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For autoregressive (AR) modeling of high-resolution images, vector quantization (VQ) represents an image as a sequence of discrete codes. A short sequence length is important for an AR model to reduce its computational costs to consider…

Computer Vision and Pattern Recognition · Computer Science 2022-03-10 Doyup Lee , Chiheon Kim , Saehoon Kim , Minsu Cho , Wook-Shin Han

Vector Quantization (VQ) is essential for discretizing continuous representations in unsupervised learning but suffers from representation collapse, causing low codebook utilization and limiting scalability. Existing solutions often rely on…

Machine Learning · Computer Science 2025-10-06 Yongxin Zhu , Bocheng Li , Yifei Xin , Zhihua Xia , Linli Xu

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

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

Efficiently encoding classical visual data into quantum states is essential for realizing practical quantum neural networks (QNNs). However, existing encoding schemes often discard spatial and semantic information when adapting…

Quantum Physics · Physics 2025-11-20 Yuhu Lu , Jinjing Shi

Generative models with discrete latent representations have recently demonstrated an impressive ability to learn complex high-dimensional data distributions. However, their performance relies on a long sequence of tokens per instance and a…

Machine Learning · Computer Science 2024-03-26 David D. Nguyen , David Leibowitz , Surya Nepal , Salil S. Kanhere

Learning deep discrete latent presentations offers a promise of better symbolic and summarized abstractions that are more useful to subsequent downstream tasks. Inspired by the seminal Vector Quantized Variational Auto-Encoder (VQ-VAE),…

Machine Learning · Computer Science 2023-06-21 Tung-Long Vuong , Trung Le , He Zhao , Chuanxia Zheng , Mehrtash Harandi , Jianfei Cai , Dinh Phung

The increasing efficiency and compactness of deep learning architectures, together with hardware improvements, have enabled the complex and high-dimensional modelling of medical volumetric data at higher resolutions. Recently,…

Image and Video Processing · Electrical Eng. & Systems 2020-02-14 Petru-Daniel Tudosiu , Thomas Varsavsky , Richard Shaw , Mark Graham , Parashkev Nachev , Sebastien Ourselin , Carole H. Sudre , M. Jorge Cardoso

In this paper we demonstrate methods for reliable and efficient training of discrete representation using Vector-Quantized Variational Auto-Encoder models (VQ-VAEs). Discrete latent variable models have been shown to learn nontrivial…

The dimensionality of the embedding and the number of available embeddings ( also called codebook size) are critical factors influencing the performance of Vector Quantization(VQ), a discretization process used in many models such as the…

Machine Learning · Computer Science 2024-07-09 Hang Chen , Sankepally Sainath Reddy , Ziwei Chen , Dianbo Liu

Uncovering emergent concepts across transformer layers remains a significant challenge because the residual stream linearly mixes and duplicates information, obscuring how features evolve within large language models. Current research…

Machine Learning · Computer Science 2025-07-18 Ankur Garg , Xuemin Yu , Hassan Sajjad , Samira Ebrahimi Kahou

Learning compact and meaningful latent space representations has been shown to be very useful in generative modeling tasks for visual data. One particular example is applying Vector Quantization (VQ) in variational autoencoders (VQ-VAEs,…

Machine Learning · Computer Science 2024-09-18 Xin Li , Anand Sarwate

VQ-VAE, as a mainstream approach of speech tokenizer, has been troubled by ``index collapse'', where only a small number of codewords are activated in large codebooks. This work proposes product-quantized (PQ) VAE with more codebooks but…

Sound · Computer Science 2024-06-06 Haohan Guo , Fenglong Xie , Dongchao Yang , Hui Lu , Xixin Wu , Helen Meng

Vector-quantized variational autoencoders (VQ-VAEs) are discrete autoencoders that compress images into discrete tokens. However, they are difficult to train due to discretization. In this paper, we propose a simple yet effective technique…

Machine Learning · Computer Science 2026-05-27 Tongda Xu , Wendi Zheng , Jiajun He , Jose Miguel Hernandez-Lobato , Yan Wang , Ya-Qin Zhang , Jie Tang

Compressing large language models (LLMs) for deployment on commodity GPUs remains challenging: conventional scalar quantization is limited to fixed bit-widths (e.g., 8/4/3-bit), offers only a few discrete compression points, and typically…

Machine Learning · Computer Science 2026-05-07 Ye Qiao , Yian Wang , Zhiheng Chen , Hyoukjun Kwon , Sitao Huang

In this paper, I present VQ-DRAW, an algorithm for learning compact discrete representations of data. VQ-DRAW leverages a vector quantization effect to adapt the sequential generation scheme of DRAW to discrete latent variables. I show that…

Machine Learning · Computer Science 2020-03-04 Alex Nichol

Vector quantization(VQ) is a hardware-friendly DNN compression method that can reduce the storage cost and weight-loading datawidth of hardware accelerators. However, conventional VQ techniques lead to significant accuracy loss because the…

Computer Vision and Pattern Recognition · Computer Science 2024-12-17 Shuaiting Li , Chengxuan Wang , Juncan Deng , Zeyu Wang , Zewen Ye , Zongsheng Wang , Haibin Shen , Kejie Huang

Existing vector quantization (VQ) methods struggle with scalability, largely attributed to the instability of the codebook that undergoes partial updates during training. The codebook is prone to collapse as utilization decreases, due to…

Computer Vision and Pattern Recognition · Computer Science 2025-03-11 Fengyuan Shi , Zhuoyan Luo , Yixiao Ge , Yujiu Yang , Ying Shan , Limin Wang

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

Variational Quantum Circuits (VQC) are promising models for quantum machine learning, but standard monolithic architectures face an expressivity--trainability dilemma: small circuits can be under-parameterized, while larger circuits are…

Quantum Physics · Physics 2026-05-12 Howard Su , Chen-Yu Liu , Samuel Yen-Chi Chen , Kuan-Cheng Chen , Huan-Hsin Tseng