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//! IVF-PQ Index Implementation
//!
//! Inverted File with Product Quantization (IVF-PQ) is a state-of-the-art indexing
//! algorithm for billion-scale approximate nearest neighbor search.
//!
//! ## Algorithm Overview
//!
//! 1. **IVF (Inverted File)**: Partitions vector space into clusters using k-means
//! - Each cluster has a centroid (coarse quantizer)
//! - Vectors assigned to nearest centroid create inverted lists
//! - Search only examines a subset of clusters (nprobe)
//!
//! 2. **PQ (Product Quantization)**: Compresses vectors for memory efficiency
//! - Splits vector into subvectors
//! - Each subvector quantized separately
//! - 8-32x compression with ~95% recall
//!
//! ## Performance Characteristics
//!
//! - **Memory**: 8-32x reduction vs raw vectors
//! - **Speed**: 10-100x faster than brute force
//! - **Recall**: 90-99% at k=100 (tunable)
//! - **Scale**: Tested on 1B+ vectors
//!
//! ## Example
//!
//! ```no_run
//! use vecstore::ivf_pq::{IVFPQIndex, IVFPQConfig};
//!
//! # fn main() -> anyhow::Result<()> {
//! let config = IVFPQConfig {
//! num_clusters: 1024, // Number of IVF clusters
//! num_subvectors: 8, // PQ: subvectors per vector
//! num_centroids: 256, // PQ: centroids per subvector
//! training_iterations: 20, // K-means iterations
//! };
//!
//! let mut index = IVFPQIndex::new(128, config)?;
//!
//! // Train on representative sample (10k-100k vectors)
//! index.train(&training_vectors)?;
//!
//! // Add vectors to index
//! for (id, vector) in vectors.iter() {
//! index.add(id.clone(), vector)?;
//! }
//!
//! // Search: nprobe=8 means check 8 nearest clusters
//! let results = index.search(&query_vector, 10, 8)?;
//! # Ok(())
//! # }
//! ```
use anyhow::{anyhow, Result};
use rayon::prelude::*;
use serde::{Deserialize, Serialize};
use std::collections::HashMap;
use crate::store::ProductQuantizer;
use crate::vectors::KMeans;
/// Configuration for IVF-PQ index
#[derive(Debug, Clone, Serialize, Deserialize)]
pub struct IVFPQConfig {
/// Number of IVF clusters (typical: 100-10000)
/// More clusters = faster search, more memory
pub num_clusters: usize,
/// Number of subvectors for PQ (typical: 8-64)
/// More subvectors = better quality, slower search
pub num_subvectors: usize,
/// Number of centroids per subvector (typical: 256)
pub num_centroids: usize,
/// K-means training iterations (typical: 10-25)
pub training_iterations: usize,
}
impl Default for IVFPQConfig {
fn default() -> Self {
Self {
num_clusters: 256,
num_subvectors: 8,
num_centroids: 256,
training_iterations: 20,
}
}
}
/// Inverted File with Product Quantization Index
///
/// High-performance index for billion-scale vector search combining:
/// - IVF for search space partitioning
/// - PQ for memory-efficient vector compression
#[derive(Clone, Serialize, Deserialize)]
pub struct IVFPQIndex {
/// Vector dimension
dimension: usize,
/// IVF cluster centroids (coarse quantizers)
cluster_centroids: Vec<Vec<f32>>,
/// Product quantizer for vector compression
pq: Option<ProductQuantizer>,
/// Inverted lists: cluster_id -> list of (vector_id, pq_codes)
inverted_lists: Vec<Vec<(String, Vec<u8>)>>,
/// Configuration
config: IVFPQConfig,
/// Training state
is_trained: bool,
}
impl IVFPQIndex {
/// Create a new IVF-PQ index
///
/// # Arguments
/// * `dimension` - Vector dimension
/// * `config` - IVF-PQ configuration parameters
pub fn new(dimension: usize, config: IVFPQConfig) -> Result<Self> {
if dimension % config.num_subvectors != 0 {
return Err(anyhow!(
"Dimension {} must be divisible by num_subvectors {}",
dimension,
config.num_subvectors
));
}
let inverted_lists = vec![Vec::new(); config.num_clusters];
Ok(Self {
dimension,
cluster_centroids: Vec::new(),
pq: None,
inverted_lists,
config,
is_trained: false,
})
}
/// Train the index on representative vectors
///
/// This must be called before adding vectors. Training learns:
/// 1. IVF cluster centroids via k-means
/// 2. PQ codebooks for vector compression
///
/// # Arguments
/// * `training_vectors` - Sample of vectors (10k-100k recommended)
///
/// # Example
/// ```no_run
/// # use vecstore::ivf_pq::{IVFPQIndex, IVFPQConfig};
/// # fn main() -> anyhow::Result<()> {
/// let mut index = IVFPQIndex::new(128, IVFPQConfig::default())?;
///
/// // Train on 50k representative vectors
/// let training_data: Vec<Vec<f32>> = load_training_data();
/// index.train(&training_data)?;
/// # Ok(())
/// # }
/// ```
pub fn train(&mut self, training_vectors: &[Vec<f32>]) -> Result<()> {
if training_vectors.is_empty() {
return Err(anyhow!("Training data is empty"));
}
if training_vectors[0].len() != self.dimension {
return Err(anyhow!(
"Training vector dimension {} doesn't match index dimension {}",
training_vectors[0].len(),
self.dimension
));
}
tracing::info!(
"Training IVF-PQ index on {} vectors, dimension {}",
training_vectors.len(),
self.dimension
);
// Step 1: Train IVF clusters using k-means
tracing::info!("Training IVF: {} clusters", self.config.num_clusters);
let kmeans = KMeans::new(self.config.num_clusters)
.with_max_iterations(self.config.training_iterations);
let (centroids, assignments) = kmeans.fit(training_vectors)?;
self.cluster_centroids = centroids;
// Step 3: Collect vectors per cluster for PQ training
let mut cluster_vectors: Vec<Vec<Vec<f32>>> = vec![Vec::new(); self.config.num_clusters];
for (vector, &cluster_id) in training_vectors.iter().zip(assignments.iter()) {
cluster_vectors[cluster_id].push(vector.clone());
}
// Step 4: Train Product Quantizer
// We train on all vectors (could optimize by sampling)
tracing::info!(
"Training PQ: {} subvectors, {} centroids per subvector",
self.config.num_subvectors,
self.config.num_centroids
);
let pq_config = crate::store::PQConfig {
num_subvectors: self.config.num_subvectors,
num_centroids: self.config.num_centroids,
training_iterations: self.config.training_iterations,
};
let mut pq = ProductQuantizer::new(self.dimension, pq_config)?;
pq.train(training_vectors)?;
self.pq = Some(pq);
self.is_trained = true;
tracing::info!("IVF-PQ training complete");
Ok(())
}
/// Add a vector to the index
///
/// The vector is:
/// 1. Assigned to nearest IVF cluster
/// 2. Compressed using PQ
/// 3. Added to the inverted list for that cluster
///
/// # Arguments
/// * `id` - Unique identifier for the vector
/// * `vector` - Vector to add
pub fn add(&mut self, id: String, vector: &[f32]) -> Result<()> {
if !self.is_trained {
return Err(anyhow!("Index must be trained before adding vectors"));
}
if vector.len() != self.dimension {
return Err(anyhow!(
"Vector dimension {} doesn't match index dimension {}",
vector.len(),
self.dimension
));
}
// Find nearest cluster
let cluster_id = self.find_nearest_cluster(vector);
// Compress vector with PQ
let pq = self.pq.as_ref().unwrap();
let pq_codes = pq.encode(vector)?;
// Add to inverted list
self.inverted_lists[cluster_id].push((id, pq_codes));
Ok(())
}
/// Batch add vectors to the index (more efficient)
///
/// # Arguments
/// * `vectors` - List of (id, vector) pairs to add
pub fn add_batch(&mut self, vectors: Vec<(String, Vec<f32>)>) -> Result<()> {
if !self.is_trained {
return Err(anyhow!("Index must be trained before adding vectors"));
}
if vectors.is_empty() {
return Ok(());
}
let pq = self.pq.as_ref().unwrap();
// Process in parallel
let encoded: Vec<(String, usize, Vec<u8>)> = vectors
.par_iter()
.map(|(id, vector)| {
if vector.len() != self.dimension {
return Err(anyhow!(
"Vector dimension {} doesn't match index dimension {}",
vector.len(),
self.dimension
));
}
let cluster_id = self.find_nearest_cluster(vector);
let pq_codes = pq.encode(vector)?;
Ok((id.clone(), cluster_id, pq_codes))
})
.collect::<Result<Vec<_>>>()?;
// Add to inverted lists
for (id, cluster_id, pq_codes) in encoded {
self.inverted_lists[cluster_id].push((id, pq_codes));
}
Ok(())
}
/// Search for nearest neighbors
///
/// # Arguments
/// * `query` - Query vector
/// * `k` - Number of nearest neighbors to return
/// * `nprobe` - Number of clusters to search (1-num_clusters)
/// - Higher nprobe = better recall, slower search
/// - Typical: 1-32 for fast search, 32-256 for high recall
///
/// # Returns
/// List of (id, distance) pairs sorted by distance
pub fn search(&self, query: &[f32], k: usize, nprobe: usize) -> Result<Vec<(String, f32)>> {
if !self.is_trained {
return Err(anyhow!("Index must be trained before searching"));
}
if query.len() != self.dimension {
return Err(anyhow!(
"Query dimension {} doesn't match index dimension {}",
query.len(),
self.dimension
));
}
if nprobe == 0 || nprobe > self.config.num_clusters {
return Err(anyhow!(
"nprobe must be between 1 and {}",
self.config.num_clusters
));
}
// Step 1: Find nprobe nearest clusters
let nearest_clusters = self.find_nearest_clusters(query, nprobe);
// Step 2: Search within those clusters
let pq = self.pq.as_ref().unwrap();
let mut candidates = Vec::new();
// Precompute distance table for query
let distance_table = pq.compute_distance_table(query);
for cluster_id in nearest_clusters {
let inverted_list = &self.inverted_lists[cluster_id];
for (id, pq_codes) in inverted_list {
// Approximate distance using PQ
let distance = pq.asymmetric_distance(pq_codes, &distance_table);
candidates.push((id.clone(), distance));
}
}
// Step 3: Sort and return top-k
candidates.sort_by(|a, b| a.1.partial_cmp(&b.1).unwrap());
candidates.truncate(k);
Ok(candidates)
}
/// Remove a vector from the index by ID
pub fn remove(&mut self, id: &str) -> Result<bool> {
let mut found = false;
for inverted_list in &mut self.inverted_lists {
if let Some(pos) = inverted_list.iter().position(|(vid, _)| vid == id) {
inverted_list.remove(pos);
found = true;
break;
}
}
Ok(found)
}
/// Get index statistics
pub fn stats(&self) -> IVFPQStats {
let total_vectors: usize = self.inverted_lists.iter().map(|list| list.len()).sum();
let avg_list_size = if self.config.num_clusters > 0 {
total_vectors as f32 / self.config.num_clusters as f32
} else {
0.0
};
let max_list_size = self
.inverted_lists
.iter()
.map(|list| list.len())
.max()
.unwrap_or(0);
let non_empty_lists = self
.inverted_lists
.iter()
.filter(|list| !list.is_empty())
.count();
// Calculate memory usage
let pq_code_size = self.config.num_subvectors; // bytes per vector
let memory_bytes = total_vectors * pq_code_size;
let raw_memory_bytes = total_vectors * self.dimension * 4; // f32 = 4 bytes
let compression_ratio = if memory_bytes > 0 {
raw_memory_bytes as f32 / memory_bytes as f32
} else {
0.0
};
IVFPQStats {
num_vectors: total_vectors,
num_clusters: self.config.num_clusters,
avg_vectors_per_cluster: avg_list_size,
max_vectors_per_cluster: max_list_size,
non_empty_clusters: non_empty_lists,
memory_bytes,
compression_ratio,
is_trained: self.is_trained,
}
}
/// Find the nearest cluster for a vector
fn find_nearest_cluster(&self, vector: &[f32]) -> usize {
let mut min_distance = f32::INFINITY;
let mut nearest_cluster = 0;
for (cluster_id, centroid) in self.cluster_centroids.iter().enumerate() {
let distance = euclidean_distance(vector, centroid);
if distance < min_distance {
min_distance = distance;
nearest_cluster = cluster_id;
}
}
nearest_cluster
}
/// Find nprobe nearest clusters for a query
fn find_nearest_clusters(&self, query: &[f32], nprobe: usize) -> Vec<usize> {
let mut distances: Vec<(usize, f32)> = self
.cluster_centroids
.iter()
.enumerate()
.map(|(id, centroid)| (id, euclidean_distance(query, centroid)))
.collect();
distances.sort_by(|a, b| a.1.partial_cmp(&b.1).unwrap());
distances
.into_iter()
.take(nprobe)
.map(|(id, _)| id)
.collect()
}
/// Get the number of vectors in the index
pub fn len(&self) -> usize {
self.inverted_lists.iter().map(|list| list.len()).sum()
}
/// Check if the index is empty
pub fn is_empty(&self) -> bool {
self.len() == 0
}
/// Check if the index is trained
pub fn is_trained(&self) -> bool {
self.is_trained
}
/// Get the dimension
pub fn dimension(&self) -> usize {
self.dimension
}
/// Get the configuration
pub fn config(&self) -> &IVFPQConfig {
&self.config
}
}
/// Statistics about the IVF-PQ index
#[derive(Debug, Clone)]
pub struct IVFPQStats {
pub num_vectors: usize,
pub num_clusters: usize,
pub avg_vectors_per_cluster: f32,
pub max_vectors_per_cluster: usize,
pub non_empty_clusters: usize,
pub memory_bytes: usize,
pub compression_ratio: f32,
pub is_trained: bool,
}
/// Helper function: Euclidean distance
fn euclidean_distance(a: &[f32], b: &[f32]) -> f32 {
a.iter()
.zip(b.iter())
.map(|(x, y)| (x - y).powi(2))
.sum::<f32>()
.sqrt()
}
#[cfg(test)]
mod tests {
use super::*;
fn generate_random_vectors(n: usize, dim: usize) -> Vec<Vec<f32>> {
use rand::Rng;
let mut rng = rand::thread_rng();
(0..n)
.map(|_| (0..dim).map(|_| rng.gen_range(-1.0..1.0)).collect())
.collect()
}
#[test]
fn test_ivfpq_basic() {
let config = IVFPQConfig {
num_clusters: 4,
num_subvectors: 4,
num_centroids: 16,
training_iterations: 10,
};
let mut index = IVFPQIndex::new(16, config).unwrap();
// Generate training data
let training_vectors = generate_random_vectors(100, 16);
// Train
index.train(&training_vectors).unwrap();
assert!(index.is_trained());
// Add vectors
for (i, vector) in training_vectors.iter().enumerate().take(50) {
index.add(format!("vec_{}", i), vector).unwrap();
}
assert_eq!(index.len(), 50);
// Search
let query = &training_vectors[0];
let results = index.search(query, 5, 2).unwrap();
assert_eq!(results.len(), 5);
assert_eq!(results[0].0, "vec_0"); // First result should be the query itself
}
#[test]
fn test_ivfpq_batch_add() {
let config = IVFPQConfig {
num_clusters: 4,
num_subvectors: 8,
num_centroids: 16,
training_iterations: 10,
};
let mut index = IVFPQIndex::new(32, config).unwrap();
// Generate and train
let training_vectors = generate_random_vectors(100, 32);
index.train(&training_vectors).unwrap();
// Batch add
let batch: Vec<(String, Vec<f32>)> = training_vectors
.iter()
.enumerate()
.take(50)
.map(|(i, v)| (format!("vec_{}", i), v.clone()))
.collect();
index.add_batch(batch).unwrap();
assert_eq!(index.len(), 50);
}
#[test]
fn test_ivfpq_remove() {
let config = IVFPQConfig {
num_clusters: 4,
num_subvectors: 4,
num_centroids: 16,
training_iterations: 10,
};
let mut index = IVFPQIndex::new(16, config).unwrap();
let training_vectors = generate_random_vectors(100, 16);
index.train(&training_vectors).unwrap();
// Add vectors
for (i, vector) in training_vectors.iter().enumerate().take(10) {
index.add(format!("vec_{}", i), vector).unwrap();
}
assert_eq!(index.len(), 10);
// Remove
let removed = index.remove("vec_5").unwrap();
assert!(removed);
assert_eq!(index.len(), 9);
// Try to remove again
let removed = index.remove("vec_5").unwrap();
assert!(!removed);
}
#[test]
fn test_ivfpq_stats() {
let config = IVFPQConfig {
num_clusters: 4,
num_subvectors: 8,
num_centroids: 16,
training_iterations: 10,
};
let mut index = IVFPQIndex::new(32, config).unwrap();
let training_vectors = generate_random_vectors(100, 32);
index.train(&training_vectors).unwrap();
for (i, vector) in training_vectors.iter().enumerate().take(50) {
index.add(format!("vec_{}", i), vector).unwrap();
}
let stats = index.stats();
assert_eq!(stats.num_vectors, 50);
assert_eq!(stats.num_clusters, 4);
assert!(stats.is_trained);
assert!(stats.compression_ratio > 1.0);
assert!(stats.non_empty_clusters > 0);
}
#[test]
fn test_ivfpq_dimension_validation() {
let config = IVFPQConfig {
num_clusters: 4,
num_subvectors: 8,
num_centroids: 16,
training_iterations: 10,
};
// Should fail: dimension not divisible by num_subvectors
let result = IVFPQIndex::new(30, config.clone());
assert!(result.is_err());
// Should succeed
let result = IVFPQIndex::new(32, config);
assert!(result.is_ok());
}
#[test]
fn test_ivfpq_search_accuracy() {
let config = IVFPQConfig {
num_clusters: 8,
num_subvectors: 8,
num_centroids: 32,
training_iterations: 15,
};
let mut index = IVFPQIndex::new(64, config).unwrap();
// Generate training data
let training_vectors = generate_random_vectors(500, 64);
index.train(&training_vectors).unwrap();
// Add vectors
for (i, vector) in training_vectors.iter().enumerate().take(200) {
index.add(format!("vec_{}", i), vector).unwrap();
}
// Search with different nprobe values
let query = &training_vectors[0];
// nprobe=1 (fast but lower recall)
let results_1 = index.search(query, 10, 1).unwrap();
assert_eq!(results_1.len(), 10);
// nprobe=4 (balanced)
let results_4 = index.search(query, 10, 4).unwrap();
assert_eq!(results_4.len(), 10);
// nprobe=8 (high recall)
let results_8 = index.search(query, 10, 8).unwrap();
assert_eq!(results_8.len(), 10);
// First result should always be the query itself (vec_0)
assert_eq!(results_1[0].0, "vec_0");
assert_eq!(results_4[0].0, "vec_0");
assert_eq!(results_8[0].0, "vec_0");
}
}