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Large language models (LLMs) excel at language understanding and generation, but their enormous computational and memory requirements hinder deployment. Compression offers a potential solution to mitigate these constraints. However, most…

Machine Learning · Computer Science 2026-05-19 Huanrong Liu , Chunlin Tian , Xuyang Wei , Qingbiao Li , Li Li

Recent large language models (LLMs) employ billions of parameters to enable broad problem-solving capabilities. Such language models also tend to be memory-bound because of the dominance of matrix-vector and matrix-matrix multiplications…

Machine Learning · Computer Science 2024-10-24 Chakshu Moar , Faraz Tahmasebi , Michael Pellauer , Hyoukjun Kwon

Computing eigenvalue decomposition (EVD) of a given linear operator, or finding its leading eigenvalues and eigenfunctions, is a fundamental task in many machine learning and scientific computing problems. For high-dimensional eigenvalue…

Machine Learning · Computer Science 2024-08-22 J. Jon Ryu , Xiangxiang Xu , H. S. Melihcan Erol , Yuheng Bu , Lizhong Zheng , Gregory W. Wornell

The inference overhead induced by redundant reasoning undermines the interactive experience and severely bottlenecks the deployment of Large Reasoning Models. Existing reinforcement learning (RL)-based solutions tackle this problem by…

Artificial Intelligence · Computer Science 2026-01-30 Yiqun Chen , Jinyuan Feng , Wei Yang , Meizhi Zhong , Zhengliang Shi , Rui Li , Xiaochi Wei , Yan Gao , Yi Wu , Yao Hu , Zhiqiang Pu , Jiaxin Mao

Low-Rank Adaptation (LoRA) has emerged as one of the most effective, computationally tractable fine-tuning approaches for training Vision-Language Models (VLMs) and Large Language Models (LLMs). LoRA accomplishes this by freezing the…

Machine Learning · Computer Science 2025-05-28 Nastaran Saadati , Zhanhong Jiang , Joshua R. Waite , Shreyan Ganguly , Aditya Balu , Chinmay Hegde , Soumik Sarkar

Existing low-rank adaptation (LoRA) methods face challenges on sparse large language models (LLMs) due to the inability to maintain sparsity. Recent works introduced methods that maintain sparsity by augmenting LoRA techniques with…

Computation and Language · Computer Science 2025-01-16 Yuxuan Hu , Jing Zhang , Xiaodong Chen , Zhe Zhao , Cuiping Li , Hong Chen

Low-Rank Adaptation (LoRA) lowers the computational and memory overhead of fine-tuning large models by updating a low-dimensional subspace of the pre-trained weight matrix. Albeit efficient, LoRA exhibits suboptimal convergence and…

Machine Learning · Computer Science 2026-02-25 Yilang Zhang , Bingcong Li , Georgios B. Giannakis

Low-Rank Adaptation (LoRA) is the bread and butter of Large Language Model (LLM) finetuning. LoRA learns an additive low-rank perturbation, $AB$, of a pretrained matrix parameter $W$ to align the model to a new task or dataset with $W+AB$.…

Machine Learning · Computer Science 2024-10-15 Hai Huang , Randall Balestriero

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 matrix approximation (LRMA) is a powerful technique for signal processing and pattern analysis. However, its potential for data compression has not yet been fully investigated in the literature. In this paper, we propose sparse…

Multimedia · Computer Science 2016-02-22 Junhui Hou , Lap-Pui Chau , Nadia Magnenat-Thalmann , Ying He

Large Language Models (LLMs) have enabled remarkable progress in natural language processing, yet their high computational and memory demands pose challenges for deployment in resource-constrained environments. Although recent low-rank…

Computation and Language · Computer Science 2026-02-09 Jiayi Tian , Ryan Solgi , Jinming Lu , Yifan Yang , Hai Li , Zheng Zhang

Low-rank adaptation (LoRA) offers an efficient alternative to full-weight adaptation in federated fine-tuning of language models, significantly reducing computational costs. By adjusting ranks for each client, federated LoRA enables…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-02-18 Yuji Byun , Jaeho Lee

Low-Rank Adaptation (LoRA) is a crucial method for efficiently fine-tuning large language models (LLMs), with its effectiveness influenced by two key factors: rank selection and weight initialization. While numerous LoRA variants have been…

Machine Learning · Computer Science 2025-10-27 Haonan He , Peng Ye , Yuchen Ren , Yuan Yuan , Luyang Zhou , Shucun Ju , Lei Chen

Aligning Large Language Models (LLMs) to cater to different human preferences, learning new skills, and unlearning harmful behavior is an important problem. Search-based methods, such as Best-of-N or Monte-Carlo Tree Search, are performant,…

Machine Learning · Computer Science 2024-05-13 Seungwook Han , Idan Shenfeld , Akash Srivastava , Yoon Kim , Pulkit Agrawal

Large Language Models (LLMs) demonstrate robust capabilities across various fields, leading to a paradigm shift in LLM-enhanced Recommender System (RS). Research to date focuses on point-wise and pair-wise recommendation paradigms, which…

Information Retrieval · Computer Science 2024-09-30 Wen-Shuo Chao , Zhi Zheng , Hengshu Zhu , Hao Liu

Fine-tuning is a key approach for adapting language models to specific downstream tasks, but updating all model parameters becomes impractical as model sizes increase. Parameter-Efficient Fine-Tuning (PEFT) methods, such as Low-Rank…

Computation and Language · Computer Science 2025-02-10 Jiayang Yu , Yihang Zhang , Bin Wang , Peiqin Lin , Yongkang Liu , Shi Feng

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

Low-Rank Adaptation (LoRA) improves downstream performance by restricting task updates to a low-rank parameter subspace, yet how this limited capacity is allocated within a trained adapter remains unclear. Through a geometric and empirical…

Machine Learning · Computer Science 2026-03-05 Zailong Tian , Yanzhe Chen , Zhuoheng Han , Lizi Liao

We present a unified theoretical framework for parametric low-rank approximation, a research area devoted to the development of efficient algorithms that act as adaptive alternatives of traditional methods such as Singular Value…

Numerical Analysis · Mathematics 2025-09-22 Nicola Rares Franco

Low-rank adaptation is a popular parameter-efficient fine-tuning method for large language models. In this paper, we analyze the impact of low-rank updating, as implemented in LoRA. Our findings suggest that the low-rank updating mechanism…

Computation and Language · Computer Science 2024-05-21 Ting Jiang , Shaohan Huang , Shengyue Luo , Zihan Zhang , Haizhen Huang , Furu Wei , Weiwei Deng , Feng Sun , Qi Zhang , Deqing Wang , Fuzhen Zhuang