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Variation Autoencoder (VAE) has become a powerful tool in modeling the non-linear generative process of data from a low-dimensional latent space. Recently, several studies have proposed to use VAE for unsupervised clustering by using…

Machine Learning · Computer Science 2021-06-29 Qingyu Zhao , Nicolas Honnorat , Ehsan Adeli , Kilian M. Pohl

Variational autoencoders (VAE) are a powerful and widely-used class of models to learn complex data distributions in an unsupervised fashion. One important limitation of VAEs is the prior assumption that latent sample representations are…

Machine Learning · Computer Science 2018-11-27 Francesco Paolo Casale , Adrian V Dalca , Luca Saglietti , Jennifer Listgarten , Nicolo Fusi

In this work we study Variational Autoencoders (VAEs) from the perspective of harmonic analysis. By viewing a VAE's latent space as a Gaussian Space, a variety of measure space, we derive a series of results that show that the encoder…

Machine Learning · Statistics 2022-04-26 Alexander Camuto , Matthew Willetts

This paper addresses the problem of lossy image compression, a fundamental problem in image processing and information theory that is involved in many real-world applications. We start by reviewing the framework of variational autoencoders…

Image and Video Processing · Electrical Eng. & Systems 2023-12-06 Zhihao Duan , Ming Lu , Jack Ma , Yuning Huang , Zhan Ma , Fengqing Zhu

Variational auto-encoders (VAEs) are deep generative latent variable models that can be used for learning the distribution of complex data. VAEs have been successfully used to learn a probabilistic prior over speech signals, which is then…

Sound · Computer Science 2020-12-18 Mostafa Sadeghi , Simon Leglaive , Xavier Alameda-PIneda , Laurent Girin , Radu Horaud

Density estimation, compression and data generation are crucial tasks in artificial intelligence. Variational Auto-Encoders (VAEs) constitute a single framework to achieve these goals. Here, we present a novel class of generative models,…

Machine Learning · Statistics 2021-07-07 Ioannis Gatopoulos , Jakub M. Tomczak

Encoding videos into discrete tokens could align with text tokens to facilitate concise and unified multi-modal LLMs, yet introducing significant spatiotemporal compression compared to continuous video representation. Previous discrete…

Computer Vision and Pattern Recognition · Computer Science 2025-08-14 Yupeng Zhou , Zhen Li , Ziheng Ouyang , Yuming Chen , Ruoyi Du , Daquan Zhou , Bin Fu , Yihao Liu , Peng Gao , Ming-Ming Cheng , Qibin Hou

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

Current state-of-the-art generative approaches frequently rely on a two-stage training procedure, where an autoencoder (often a VAE) first performs dimensionality reduction, followed by training a generative model on the learned latent…

Machine Learning · Statistics 2025-07-15 Gianluigi Silvestri , Luca Ambrogioni

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

The image tokenizer is a critical component in AR image generation, as it determines how rich and structured visual content is encoded into compact representations. Existing quantization-based tokenizers such as VQ-GAN primarily focus on…

Computer Vision and Pattern Recognition · Computer Science 2025-08-21 Yiang Shi , Xiaoyang Guo , Wei Yin , Mingkai Jia , Qian Zhang , Xiaolin Hu , Wenyu Liu , Xinggang Wang

In recent years, the task of video prediction-forecasting future video given past video frames-has attracted attention in the research community. In this paper we propose a novel approach to this problem with Vector Quantized Variational…

Computer Vision and Pattern Recognition · Computer Science 2021-03-03 Jacob Walker , Ali Razavi , Aäron van den Oord

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

We propose to replace vector quantization (VQ) in the latent representation of VQ-VAEs with a simple scheme termed finite scalar quantization (FSQ), where we project the VAE representation down to a few dimensions (typically less than 10).…

Computer Vision and Pattern Recognition · Computer Science 2023-10-13 Fabian Mentzer , David Minnen , Eirikur Agustsson , Michael Tschannen

Vector Quantized Variational Autoencoder (VQ-VAE) has become a fundamental framework for learning discrete representations in image modeling. However, VQ-VAE models must tokenize entire images using a finite set of codebook vectors, and…

Computer Vision and Pattern Recognition · Computer Science 2026-05-28 Jaeyung Kim , YoungJoon Yoo

We propose an algorithm, guided variational autoencoder (Guided-VAE), that is able to learn a controllable generative model by performing latent representation disentanglement learning. The learning objective is achieved by providing…

Computer Vision and Pattern Recognition · Computer Science 2020-04-06 Zheng Ding , Yifan Xu , Weijian Xu , Gaurav Parmar , Yang Yang , Max Welling , Zhuowen Tu

Variational Quantum Eigensolvers (VQEs) are a powerful class of hybrid quantum-classical algorithms designed to approximate the ground state of a quantum system described by its Hamiltonian. VQEs hold promise for various applications,…

Quantum Physics · Physics 2025-02-04 Kim A. Nicoli , Luca J. Wagner , Lena Funcke

Variational Autoencoder (VAE) aims to compress pixel data into low-dimensional latent space, playing an important role in OpenAI's Sora and other latent video diffusion generation models. While most of existing video VAEs inflate a…

Computer Vision and Pattern Recognition · Computer Science 2024-11-12 Pingyu Wu , Kai Zhu , Yu Liu , Liming Zhao , Wei Zhai , Yang Cao , Zheng-Jun Zha

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

Vector Quantized Variational AutoEncoders (VQ-VAE) are a powerful representation learning framework that can discover discrete groups of features from a speech signal without supervision. Until now, the VQ-VAE architecture has previously…

Audio and Speech Processing · Electrical Eng. & Systems 2020-05-19 Yi Zhao , Haoyu Li , Cheng-I Lai , Jennifer Williams , Erica Cooper , Junichi Yamagishi