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The ever-increasing computational demands and deployment costs of large language models (LLMs) have spurred numerous compressing methods. Compared to quantization and unstructured pruning, SVD compression offers superior hardware…

Machine Learning · Computer Science 2025-06-26 Xuan Ding , Rui Sun , Yunjian Zhang , Xiu Yan , Yueqi Zhou , Kaihao Huang , Suzhong Fu , Chuanlong Xie , Yao Zhu

Singular value decomposition (SVD) is one of the most popular compression methods that approximate a target matrix with smaller matrices. However, standard SVD treats the parameters within the matrix with equal importance, which is a simple…

Computation and Language · Computer Science 2022-12-19 Ting Hua , Yen-Chang Hsu , Felicity Wang , Qian Lou , Yilin Shen , Hongxia Jin

Despite significant advancements, the practical deployment of Large Language Models (LLMs) is often hampered by their immense sizes, highlighting the need for effective compression techniques. Singular Value Decomposition (SVD) is a…

Computation and Language · Computer Science 2025-03-18 Xin Wang , Samiul Alam , Zhongwei Wan , Hui Shen , Mi Zhang

Large language models (LLMs) have demonstrated impressive capabilities in a wide range of downstream natural language processing tasks. Nevertheless, their considerable sizes and memory demands hinder practical deployment, underscoring the…

Computation and Language · Computer Science 2026-03-17 Haolei Bai , Siyong Jian , Tuo Liang , Yu Yin , Huan Wang

The advancements in Large Language Models (LLMs) have been hindered by their substantial sizes, which necessitates LLM compression methods for practical deployment. Singular Value Decomposition (SVD) offers a promising solution for LLM…

Computation and Language · Computer Science 2025-03-18 Xin Wang , Yu Zheng , Zhongwei Wan , Mi Zhang

The deployment of Large Language Models is constrained by the memory and bandwidth demands of static weights and dynamic Key-Value cache. SVD-based compression provides a hardware-friendly solution to reduce these costs. However, existing…

Computation and Language · Computer Science 2026-04-03 Ruoling Qi , Yirui Liu , Xuaner Wu , Xiangyu Wang , Ming Li , Chen Chen , Jian Chen , Yin Chen , Qizhen Weng

In the field of large language model (LLM) compression, singular value decomposition (SVD) is a widely studied and adopted low-rank decomposition technique. Since SVD operates exclusively on linear modules, and these modules in LLMs are…

Machine Learning · Computer Science 2025-10-23 Lin Xv , Jingsheng Gao , Xian Gao , Ting Liu , Yuzhuo Fu

Advances in large language models have driven strong performance across many tasks, but their memory and compute costs still hinder deployment. SVD-based compression reduces storage and can speed up inference via low-rank factors, yet…

Machine Learning · Computer Science 2026-02-04 Ali Abbasi , Chayne Thrash , Haoran Qin , Shansita Sharma , Sepehr Seifi , Soheil Kolouri

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

Large language models (LLMs) have achieved remarkable success in natural language processing (NLP) tasks, yet their substantial memory requirements present significant challenges for deployment on resource-constrained devices. Singular…

Computer Vision and Pattern Recognition · Computer Science 2025-09-26 Zhiteng Li , Mingyuan Xia , Jingyuan Zhang , Zheng Hui , Haotong Qin , Linghe Kong , Yulun Zhang , Xiaokang Yang

Singular value decomposition (SVD) has a crucial role in model order reduction. It is often utilized in the offline stage to compute basis functions that project the high-dimensional nonlinear problem into a low-dimensionsl model which is,…

Numerical Analysis · Mathematics 2016-11-09 Alessandro Alla , J. Nathan Kutz

Large language models (LLMs) have rapidly scaled in size, bringing severe memory and computational challenges that hinder their deployment. Singular Value Decomposition (SVD)-based compression has emerged as an appealing post-training…

Machine Learning · Computer Science 2025-10-07 Zhendong Mi , Bian Sun , Grace Li Zhang , Shaoyi Huang

Vision-Language Models (VLMs) are integral to tasks such as image captioning and visual question answering, but their high computational cost, driven by large memory footprints and processing time, limits their scalability and real-time…

Machine Learning · Computer Science 2025-10-21 Yutong Wang , Haiyu Wang , Sai Qian Zhang

Dynamic Mode Decomposition (DMD) has emerged as a powerful tool for analyzing the dynamics of non-linear systems from experimental datasets. Recently, several attempts have extended DMD to the context of low-rank approximations. This…

Machine Learning · Statistics 2018-05-18 Patrick Héas , Cédric Herzet

Singular Value Decomposition (SVD) has become an important technique for reducing the computational burden of Vision Language Models (VLMs), which play a central role in tasks such as image captioning and visual question answering. Although…

Computer Vision and Pattern Recognition · Computer Science 2026-04-06 Haiyu Wang , Yutong Wang , Jack Jiang , Sai Qian Zhang

Low-rank decomposition has emerged as an important problem in Large Language Model (LLM) fine-tuning and inference. Through Singular Value Decomposition (SVD), the weight matrix can be factorized into low-rank spaces optimally. Previously,…

Machine Learning · Computer Science 2026-04-02 Yuhang Li , Donghyun Lee , Ruokai Yin , Priyadarshini Panda

Low-rank approximation methods such as singular value decomposition (SVD) and its variants (e.g., Fisher-weighted SVD, Activation SVD) have recently emerged as effective tools for neural network compression. In this setting, decomposition…

Machine Learning · Computer Science 2025-12-02 Haoran Qin , Shansita Sharma , Ali Abbasi , Chayne Thrash , Soheil Kolouri

Large Language Models (LLMs) have achieved remarkable breakthroughs. However, the huge number of parameters in LLMs require significant amount of memory storage in inference, which prevents their practical deployment in many applications.…

Computation and Language · Computer Science 2024-10-08 Jingcun Wang , Yu-Guang Chen , Ing-Chao Lin , Bing Li , Grace Li Zhang

Continual learning in large language models (LLMs) is prone to catastrophic forgetting, where adapting to new tasks significantly degrades performance on previously learned ones. Existing methods typically rely on low-rank,…

Parameter-Efficient Fine-Tuning (PEFT) has emerged as a critical paradigm for adapting Large Language Models (LLMs) to downstream tasks, among which Low-rank Adaptation (LoRA) represents one of the most widely adopted methodologies.…

Computation and Language · Computer Science 2025-05-22 Jialong Han , Si Zhang , Ke Zhang
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