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Large language models (LLMs) are increasingly prevalent across diverse applications. However, their enormous size limits storage and processing capabilities to a few well-resourced stakeholders. As a result, most applications rely on…

Computation and Language · Computer Science 2025-11-05 Mohammadsajad Alipour , Mohammad Mohammadi Amiri

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

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

The rapid growth of large language models (LLMs) presents significant deployment challenges due to their massive computational and memory demands. While model compression, such as network pruning, offers potential solutions, most existing…

Machine Learning · Computer Science 2026-04-07 Ziwei Li , Yuang Ma , Yi Kang

Low Rank Decomposition of matrix - splitting a large matrix into a product of two smaller matrix offers a means for compression that reduces the parameters of a model without sparsification, and hence delivering more speedup on modern…

Computation and Language · Computer Science 2023-09-26 Ayush Kaushal , Tejas Vaidhya , Irina Rish

Large pre-trained Transformer models achieve state-of-the-art results across diverse language and reasoning tasks, but full fine-tuning incurs substantial storage, memory, and computational overhead. Parameter-efficient fine-tuning (PEFT)…

Machine Learning · Computer Science 2025-06-19 Yee Hin Chong , Peng Qu

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

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

In this paper, we introduce a new post-training compression paradigm for Large Language Models (LLMs) to facilitate their wider adoption. We delve into LLM weight low-rank decomposition, and find that the challenges of this task stem from…

Computation and Language · Computer Science 2025-08-29 Zhihang Yuan , Yuzhang Shang , Yue Song , Dawei Yang , Qiang Wu , Yan Yan , Guangyu Sun

Supervised Fine-Tuning (SFT) empowers Large Language Models (LLMs) with exceptional performance on specialized tasks, but it yields dense, high-dimensional delta parameters that pose severe storage and distribution challenges. Singular…

Machine Learning · Computer Science 2026-02-17 Boya Xiong , Shuo Wang , Weifeng Ge , Guanhua Chen , Yun Chen

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

While long-context large language models (LLMs) exhibit remarkable document processing capabilities, their prohibitively high training costs often hinder customized applications. To mitigate this issue, we propose \textit{Sequential…

Machine Learning · Computer Science 2025-05-23 Wenhao Li , Yuxin Zhang , Gen Luo , Daohai Yu , Rongrong Ji

Higher-order tensor decompositions are analogous to the familiar Singular Value Decomposition (SVD), but they transcend the limitations of matrices (second-order tensors). SVD is a powerful tool that has achieved impressive results in…

Machine Learning · Computer Science 2007-11-14 Peter D. Turney

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

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

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

The singular value decomposition (SVD) is a crucial tool in machine learning and statistical data analysis. However, it is highly susceptible to outliers in the data matrix. Existing robust SVD algorithms often sacrifice speed for…

Machine Learning · Statistics 2024-02-16 Sangil Han , Kyoowon Kim , Sungkyu Jung

While transfer learning is an effective strategy, it often overlooks the opportunity to leverage knowledge from numerous available models online. Addressing this multi-source transfer learning problem is a promising path to boost…

Machine Learning · Computer Science 2026-04-24 Marcin Osial , Bartosz Wójcik , Bartosz Zieliński , Sebastian Cygert

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

Deep learning models trained in a supervised setting have revolutionized audio and speech processing. However, their performance inherently depends on the quantity of human-annotated data, making them costly to scale and prone to poor…

Audio and Speech Processing · Electrical Eng. & Systems 2026-02-12 Theo Lepage , Reda Dehak