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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

Vector Quantized Variational Autoencoders (VQ-VAEs) are fundamental models that compress continuous visual data into discrete tokens. Existing methods have tried to improve the quantization strategy for better reconstruction quality,…

Computer Vision and Pattern Recognition · Computer Science 2025-07-15 Mingkai Jia , Wei Yin , Xiaotao Hu , Jiaxin Guo , Xiaoyang Guo , Qian Zhang , Xiao-Xiao Long , Ping Tan

Large Language Models (LLMs) are increasingly used in applications requiring long context lengths, but the key-value (KV) cache often becomes a memory bottleneck on GPUs as context grows. To address this, we propose Commutative Vector…

Recent advances in generative image compression (GIC) have delivered remarkable improvements in perceptual quality. However, many GICs rely on large-scale and rigid models, which severely constrain their utility for flexible transmission…

Computer Vision and Pattern Recognition · Computer Science 2026-05-25 Hao Cao , Chengbin Liang , Wenqi Guo , Zhijin Qin , Jungong Han

Powerful large language models (LLMs) are increasingly expected to be deployed with lower computational costs, enabling their capabilities on resource-constrained devices. Post-training quantization (PTQ) has emerged as a star approach to…

Machine Learning · Computer Science 2025-02-20 Yuzhuang Xu , Shiyu Ji , Qingfu Zhu , Wanxiang Che

The rapid scaling of Large Language Models (LLMs) elevates inference costs and compounds substantial deployment barriers. While quantization to 8 or 4 bits mitigates this, sub-3-bit methods face severe accuracy, scalability, and efficiency…

Image compression under ultra-low bitrates remains challenging for both conventional learned image compression (LIC) and generative vector-quantized (VQ) modeling. Conventional LIC suffers from severe artifacts due to heavy quantization,…

Computer Vision and Pattern Recognition · Computer Science 2025-11-24 Lei Lu , Yize Li , Yanzhi Wang , Wei Wang , Wei Jiang

Large language models~(LLMs) have recently demonstrated promising performance in many tasks. However, the high storage and computational cost of LLMs has become a challenge for deploying LLMs. Weight quantization has been widely used for…

Machine Learning · Computer Science 2025-02-11 Wen-Pu Cai , Ming-Yang Li , Wu-Jun Li

Vector quantization is common in deep models, yet its hard assignments block gradients and hinder end-to-end training. We propose DiVeQ, which treats quantization as adding an error vector that mimics the quantization distortion, keeping…

Machine Learning · Computer Science 2026-05-27 Mohammad Hassan Vali , Tom Bäckström , Arno Solin

Discrete image tokenization is a key bottleneck for scalable visual generation: a tokenizer must remain compact for efficient latent-space priors while preserving semantic structure and using discrete capacity effectively. Existing…

Computer Vision and Pattern Recognition · Computer Science 2026-02-23 Idil Bilge Altun , Mert Onur Cakiroglu , Elham Buxton , Mehmet Dalkilic , Hasan Kurban

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

Scalar quantization of large language models (LLMs) is fundamentally limited by information-theoretic bounds. While vector quantization (VQ) overcomes these limits by encoding blocks of parameters jointly, practical implementations must…

Machine Learning · Computer Science 2026-03-12 Tycho F. A. van der Ouderaa , Mart van Baalen , Paul Whatmough , Markus Nagel

Mixture of Experts (MoE) models have achieved great success by significantly improving performance while maintaining computational efficiency through sparse expert activation. However, their enormous parameter sizes and memory demands pose…

Machine Learning · Computer Science 2026-02-25 Zukang Xu , Zhixiong Zhao , Xing Hu , Zhixuan Chen , Dawei Yang

Recently, Information Retrieval community has witnessed fast-paced advances in Dense Retrieval (DR), which performs first-stage retrieval with embedding-based search. Despite the impressive ranking performance, previous studies usually…

Information Retrieval · Computer Science 2021-08-24 Jingtao Zhan , Jiaxin Mao , Yiqun Liu , Jiafeng Guo , Min Zhang , Shaoping Ma

Quantization has been proven to be an effective method for reducing the computing and/or storage cost of DNNs. However, the trade-off between the quantization bitwidth and final accuracy is complex and non-convex, which makes it difficult…

Computer Vision and Pattern Recognition · Computer Science 2020-06-11 Cheng Gong , Yao Chen , Ye Lu , Tao Li , Cong Hao , Deming Chen

This paper shows how to reduce the computational cost for a variety of common machine vision tasks by operating directly in the compressed domain, particularly in the context of hardware acceleration. Pyramid Vector Quantization (PVQ) is…

Computer Vision and Pattern Recognition · Computer Science 2016-03-31 Vincenzo Liguori

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

A learning-based framework for representation of domain-specific images is proposed where joint compression and denoising can be done using a VQ-based multi-layer network. While it learns to compress the images from a training set, the…

Computer Vision and Pattern Recognition · Computer Science 2017-07-10 Sohrab Ferdowsi , Slava Voloshynovskiy , Dimche Kostadinov

Continuous representation of words is a standard component in deep learning-based NLP models. However, representing a large vocabulary requires significant memory, which can cause problems, particularly on resource-constrained platforms.…

Computation and Language · Computer Science 2020-01-24 Siyu Liao , Jie Chen , Yanzhi Wang , Qinru Qiu , Bo Yuan

Hashing methods, which encode high-dimensional images with compact discrete codes, have been widely applied to enhance large-scale image retrieval. In this paper, we put forward Deep Spherical Quantization (DSQ), a novel method to make deep…

Computer Vision and Pattern Recognition · Computer Science 2019-06-10 Sepehr Eghbali , Ladan Tahvildari