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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

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

Existing vector quantization (VQ) based autoregressive models follow a two-stage generation paradigm that first learns a codebook to encode images as discrete codes, and then completes generation based on the learned codebook. However, they…

Computer Vision and Pattern Recognition · Computer Science 2023-05-22 Mengqi Huang , Zhendong Mao , Zhuowei Chen , Yongdong Zhang

Given an incomplete image without additional constraint, image inpainting natively allows for multiple solutions as long as they appear plausible. Recently, multiplesolution inpainting methods have been proposed and shown the potential of…

Computer Vision and Pattern Recognition · Computer Science 2021-03-19 Jialun Peng , Dong Liu , Songcen Xu , Houqiang Li

Successfully training Variational Autoencoders (VAEs) with a hierarchy of discrete latent variables remains an area of active research. Vector-Quantised VAEs are a powerful approach to discrete VAEs, but naive hierarchical extensions can be…

Machine Learning · Statistics 2021-02-05 Matthew Willetts , Xenia Miscouridou , Stephen Roberts , Chris Holmes

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 quantization (VQ) is a key technique in high-resolution and high-fidelity image synthesis, which aims to learn a codebook to encode an image with a sequence of discrete codes and then generate an image in an auto-regression manner.…

Computer Vision and Pattern Recognition · Computer Science 2024-10-10 Guotao Liang , Baoquan Zhang , Yaowei Wang , Xutao Li , Yunming Ye , Huaibin Wang , Chuyao Luo , Kola Ye , linfeng Luo

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

The Variational Autoencoder (VAE) has proven to be an effective model for producing semantically meaningful latent representations for natural data. However, it has thus far seen limited application to sequential data, and, as we…

Machine Learning · Computer Science 2019-11-12 Adam Roberts , Jesse Engel , Colin Raffel , Curtis Hawthorne , Douglas Eck

We consider hierarchically implemented quantum error correction (HI-QEC), in which the fidelities of logical qubits are differentially optimized to enhance the capabilities of quantum devices in scientific applications. By employing qubit…

Quantum Physics · Physics 2022-01-05 Natalie Klco , Martin J. Savage

The de novo design of drug molecules is recognized as a time-consuming and costly process, and computational approaches have been applied in each stage of the drug discovery pipeline. Variational autoencoder is one of the computer-aided…

Quantum Physics · Physics 2021-12-24 Junde Li , Swaroop Ghosh

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

Existing autoregressive models follow the two-stage generation paradigm that first learns a codebook in the latent space for image reconstruction and then completes the image generation autoregressively based on the learned codebook.…

Computer Vision and Pattern Recognition · Computer Science 2023-05-24 Mengqi Huang , Zhendong Mao , Quan Wang , Yongdong Zhang

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…

While many approaches to improve VQ-VAE performance focus on codebook size and utilization, the effect of dimensional collapse, where trained VQ-VAE representations live in an extremely low-dimensional subspace (1-2% of full rank), remains…

Machine Learning · Computer Science 2026-05-13 Xinyu Zhao , Nikita Karagodin , Hamed Hassani , Sinan Hersek , Paul Pu Liang , Yury Polyanskiy

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

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

Variational Autoencoders (VAEs) have experienced recent success as data-generating models by using simple architectures that do not require significant fine-tuning of hyperparameters. However, VAEs are known to suffer from…

Machine Learning · Statistics 2020-07-22 Wei Cheng , Gregory Darnell , Sohini Ramachandran , Lorin Crawford

Neural audio codecs discretize speech via residual vector quantization (RVQ), forming a coarse-to-fine hierarchy across quantizers. While codec models have been explored for representation learning, their discrete structure remains…

Sound · Computer Science 2026-03-19 Jinyang Wu , Zihan Pan , Qiquan Zhang , Sailor Hardik Bhupendra , Soumik Mondal

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