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Vector-Quantized Variational Autoencoders (VQ-VAE)[1] provide an unsupervised model for learning discrete representations by combining vector quantization and autoencoders. In this paper, we study the use of VQ-VAE for representation…

Image and Video Processing · Electrical Eng. & Systems 2019-03-05 Hanwei Wu , Markus Flierl

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

Classical supervised classification tasks search for a nonlinear mapping that maps each encoded feature directly to a probability mass over the labels. Such a learning framework typically lacks the intuition that encoded features from the…

Computer Vision and Pattern Recognition · Computer Science 2020-06-11 Cat P. Le , Yi Zhou , Jie Ding , Vahid Tarokh

In quantised autoencoders, images are usually split into local patches, each encoded by one token. This representation is redundant in the sense that the same number of tokens is spend per region, regardless of the visual information…

Computer Vision and Pattern Recognition · Computer Science 2024-08-06 Tim Elsner , Paula Usinger , Victor Czech , Gregor Kobsik , Yanjiang He , Isaak Lim , Leif Kobbelt

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

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

Gaussian Process (GP) regression is a popular and sample-efficient approach for many engineering applications, where observations are expensive to acquire, and is also a central ingredient of Bayesian optimization (BO), a highly prevailing…

Machine Learning · Statistics 2025-06-06 Sébastien Da Veiga

Vector quantization (VQ) is a technique to deterministically learn features with discrete codebook representations. It is commonly performed with a variational autoencoding model, VQ-VAE, which can be further extended to hierarchical…

Unifying multimodal understanding, generation and reconstruction representation in a single tokenizer remains a key challenge in building unified models. Previous research predominantly attempts to address this in a dual encoder paradigm,…

Computer Vision and Pattern Recognition · Computer Science 2025-12-01 Sinan Du , Jiahao Guo , Bo Li , Shuhao Cui , Zhengzhuo Xu , Yifu Luo , Yongxian Wei , Kun Gai , Xinggang Wang , Kai Wu , Chun Yuan

Built upon vector quantization (VQ), discrete audio codec models have achieved great success in audio compression and auto-regressive audio generation. However, existing models face substantial challenges in perceptual quality and signal…

Audio and Speech Processing · Electrical Eng. & Systems 2024-09-20 Zhikang Niu , Sanyuan Chen , Long Zhou , Ziyang Ma , Xie Chen , Shujie Liu

Stochastic sampling strategies are widely adopted in large language models (LLMs) to balance output coherence and diversity. These heuristics are often inherited in Multimodal LLMs (MLLMs) without task-specific justification. However, we…

Computation and Language · Computer Science 2026-04-28 Boqi Chen , Xudong Liu , Yunke Ao , Jianing Qiu

Posterior inference in directed graphical models is commonly done using a probabilistic encoder (a.k.a inference model) conditioned on the input. Often this inference model is trained jointly with the probabilistic decoder (a.k.a generator…

Machine Learning · Computer Science 2019-12-21 Amir Zadeh , Smon Hessner , Yao-Chong Lim , Louis-Phlippe Morency

Vector Quantized Variational Autoencoders (VQ-VAEs) leverage self-supervised learning through reconstruction tasks to represent continuous vectors using the closest vectors in a codebook. However, issues such as codebook collapse persist in…

Computer Vision and Pattern Recognition · Computer Science 2025-10-17 Hong-Kai Zheng , Piji Li

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

While stabilizer tableaus have proven exceptionally useful as a descriptive tool for additive quantum codes, they offer little guidance for concrete constructions or coding algorithm analysis. We introduce a representation of stabilizer…

Quantum Physics · Physics 2025-01-31 Andrey Boris Khesin

This paper studies fixed-rate randomized vector quantization under the constraint that the quantizer's output has a given fixed probability distribution. A general representation of randomized quantizers that includes the common models in…

Information Theory · Computer Science 2016-11-15 Naci Saldi , Tamás Linder , Serdar Yüksel

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

In this paper, we design and analyze distributed vector quantization (VQ) for compressed measurements of correlated sparse sources over noisy channels. Inspired by the framework of compressed sensing (CS) for acquiring compressed…

Information Theory · Computer Science 2015-07-28 Amirpasha Shirazinia , Saikat Chatterjee , Mikael Skoglund

Standard variational lower bounds used to train latent variable models produce biased estimates of most quantities of interest. We introduce an unbiased estimator of the log marginal likelihood and its gradients for latent variable models…

Machine Learning · Computer Science 2020-07-14 Yucen Luo , Alex Beatson , Mohammad Norouzi , Jun Zhu , David Duvenaud , Ryan P. Adams , Ricky T. Q. Chen

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