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Vector Quantized Variational Autoencoders (VQ-VAEs) are fundamental models that compress continuous visual data into discrete tokens. Existing methods have tried to improve the quantization strategy for better reconstruction quality,…

Computer Vision and Pattern Recognition · Computer Science 2025-07-15 Mingkai Jia , Wei Yin , Xiaotao Hu , Jiaxin Guo , Xiaoyang Guo , Qian Zhang , Xiao-Xiao Long , Ping Tan

Challenging combinatorial optimization problems are ubiquitous in science and engineering. Several quantum methods for optimization have recently been developed, in different settings including both exact and approximate solvers. Addressing…

Quantum Physics · Physics 2023-09-20 Nicolas PD Sawaya , Albert T Schmitz , Stuart Hadfield

Large Language Models (LLMs) are increasingly used in applications requiring long context lengths, but the key-value (KV) cache often becomes a memory bottleneck on GPUs as context grows. To address this, we propose Commutative Vector…

When considering post-training quantization, prior work has typically focused on developing a mixed precision scheme or learning the best way to partition a network for quantization. In our work, CPT-V, we look at a general way to improve…

Computer Vision and Pattern Recognition · Computer Science 2023-01-10 Natalia Frumkin , Dibakar Gope , Diana Marculescu

Similarity search retrieves the nearest neighbors of a query vector from a dataset of high-dimensional vectors. As the size of the dataset grows, the cost of performing the distance computations needed to implement a query can become…

Machine Learning · Computer Science 2019-12-20 Soroosh Khoram , Stephen J Wright , Jing Li

How can we accurately quantize a pre-trained Vision Transformer model? Quantization algorithms compress Vision Transformers (ViTs) into low-bit formats, reducing memory and computation demands with minimal accuracy degradation. However,…

Computer Vision and Pattern Recognition · Computer Science 2025-11-17 Minjun Kim , Jaeri Lee , Jongjin Kim , Jeongin Yun , Yongmo Kwon , U Kang

Vector quantization(VQ) is a hardware-friendly DNN compression method that can reduce the storage cost and weight-loading datawidth of hardware accelerators. However, conventional VQ techniques lead to significant accuracy loss because the…

Computer Vision and Pattern Recognition · Computer Science 2024-12-17 Shuaiting Li , Chengxuan Wang , Juncan Deng , Zeyu Wang , Zewen Ye , Zongsheng Wang , Haibin Shen , Kejie Huang

Vector quantization (VQ) is a prevalent and fundamental technique that discretizes continuous feature vectors by approximating them using a codebook. As the diversity and complexity of data and models continue to increase, there is an…

Computer Vision and Pattern Recognition · Computer Science 2026-01-05 Jie Li , Kwan-Yee K. Wong , Kai Han

Vector quantization is a fundamental technique for compression and large-scale nearest neighbor search. For high-accuracy operating points, multi-codebook quantization associates data vectors with one element from each of multiple…

Machine Learning · Computer Science 2025-01-08 Théophane Vallaeys , Matthew Muckley , Jakob Verbeek , Matthijs Douze

Vector Quantization (VQ) is a method for discretizing latent representations and has become a major part of the deep learning toolkit. It has been theoretically and empirically shown that discretization of representations leads to improved…

Machine Learning · Computer Science 2022-02-04 Dianbo Liu , Alex Lamb , Xu Ji , Pascal Notsawo , Mike Mozer , Yoshua Bengio , Kenji Kawaguchi

Variational quantum algorithms (VQAs) provide a promising approach to achieving quantum advantage for practical problems on near-term noisy intermediate-scale quantum (NISQ) devices. Thus far, most studies on VQAs have focused on…

Quantum Physics · Physics 2023-10-06 Yutaro Enomoto , Keitaro Anai , Kenta Udagawa , Shuntaro Takeda

We outline a new approach for solving optimization problems which enforce triangle inequalities on output variables. We refer to this as metric-constrained optimization, and give several examples where problems of this form arise in machine…

Numerical Analysis · Computer Science 2018-06-06 Nate Veldt , David Gleich , Anthony Wirth , James Saunderson

Although the classical LQR design method has been very successful in real world engineering designs, in some cases, the classical design method needs modifications because of the saturation in actuators. This modified problem is sometimes…

Optimization and Control · Mathematics 2022-09-13 Yaguang Yang

Mixture of Experts (MoE) models have achieved great success by significantly improving performance while maintaining computational efficiency through sparse expert activation. However, their enormous parameter sizes and memory demands pose…

Machine Learning · Computer Science 2026-02-25 Zukang Xu , Zhixiong Zhao , Xing Hu , Zhixuan Chen , Dawei Yang

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

Vector Quantization (VQ) has emerged as a prominent weight compression technique, showcasing substantially lower quantization errors than uniform quantization across diverse models, particularly in extreme compression scenarios. However,…

Computer Vision and Pattern Recognition · Computer Science 2025-08-05 Shuaiting Li , Juncan Deng , Chenxuan Wang , Kedong Xu , Rongtao Deng , Hong Gu , Haibin Shen , Kejie Huang

With the advent of large language models (LLMs), numerous Post-Training Quantization (PTQ) strategies have been proposed to alleviate deployment barriers created by their enormous parameter counts. Quantization achieves compression by…

Machine Learning · Computer Science 2025-09-24 Wonjun Bang , Jongseok Park , Hongseung Yu , Kyungmin Bin , Kyunghan Lee

Variational Quantum optimization algorithms, such as the Variational Quantum Eigensolver (VQE) or the Quantum Approximate Optimization Algorithm (QAOA), are among the most studied quantum algorithms. In our work, we evaluate and improve an…

Quantum Physics · Physics 2022-10-24 David Winderl , Nicola Franco , Jeanette Miriam Lorenz

This paper addresses the limitations of conventional vector quantization algorithms, particularly K-Means and its variant K-Means++, and investigates the Stochastic Quantization (SQ) algorithm as a scalable alternative for high-dimensional…

Machine Learning · Computer Science 2025-03-11 Anton Kozyriev , Vladimir Norkin

Finding optimal data for inpainting is a key problem in the context of partial differential equation based image compression. The data that yields the most accurate reconstruction is real-valued. Thus, quantisation models are mandatory to…

Computer Vision and Pattern Recognition · Computer Science 2017-06-21 Laurent Hoeltgen , Pascal Peter , Michael Breuß