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We propose new algorithms for singular value decomposition (SVD) of very large-scale matrices based on a low-rank tensor approximation technique called the tensor train (TT) format. The proposed algorithms can compute several dominant…

Numerical Analysis · Mathematics 2016-02-11 Namgil Lee , Andrzej Cichocki

This study presents an ensemble technique, SPQ (SVD-Pruning-Quantization), for large language model (LLM) compression that combines variance-retained singular value decomposition (SVD), activation-based pruning, and post-training linear…

Computation and Language · Computer Science 2026-02-23 Jiamin Yao , Eren Gultepe

Singular value decomposition (SVD) is a widely used technique for dimensionality reduction and computation of basis vectors. In many applications, especially in fluid mechanics and image processing the matrices are dense, but low-rank…

Numerical Analysis · Computer Science 2019-05-13 Vinita Vasudevan , M. Ramakrishna

The rapid growth in the parameter scale of large language models (LLMs) has created a high demand for efficient compression techniques. As a hardware-agnostic and highly compatible technique, low-rank compression has been widely adopted.…

Computation and Language · Computer Science 2026-02-04 Xing Hu , Dawei Yang , Yuan Cheng , Zhixuan Chen , Zukang Xu

Singular Value Decomposition (SVD) has recently seen a surge of interest as a simple yet powerful tool for large language models (LLMs) compression, with a growing number of works demonstrating 20-80% parameter reductions at minimal…

Machine Learning · Computer Science 2025-08-05 Zishan Shao , Yixiao Wang , Qinsi Wang , Ting Jiang , Zhixu Du , Hancheng Ye , Danyang Zhuo , Yiran Chen , Hai Li

For the efficient inference of Large Language Models (LLMs), the effective compression of key-value (KV) cache is essential. Three main types of KV cache compression techniques, namely sparsity, channel compression, and quantization, have…

Machine Learning · Computer Science 2025-02-24 Hong Yankun , Li Xing , Zhen Hui-Ling , Yu Xianzhi , Liu Wulong , Yuan Mingxuan

Large language models deliver strong performance across language and reasoning tasks, but their storage and compute costs remain major barriers to deployment in resource-constrained and latency-sensitive settings. SVD-based post-training…

Machine Learning · Computer Science 2026-05-18 Ali Abbasi , Chayne Thrash , Haoran Qin , Hamed Pirsiavash , Soheil Kolouri

Approaches for compressing large-language models using low-rank decomposition have made strides, particularly with the introduction of activation and loss-aware SVD, which improves the trade-off between decomposition rank and downstream…

Machine Learning · Computer Science 2025-12-17 Sidhant Sundrani , Francesco Tudisco , Pasquale Minervini

We propose a compression based continual task learning method that can dynamically grow a neural network. Inspired from the recent model compression techniques, we employ compression-aware training and perform low-rank weight approximations…

Computer Vision and Pattern Recognition · Computer Science 2020-09-16 Varigonda Pavan Teja , Priyadarshini Panda

Large Language Models (LLMs) present significant deployment challenges due to their immense size and computational requirements. Model compression techniques are essential for making these models practical for resource-constrained…

Large language models (LLMs) have rapidly grown in scale, creating substantial memory and computational costs that hinder efficient deployment. Singular value decomposition (SVD) has emerged as an effective post-training compression…

Machine Learning · Computer Science 2026-05-12 Hengyi Zhu , Zhendong Mi , Grace Li Zhang , Shaoyi Huang

While pruning methods effectively maintain model performance without extra training costs, they often focus solely on preserving crucial connections, overlooking the impact of pruned weights on subsequent fine-tuning or distillation,…

Computer Vision and Pattern Recognition · Computer Science 2025-04-01 Hyeonjin Kim , Jaejun Yoo

Singular Value Decomposition (SVD) is the basic body of many statistical algorithms and few users question whether SVD is properly handling its job. SVD aims at evaluating the decomposition that best approximates a data matrix, given some…

Applications · Statistics 2007-09-06 William Rey

On-device recommendation is critical for a number of real-world applications, especially in scenarios that have agreements on execution latency, user privacy, and robust functionality when internet connectivity is unstable or even…

Information Retrieval · Computer Science 2026-01-15 Xin Xia , Hongzhi Yin , Shane Culpepper

We introduce a fast low-rank factorization-based framework for compressing large language models that enables rapid compression of billion-parameter models without retraining. Unlike existing factorization-based approaches that optimize…

Machine Learning · Computer Science 2026-04-03 Atul Kumar Sinha , François Fleuret

This article studies the problem of decentralized Singular Value Decomposition (d-SVD), which is fundamental in various signal processing applications. Two scenarios are considered depending on the availability of the data matrix under…

Signal Processing · Electrical Eng. & Systems 2025-01-10 Yufan Fan , Marius Pesavento

This paper presents the modal truncation and singular value decomposition (SVD) technique as two main algorithms for dynamic model reduction of the power system. The significance and accuracy of the proposed methods are investigated with…

Systems and Control · Electrical Eng. & Systems 2020-04-17 Mohammad Khatibi , Fatemeh Rahmani , Tanushree Agarwal

Due to the substantial scale of Large Language Models (LLMs), the direct application of conventional compression methodologies proves impractical. The computational demands associated with even minimal gradient updates present challenges,…

Machine Learning · Computer Science 2023-12-13 Arnav Chavan , Nahush Lele , Deepak Gupta

Large Vision-Language Models (VLMs) exhibit impressive multi-modal capabilities but suffer from prohibitive computational and memory demands, due to their long visual token sequences and massive parameter sizes. To address these issues,…

Computer Vision and Pattern Recognition · Computer Science 2025-11-18 Chengtao Lv , Bilang Zhang , Yang Yong , Ruihao Gong , Yushi Huang , Shiqiao Gu , Jiajun Wu , Yumeng Shi , Jinyang Guo , Wenya Wang

Personalized text-to-image models such as DreamBooth require fine-tuning large-scale diffusion backbones, resulting in significant storage overhead when maintaining many subject-specific models. We present Delta-SVD, a post-hoc,…

Computer Vision and Pattern Recognition · Computer Science 2025-08-26 Tangyuan Zhang , Shangyu Chen , Qixiang Chen , Jianfei Cai