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This work examines the challenges of training neural networks using vector quantization using straight-through estimation. We find that a primary cause of training instability is the discrepancy between the model embedding and the…

Machine Learning · Computer Science 2023-05-16 Minyoung Huh , Brian Cheung , Pulkit Agrawal , Phillip Isola

Vector quantization is a technique in machine learning that discretizes continuous representations into a set of discrete vectors. It is widely employed in tokenizing data representations for large language models, diffusion models, and…

Machine Learning · Computer Science 2026-03-19 Wenhao Zhao , Qiran Zou , Rushi Shah , Yudi Wu , Zhouhan Lin , Dianbo Liu

Quantizing images into discrete representations has been a fundamental problem in unified generative modeling. Predominant approaches learn the discrete representation either in a deterministic manner by selecting the best-matching token or…

Computer Vision and Pattern Recognition · Computer Science 2023-10-17 Jiahui Zhang , Fangneng Zhan , Christian Theobalt , Shijian Lu

Vector quantization, which discretizes a continuous vector space into a finite set of representative vectors (a codebook), has been widely adopted in modern machine learning. Despite its effectiveness, vector quantization poses a…

Machine Learning · Computer Science 2026-01-30 Takashi Morita

Vector quantization is a technique in machine learning that discretizes continuous representations into a set of discrete vectors. It is widely employed in tokenizing data representations for large language models, diffusion models, and…

Machine Learning · Computer Science 2024-11-26 Wenhao Zhao , Qiran Zou , Rushi Shah , Dianbo Liu

In this paper, we address the classification of instances each characterized not by a singular point, but by a distribution on a vector space. We employ the Wasserstein metric to measure distances between distributions, which are then used…

Machine Learning · Statistics 2024-05-27 Jia Li , Lin Lin

Deep metric learning employs deep neural networks to embed instances into a metric space such that distances between instances of the same class are small and distances between instances from different classes are large. In most existing…

Machine Learning · Computer Science 2019-12-05 Ahmed Abdelwahab , Niels Landwehr

One approach to matching texts from asymmetrical domains is projecting the input sequences into a common semantic space as feature vectors upon which the matching function can be readily defined and learned. In real-world matching…

Computation and Language · Computer Science 2020-10-20 Weijie Yu , Chen Xu , Jun Xu , Liang Pang , Xiaopeng Gao , Xiaozhao Wang , Ji-Rong Wen

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

Computer vision systems that are deployed in safety-critical applications need to quantify their output uncertainty. We study regression from images to parameter values and here it is common to detect uncertainty by predicting probability…

Machine Learning · Computer Science 2024-06-24 Ziliang Xiong , Arvi Jonnarth , Abdelrahman Eldesokey , Joakim Johnander , Bastian Wandt , Per-Erik Forssen

Despite of its importance for safe machine learning, uncertainty quantification for neural networks is far from being solved. State-of-the-art approaches to estimate neural uncertainties are often hybrid, combining parametric models with…

Machine Learning · Computer Science 2021-12-03 Joachim Sicking , Maram Akila , Maximilian Pintz , Tim Wirtz , Asja Fischer , Stefan Wrobel

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) transforms continuous image features into discrete representations, providing compressed, tokenized inputs for generative models. However, VQ-based frameworks suffer from several issues, such as non-smooth latent…

Computer Vision and Pattern Recognition · Computer Science 2025-11-11 Sicheng Yang , Xing Hu , Qiang Wu , Dawei Yang

Accurate and well-calibrated Machine Learning (ML) models are mandatory in high-stakes settings, yet effective multiclass calibration remains challenging: global approaches assume calibration errors are homogeneous across the latent space,…

Machine Learning · Computer Science 2026-05-21 Cesare Barbera , Lorenzo Perini , Giovanni De Toni , Andrea Passerini , Andrea Pugnana

Vector Quantization (VQ) is a method for discretizing latent representations and has become a major part of the deep learning toolkit. It has been theoretically and empirically shown that discretization of representations leads to improved…

Machine Learning · Computer Science 2022-02-04 Dianbo Liu , Alex Lamb , Xu Ji , Pascal Notsawo , Mike Mozer , Yoshua Bengio , Kenji Kawaguchi

Vector Quantisation (VQ) is experiencing a comeback in machine learning, where it is increasingly used in representation learning. However, optimizing the codevectors in existing VQ-VAE is not entirely trivial. A problem is codebook…

Computer Vision and Pattern Recognition · Computer Science 2023-07-31 Chuanxia Zheng , Andrea Vedaldi

The reliability of segmentation models in the medical domain depends on the model's robustness to perturbations in the input space. Robustness is a particular challenge in medical imaging exhibiting various sources of image noise,…

Image and Video Processing · Electrical Eng. & Systems 2022-07-06 Ainkaran Santhirasekaram , Avinash Kori , Mathias Winkler , Andrea Rockall , Ben Glocker

This paper considers the problem of regression over distributions, which is becoming increasingly important in machine learning. Existing approaches often ignore the geometry of the probability space or are computationally expensive. To…

Machine Learning · Computer Science 2025-10-31 Maksim Maslov , Alexander Kugaevskikh , Matthew Ivanov

Topological Data Analysis methods can be useful for classification and clustering tasks in many different fields as they can provide two dimensional persistence diagrams that summarize important information about the shape of potentially…

Quantum Physics · Physics 2024-09-02 Bernardo Ameneyro , Rebekah Herrman , George Siopsis , Vasileios Maroulas

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
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