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Vector Quantization (VQ) has become the cornerstone of tokenization for many multimodal Large Language Models and diffusion synthesis. However, existing VQ paradigms suffer from a fundamental conflict: they enforce discretization before the…

Machine Learning · Computer Science 2026-03-25 Wenhao Zhao , Qiran Zou , Zhouhan Lin , Dianbo Liu

Variational quantum compiling (VQC) algorithms aim to approximate deep quantum circuits with shallow parameterized ansatzes, making them more suitable for NISQ hardware. In this article a variant of VQC named the recursive variational…

Quantum Physics · Physics 2025-03-12 Stian Bilek , Kristian Wold

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…

A variational framework for structural topology optimization is developed, integrating quantum and classical latent encoding strategies within a coordinate-based neural decoding architecture. In this approach, a low-dimensional latent…

Computational Engineering, Finance, and Science · Computer Science 2025-06-24 Alireza Tabarraei

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) is a method for deterministically learning features through discrete codebook representations. Recent works have utilized visual tokenizers to discretize visual regions for self-supervised representation learning.…

Computer Vision and Pattern Recognition · Computer Science 2024-09-11 Chenjing Ding , Chiyu Wang , Boshi Liu , Xi Guo , Weixuan Tang , Wei Wu

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

Traditional post-training quantization (PTQ) is considered an effective approach to reduce model size and accelerate inference of large-scale language models (LLMs). However, existing low-rank PTQ methods require costly fine-tuning to…

Machine Learning · Computer Science 2026-01-12 Hongyaoxing Gul , Lijuan Hu , Shuzi Niu , Fangfang Liu

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

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

Recent days have witnessed significant interests in applying quantum-enhanced techniques for solving a variety of machine learning tasks. Variational methods that use quantum resources of imperfect quantum devices with the help of classical…

Quantum Physics · Physics 2021-11-15 Hiroshi Yano , Yudai Suzuki , Kohei M. Itoh , Rudy Raymond , Naoki Yamamoto

Deep Learning models encode rich semantic information in their hidden representations. However, it remains challenging to understand which parts of this information models actually rely on when making predictions. A promising line of…

Machine Learning · Computer Science 2026-02-04 Xuemin Yu , Ankur Garg , Samira Ebrahimi Kahou , Hassan Sajjad

Quantization methods have been introduced to perform large scale approximate nearest search tasks. Residual Vector Quantization (RVQ) is one of the effective quantization methods. RVQ uses a multi-stage codebook learning scheme to lower the…

Computer Vision and Pattern Recognition · Computer Science 2015-09-18 Shicong Liu , Hongtao Lu , Junru Shao

In recent years, large language models have achieved significant success in generative tasks related to speech, audio, music, and other signal domains. A crucial element of these models is the discrete acoustic codecs, which serve as an…

Audio and Speech Processing · Electrical Eng. & Systems 2025-06-05 Shengpeng Ji , Minghui Fang , Jialong Zuo , Ziyue Jiang , Dingdong Wang , Hanting Wang , Hai Huang , Zhou Zhao

Visual tokenizers are fundamental to image generation. They convert visual data into discrete tokens, enabling transformer-based models to excel at image generation. Despite their success, VQ-based tokenizers like VQGAN face significant…

Computer Vision and Pattern Recognition · Computer Science 2024-11-28 Zechen Bai , Jianxiong Gao , Ziteng Gao , Pichao Wang , Zheng Zhang , Tong He , Mike Zheng Shou

Parameter quantization for Large Language Models (LLMs) has attracted increasing attentions recently in reducing memory costs and improving computational efficiency. Early approaches have been widely adopted. However, the existing methods…

Machine Learning · Computer Science 2024-06-04 Haoyu Wang , Bei Liu , Hang Shao , Bo Xiao , Ke Zeng , Guanglu Wan , Yanmin Qian

The Key-Value (KV) cache introduces substantial memory overhead during large language model (LLM) inference. Although existing vector quantization (VQ) methods reduce KV cache usage and provide flexible representational capacity across…

Computation and Language · Computer Science 2025-10-08 Dingyu Yao , Chenxu Yang , Zhengyang Tong , Zheng Lin , Wei Liu , Jian Luan , Weiping Wang

Large Language Models (LLMs) have achieved impressive performance across diverse domains but remain inefficient during the autoregressive decoding phase. Unlike the prefill stage, which employs compute-bound GEMM operations, decoding…

Hardware Architecture · Computer Science 2026-05-26 Bowen Duan , Cong Guo , Chiyue Wei , Haoxuan Shan , Yuzhe Fu , Xinhua Chen , Yifan Xu , Ziyue Zhang , Changchun Zhou , Hai Li , Yiran Chen

Recent text-to-image diffusion models have reached an unprecedented level in generating high-quality images. However, their exclusive reliance on textual prompts often falls short in precise control of image compositions. In this paper, we…

Computer Vision and Pattern Recognition · Computer Science 2024-03-27 Peiang Zhao , Han Li , Ruiyang Jin , S. Kevin Zhou

This paper introduces Least Volume (LV)--a simple yet effective regularization method inspired by geometric intuition--that reduces the number of latent dimensions required by an autoencoder without prior knowledge of the dataset's…

Machine Learning · Computer Science 2025-09-26 Qiuyi Chen , Cashen Diniz , Mark Fuge