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Vector quantization(VQ) is a lossy data compression technique from signal processing, which is restricted to feature vectors and therefore inapplicable for combinatorial structures. This contribution presents a theoretical foundation of…

Artificial Intelligence · Computer Science 2010-01-07 Brijnesh J. Jain , Klaus Obermayer

Embedding vectors are widely used for representing unstructured data and searching through it for semantically similar items. However, the large size of these vectors, due to their high-dimensionality, creates problems for modern vector…

Machine Learning · Computer Science 2025-09-24 Mariano Tepper , Ted Willke

Vector quantization is a fundamental operation for data compression and vector search. To obtain high accuracy, multi-codebook methods represent each vector using codewords across several codebooks. Residual quantization (RQ) is one such…

Machine Learning · Computer Science 2024-05-22 Iris A. M. Huijben , Matthijs Douze , Matthew Muckley , Ruud J. G. van Sloun , Jakob Verbeek

In this work, we developed and tested 3 techniques for vector quantization (VQ) based model weight compression. To mitigate codebook collapse and enable end-to-end training, we adopted cosine similarity-based assignment. Building on ideas…

Machine Learning · Computer Science 2026-04-28 Terry Gou , Puneet Gupta

This paper proposes a novel matrix quantization method, Binary Quadratic Quantization (BQQ). In contrast to conventional first-order quantization approaches, such as uniform quantization and binary coding quantization, that approximate…

Computer Vision and Pattern Recognition · Computer Science 2025-10-22 Kyo Kuroki , Yasuyuki Okoshi , Thiem Van Chu , Kazushi Kawamura , Masato Motomura

Product quantisation (PQ) is a classical method for scalable vector encoding, yet it has seen limited usage for latent representations in high-fidelity image generation. In this work, we introduce PQGAN, a quantised image autoencoder that…

Computer Vision and Pattern Recognition · Computer Science 2025-10-06 Denis Zavadski , Nikita Philip Tatsch , Carsten Rother

Vector quantization is a fundamental technique for compression and large-scale nearest neighbor search. For high-accuracy operating points, multi-codebook quantization associates data vectors with one element from each of multiple…

Machine Learning · Computer Science 2025-01-08 Théophane Vallaeys , Matthew Muckley , Jakob Verbeek , Matthijs Douze

Embedding layers are commonly used to map discrete symbols into continuous embedding vectors that reflect their semantic meanings. Despite their effectiveness, the number of parameters in an embedding layer increases linearly with the…

Machine Learning · Computer Science 2020-06-29 Ting Chen , Lala Li , Yizhou Sun

Product Quantization (PQ) has long been a mainstream for generating an exponentially large codebook at very low memory/time cost. Despite its success, PQ is still tricky for the decomposition of high-dimensional vector space, and the…

Computer Vision and Pattern Recognition · Computer Science 2020-12-08 Lianli Gao , Xiaosu Zhu , Jingkuan Song , Zhou Zhao , Heng Tao Shen

Vector Quantization (VQ) underpins many modern generative frameworks such as VQ-VAE, VQ-GAN, and latent diffusion models. Yet, it suffers from the persistent problem of codebook collapse, where a large fraction of code vectors remains…

Computer Vision and Pattern Recognition · Computer Science 2026-02-24 Hao Lu , Onur C. Koyun , Yongxin Guo , Zhengjie Zhu , Abbas Alili , Metin Nafi Gurcan

Vector Quantization (VQ) is an appealing model compression method to obtain a tiny model with less accuracy loss. While methods to obtain better codebooks and codes under fixed clustering dimensionality have been extensively studied,…

Computer Vision and Pattern Recognition · Computer Science 2022-11-22 Zezhou Zhu , Yucong Zhou , Zhao Zhong

Vector Quantization (VQ) has emerged as a prominent weight compression technique, showcasing substantially lower quantization errors than uniform quantization across diverse models, particularly in extreme compression scenarios. However,…

Computer Vision and Pattern Recognition · Computer Science 2025-08-05 Shuaiting Li , Juncan Deng , Chenxuan Wang , Kedong Xu , Rongtao Deng , Hong Gu , Haibin Shen , Kejie Huang

Significant investments have been made towards the commodification of diffusion models for generation of diverse media. Their mass-market adoption is however still hobbled by the intense hardware resource requirements of diffusion model…

Machine Learning · Computer Science 2025-06-10 Adil Hasan , Thomas Peyrin

Recent neural compression methods have been based on the popular hyperprior framework. It relies on Scalar Quantization and offers a very strong compression performance. This contrasts from recent advances in image generation and…

Computer Vision and Pattern Recognition · Computer Science 2023-11-07 Alaaeldin El-Nouby , Matthew J. Muckley , Karen Ullrich , Ivan Laptev , Jakob Verbeek , Hervé Jégou

Learning discrete representations with vector quantization (VQ) has emerged as a powerful approach in various generative models. However, most VQ-based models rely on a single, fixed-rate codebook, requiring extensive retraining for new…

Machine Learning · Computer Science 2025-02-03 Jiwan Seo , Joonhyuk Kang

Vector quantization (VQ) is a prevalent and fundamental technique that discretizes continuous feature vectors by approximating them using a codebook. As the diversity and complexity of data and models continue to increase, there is an…

Computer Vision and Pattern Recognition · Computer Science 2026-01-05 Jie Li , Kwan-Yee K. Wong , Kai Han

Diffusion models excel in image generation but are computational and resource-intensive due to their reliance on iterative Markov chain processes, leading to error accumulation and limiting the effectiveness of naive compression techniques.…

Computer Vision and Pattern Recognition · Computer Science 2025-06-23 Beomseok Ko , Hyeryung Jang

The residual vector quantization (RVQ) technique plays a central role in recent advances in neural audio codecs. These models effectively synthesize high-fidelity audio from a limited number of codes due to the hierarchical structure among…

Audio and Speech Processing · Electrical Eng. & Systems 2025-09-24 Hyeongju Kim , Junhyeok Lee , Jacob Morton , Juheon Lee , Jinhyeok Yang

This paper describes an entropy regularization term for vector quantization (VQ) based on the analysis of persistent homology of the VQ embeddings. Higher embedding entropy positively correlates with higher codebook utilization, mitigating…

Machine Learning · Computer Science 2022-11-29 Ivan Volkov

The vector quantization is a widely used method to map continuous representation to discrete space and has important application in tokenization for generative mode, bottlenecking information and many other tasks in machine learning. Vector…

Machine Learning · Computer Science 2024-10-15 Mingyuan Yan , Jiawei Wu , Rushi Shah , Dianbo Liu
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