nanopq

Nano Product Quantization (nanopq): a vanilla implementation of Product Quantization (PQ) and Optimized Product Quantization (OPQ) written in pure python without any third party dependencies.

Installing

You can install the package via pip. This library works with Python 3.5+ on linux.

pip install nanopq

Documentation

• Tutorial
• API

Example

import nanopq
import numpy as np

N, Nt, D = 10000, 2000, 128
X = np.random.random((N, D)).astype(np.float32)  # 10,000 128-dim vectors to be indexed
Xt = np.random.random((Nt, D)).astype(np.float32)  # 2,000 128-dim vectors for training
query = np.random.random((D,)).astype(np.float32)  # a 128-dim query vector
Instantiate with M=8 sub-spaces
pq = nanopq.PQ(M=8)
Train codewords
pq.fit(Xt)
Encode to PQ-codes
X_code = pq.encode(X)  # (10000, 8) with dtype=np.uint8
Results: create a distance table online, and compute Asymmetric Distance to each PQ-code
dists = pq.dtable(query).adist(X_code)  # (10000, ) 

Author

• Yusuke Matsui

Reference

• H. Jegou, M. Douze, and C. Schmid, "Product Quantization for Nearest Neighbor Search", IEEE TPAMI 2011 (the original paper of PQ)
• T. Ge, K. He, Q. Ke, and J. Sun, "Optimized Product Quantization", IEEE TPAMI 2014 (the original paper of OPQ)
• Y. Matsui, Y. Uchida, H. Jegou, and S. Satoh, "A Survey of Product Quantization", ITE MTA 2018 (a survey paper of PQ)
• PQ in faiss (Faiss contains an optimized implementation of PQ. See the difference to ours here)
• Rayuela.jl (Julia implementation of several encoding algorithms including PQ and OPQ)
• PQk-means (clustering on PQ-codes. The implementation of nanopq is compatible to that of PQk-means)
• Rii (IVFPQ-based ANN algorithm using nanopq)