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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

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

Accurate and well-calibrated Machine Learning (ML) models are mandatory in high-stakes settings, yet effective multiclass calibration remains challenging: global approaches assume calibration errors are homogeneous across the latent space,…

Machine Learning · Computer Science 2026-05-21 Cesare Barbera , Lorenzo Perini , Giovanni De Toni , Andrea Passerini , Andrea Pugnana

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

Large Language Models (LLMs) face significant challenges in edge deployment due to their massive parameter scale. Vector Quantization (VQ), a clustering-based quantization method, serves as a prevalent solution to this issue for its…

Machine Learning · Computer Science 2025-06-27 Yuxuan Yue , Zukang Xu , Zhihang Yuan , Dawei Yang , Jianlong Wu , Liqiang Nie

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

Large Language Models (LLMs) have demonstrated remarkable capabilities but typically require extensive computational resources and memory for inference. Post-training quantization (PTQ) can effectively reduce these demands by storing…

Machine Learning · Computer Science 2026-01-27 Xi Zhang , Xiaolin Wu , Jiamang Wang , Weisi Lin

Randomized (dithered) quantization is a method capable of achieving white reconstruction error independent of the source. Dithered quantizers have traditionally been considered within their natural setting of uniform quantization. In this…

Information Theory · Computer Science 2017-04-26 Emrah Akyol , Kenneth Rose

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

Vector-quantized networks (VQNs) have exhibited remarkable performance across various tasks, yet they are prone to training instability, which complicates the training process due to the necessity for techniques such as subtle…

Computer Vision and Pattern Recognition · Computer Science 2024-12-20 Borui Zhang , Wenzhao Zheng , Jie Zhou , Jiwen Lu

Recent works on compression of large language models (LLM) using quantization considered reparameterizing the architecture such that weights are distributed on the sphere. This demonstratively improves the ability to quantize by increasing…

Machine Learning · Computer Science 2024-12-05 Tycho F. A. van der Ouderaa , Maximilian L. Croci , Agrin Hilmkil , James Hensman

In this paper a stochastic generalisation of the standard Linde-Buzo-Gray (LBG) approach to vector quantiser (VQ) design is presented, in which the encoder is implemented as the sampling of a vector of code indices from a probability…

Neural and Evolutionary Computing · Computer Science 2007-05-23 Stephen Luttrell

Powerful large language models (LLMs) are increasingly expected to be deployed with lower computational costs, enabling their capabilities on resource-constrained devices. Post-training quantization (PTQ) has emerged as a star approach to…

Machine Learning · Computer Science 2025-02-20 Yuzhuang Xu , Shiyu Ji , Qingfu Zhu , Wanxiang Che

Machine learning algorithms deployed on edge devices must meet certain resource constraints and efficiency requirements. Random Vector Functional Link (RVFL) networks are favored for such applications due to their simple design and training…

Machine Learning · Computer Science 2022-09-02 Cameron Diao , Denis Kleyko , Jan M. Rabaey , Bruno A. Olshausen

Large language models have shown exceptional capabilities in a wide range of tasks, such as text generation and video generation, among others. However, due to their massive parameter count, these models often require substantial storage…

Machine Learning · Computer Science 2024-10-18 Qian Tao , Wenyuan Yu , Jingren Zhou

We consider the problem of solving a distributed optimization problem using a distributed computing platform, where the communication in the network is limited: each node can only communicate with its neighbours and the channel has a…

Systems and Control · Computer Science 2015-04-10 Ye Pu , Melanie N. Zeilinger , Colin N. Jones

Vector quantization, a problem rooted in Shannon's source coding theory, aims to quantize high-dimensional Euclidean vectors while minimizing distortion in their geometric structure. We propose TurboQuant to address both mean-squared error…

Machine Learning · Computer Science 2025-04-29 Amir Zandieh , Majid Daliri , Majid Hadian , Vahab Mirrokni

A classification algorithm, called the Linear Centralization Classifier (LCC), is introduced. The algorithm seeks to find a transformation that best maps instances from the feature space to a space where they concentrate towards the center…

Machine Learning · Computer Science 2017-12-25 Mohammad Reza Bonyadi , Viktor Vegh , David C. Reutens

Although quantum computing holds promise for solving Combinatorial Optimization Problems (COPs), the limited qubit capacity of NISQ hardware makes large-scale instances intractable. Conventional methods attempt to bridge this gap through…

Quantum Physics · Physics 2026-01-21 Yuhan Huang , Siyuan Jin , Yichi Zhang , Qi Zhao , Jun Qi , Qiming Shao

Vectorization is a technique that replaces a set-valued optimization problem with a vector optimization problem. In this work, by using an extension of Gerstewitz function [1], a vectorizing function is defined to replace a given set-valued…

Optimization and Control · Mathematics 2017-06-09 Emrah Karaman , İlknur Atasever Güvenç , Mustafa Soyertem , Didem Tozkan , Mahide Küçük , Yalçın Küçük