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Low-Rank Adaptation (LoRA) is one of the most widely used techniques for fine-tuning large language models (LLMs). By introducing a small number of trainable low-rank weight matrices, LoRA substantially reduces the number of parameters that…

Machine Learning · Computer Science 2025-07-15 Seokmin Ko

Recommender systems (RSs) provide an effective way of alleviating the information overload problem by selecting personalized choices. Online social networks and user-generated content provide diverse sources for recommendation beyond…

Information Retrieval · Computer Science 2020-10-19 Guang-Neng Hu , Xin-Yu Dai , Yunya Song , Shu-Jian Huang , Jia-Jun Chen

Recommender systems are a kind of data filtering that guides the user to interesting and valuable resources within an extensive dataset. by providing suggestions of products that are expected to match their preferences. However, due to data…

Information Retrieval · Computer Science 2024-06-18 Sajida Mhammedi , Hakim El Massari , Noreddine Gherabi , Amnai Mohamed

Recommender systems (RSs) provide an effective way of alleviating the information overload problem by selecting personalized items for different users. Latent factors based collaborative filtering (CF) has become the popular approaches for…

Information Retrieval · Computer Science 2021-01-15 Guang-Neng Hu , Xin-Yu Dai , Feng-Yu Qiu , Rui Xia , Tao Li , Shu-Jian Huang , Jia-Jun Chen

Subspace segmentation assumes that data comes from the union of different subspaces and the purpose of segmentation is to partition the data into the corresponding subspace. Low-rank representation (LRR) is a classic spectral-type method…

Machine Learning · Computer Science 2020-07-15 Xishun Wang , Zhouwang Yang , Xingye Yue , Hui Wang

Low-rank Adaptation (LoRA) has emerged as a powerful method for fine-tuning large-scale foundation models. Despite its popularity, the theoretical understanding of LoRA has remained limited. This paper presents a theoretical analysis of…

Machine Learning · Computer Science 2025-06-10 Tuan Truong , Chau Nguyen , Huy Nguyen , Minh Le , Trung Le , Nhat Ho

Low-Rank Adaptation~(LoRA), which updates the dense neural network layers with pluggable low-rank matrices, is one of the best performed parameter efficient fine-tuning paradigms. Furthermore, it has significant advantages in cross-task…

Machine Learning · Computer Science 2024-10-25 Yuren Mao , Yuhang Ge , Yijiang Fan , Wenyi Xu , Yu Mi , Zhonghao Hu , Yunjun Gao

Little research explores the correlation between the expressive ability and generalization ability of the low-rank adaptation (LoRA). Sharpness-Aware Minimization (SAM) improves model generalization for both Convolutional Neural Networks…

Computation and Language · Computer Science 2025-12-16 Jiaxin Deng , Qingcheng Zhu , Junbiao Pang , Linlin Yang , Zhongqian Fu , Baochang Zhang

Low-Rank Adaptation (LoRA) is a widely adopted parameter-efficient fine-tuning (PEFT) method for Large Language Models (LLMs), but it still incurs notable overhead and suffers from parameter interference in complex datasets. While recent…

Computation and Language · Computer Science 2025-12-19 Chunlin Tian , Xuyang Wei , Huanrong Liu , Zhijiang Guo , Li Li

Matrix factorization models are the core of current commercial collaborative filtering Recommender Systems. This paper tested six representative matrix factorization models, using four collaborative filtering datasets. Experiments have…

Information Retrieval · Computer Science 2024-10-28 Jesús Bobadilla , Jorge Dueñas-Lerín , Fernando Ortega , Abraham Gutierrez

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

The large volume and complexity of medical imaging datasets are bottlenecks for storage, transmission, and processing. To tackle these challenges, the application of low-rank matrix approximation (LRMA) and its derivative, local LRMA…

Image and Video Processing · Electrical Eng. & Systems 2025-02-28 Sisipho Hamlomo , Marcellin Atemkeng , Yusuf Brima , Chuneeta Nunhokee , Jeremy Baxter

Recently latent factor model (LFM) has been drawing much attention in recommender systems due to its good performance and scalability. However, existing LFMs predict missing values in a user-item rating matrix only based on the known ones,…

Machine Learning · Computer Science 2020-03-06 Chaochao Chen , Kevin C. Chang , Qibing Li , Xiaolin Zheng

We develop a new collaborative filtering (CF) method that combines both previously known users' preferences, i.e. standard CF, as well as product/user attributes, i.e. classical function approximation, to predict a given user's interest in…

Machine Learning · Computer Science 2007-05-23 Jacob Abernethy , Francis Bach , Theodoros Evgeniou , Jean-Philippe Vert

LoRA (Low-Rank Adaptation) has emerged as a preferred method for efficiently adapting Large Language Models (LLMs) with remarkable simplicity and efficacy. This note extends the original LoRA paper by offering new perspectives that were not…

Machine Learning · Computer Science 2024-04-09 Vlad Fomenko , Han Yu , Jongho Lee , Stanley Hsieh , Weizhu Chen

Low-Rank Adaptation (LoRA) is a popular technique for parameter-efficient fine-tuning of Large Language Models (LLMs). We study how different LoRA modules can be merged to achieve skill composition -- testing the performance of the merged…

Computation and Language · Computer Science 2024-12-03 Akshara Prabhakar , Yuanzhi Li , Karthik Narasimhan , Sham Kakade , Eran Malach , Samy Jelassi

We consider the problem of learning a low-rank matrix, constrained to lie in a linear subspace, and introduce a novel factorization for modeling such matrices. A salient feature of the proposed factorization scheme is it decouples the…

Machine Learning · Statistics 2018-06-18 Pratik Jawanpuria , Bamdev Mishra

Large pre-trained models, such as large language models (LLMs), present significant resource challenges for fine-tuning due to their extensive parameter sizes, especially for applications in mobile systems. To address this, Low-Rank…

Machine Learning · Computer Science 2024-07-18 Yuzhu Mao , Siqi Ping , Zihao Zhao , Yang Liu , Wenbo Ding

Low-rank matrix factorizations are a class of linear models widely used in various fields such as machine learning, signal processing, and data analysis. These models approximate a matrix as the product of two smaller matrices, where the…

Machine Learning · Computer Science 2024-12-10 Olivier Vu Thanh

Supervised matrix factorization (SMF) is a classical machine learning method that simultaneously seeks feature extraction and classification tasks, which are not necessarily a priori aligned objectives. Our goal is to use SMF to learn…

Machine Learning · Statistics 2023-11-21 Joowon Lee , Hanbaek Lyu , Weixin Yao