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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

Autoencoders and their variations provide unsupervised models for learning low-dimensional representations for downstream tasks. Without proper regularization, autoencoder models are susceptible to the overfitting problem and the so-called…

Machine Learning · Computer Science 2020-01-23 Hanwei Wu , Markus Flierl

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…

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

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

The success of models operating on tokenized data has heightened the need for effective tokenization methods, particularly in vision and auditory tasks where inputs are naturally continuous. A common solution is to employ Vector…

Image and Video Processing · Electrical Eng. & Systems 2025-04-08 Nabarun Goswami , Yusuke Mukuta , Tatsuya Harada

The density matrix is a positive semidefinite operator of trace 1 characterizing the state of a quantum system. We consider the inverse problem to reconstruct such density matrices from indirect measurements, also known as quantum state…

Numerical Analysis · Mathematics 2026-03-06 Florian Oberender , Thorsten Hohage

Vector Quantized Variational AutoEncoders (VQ-VAEs) are designed to compress a continuous input to a discrete latent space and reconstruct it with minimal distortion. They operate by maintaining a set of vectors -- often referred to as the…

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

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

Embedding vectors are widely used for representing unstructured data and searching through it for semantically similar items. However, the large size of these vectors, due to their high-dimensionality, creates problems for modern vector…

Machine Learning · Computer Science 2025-09-24 Mariano Tepper , Ted Willke

Vector-quantized variational autoencoders (VQ-VAEs) are central to models that rely on high reconstruction fidelity, from neural compression to generative pipelines. Hierarchical extensions, such as VQ-VAE2, are often credited with superior…

Computer Vision and Pattern Recognition · Computer Science 2026-03-20 Shirin Reyhanian , Laurenz Wiskott

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

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

The rapid growth of visual data under stringent storage and bandwidth constraints makes extremely low-bitrate image compression increasingly important. While Vector Quantization (VQ) offers strong structural fidelity, existing methods lack…

Computer Vision and Pattern Recognition · Computer Science 2026-05-05 Shiyin Jiang , Wei Long , Minghao Han , Zhenghao Chen , Ce Zhu , Shuhang Gu

Graph self-supervised learning has gained significant attention recently. However, many existing approaches heavily depend on perturbations, and inappropriate perturbations may corrupt the graph's inherent information. The Vector Quantized…

Machine Learning · Computer Science 2025-04-18 Long Zeng , Jianxiang Yu , Jiapeng Zhu , Qingsong Zhong , Xiang Li

Word embedding, a high-dimensional (HD) numerical representation of words generated by machine learning models, has been used for different natural language processing tasks, e.g., translation between two languages. Recently, there has been…

Human-Computer Interaction · Computer Science 2024-03-26 Haoyu Li , Junpeng Wang , Yan Zheng , Liang Wang , Wei Zhang , Han-Wei Shen

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

In this paper we introduce learnable lattice vector quantization and demonstrate its effectiveness for learning discrete representations. Our method, termed LL-VQ-VAE, replaces the vector quantization layer in VQ-VAE with lattice-based…

Machine Learning · Computer Science 2023-10-17 Ahmed Khalil , Robert Piechocki , Raul Santos-Rodriguez

Vector quantization(VQ) is a lossy data compression technique from signal processing, which is restricted to feature vectors and therefore inapplicable for combinatorial structures. This contribution presents a theoretical foundation of…

Artificial Intelligence · Computer Science 2010-01-07 Brijnesh J. Jain , Klaus Obermayer
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