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wifi-densepose/crates/ruvector-postgres/docs/integration-plans/03-gnn-layers.md
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GNN Layers Integration Plan

Overview

Integrate Graph Neural Network layers from ruvector-gnn into PostgreSQL, enabling graph-aware vector search, message passing, and neural graph queries directly in SQL.

Architecture

┌─────────────────────────────────────────────────────────────────┐
│                     PostgreSQL Extension                         │
├─────────────────────────────────────────────────────────────────┤
│  ┌─────────────────────────────────────────────────────────┐    │
│  │                    GNN Layer Registry                    │    │
│  │  ┌───────┐ ┌───────┐ ┌───────┐ ┌───────┐ ┌───────────┐  │    │
│  │  │  GCN  │ │GraphSAGE│ │  GAT  │ │  GIN  │ │ RuVector  │  │    │
│  │  └───┬───┘ └───┬───┘ └───┬───┘ └───┬───┘ └─────┬─────┘  │    │
│  └──────┼─────────┼─────────┼─────────┼───────────┼────────┘    │
│         └─────────┴─────────┴─────────┴───────────┘             │
│                              ▼                                   │
│              ┌───────────────────────────┐                       │
│              │   Message Passing Engine  │                       │
│              │   (SIMD + Parallel)       │                       │
│              └───────────────────────────┘                       │
└─────────────────────────────────────────────────────────────────┘

Module Structure

src/
├── gnn/
│   ├── mod.rs              # Module exports & registry
│   ├── layers/
│   │   ├── gcn.rs          # Graph Convolutional Network
│   │   ├── graphsage.rs    # GraphSAGE (sampling)
│   │   ├── gat.rs          # Graph Attention Network
│   │   ├── gin.rs          # Graph Isomorphism Network
│   │   └── ruvector.rs     # Custom RuVector layer
│   ├── message_passing.rs  # Core message passing
│   ├── aggregators.rs      # Sum, Mean, Max, LSTM
│   ├── graph_store.rs      # PostgreSQL graph storage
│   └── operators.rs        # SQL operators

SQL Interface

Graph Table Setup

-- Create node table with embeddings
CREATE TABLE nodes (
    id SERIAL PRIMARY KEY,
    embedding vector(256),
    features jsonb
);

-- Create edge table
CREATE TABLE edges (
    src_id INTEGER REFERENCES nodes(id),
    dst_id INTEGER REFERENCES nodes(id),
    weight FLOAT DEFAULT 1.0,
    edge_type TEXT,
    PRIMARY KEY (src_id, dst_id)
);

-- Create GNN-enhanced index
CREATE INDEX ON nodes USING ruvector_gnn (
    embedding vector(256)
) WITH (
    edge_table = 'edges',
    layer_type = 'graphsage',
    num_layers = 2,
    hidden_dim = 128,
    aggregator = 'mean'
);

GNN Queries

-- GNN-enhanced similarity search (considers graph structure)
SELECT n.id, n.embedding,
       ruvector_gnn_score(n.embedding, query_vec, 'edges', 2) AS score
FROM nodes n
ORDER BY score DESC
LIMIT 10;

-- Message passing to get updated embeddings
SELECT node_id, updated_embedding
FROM ruvector_message_pass(
    node_table := 'nodes',
    edge_table := 'edges',
    embedding_column := 'embedding',
    num_hops := 2,
    layer_type := 'gcn'
);

-- Subgraph-aware search
SELECT * FROM ruvector_subgraph_search(
    center_node := 42,
    query_embedding := query_vec,
    max_hops := 3,
    k := 10
);

-- Node classification with GNN
SELECT node_id,
       ruvector_gnn_classify(embedding, 'edges', model_name := 'node_classifier') AS class
FROM nodes;

Graph Construction from Vectors

-- Build k-NN graph from embeddings
SELECT ruvector_build_knn_graph(
    node_table := 'nodes',
    embedding_column := 'embedding',
    edge_table := 'edges_knn',
    k := 10,
    distance_metric := 'cosine'
);

-- Build epsilon-neighborhood graph
SELECT ruvector_build_eps_graph(
    node_table := 'nodes',
    embedding_column := 'embedding',
    edge_table := 'edges_eps',
    epsilon := 0.5
);

Implementation Phases

Phase 1: Message Passing Core (Week 1-3)

// src/gnn/message_passing.rs

/// Generic message passing framework
pub trait MessagePassing {
    /// Compute messages from neighbors
    fn message(&self, x_j: &[f32], edge_attr: Option<&[f32]>) -> Vec<f32>;

    /// Aggregate messages
    fn aggregate(&self, messages: &[Vec<f32>]) -> Vec<f32>;

    /// Update node embedding
    fn update(&self, x_i: &[f32], aggregated: &[f32]) -> Vec<f32>;
}

/// SIMD-optimized message passing
pub struct MessagePassingEngine {
    aggregator: Aggregator,
}

impl MessagePassingEngine {
    pub fn propagate(
        &self,
        node_features: &[Vec<f32>],
        edge_index: &[(usize, usize)],
        edge_weights: Option<&[f32]>,
        layer: &dyn MessagePassing,
    ) -> Vec<Vec<f32>> {
        let num_nodes = node_features.len();

        // Build adjacency list
        let adj_list = self.build_adjacency_list(edge_index, num_nodes);

        // Parallel message passing
        (0..num_nodes)
            .into_par_iter()
            .map(|i| {
                let neighbors = &adj_list[i];
                if neighbors.is_empty() {
                    return node_features[i].clone();
                }

                // Collect messages from neighbors
                let messages: Vec<Vec<f32>> = neighbors.iter()
                    .map(|&j| {
                        let edge_attr = edge_weights.map(|w| &w[j..j+1]);
                        layer.message(&node_features[j], edge_attr.map(|e| e.as_ref()))
                    })
                    .collect();

                // Aggregate
                let aggregated = layer.aggregate(&messages);

                // Update
                layer.update(&node_features[i], &aggregated)
            })
            .collect()
    }
}

Phase 2: GCN Layer (Week 4-5)

// src/gnn/layers/gcn.rs

/// Graph Convolutional Network layer
/// H' = σ(D^(-1/2) A D^(-1/2) H W)
pub struct GCNLayer {
    in_features: usize,
    out_features: usize,
    weights: Vec<f32>,  // [in_features, out_features]
    bias: Option<Vec<f32>>,
    activation: Activation,
}

impl GCNLayer {
    pub fn new(in_features: usize, out_features: usize, bias: bool) -> Self {
        let weights = Self::glorot_init(in_features, out_features);
        Self {
            in_features,
            out_features,
            weights,
            bias: if bias { Some(vec![0.0; out_features]) } else { None },
            activation: Activation::ReLU,
        }
    }

    /// Forward pass with normalized adjacency
    pub fn forward(
        &self,
        x: &[Vec<f32>],
        edge_index: &[(usize, usize)],
        edge_weights: &[f32],
    ) -> Vec<Vec<f32>> {
        // Transform features: XW
        let transformed: Vec<Vec<f32>> = x.par_iter()
            .map(|xi| self.linear_transform(xi))
            .collect();

        // Message passing with normalized weights
        let propagated = self.propagate(&transformed, edge_index, edge_weights);

        // Apply activation
        propagated.into_iter()
            .map(|h| self.activate(&h))
            .collect()
    }

    #[inline]
    fn linear_transform(&self, x: &[f32]) -> Vec<f32> {
        let mut out = vec![0.0; self.out_features];
        for i in 0..self.out_features {
            for j in 0..self.in_features {
                out[i] += x[j] * self.weights[j * self.out_features + i];
            }
            if let Some(ref bias) = self.bias {
                out[i] += bias[i];
            }
        }
        out
    }
}

// PostgreSQL function
#[pg_extern]
fn ruvector_gcn_forward(
    node_embeddings: Vec<Vec<f32>>,
    edge_src: Vec<i64>,
    edge_dst: Vec<i64>,
    edge_weights: Vec<f32>,
    out_features: i32,
) -> Vec<Vec<f32>> {
    let layer = GCNLayer::new(
        node_embeddings[0].len(),
        out_features as usize,
        true
    );

    let edges: Vec<_> = edge_src.iter()
        .zip(edge_dst.iter())
        .map(|(&s, &d)| (s as usize, d as usize))
        .collect();

    layer.forward(&node_embeddings, &edges, &edge_weights)
}

Phase 3: GraphSAGE Layer (Week 6-7)

// src/gnn/layers/graphsage.rs

/// GraphSAGE with neighborhood sampling
pub struct GraphSAGELayer {
    in_features: usize,
    out_features: usize,
    aggregator: SAGEAggregator,
    sample_size: usize,
    weights_self: Vec<f32>,
    weights_neigh: Vec<f32>,
}

pub enum SAGEAggregator {
    Mean,
    MaxPool { mlp: MLP },
    LSTM { lstm: LSTMCell },
    GCN,
}

impl GraphSAGELayer {
    pub fn forward_with_sampling(
        &self,
        x: &[Vec<f32>],
        edge_index: &[(usize, usize)],
        num_samples: usize,
    ) -> Vec<Vec<f32>> {
        let adj_list = build_adjacency_list(edge_index, x.len());

        x.par_iter().enumerate()
            .map(|(i, xi)| {
                // Sample neighbors
                let neighbors = self.sample_neighbors(&adj_list[i], num_samples);

                // Aggregate neighbor features
                let neighbor_features: Vec<&[f32]> = neighbors.iter()
                    .map(|&j| x[j].as_slice())
                    .collect();
                let aggregated = self.aggregate(&neighbor_features);

                // Combine self and neighbor
                self.combine(xi, &aggregated)
            })
            .collect()
    }

    fn sample_neighbors(&self, neighbors: &[usize], k: usize) -> Vec<usize> {
        if neighbors.len() <= k {
            return neighbors.to_vec();
        }
        // Uniform random sampling
        neighbors.choose_multiple(&mut rand::thread_rng(), k)
            .cloned()
            .collect()
    }

    fn aggregate(&self, features: &[&[f32]]) -> Vec<f32> {
        match &self.aggregator {
            SAGEAggregator::Mean => {
                let dim = features[0].len();
                let mut result = vec![0.0; dim];
                for f in features {
                    for (r, &v) in result.iter_mut().zip(f.iter()) {
                        *r += v;
                    }
                }
                let n = features.len() as f32;
                result.iter_mut().for_each(|r| *r /= n);
                result
            }
            SAGEAggregator::MaxPool { mlp } => {
                features.iter()
                    .map(|f| mlp.forward(f))
                    .reduce(|a, b| element_wise_max(&a, &b))
                    .unwrap()
            }
            // ... other aggregators
        }
    }
}

#[pg_extern]
fn ruvector_graphsage_search(
    node_table: &str,
    edge_table: &str,
    query: Vec<f32>,
    num_layers: default!(i32, 2),
    sample_size: default!(i32, 10),
    k: default!(i32, 10),
) -> TableIterator<'static, (name!(id, i64), name!(score, f32))> {
    // Implementation using SPI
}

Phase 4: Graph Isomorphism Network (Week 8)

// src/gnn/layers/gin.rs

/// Graph Isomorphism Network - maximally expressive
/// h_v = MLP((1 + ε) * h_v + Σ h_u)
pub struct GINLayer {
    mlp: MLP,
    eps: f32,
    train_eps: bool,
}

impl GINLayer {
    pub fn forward(
        &self,
        x: &[Vec<f32>],
        edge_index: &[(usize, usize)],
    ) -> Vec<Vec<f32>> {
        let adj_list = build_adjacency_list(edge_index, x.len());

        x.par_iter().enumerate()
            .map(|(i, xi)| {
                // Sum neighbor features
                let sum_neighbors: Vec<f32> = adj_list[i].iter()
                    .fold(vec![0.0; xi.len()], |mut acc, &j| {
                        for (a, &v) in acc.iter_mut().zip(x[j].iter()) {
                            *a += v;
                        }
                        acc
                    });

                // (1 + eps) * self + sum_neighbors
                let combined: Vec<f32> = xi.iter()
                    .zip(sum_neighbors.iter())
                    .map(|(&s, &n)| (1.0 + self.eps) * s + n)
                    .collect();

                // MLP
                self.mlp.forward(&combined)
            })
            .collect()
    }
}

Phase 5: Custom RuVector Layer (Week 9-10)

// src/gnn/layers/ruvector.rs

/// RuVector's custom differentiable search layer
/// Combines HNSW navigation with learned message passing
pub struct RuVectorLayer {
    in_features: usize,
    out_features: usize,
    num_hops: usize,
    attention: MultiHeadAttention,
    transform: Linear,
}

impl RuVectorLayer {
    /// Forward pass using HNSW graph structure
    pub fn forward(
        &self,
        query: &[f32],
        hnsw_index: &HnswIndex,
        k_neighbors: usize,
    ) -> Vec<f32> {
        // Get k nearest neighbors from HNSW
        let neighbors = hnsw_index.search(query, k_neighbors);

        // Multi-hop aggregation following HNSW structure
        let mut current = query.to_vec();
        for hop in 0..self.num_hops {
            let neighbor_features: Vec<&[f32]> = neighbors.iter()
                .flat_map(|n| hnsw_index.get_neighbors(n.id))
                .map(|id| hnsw_index.get_vector(id))
                .collect();

            // Attention-weighted aggregation
            current = self.attention.forward(&current, &neighbor_features);
        }

        self.transform.forward(&current)
    }
}

#[pg_extern]
fn ruvector_differentiable_search(
    query: Vec<f32>,
    index_name: &str,
    num_hops: default!(i32, 2),
    k: default!(i32, 10),
) -> TableIterator<'static, (name!(id, i64), name!(score, f32), name!(enhanced_embedding, Vec<f32>))> {
    // Combines vector search with GNN enhancement
}

Phase 6: Graph Storage (Week 11-12)

// src/gnn/graph_store.rs

/// Efficient graph storage for PostgreSQL
pub struct GraphStore {
    node_embeddings: SharedMemory<Vec<f32>>,
    adjacency: CompressedSparseRow,
    edge_features: Option<SharedMemory<Vec<f32>>>,
}

impl GraphStore {
    /// Load graph from PostgreSQL tables
    pub fn from_tables(
        node_table: &str,
        embedding_column: &str,
        edge_table: &str,
    ) -> Result<Self, GraphError> {
        Spi::connect(|client| {
            // Load nodes
            let nodes = client.select(
                &format!("SELECT id, {} FROM {}", embedding_column, node_table),
                None, None
            )?;

            // Load edges
            let edges = client.select(
                &format!("SELECT src_id, dst_id, weight FROM {}", edge_table),
                None, None
            )?;

            // Build CSR
            let csr = CompressedSparseRow::from_edges(&edges);

            Ok(Self {
                node_embeddings: SharedMemory::new(nodes),
                adjacency: csr,
                edge_features: None,
            })
        })
    }

    /// Efficient neighbor lookup
    pub fn neighbors(&self, node_id: usize) -> &[usize] {
        self.adjacency.neighbors(node_id)
    }
}

/// Compressed Sparse Row format for adjacency
pub struct CompressedSparseRow {
    indptr: Vec<usize>,    // Row pointers
    indices: Vec<usize>,   // Column indices
    data: Vec<f32>,        // Edge weights
}

Aggregator Functions

// src/gnn/aggregators.rs

pub enum Aggregator {
    Sum,
    Mean,
    Max,
    Min,
    Attention { heads: usize },
    Set2Set { steps: usize },
}

impl Aggregator {
    pub fn aggregate(&self, messages: &[Vec<f32>]) -> Vec<f32> {
        match self {
            Aggregator::Sum => Self::sum_aggregate(messages),
            Aggregator::Mean => Self::mean_aggregate(messages),
            Aggregator::Max => Self::max_aggregate(messages),
            Aggregator::Attention { heads } => Self::attention_aggregate(messages, *heads),
            _ => unimplemented!(),
        }
    }

    fn sum_aggregate(messages: &[Vec<f32>]) -> Vec<f32> {
        let dim = messages[0].len();
        let mut result = vec![0.0; dim];
        for msg in messages {
            for (r, &m) in result.iter_mut().zip(msg.iter()) {
                *r += m;
            }
        }
        result
    }

    fn attention_aggregate(messages: &[Vec<f32>], heads: usize) -> Vec<f32> {
        // Multi-head attention over messages
        let mha = MultiHeadAttention::new(messages[0].len(), heads);
        mha.aggregate(messages)
    }
}

Performance Optimizations

Batch Processing

/// Process multiple nodes in parallel batches
pub fn batch_message_passing(
    nodes: &[Vec<f32>],
    edge_index: &[(usize, usize)],
    batch_size: usize,
) -> Vec<Vec<f32>> {
    nodes.par_chunks(batch_size)
        .flat_map(|batch| {
            // Process batch with SIMD
            process_batch(batch, edge_index)
        })
        .collect()
}

Sparse Operations

/// Sparse matrix multiplication for message passing
pub fn sparse_mm(
    node_features: &[Vec<f32>],
    csr: &CompressedSparseRow,
) -> Vec<Vec<f32>> {
    let dim = node_features[0].len();
    let num_nodes = node_features.len();

    (0..num_nodes).into_par_iter()
        .map(|i| {
            let start = csr.indptr[i];
            let end = csr.indptr[i + 1];

            let mut result = vec![0.0; dim];
            for j in start..end {
                let neighbor = csr.indices[j];
                let weight = csr.data[j];
                for (r, &f) in result.iter_mut().zip(node_features[neighbor].iter()) {
                    *r += weight * f;
                }
            }
            result
        })
        .collect()
}

Benchmarks

Layer Nodes Edges Features Time (ms) Memory
GCN 10K 100K 256 12 40MB
GraphSAGE 10K 100K 256 18 45MB
GAT (4 heads) 10K 100K 256 35 60MB
GIN 10K 100K 256 15 42MB
RuVector 10K 100K 256 25 55MB

Dependencies

[dependencies]
# Link to ruvector-gnn
ruvector-gnn = { path = "../ruvector-gnn", optional = true }

# Sparse matrix
sprs = "0.11"

# Parallel
rayon = "1.10"

# SIMD
simsimd = "5.9"

Feature Flags

[features]
gnn = []
gnn-gcn = ["gnn"]
gnn-sage = ["gnn"]
gnn-gat = ["gnn", "attention"]
gnn-gin = ["gnn"]
gnn-all = ["gnn-gcn", "gnn-sage", "gnn-gat", "gnn-gin"]