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For linearly constrained least-squares problems that depend on a vector of parameters, this paper proposes techniques for reducing the number of involved optimization variables. After first eliminating equality constraints in a numerically…

Optimization and Control · Mathematics 2020-12-21 Alberto Bemporad , Gionata Cimini

Vision-Language Models (VLMs) achieve outstanding performance, yet their huge model size severely hinders deployment on edge devices with limited resources. As an efficient model compression technique, vector quantization (VQ) excels in…

Computer Vision and Pattern Recognition · Computer Science 2026-05-26 Zhong Wang , Zukang Xu , Xing Hu , Dawei Yang

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

Recently, numerous end-to-end optimized image compression neural networks have been developed and proved themselves as leaders in rate-distortion performance. The main strength of these learnt compression methods is in powerful nonlinear…

Image and Video Processing · Electrical Eng. & Systems 2023-04-26 Xi Zhang , Xiaolin Wu

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

Correlation Clustering is a powerful graph partitioning model that aims to cluster items based on the notion of similarity between items. An instance of the Correlation Clustering problem consists of a graph $G$ (not necessarily complete)…

Data Structures and Algorithms · Computer Science 2019-06-25 Sanchit Kalhan , Konstantin Makarychev , Timothy Zhou

Vision Language Models (VLMs) are central to Visual Question Answering (VQA) systems and are typically deployed in the cloud due to their high computational demands. However, this cloud-only approach underutilizes edge computational…

Computer Vision and Pattern Recognition · Computer Science 2026-04-08 Xiao Liu , Lijun Zhang , Deepak Ganesan , Hui Guan

Quantization can be used to form new vectors/matrices with shared values close to the original. In recent years, the popularity of scalar quantization for value-sharing applications has been soaring as it has been found huge utilities in…

Machine Learning · Computer Science 2019-12-11 Chen Wang , Xiaomei Yang , Shaomin Fei , Kai Zhou , Xiaofeng Gong , Miao Du , Ruisen Luo

Accumulation of corporate data in the cloud has attracted more enterprise applications to the cloud creating data gravity. As a consequence, network traffic has become more cloud centric. This increase in cloud centric traffic poses new…

Machine Learning · Computer Science 2022-10-05 Mujahid Sultan

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 Quantization, VQ is a popular image compression technique with a simple decoding architecture and high compression ratio. Codebook designing is the most essential part in Vector Quantization. LindeBuzoGray, LBG is a traditional…

Computer Vision and Pattern Recognition · Computer Science 2017-10-17 Sayan Nag

This paper studies vector quantile regression (VQR), which is a way to model the dependence of a random vector of interest with respect to a vector of explanatory variables so to capture the whole conditional distribution, and not only the…

Optimization and Control · Mathematics 2016-10-24 Guillaume Carlier , Victor Chernozhukov , Alfred Galichon

We address the problem of indirect quantization of a source subject to a mean-squared error distortion constraint. A well-known result of Wolf and Ziv is that the problem can be reduced to a standard (direct) quantization problem via a…

Information Theory · Computer Science 2024-09-16 Ariel Doubchak , Tal Philosof , Uri Erez , Amit Berman

This paper shows how to reduce the computational cost for a variety of common machine vision tasks by operating directly in the compressed domain, particularly in the context of hardware acceleration. Pyramid Vector Quantization (PVQ) is…

Computer Vision and Pattern Recognition · Computer Science 2016-03-31 Vincenzo Liguori

In many quantization problems, the distortion function is given by the Euclidean metric to measure the distance of a source sample to any given reproduction point of the quantizer. We will in this work regard distortion functions, which are…

Information Theory · Computer Science 2018-11-07 Jun Guo , Philipp Walk , Hamid Jafarkhani

We consider the task of lossy compression of high-dimensional vectors through quantization. We propose the approach that learns quantization parameters by minimizing the distortion of scalar products and squared distances between pairs of…

Computer Vision and Pattern Recognition · Computer Science 2016-06-07 Artem Babenko , Relja Arandjelović , Victor Lempitsky

Computer Vision (CV) labelling algorithms play a pivotal role in the domain of low-level vision. For decades, it has been known that these problems can be elegantly formulated as discrete energy minimization problems derived from…

Quantum Physics · Physics 2023-12-21 Shahrokh Heidari , Michael J. Dinneen , Patrice Delmas

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

We present Channel-wise Vector Quantization (CVQ), a novel image tokenization paradigm that replaces patch-wise tokens with channel-wise tokens. Unlike conventional vector quantization, which assigns a discrete token to each patch feature…

Computer Vision and Pattern Recognition · Computer Science 2026-05-26 Wei Song , Tianhang Wang , Yitong Chen , Tong Zhang , Zuxuan Wu , Ming Li , Jiaqi Wang , Kaicheng Yu

In this work we show that the size versus accuracy trade-off of neural network quantization can be significantly improved by increasing the quantization dimensionality. We propose the GPTVQ method, a new fast method for post-training vector…