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Quantization is of significance for compressing the over-parameterized deep neural models and deploying them on resource-limited devices. Fixed-precision quantization suffers from performance drop due to the limited numerical representation…

Computer Vision and Pattern Recognition · Computer Science 2024-06-17 Chen Tang , Yuan Meng , Jiacheng Jiang , Shuzhao Xie , Rongwei Lu , Xinzhu Ma , Zhi Wang , Wenwu Zhu

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

Tiny machine learning (tinyML) has emerged during the past few years aiming to deploy machine learning models to embedded AI processors with highly constrained memory and computation capacity. Low precision quantization is an important…

The size of a model has been a strong predictor of its quality, as well as its cost. As such, the trade-off between model cost and quality has been well-studied. Post-training optimizations like quantization and pruning have typically…

Machine Learning · Computer Science 2025-08-29 Giuseppe Franco , Pablo Monteagudo-Lago , Ian Colbert , Nicholas Fraser , Michaela Blott

End-to-end Learned image compression (LIC) has reached the traditional hand-crafted methods such as BPG (HEVC intra) in terms of the coding gain. However, the large network size prohibits the usage of LIC on resource-limited embedded…

Image and Video Processing · Electrical Eng. & Systems 2021-11-19 Heming Sun , Lu Yu , Jiro Katto

Quantization plays a crucial role in accelerating the inference of large-scale models, and rotational matrices have been shown to effectively improve quantization performance by smoothing outliers. However, end-to-end fine-tuning of…

Machine Learning · Computer Science 2025-11-07 Yuantian Shao , Yuanteng Chen , Peisong Wang , Jianlin Yu , Jing Lin , Yiwu Yao , Zhihui Wei , Jian Cheng

Matrix factorization is a well-studied task in machine learning for compactly representing large, noisy data. In our approach, instead of using the traditional concept of matrix rank, we define a new notion of link-rank based on a…

Machine Learning · Statistics 2018-05-02 Pouya Pezeshkpour , Carlos Guestrin , Sameer Singh

Quantum operations on pure states can be fully represented by unitary matrices. Variational quantum circuits, also known as quantum neural networks, embed data and trainable parameters into gate-based operations and optimize the parameters…

Quantum Physics · Physics 2026-04-09 Basil Kyriacou , Mo Kordzanganeh , Maniraman Periyasamy , Alexey Melnikov

A natural and intuitive idea in model quantization is to approximate each component's quantized output to match its original. Motivated by this idea, most layer-wise post-training quantization (PTQ) methods focus on weight approximation at…

Machine Learning · Computer Science 2026-01-28 Li Lin , Xiaojun Wan

Learning-based 3D reconstruction models, represented by Visual Geometry Grounded Transformers (VGGTs), have made remarkable progress with the use of large-scale transformers. Their prohibitive computational and memory costs severely hinder…

Computer Vision and Pattern Recognition · Computer Science 2026-03-10 Weilun Feng , Haotong Qin , Mingqiang Wu , Chuanguang Yang , Yuqi Li , Xiangqi Li , Zhulin An , Libo Huang , Yulun Zhang , Michele Magno , Yongjun Xu

In this paper, we study extended linear regression approaches for quantum state tomography based on regularization techniques. For unknown quantum states represented by density matrices, performing measurements under certain basis yields…

Quantum Physics · Physics 2019-04-29 Biqiang Mu , Hongsheng Qi , Ian R. Petersen , Guodong Shi

Operating deep neural networks on devices with limited resources requires the reduction of their memory footprints and computational requirements. In this paper we introduce a training method, called look-up table quantization, LUT-Q, which…

Weight-only quantization has become a standard approach for efficiently serving large language models (LLMs). However, existing methods fail to efficiently compress models to binary (1-bit) levels, as they either require large amounts of…

Machine Learning · Computer Science 2026-05-19 Hyochan Chong , Dongkyu Kim , Changdong Kim , Minseop Choi

The algorithms in the current sequential numerical linear algebra libraries (e.g. LAPACK) do not parallelize well on multicore architectures. A new family of algorithms, the tile algorithms, has recently been introduced. Previous research…

Mathematical Software · Computer Science 2010-02-23 Emmanuel Agullo , Henricus Bouwmeester , Jack Dongarra , Jakub Kurzak , Julien Langou , Lee Rosenberg

Low-bit activation quantization remains a major bottleneck in efficient large language model (LLM) deployment. The difficulty is not only that activations contain outliers, but that their distributions are often poorly matched to a low-bit…

Machine Learning · Computer Science 2026-05-27 Ke Li , Dong An , Xiaoling Zang , Can Ye , Liang Xie , Qibo Qiu , Chen Shen , Xiaofei He , Wenxiao Wang

Importance Sampling (IS), an effective variance reduction strategy in Monte Carlo (MC) simulation, is frequently utilized for Bayesian inference and other statistical challenges. Quasi-Monte Carlo (QMC) replaces the random samples in MC…

Numerical Analysis · Mathematics 2024-03-19 Zhijian He , Hejin Wang , Xiaoqun Wang

We propose a flexible and theoretically supported framework for scalable nonnegative matrix factorization. The goal is to find nonnegative low-rank components directly from compressed measurements, accessing the original data only once or…

Optimization and Control · Mathematics 2026-02-17 Abraar Chaudhry , Elizaveta Rebrova

We propose LLM-FP4 for quantizing both weights and activations in large language models (LLMs) down to 4-bit floating-point values, in a post-training manner. Existing post-training quantization (PTQ) solutions are primarily integer-based…

Computation and Language · Computer Science 2024-04-30 Shih-yang Liu , Zechun Liu , Xijie Huang , Pingcheng Dong , Kwang-Ting Cheng

This paper examines the quantization methods used in large-scale data analysis models and their hyperparameter choices. The recent surge in data analysis scale has significantly increased computational resource requirements. To address…

Machine Learning · Statistics 2024-01-31 Shuhei Kashiwamura , Ayaka Sakata , Masaaki Imaizumi

We consider the problem of accurate quantization for language models, where both the weights and activations are uniformly quantized to 4 bits per parameter, the lowest bitwidth format natively supported by GPU hardware. In this context,…

Machine Learning · Computer Science 2024-08-28 Aniruddha Nrusimha , Mayank Mishra , Naigang Wang , Dan Alistarh , Rameswar Panda , Yoon Kim
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