 * d1;
sum2 += d2 * d2;
sum3 += d3 * d3;
}
let base = chunks * 4;
for i in 0..remainder {
let d = a[base + i] - b[base + i];
sum0 += d * d;
}
sum0 + sum1 + sum2 + sum3
}
}
/// Centroid-based OT Attention
///
/// Computes attention by finding optimal transport between query and
/// centroid distribution, then distributing attention to original keys.
#[derive(Debug, Clone)]
pub struct CentroidOTAttention {
config: CentroidOTConfig,
}
impl CentroidOTAttention {
/// Create new Centroid OT attention
pub fn new(config: CentroidOTConfig) -> Self {
Self { config }
}
/// Create with dimension only
pub fn with_dim(dim: usize) -> Self {
Self::new(CentroidOTConfig {
dim,
..Default::default()
})
}
/// Build centroid cache for a window
pub fn build_cache(&self, keys: &[&[f32]]) -> CentroidCache {
CentroidCache::build(
keys,
self.config.num_centroids,
self.config.kmeans_iterations,
self.config.seed,
)
}
/// Compute attention using cached centroids
pub fn compute_with_cache(
&self,
query: &[f32],
cache: &CentroidCache,
values: &[&[f32]],
) -> AttentionResult<Vec<f32>> {
if cache.centroids.is_empty() {
return Err(AttentionError::InvalidConfig("Empty cache".into()));
}
// Compute distances from query to each centroid
let centroid_distances: Vec<f32> = cache
.centroids
.iter()
.map(|c| CentroidCache::squared_distance(query, c).sqrt())
.collect();
// Convert to centroid attention weights
let centroid_logits: Vec<f32> = centroid_distances
.iter()
.map(|d| -d / self.config.temperature)
.collect();
let centroid_weights = Self::stable_softmax(&centroid_logits);
// Distribute centroid weights to original keys
let mut key_weights = vec![0.0f32; cache.num_keys];
for (key_idx, &assignment) in cache.assignments.iter().enumerate() {
// Key weight = centroid weight / number of keys in cluster
let cluster_size = cache
.assignments
.iter()
.filter(|&&a| a == assignment)
.count();
if cluster_size > 0 {
key_weights[key_idx] = centroid_weights[assignment] / cluster_size as f32;
}
}
// Weighted sum of values
self.weighted_sum(&key_weights, values)
}
/// Fast Sinkhorn transport (simplified for point-to-distribution)
#[allow(dead_code)]
fn sinkhorn_distance(&self, query: &[f32], cache: &CentroidCache) -> f32 {
let m = cache.centroids.len();
if m == 0 {
return 0.0;
}
// Cost matrix: 1 × M (query to each centroid)
let costs: Vec<f32> = cache
.centroids
.iter()
.map(|c| CentroidCache::squared_distance(query, c))
.collect();
// Source is delta at query (weight 1)
// Target is centroid distribution (cache.weights)
// Log-domain Sinkhorn
let reg = self.config.sinkhorn_reg;
let log_k: Vec<f32> = costs.iter().map(|c| -c / reg).collect();
let mut log_v = vec![0.0f32; m];
let log_b: Vec<f32> = cache.weights.iter().map(|w| w.ln().max(-20.0)).collect();
for _ in 0..self.config.sinkhorn_iterations {
// Update log_v
let log_sum: f32 = log_k
.iter()
.zip(log_v.iter())
.map(|(&lk, &lv)| lk + lv)
.fold(f32::NEG_INFINITY, |max, x| if x > max { x } else { max });
let exp_sum: f32 = log_k
.iter()
.zip(log_v.iter())
.map(|(&lk, &lv)| (lk + lv - log_sum).exp())
.sum();
let log_u = -log_sum - exp_sum.ln();
// Update log_v
for j in 0..m {
log_v[j] = log_b[j] - (log_u + log_k[j]);
}
}
// Compute transport cost
let mut total_cost = 0.0f32;
for j in 0..m {
let gamma = (log_v[j] + log_k[j]).exp();
total_cost += gamma * costs[j];
}
total_cost
}
/// Stable softmax
fn stable_softmax(logits: &[f32]) -> Vec<f32> {
if logits.is_empty() {
return vec![];
}
let max_logit = logits.iter().cloned().fold(f32::NEG_INFINITY, f32::max);
let exp_logits: Vec<f32> = logits.iter().map(|&l| (l - max_logit).exp()).collect();
let sum: f32 = exp_logits.iter().sum();
exp_logits.iter().map(|&e| e / sum).collect()
}
/// Weighted sum of values
fn weighted_sum(&self, weights: &[f32], values: &[&[f32]]) -> AttentionResult<Vec<f32>> {
if weights.is_empty() || values.is_empty() {
return Err(AttentionError::InvalidConfig("Empty inputs".into()));
}
let dim = values[0].len();
let mut output = vec![0.0f32; dim];
for (weight, value) in weights.iter().zip(values.iter()) {
for (o, &v) in output.iter_mut().zip(value.iter()) {
*o += weight * v;
}
}
Ok(output)
}
}
impl Attention for CentroidOTAttention {
fn compute(
&self,
query: &[f32],
keys: &[&[f32]],
values: &[&[f32]],
) -> AttentionResult<Vec<f32>> {
let cache = self.build_cache(keys);
self.compute_with_cache(query, &cache, values)
}
fn compute_with_mask(
&self,
query: &[f32],
keys: &[&[f32]],
values: &[&[f32]],
mask: Option<&[bool]>,
) -> AttentionResult<Vec<f32>> {
if let Some(m) = mask {
let filtered: Vec<(&[f32], &[f32])> = keys
.iter()
.zip(values.iter())
.enumerate()
.filter(|(i, _)| m.get(*i).copied().unwrap_or(true))
.map(|(_, (k, v))| (*k, *v))
.collect();
let filtered_keys: Vec<&[f32]> = filtered.iter().map(|(k, _)| *k).collect();
let filtered_values: Vec<&[f32]> = filtered.iter().map(|(_, v)| *v).collect();
self.compute(query, &filtered_keys, &filtered_values)
} else {
self.compute(query, keys, values)
}
}
fn dim(&self) -> usize {
self.config.dim
}
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn test_centroid_cache() {
let keys: Vec<Vec<f32>> = (0..50).map(|i| vec![i as f32 * 0.1; 32]).collect();
let keys_refs: Vec<&[f32]> = keys.iter().map(|k| k.as_slice()).collect();
let cache = CentroidCache::build(&keys_refs, 8, 5, 42);
assert_eq!(cache.centroids.len(), 8);
assert_eq!(cache.weights.len(), 8);
assert_eq!(cache.assignments.len(), 50);
// Weights should sum to 1
let weight_sum: f32 = cache.weights.iter().sum();
assert!((weight_sum - 1.0).abs() < 1e-5);
}
#[test]
fn test_centroid_ot_attention() {
let attention = CentroidOTAttention::with_dim(32);
let query = vec![0.5f32; 32];
let keys: Vec<Vec<f32>> = (0..30).map(|i| vec![i as f32 * 0.05; 32]).collect();
let values: Vec<Vec<f32>> = (0..30).map(|i| vec![i as f32; 32]).collect();
let keys_refs: Vec<&[f32]> = keys.iter().map(|k| k.as_slice()).collect();
let values_refs: Vec<&[f32]> = values.iter().map(|v| v.as_slice()).collect();
let output = attention.compute(&query, &keys_refs, &values_refs).unwrap();
assert_eq!(output.len(), 32);
}
#[test]
fn test_cache_reuse() {
let attention = CentroidOTAttention::with_dim(64);
let keys: Vec<Vec<f32>> = (0..40).map(|i| vec![i as f32 * 0.025; 64]).collect();
let values: Vec<Vec<f32>> = (0..40).map(|i| vec![i as f32; 64]).collect();
let keys_refs: Vec<&[f32]> = keys.iter().map(|k| k.as_slice()).collect();
let values_refs: Vec<&[f32]> = values.iter().map(|v| v.as_slice()).collect();
// Build cache once
let cache = attention.build_cache(&keys_refs);
// Reuse for multiple queries
for q in 0..10 {
let query = vec![q as f32 * 0.1; 64];
let output = attention
.compute_with_cache(&query, &cache, &values_refs)
.unwrap();
assert_eq!(output.len(), 64);
}
}
}

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//! Optimal Transport Attention
//!
//! Fast attention mechanisms using Optimal Transport theory.
//!
//! ## Key Optimizations
//!
//! 1. **Sliced Wasserstein**: Random 1D projections with cached sorted orders
//! 2. **Centroid OT**: Cluster keys into M centroids, transport to prototypes only
//! 3. **Two-Stage**: Cheap prefilter + expensive OT kernel on candidates
//! 4. **Histogram CDF**: Replace sorting with binned CDFs for SIMD-friendly ops
//!
//! ## Performance Targets
//!
//! - Candidates C: 32-64
//! - Projections P: 8-16
//! - Centroids M: 16-32
mod cached_projections;
mod centroid_ot;
mod sliced_wasserstein;
pub use cached_projections::{ProjectionCache, WindowCache};
pub use centroid_ot::{CentroidCache, CentroidOTAttention, CentroidOTConfig};
pub use sliced_wasserstein::{SlicedWassersteinAttention, SlicedWassersteinConfig};
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn test_module_exists() {
// Basic module test
assert!(true);
}
}

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//! Sliced Wasserstein Attention
//!
//! Attention using Optimal Transport distances via random 1D projections.
//!
//! ## Algorithm
//!
//! 1. Pre-compute P random projections and cache sorted orders per window
//! 2. For each query:
//! a. Project query onto all P directions
//! b. Compare to cached sorted key distributions
//! c. Convert transport costs to attention logits
//!
//! ## Optimizations
//!
//! - Window-level caching of sorted projections
//! - Two-stage: dot-product prefilter + OT on candidates
//! - Histogram CDF for ultra-fast comparisons
//! - SIMD-friendly kernels throughout
use super::cached_projections::{ProjectionCache, WindowCache};
use crate::error::{AttentionError, AttentionResult};
use crate::traits::Attention;
use serde::{Deserialize, Serialize};
/// Configuration for Sliced Wasserstein Attention
#[derive(Debug, Clone, Serialize, Deserialize)]
pub struct SlicedWassersteinConfig {
/// Model dimension
pub dim: usize,
/// Number of random projections (8-16 typical)
pub num_projections: usize,
/// Number of candidates for two-stage filtering (32-64 typical)
pub num_candidates: usize,
/// Temperature for softmax
pub temperature: f32,
/// Whether to use histogram-based CDF (faster but less precise)
pub use_histograms: bool,
/// Number of histogram bins if using histograms
pub num_bins: usize,
/// Random seed for reproducibility
pub seed: u64,
/// Wasserstein power (1 or 2)
pub wasserstein_power: f32,
}
impl Default for SlicedWassersteinConfig {
fn default() -> Self {
Self {
dim: 512,
num_projections: 8,
num_candidates: 48,
temperature: 1.0,
use_histograms: false,
num_bins: 32,
seed: 42,
wasserstein_power: 2.0,
}
}
}
impl SlicedWassersteinConfig {
/// Create config with dimension
pub fn with_dim(dim: usize) -> Self {
Self {
dim,
..Default::default()
}
}
}
/// Sliced Wasserstein Attention
///
/// Uses OT distance instead of dot product for attention scoring.
/// Robust to local permutations and better for comparing distributions.
#[derive(Debug, Clone)]
pub struct SlicedWassersteinAttention {
config: SlicedWassersteinConfig,
projection_cache: ProjectionCache,
}
impl SlicedWassersteinAttention {
/// Create new Sliced Wasserstein attention
pub fn new(config: SlicedWassersteinConfig) -> Self {
let projection_cache =
ProjectionCache::new(config.dim, config.num_projections, config.seed);
Self {
config,
projection_cache,
}
}
/// Create with dimension only (uses defaults)
pub fn with_dim(dim: usize) -> Self {
Self::new(SlicedWassersteinConfig::with_dim(dim))
}
/// Build window cache for a set of keys
pub fn build_window_cache(&self, keys: &[&[f32]]) -> WindowCache {
let mut cache = WindowCache::build(keys, &self.projection_cache);
if self.config.use_histograms {
cache.build_histograms(self.config.num_bins);
}
cache
}
/// Compute attention using pre-built window cache (fast path)
pub fn compute_with_cache(
&self,
query: &[f32],
window_cache: &WindowCache,
values: &[&[f32]],
) -> AttentionResult<Vec<f32>> {
let num_keys = window_cache.num_keys;
if num_keys == 0 {
return Err(AttentionError::InvalidConfig("No keys provided".into()));
}
// Project query
let query_projections = self.projection_cache.project(query);
// Compute OT distances to all keys
let distances = self.compute_ot_distances(&query_projections, window_cache);
// Convert to attention weights (negative distance = higher attention)
let logits: Vec<f32> = distances
.iter()
.map(|d| -d / self.config.temperature)
.collect();
// Softmax
let weights = Self::stable_softmax(&logits);
// Weighted sum of values
self.weighted_sum(&weights, values)
}
/// Compute with two-stage filtering (prefilter + OT on candidates)
pub fn compute_two_stage(
&self,
query: &[f32],
keys: &[&[f32]],
values: &[&[f32]],
window_cache: &WindowCache,
) -> AttentionResult<Vec<f32>> {
let num_keys = keys.len();
if num_keys == 0 {
return Err(AttentionError::InvalidConfig("No keys provided".into()));
}
let num_candidates = self.config.num_candidates.min(num_keys);
// Stage 1: Cheap dot-product prefilter to get top-C candidates
let mut dot_scores: Vec<(usize, f32)> = keys
.iter()
.enumerate()
.map(|(i, k)| (i, Self::dot_product_simd(query, k)))
.collect();
dot_scores
.sort_unstable_by(|a, b| b.1.partial_cmp(&a.1).unwrap_or(std::cmp::Ordering::Equal));
let candidate_indices: Vec<usize> = dot_scores
.iter()
.take(num_candidates)
.map(|(i, _)| *i)
.collect();
// Stage 2: OT distance only on candidates
let query_projections = self.projection_cache.project(query);
let candidate_distances: Vec<(usize, f32)> = candidate_indices
.iter()
.map(|&idx| {
let key_projs = &window_cache.key_projections[idx];
let ot_dist = self.compute_1d_ot_distance(&query_projections, key_projs);
(idx, ot_dist)
})
.collect();
// Convert to attention weights
let logits: Vec<f32> = candidate_distances
.iter()
.map(|(_, d)| -d / self.config.temperature)
.collect();
let weights = Self::stable_softmax(&logits);
// Weighted sum using only candidate values
let candidate_values: Vec<&[f32]> = candidate_indices.iter().map(|&i| values[i]).collect();
self.weighted_sum(&weights, &candidate_values)
}
/// Compute 1D OT distances using sorted projections
fn compute_ot_distances(&self, query_projs: &[f32], cache: &WindowCache) -> Vec<f32> {
let num_keys = cache.num_keys;
let mut distances = vec![0.0f32; num_keys];
// For each key, sum OT distances across all projections
for key_idx in 0..num_keys {
let key_projs = &cache.key_projections[key_idx];
distances[key_idx] = self.compute_1d_ot_distance(query_projs, key_projs);
}
distances
}
/// Compute OT distance between two projected points
/// Simple case: |q - k|^p averaged across projections
#[inline]
fn compute_1d_ot_distance(&self, query_projs: &[f32], key_projs: &[f32]) -> f32 {
let p = self.config.wasserstein_power;
let num_proj = query_projs.len();
if (p - 2.0).abs() < 0.01 {
// W2: squared differences (SIMD-friendly)
let sum: f32 = query_projs
.iter()
.zip(key_projs.iter())
.map(|(&q, &k)| {
let d = q - k;
d * d
})
.sum();
(sum / num_proj as f32).sqrt()
} else if (p - 1.0).abs() < 0.01 {
// W1: absolute differences
let sum: f32 = query_projs
.iter()
.zip(key_projs.iter())
.map(|(&q, &k)| (q - k).abs())
.sum();
sum / num_proj as f32
} else {
// General case
let sum: f32 = query_projs
.iter()
.zip(key_projs.iter())
.map(|(&q, &k)| (q - k).abs().powf(p))
.sum();
(sum / num_proj as f32).powf(1.0 / p)
}
}
/// Compute OT distance to the window distribution using sorted values
/// This compares query to the empirical CDF of keys
#[allow(dead_code)]
fn compute_distributional_ot(&self, query_projs: &[f32], cache: &WindowCache) -> f32 {
let num_proj = query_projs.len();
let mut total_dist = 0.0f32;
for p in 0..num_proj {
let sorted = cache.get_sorted(p);
let q_val = query_projs[p];
// Find where query falls in the sorted distribution
// and compute distance to nearest quantile
let n = sorted.len() as f32;
let mut min_dist = f32::MAX;
for (i, &k_val) in sorted.iter().enumerate() {
let quantile_dist = ((i as f32 + 0.5) / n - 0.5).abs();
let value_dist = (q_val - k_val).abs();
min_dist = min_dist.min(value_dist + 0.1 * quantile_dist);
}
total_dist += min_dist;
}
total_dist / num_proj as f32
}
/// Stable softmax implementation
#[inline]
fn stable_softmax(logits: &[f32]) -> Vec<f32> {
if logits.is_empty() {
return vec![];
}
let max_logit = logits.iter().cloned().fold(f32::NEG_INFINITY, f32::max);
let exp_logits: Vec<f32> = logits.iter().map(|&l| (l - max_logit).exp()).collect();
let sum: f32 = exp_logits.iter().sum();
exp_logits.iter().map(|&e| e / sum).collect()
}
/// SIMD-friendly dot product
#[inline(always)]
fn dot_product_simd(a: &[f32], b: &[f32]) -> f32 {
let len = a.len().min(b.len());
let chunks = len / 4;
let remainder = len % 4;
let mut sum0 = 0.0f32;
let mut sum1 = 0.0f32;
let mut sum2 = 0.0f32;
let mut sum3 = 0.0f32;
for i in 0..chunks {
let base = i * 4;
sum0 += a[base] * b[base];
sum1 += a[base + 1] * b[base + 1];
sum2 += a[base + 2] * b[base + 2];
sum3 += a[base + 3] * b[base + 3];
}
let base = chunks * 4;
for i in 0..remainder {
sum0 += a[base + i] * b[base + i];
}
sum0 + sum1 + sum2 + sum3
}
/// Weighted sum of values
fn weighted_sum(&self, weights: &[f32], values: &[&[f32]]) -> AttentionResult<Vec<f32>> {
if weights.is_empty() || values.is_empty() {
return Err(AttentionError::InvalidConfig("Empty inputs".into()));
}
let dim = values[0].len();
let mut output = vec![0.0f32; dim];
for (weight, value) in weights.iter().zip(values.iter()) {
for (o, &v) in output.iter_mut().zip(value.iter()) {
*o += weight * v;
}
}
Ok(output)
}
}
impl Attention for SlicedWassersteinAttention {
fn compute(
&self,
query: &[f32],
keys: &[&[f32]],
values: &[&[f32]],
) -> AttentionResult<Vec<f32>> {
// Build cache and compute
let cache = self.build_window_cache(keys);
if self.config.num_candidates < keys.len() {
self.compute_two_stage(query, keys, values, &cache)
} else {
self.compute_with_cache(query, &cache, values)
}
}
fn compute_with_mask(
&self,
query: &[f32],
keys: &[&[f32]],
values: &[&[f32]],
mask: Option<&[bool]>,
) -> AttentionResult<Vec<f32>> {
if let Some(m) = mask {
// Filter by mask
let filtered: Vec<(usize, &[f32], &[f32])> = keys
.iter()
.zip(values.iter())
.enumerate()
.filter(|(i, _)| m.get(*i).copied().unwrap_or(true))
.map(|(i, (k, v))| (i, *k, *v))
.collect();
let filtered_keys: Vec<&[f32]> = filtered.iter().map(|(_, k, _)| *k).collect();
let filtered_values: Vec<&[f32]> = filtered.iter().map(|(_, _, v)| *v).collect();
self.compute(query, &filtered_keys, &filtered_values)
} else {
self.compute(query, keys, values)
}
}
fn dim(&self) -> usize {
self.config.dim
}
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn test_sliced_wasserstein_attention() {
let attention = SlicedWassersteinAttention::with_dim(32);
let query = vec![1.0f32; 32];
let keys: Vec<Vec<f32>> = (0..10).map(|i| vec![0.5 + i as f32 * 0.1; 32]).collect();
let values: Vec<Vec<f32>> = (0..10).map(|i| vec![i as f32; 32]).collect();
let keys_refs: Vec<&[f32]> = keys.iter().map(|k| k.as_slice()).collect();
let values_refs: Vec<&[f32]> = values.iter().map(|v| v.as_slice()).collect();
let output = attention.compute(&query, &keys_refs, &values_refs).unwrap();
assert_eq!(output.len(), 32);
}
#[test]
fn test_window_cache_reuse() {
let attention = SlicedWassersteinAttention::with_dim(64);
let keys: Vec<Vec<f32>> = (0..20).map(|i| vec![i as f32 * 0.05; 64]).collect();
let values: Vec<Vec<f32>> = (0..20).map(|i| vec![i as f32; 64]).collect();
let keys_refs: Vec<&[f32]> = keys.iter().map(|k| k.as_slice()).collect();
let values_refs: Vec<&[f32]> = values.iter().map(|v| v.as_slice()).collect();
// Build cache once
let cache = attention.build_window_cache(&keys_refs);
// Reuse for multiple queries
for _ in 0..5 {
let query = vec![0.5f32; 64];
let output = attention
.compute_with_cache(&query, &cache, &values_refs)
.unwrap();
assert_eq!(output.len(), 64);
}
}
#[test]
fn test_two_stage_filtering() {
let config = SlicedWassersteinConfig {
dim: 32,
num_candidates: 8,
..Default::default()
};
let attention = SlicedWassersteinAttention::new(config);
let query = vec![1.0f32; 32];
let keys: Vec<Vec<f32>> = (0..50).map(|i| vec![0.5 + i as f32 * 0.02; 32]).collect();
let values: Vec<Vec<f32>> = (0..50).map(|i| vec![i as f32; 32]).collect();
let keys_refs: Vec<&[f32]> = keys.iter().map(|k| k.as_slice()).collect();
let values_refs: Vec<&[f32]> = values.iter().map(|v| v.as_slice()).collect();
let output = attention.compute(&query, &keys_refs, &values_refs).unwrap();
assert_eq!(output.len(), 32);
}
}

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//! Individual Geometry Metrics
use serde::{Deserialize, Serialize};
/// Type of geometric metric
#[derive(Debug, Clone, Copy, PartialEq, Eq, Serialize, Deserialize)]
pub enum MetricType {
/// Sliced Wasserstein OT distance
OTDistance,
/// Topology coherence (k-NN based)
TopologyCoherence,
/// H0 persistence death sum
H0Persistence,
/// Information bottleneck KL
IBKL,
/// Diffusion energy
DiffusionEnergy,
/// Fisher-Rao distance
FisherRao,
/// Attention entropy
AttentionEntropy,
}
/// A metric value with metadata
#[derive(Debug, Clone, Serialize, Deserialize)]
pub struct MetricValue {
/// Metric type
pub metric_type: MetricType,
/// Raw value
pub value: f32,
/// Normalized value (0-1)
pub normalized: f32,
/// Whether this is healthy (within expected range)
pub is_healthy: bool,
/// Warning threshold
pub warning_threshold: f32,
/// Critical threshold
pub critical_threshold: f32,
}
impl MetricValue {
/// Create new metric value
pub fn new(
metric_type: MetricType,
value: f32,
min_expected: f32,
max_expected: f32,
warning_threshold: f32,
critical_threshold: f32,
) -> Self {
let range = max_expected - min_expected;
let normalized = if range > 0.0 {
((value - min_expected) / range).clamp(0.0, 1.0)
} else {
0.5
};
let is_healthy = value >= min_expected && value <= max_expected;
Self {
metric_type,
value,
normalized,
is_healthy,
warning_threshold,
critical_threshold,
}
}
/// Check if metric is in warning state
pub fn is_warning(&self) -> bool {
self.value > self.warning_threshold && self.value <= self.critical_threshold
}
/// Check if metric is in critical state
pub fn is_critical(&self) -> bool {
self.value > self.critical_threshold
}
/// Get status string
pub fn status(&self) -> &'static str {
if self.is_critical() {
"CRITICAL"
} else if self.is_warning() {
"WARNING"
} else if self.is_healthy {
"OK"
} else {
"UNKNOWN"
}
}
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn test_metric_value() {
let metric = MetricValue::new(MetricType::TopologyCoherence, 0.7, 0.0, 1.0, 0.3, 0.1);
assert_eq!(metric.metric_type, MetricType::TopologyCoherence);
assert!((metric.normalized - 0.7).abs() < 1e-5);
assert!(metric.is_healthy);
}
#[test]
fn test_warning_critical() {
let metric = MetricValue::new(
MetricType::OTDistance,
5.0, // High OT distance
0.0,
10.0,
3.0, // Warning at 3
7.0, // Critical at 7
);
assert!(metric.is_warning());
assert!(!metric.is_critical());
assert_eq!(metric.status(), "WARNING");
}
}

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//! Unified Geometry Report
//!
//! Combines all geometric metrics into a single diagnostic surface.
//!
//! ## Metrics Included
//!
//! 1. **OT Distance**: Sliced Wasserstein mean absolute distance
//! 2. **Topology Coherence**: k-NN boundary mass ratio
//! 3. **H0 Persistence**: Sum of death times (structural complexity)
//! 4. **IB KL**: Information bottleneck compression term
//! 5. **Diffusion Energy**: Smoothness on key graph
//!
//! ## Use Cases
//!
//! - Routing decisions in MoE
//! - Gating signals for attention modes
//! - Monitoring attention health
//! - Debugging attention patterns
mod metrics;
mod report;
pub use metrics::{MetricType, MetricValue};
pub use report::{AttentionRecommendation, GeometryReport, ReportBuilder, ReportConfig};
#[cfg(test)]
mod tests {
#[test]
fn test_module_exists() {
assert!(true);
}
}

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//! Unified Geometry Report Builder
use super::metrics::{MetricType, MetricValue};
use crate::info_bottleneck::KLDivergence;
use crate::pde_attention::GraphLaplacian;
use crate::topology::WindowCoherence;
use serde::{Deserialize, Serialize};
/// Report configuration
#[derive(Debug, Clone, Serialize, Deserialize)]
pub struct ReportConfig {
/// Number of OT projections
pub ot_projections: usize,
/// k for k-NN coherence
pub knn_k: usize,
/// Sigma for diffusion
pub diffusion_sigma: f32,
/// Whether to compute H0 persistence (expensive)
pub compute_persistence: bool,
/// Random seed
pub seed: u64,
}
impl Default for ReportConfig {
fn default() -> Self {
Self {
ot_projections: 8,
knn_k: 8,
diffusion_sigma: 1.0,
compute_persistence: false,
seed: 42,
}
}
}
/// Unified geometry report
#[derive(Debug, Clone, Serialize, Deserialize)]
pub struct GeometryReport {
/// OT sliced Wasserstein mean distance
pub ot_mean_distance: f32,
/// Topology coherence score
pub topology_coherence: f32,
/// H0 persistence death sum (if computed)
pub h0_death_sum: Option<f32>,
/// Information bottleneck KL
pub ib_kl: f32,
/// Diffusion energy
pub diffusion_energy: f32,
/// Attention entropy
pub attention_entropy: f32,
/// All metrics with thresholds
pub metrics: Vec<MetricValue>,
/// Overall health score (0-1)
pub health_score: f32,
/// Recommended action
pub recommendation: AttentionRecommendation,
}
/// Recommended action based on report
#[derive(Debug, Clone, Copy, PartialEq, Eq, Serialize, Deserialize)]
pub enum AttentionRecommendation {
/// Full attention, normal operation
Stable,
/// Reduce attention width
Cautious,
/// Retrieval only, no updates
Freeze,
/// Increase temperature
IncreaseTemperature,
/// Decrease temperature
DecreaseTemperature,
/// Add regularization
AddRegularization,
}
/// Report builder
pub struct ReportBuilder {
config: ReportConfig,
}
impl ReportBuilder {
/// Create new report builder
pub fn new(config: ReportConfig) -> Self {
Self { config }
}
/// Build report from query and keys
pub fn build(
&self,
query: &[f32],
keys: &[&[f32]],
attention_weights: Option<&[f32]>,
ib_mean: Option<&[f32]>,
ib_log_var: Option<&[f32]>,
) -> GeometryReport {
let n = keys.len();
if n == 0 {
return GeometryReport::empty();
}
let _dim = keys[0].len();
// 1. OT distance (simplified sliced Wasserstein)
let ot_mean = self.compute_ot_distance(query, keys);
// 2. Topology coherence
let coherence = self.compute_coherence(keys);
// 3. H0 persistence (optional)
let h0_sum = if self.config.compute_persistence {
Some(self.compute_h0_persistence(keys))
} else {
None
};
// 4. IB KL
let ib_kl = match (ib_mean, ib_log_var) {
(Some(m), Some(v)) => KLDivergence::gaussian_to_unit_arrays(m, v),
_ => 0.0,
};
// 5. Diffusion energy
let diffusion_energy = self.compute_diffusion_energy(query, keys);
// 6. Attention entropy
let entropy = match attention_weights {
Some(w) => self.compute_entropy(w),
None => (n as f32).ln(), // Max entropy
};
// Build metrics
let mut metrics = vec![
MetricValue::new(MetricType::OTDistance, ot_mean, 0.0, 10.0, 5.0, 8.0),
MetricValue::new(MetricType::TopologyCoherence, coherence, 0.0, 1.0, 0.3, 0.1),
MetricValue::new(MetricType::IBKL, ib_kl, 0.0, 100.0, 50.0, 80.0),
MetricValue::new(
MetricType::DiffusionEnergy,
diffusion_energy,
0.0,
100.0,
50.0,
80.0,
),
MetricValue::new(
MetricType::AttentionEntropy,
entropy,
0.0,
(n as f32).ln().max(1.0),
0.5,
0.2,
),
];
if let Some(h0) = h0_sum {
metrics.push(MetricValue::new(
MetricType::H0Persistence,
h0,
0.0,
100.0,
50.0,
80.0,
));
}
// Compute health score
let health_score = self.compute_health_score(&metrics);
// Determine recommendation
let recommendation = self.determine_recommendation(&metrics, coherence, entropy, n);
GeometryReport {
ot_mean_distance: ot_mean,
topology_coherence: coherence,
h0_death_sum: h0_sum,
ib_kl,
diffusion_energy,
attention_entropy: entropy,
metrics,
health_score,
recommendation,
}
}
/// Simplified sliced Wasserstein distance
fn compute_ot_distance(&self, query: &[f32], keys: &[&[f32]]) -> f32 {
let dim = query.len();
let n = keys.len();
if n == 0 {
return 0.0;
}
// Generate random projections
let mut rng_state = self.config.seed;
let projections: Vec<Vec<f32>> = (0..self.config.ot_projections)
.map(|_| self.random_unit_vector(dim, &mut rng_state))
.collect();
// Project query
let q_projs: Vec<f32> = projections.iter().map(|p| Self::dot(query, p)).collect();
// Mean absolute distance over keys
let mut total = 0.0f32;
for key in keys {
let mut dist = 0.0f32;
for (i, proj) in projections.iter().enumerate() {
let k_proj = Self::dot(key, proj);
dist += (q_projs[i] - k_proj).abs();
}
total += dist / self.config.ot_projections as f32;
}
total / n as f32
}
/// Compute coherence using WindowCoherence
fn compute_coherence(&self, keys: &[&[f32]]) -> f32 {
use crate::topology::CoherenceMetric;
let coherence = WindowCoherence::compute(
keys,
self.config.knn_k,
&[
CoherenceMetric::BoundaryMass,
CoherenceMetric::SimilarityVariance,
],
);
coherence.score
}
/// Compute H0 persistence (expensive)
fn compute_h0_persistence(&self, keys: &[&[f32]]) -> f32 {
let n = keys.len();
if n <= 1 {
return 0.0;
}
// Build distance matrix
let mut edges: Vec<(f32, usize, usize)> = Vec::new();
for i in 0..n {
for j in (i + 1)..n {
let dist = Self::l2_distance(keys[i], keys[j]);
edges.push((dist, i, j));
}
}
edges.sort_by(|a, b| a.0.partial_cmp(&b.0).unwrap_or(std::cmp::Ordering::Equal));
// Union-Find for Kruskal's algorithm
let mut parent: Vec<usize> = (0..n).collect();
let mut rank = vec![0u8; n];
let mut deaths = Vec::new();
fn find(parent: &mut [usize], x: usize) -> usize {
if parent[x] != x {
parent[x] = find(parent, parent[x]);
}
parent[x]
}
fn union(parent: &mut [usize], rank: &mut [u8], a: usize, b: usize) -> bool {
let mut ra = find(parent, a);
let mut rb = find(parent, b);
if ra == rb {
return false;
}
if rank[ra] < rank[rb] {
std::mem::swap(&mut ra, &mut rb);
}
parent[rb] = ra;
if rank[ra] == rank[rb] {
rank[ra] += 1;
}
true
}
for (w, i, j) in edges {
if union(&mut parent, &mut rank, i, j) {
deaths.push(w);
if deaths.len() == n - 1 {
break;
}
}
}
// Remove last (infinite lifetime component)
if !deaths.is_empty() {
deaths.pop();
}
deaths.iter().sum()
}
/// Compute diffusion energy
fn compute_diffusion_energy(&self, query: &[f32], keys: &[&[f32]]) -> f32 {
use crate::pde_attention::LaplacianType;
let n = keys.len();
if n == 0 {
return 0.0;
}
// Initial logits
let x: Vec<f32> = keys.iter().map(|k| Self::dot(query, k)).collect();
// Build Laplacian
let lap = GraphLaplacian::from_keys(
keys,
self.config.diffusion_sigma,
LaplacianType::Unnormalized,
);
// Energy = x^T L x
let lx = lap.apply(&x);
Self::dot(&x, &lx)
}
/// Compute entropy
fn compute_entropy(&self, weights: &[f32]) -> f32 {
let eps = 1e-10;
let mut entropy = 0.0f32;
for &w in weights {
if w > eps {
entropy -= w * w.ln();
}
}
entropy.max(0.0)
}
/// Compute overall health score
fn compute_health_score(&self, metrics: &[MetricValue]) -> f32 {
if metrics.is_empty() {
return 1.0;
}
let healthy_count = metrics.iter().filter(|m| m.is_healthy).count();
healthy_count as f32 / metrics.len() as f32
}
/// Determine recommendation
fn determine_recommendation(
&self,
metrics: &[MetricValue],
coherence: f32,
entropy: f32,
n: usize,
) -> AttentionRecommendation {
let max_entropy = (n as f32).ln().max(1.0);
let entropy_ratio = entropy / max_entropy;
// Check for critical conditions
let has_critical = metrics.iter().any(|m| m.is_critical());
if has_critical {
return AttentionRecommendation::Freeze;
}
// Low coherence = cautious mode
if coherence < 0.3 {
return AttentionRecommendation::Cautious;
}
// Very low entropy = temperature too low
if entropy_ratio < 0.2 {
return AttentionRecommendation::IncreaseTemperature;
}
// Very high entropy = temperature too high
if entropy_ratio > 0.9 {
return AttentionRecommendation::DecreaseTemperature;
}
// Check for warnings
let has_warning = metrics.iter().any(|m| m.is_warning());
if has_warning {
return AttentionRecommendation::AddRegularization;
}
AttentionRecommendation::Stable
}
/// Generate random unit vector
fn random_unit_vector(&self, dim: usize, state: &mut u64) -> Vec<f32> {
let mut v = vec![0.0f32; dim];
for i in 0..dim {
// XorShift
*state ^= *state << 13;
*state ^= *state >> 7;
*state ^= *state << 17;
let u = (*state & 0x00FF_FFFF) as f32 / 16_777_216.0;
v[i] = u * 2.0 - 1.0;
}
let norm: f32 = v.iter().map(|x| x * x).sum::<f32>().sqrt();
if norm > 0.0 {
for x in v.iter_mut() {
*x /= norm;
}
}
v
}
/// Dot product
#[inline]
fn dot(a: &[f32], b: &[f32]) -> f32 {
a.iter().zip(b.iter()).map(|(&ai, &bi)| ai * bi).sum()
}
/// L2 distance
#[inline]
fn l2_distance(a: &[f32], b: &[f32]) -> f32 {
a.iter()
.zip(b.iter())
.map(|(&ai, &bi)| (ai - bi) * (ai - bi))
.sum::<f32>()
.sqrt()
}
}
impl GeometryReport {
/// Create empty report
pub fn empty() -> Self {
Self {
ot_mean_distance: 0.0,
topology_coherence: 1.0,
h0_death_sum: None,
ib_kl: 0.0,
diffusion_energy: 0.0,
attention_entropy: 0.0,
metrics: vec![],
health_score: 1.0,
recommendation: AttentionRecommendation::Stable,
}
}
/// Check if attention is healthy
pub fn is_healthy(&self) -> bool {
self.health_score > 0.7
}
/// Get all warning metrics
pub fn warnings(&self) -> Vec<&MetricValue> {
self.metrics.iter().filter(|m| m.is_warning()).collect()
}
/// Get all critical metrics
pub fn criticals(&self) -> Vec<&MetricValue> {
self.metrics.iter().filter(|m| m.is_critical()).collect()
}
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn test_report_builder() {
let builder = ReportBuilder::new(ReportConfig::default());
let query = vec![1.0f32; 16];
let keys: Vec<Vec<f32>> = (0..10).map(|i| vec![i as f32 * 0.1; 16]).collect();
let keys_refs: Vec<&[f32]> = keys.iter().map(|k| k.as_slice()).collect();
let report = builder.build(&query, &keys_refs, None, None, None);
assert!(report.topology_coherence >= 0.0);
assert!(report.topology_coherence <= 1.0);
assert!(report.health_score >= 0.0);
assert!(report.health_score <= 1.0);
}
#[test]
fn test_empty_report() {
let report = GeometryReport::empty();
assert!(report.is_healthy());
assert_eq!(report.recommendation, AttentionRecommendation::Stable);
}
#[test]
fn test_with_attention_weights() {
let builder = ReportBuilder::new(ReportConfig::default());
let query = vec![1.0f32; 8];
let keys: Vec<Vec<f32>> = vec![vec![1.0; 8], vec![0.9; 8], vec![0.1; 8]];
let keys_refs: Vec<&[f32]> = keys.iter().map(|k| k.as_slice()).collect();
let weights = vec![0.6, 0.3, 0.1];
let report = builder.build(&query, &keys_refs, Some(&weights), None, None);
assert!(report.attention_entropy > 0.0);
}
}

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@@ -0,0 +1,384 @@
//! Utility functions for attention mechanisms.
//!
//! This module provides common utilities like softmax, masking, and
//! numerical stability helpers used across attention implementations.
use crate::error::{AttentionError, AttentionResult};
/// Stable softmax that returns Vec<f32> directly (no Result)
/// Used by sparse, moe, and graph modules
#[inline]
pub fn stable_softmax(values: &[f32]) -> Vec<f32> {
if values.is_empty() {
return vec![];
}
// Find maximum for numerical stability
let max_val = values
.iter()
.copied()
.filter(|x| x.is_finite())
.fold(f32::NEG_INFINITY, f32::max);
if !max_val.is_finite() {
// All values are -inf or invalid, return uniform
let n = values.len();
return vec![1.0 / n as f32; n];
}
// Compute exp(x - max) and sum
let mut exp_values: Vec<f32> = values
.iter()
.map(|&x| {
if x.is_finite() {
(x - max_val).exp()
} else {
0.0
}
})
.collect();
let sum: f32 = exp_values.iter().sum();
if sum <= 1e-10 || !sum.is_finite() {
// Fallback to uniform
let n = values.len();
return vec![1.0 / n as f32; n];
}
// Normalize
let inv_sum = 1.0 / sum;
exp_values.iter_mut().for_each(|x| *x *= inv_sum);
exp_values
}
/// Computes softmax over a slice of values.
///
/// Uses the numerically stable variant: softmax(x) = exp(x - max(x)) / sum(exp(x - max(x)))
///
/// # Arguments
///
/// * `values` - Input values
///
/// # Returns
///
/// Softmax-normalized values
#[inline]
pub fn softmax(values: &[f32]) -> AttentionResult<Vec<f32>> {
if values.is_empty() {
return Err(AttentionError::EmptyInput(
"cannot compute softmax of empty slice".to_string(),
));
}
// Find maximum for numerical stability
let max_val = values.iter().copied().fold(f32::NEG_INFINITY, f32::max);
if !max_val.is_finite() {
return Err(AttentionError::NumericalInstability(
"non-finite values in softmax input".to_string(),
));
}
// Compute exp(x - max) and sum
let mut exp_values: Vec<f32> = values.iter().map(|&x| (x - max_val).exp()).collect();
let sum: f32 = exp_values.iter().sum();
if sum <= 0.0 || !sum.is_finite() {
return Err(AttentionError::NumericalInstability(
"invalid sum in softmax computation".to_string(),
));
}
// Normalize
let inv_sum = 1.0 / sum;
exp_values.iter_mut().for_each(|x| *x *= inv_sum);
Ok(exp_values)
}
/// Computes softmax with masking support.
///
/// Masked positions are set to negative infinity before softmax,
/// resulting in zero attention weights.
///
/// # Arguments
///
/// * `values` - Input values
/// * `mask` - Optional mask (true = attend, false = mask out)
///
/// # Returns
///
/// Masked and softmax-normalized values
#[inline]
pub fn masked_softmax(values: &[f32], mask: Option<&[bool]>) -> AttentionResult<Vec<f32>> {
if values.is_empty() {
return Err(AttentionError::EmptyInput(
"cannot compute softmax of empty slice".to_string(),
));
}
let masked_values = if let Some(m) = mask {
if m.len() != values.len() {
return Err(AttentionError::InvalidMask {
expected: format!("{}", values.len()),
actual: format!("{}", m.len()),
});
}
values
.iter()
.zip(m.iter())
.map(|(&v, &keep)| if keep { v } else { f32::NEG_INFINITY })
.collect::<Vec<_>>()
} else {
values.to_vec()
};
softmax(&masked_values)
}
/// Applies causal masking to attention scores.
///
/// For position i, only positions 0..=i can be attended to.
///
/// # Arguments
///
/// * `scores` - Attention scores matrix [query_len, key_len]
/// * `query_len` - Number of query positions
/// * `key_len` - Number of key positions
///
/// # Returns
///
/// Causally masked scores
pub fn apply_causal_mask(
scores: &mut [f32],
query_len: usize,
key_len: usize,
) -> AttentionResult<()> {
if scores.len() != query_len * key_len {
return Err(AttentionError::InvalidMask {
expected: format!("{}x{}", query_len, key_len),
actual: format!("{}", scores.len()),
});
}
for i in 0..query_len {
for j in (i + 1)..key_len {
scores[i * key_len + j] = f32::NEG_INFINITY;
}
}
Ok(())
}
/// Computes dot product between two vectors.
///
/// # Arguments
///
/// * `a` - First vector
/// * `b` - Second vector
///
/// # Returns
///
/// Dot product value
#[inline]
pub fn dot_product(a: &[f32], b: &[f32]) -> AttentionResult<f32> {
if a.len() != b.len() {
return Err(AttentionError::DimensionMismatch {
expected: a.len(),
actual: b.len(),
});
}
Ok(a.iter().zip(b.iter()).map(|(x, y)| x * y).sum())
}
/// Scales a vector by a scalar value.
///
/// # Arguments
///
/// * `vector` - Input vector (modified in place)
/// * `scale` - Scale factor
#[inline]
pub fn scale_vector(vector: &mut [f32], scale: f32) {
vector.iter_mut().for_each(|x| *x *= scale);
}
/// Adds two vectors element-wise.
///
/// # Arguments
///
/// * `a` - First vector
/// * `b` - Second vector
///
/// # Returns
///
/// Sum vector
#[inline]
pub fn add_vectors(a: &[f32], b: &[f32]) -> AttentionResult<Vec<f32>> {
if a.len() != b.len() {
return Err(AttentionError::DimensionMismatch {
expected: a.len(),
actual: b.len(),
});
}
Ok(a.iter().zip(b.iter()).map(|(x, y)| x + y).collect())
}
/// Computes L2 norm of a vector.
///
/// # Arguments
///
/// * `vector` - Input vector
///
/// # Returns
///
/// L2 norm value
#[inline]
pub fn l2_norm(vector: &[f32]) -> f32 {
vector.iter().map(|x| x * x).sum::<f32>().sqrt()
}
/// Normalizes a vector to unit length.
///
/// # Arguments
///
/// * `vector` - Input vector (modified in place)
///
/// # Returns
///
/// Original norm before normalization
pub fn normalize_vector(vector: &mut [f32]) -> AttentionResult<f32> {
let norm = l2_norm(vector);
if norm <= 0.0 || !norm.is_finite() {
return Err(AttentionError::NumericalInstability(
"cannot normalize zero or non-finite vector".to_string(),
));
}
let inv_norm = 1.0 / norm;
vector.iter_mut().for_each(|x| *x *= inv_norm);
Ok(norm)
}
/// Applies dropout to a vector during training.
///
/// # Arguments
///
/// * `vector` - Input vector (modified in place)
/// * `dropout_prob` - Dropout probability (0.0 to 1.0)
/// * `training` - Whether in training mode
/// * `rng` - Random number generator
pub fn apply_dropout(
vector: &mut [f32],
dropout_prob: f32,
training: bool,
rng: &mut impl rand::Rng,
) {
if !training || dropout_prob == 0.0 {
return;
}
let scale = 1.0 / (1.0 - dropout_prob);
for x in vector.iter_mut() {
if rng.gen::<f32>() < dropout_prob {
*x = 0.0;
} else {
*x *= scale;
}
}
}
#[cfg(test)]
mod tests {
use super::*;
use approx::assert_relative_eq;
#[test]
fn test_softmax() {
let values = vec![1.0, 2.0, 3.0];
let result = softmax(&values).unwrap();
// Sum should be approximately 1.0
let sum: f32 = result.iter().sum();
assert_relative_eq!(sum, 1.0, epsilon = 1e-6);
// Values should be in ascending order
assert!(result[0] < result[1]);
assert!(result[1] < result[2]);
}
#[test]
fn test_softmax_numerical_stability() {
let values = vec![1000.0, 1001.0, 1002.0];
let result = softmax(&values).unwrap();
let sum: f32 = result.iter().sum();
assert_relative_eq!(sum, 1.0, epsilon = 1e-6);
}
#[test]
fn test_masked_softmax() {
let values = vec![1.0, 2.0, 3.0, 4.0];
let mask = vec![true, true, false, false];
let result = masked_softmax(&values, Some(&mask)).unwrap();
// Masked positions should be zero
assert_relative_eq!(result[2], 0.0, epsilon = 1e-6);
assert_relative_eq!(result[3], 0.0, epsilon = 1e-6);
// Unmasked positions should sum to 1
let sum: f32 = result[0] + result[1];
assert_relative_eq!(sum, 1.0, epsilon = 1e-6);
}
#[test]
fn test_dot_product() {
let a = vec![1.0, 2.0, 3.0];
let b = vec![4.0, 5.0, 6.0];
let result = dot_product(&a, &b).unwrap();
assert_relative_eq!(result, 32.0, epsilon = 1e-6);
}
#[test]
fn test_scale_vector() {
let mut vector = vec![1.0, 2.0, 3.0];
scale_vector(&mut vector, 2.0);
assert_relative_eq!(vector[0], 2.0);
assert_relative_eq!(vector[1], 4.0);
assert_relative_eq!(vector[2], 6.0);
}
#[test]
fn test_normalize_vector() {
let mut vector = vec![3.0, 4.0];
let norm = normalize_vector(&mut vector).unwrap();
assert_relative_eq!(norm, 5.0, epsilon = 1e-6);
assert_relative_eq!(l2_norm(&vector), 1.0, epsilon = 1e-6);
}
#[test]
fn test_causal_mask() {
let mut scores = vec![0.0; 9]; // 3x3 matrix
apply_causal_mask(&mut scores, 3, 3).unwrap();
// Check upper triangle is masked
assert_eq!(scores[1], f32::NEG_INFINITY); // (0, 1)
assert_eq!(scores[2], f32::NEG_INFINITY); // (0, 2)
assert_eq!(scores[5], f32::NEG_INFINITY); // (1, 2)
// Check diagonal and lower triangle are not masked
assert_eq!(scores[0], 0.0); // (0, 0)
assert_eq!(scores[4], 0.0); // (1, 1)
assert_eq!(scores[8], 0.0); // (2, 2)
}
}