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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

Fine-tuning has become a popular approach to adapting large foundational models to specific tasks. As the size of models and datasets grows, parameter-efficient fine-tuning techniques are increasingly important. One of the most widely used…

Low-Rank Adaptation (LoRA) is a widely used Parameter-Efficient Fine-Tuning (PEFT) method that updates an initial weight matrix $W_0$ with a delta matrix $\Delta W$ consisted by two low-rank matrices $A$ and $B$. A previous study suggested…

Computation and Language · Computer Science 2024-03-25 Hwichan Kim , Shota Sasaki , Sho Hoshino , Ukyo Honda

We study the computational limits of Low-Rank Adaptation (LoRA) for finetuning transformer-based models using fine-grained complexity theory. Our key observation is that the existence of low-rank decompositions within the gradient…

Machine Learning · Computer Science 2025-06-09 Jerry Yao-Chieh Hu , Maojiang Su , En-Jui Kuo , Zhao Song , Han Liu

Among the widely used parameter-efficient fine-tuning (PEFT) methods, LoRA and its variants have gained considerable popularity because of avoiding additional inference costs. However, there still often exists an accuracy gap between these…

Computation and Language · Computer Science 2024-07-10 Shih-Yang Liu , Chien-Yi Wang , Hongxu Yin , Pavlo Molchanov , Yu-Chiang Frank Wang , Kwang-Ting Cheng , Min-Hung Chen

In this work, we demonstrate how Low-Rank Adaptation (LoRA) can be used to combine different galaxy imaging datasets to improve redshift estimation with CNN models for cosmology. LoRA is an established technique for large language models…

Instrumentation and Methods for Astrophysics · Physics 2026-01-05 Vikram Seenivasan , Srinath Saikrishnan , Andrew Lizarraga , Jonathan Soriano , Bernie Boscoe , Tuan Do

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

Low-rank adaptation (LoRA) has become a standard approach for fine-tuning large foundation models. However, our theoretical understanding of LoRA remains limited as prior analyses of LoRA's training dynamics either rely on linearization…

Machine Learning · Computer Science 2025-06-04 Junsu Kim , Jaeyeon Kim , Ernest K. Ryu

Low-Rank Adaptation (LoRA), a parameter-efficient fine-tuning method that leverages low-rank adaptation of weight matrices, has emerged as a prevalent technique for fine-tuning pre-trained models such as large language models and diffusion…

Machine Learning · Computer Science 2024-03-19 Yuchen Zeng , Kangwook Lee

Low-rank adaptation, also known as LoRA, has emerged as a prominent method for parameter-efficient fine-tuning of foundation models. Despite its computational efficiency, LoRA still yields inferior performance compared to full fine-tuning.…

Machine Learning · Computer Science 2025-03-25 Zhengbo Wang , Jian Liang , Ran He , Zilei Wang , Tieniu Tan

Despite large neural networks demonstrating remarkable abilities to complete different tasks, they require excessive memory usage to store the optimization states for training. To alleviate this, the low-rank adaptation (LoRA) is proposed…

Machine Learning · Computer Science 2024-06-14 Yongchang Hao , Yanshuai Cao , Lili Mou

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

In this paper we generalize and extend an idea of low-rank adaptation (LoRA) of large language models (LLMs) based on Transformer architecture. Widely used LoRA-like methods of fine-tuning LLMs are based on matrix factorization of gradient…

Computation and Language · Computer Science 2024-02-06 Daniel Bershatsky , Daria Cherniuk , Talgat Daulbaev , Aleksandr Mikhalev , Ivan Oseledets

Low-Rank Adaptation (LoRA) has emerged as a widely adopted parameter-efficient fine-tuning (PEFT) technique for foundation models. Recent work has highlighted an inherent asymmetry in the initialization of LoRA's low-rank factors, which has…

Machine Learning · Statistics 2025-06-18 Anastasis Kratsios , Tin Sum Cheng , Aurelien Lucchi , Haitz Sáez de Ocáriz Borde

Low-rank adaptations (LoRAs) have revolutionized the finetuning of large foundation models, enabling efficient adaptation even with limited computational resources. The resulting proliferation of LoRAs presents exciting opportunities for…

Machine Learning · Computer Science 2024-10-16 Theo Putterman , Derek Lim , Yoav Gelberg , Stefanie Jegelka , Haggai Maron

In this paper, we introduce a subspace-inspired Low-Rank Adaptation (LoRA) method, which is computationally efficient, easy to implement, and readily applicable to large language, multimodal, and diffusion models. Initially, we equivalently…

Machine Learning · Computer Science 2025-03-04 Taiqiang Wu , Jiahao Wang , Zhe Zhao , Ngai Wong

Low-rank adaption (LoRA) is a widely used parameter-efficient finetuning method for LLM that reduces memory requirements. However, current LoRA optimizers lack transformation invariance, meaning the actual updates to the weights depends on…

Machine Learning · Computer Science 2025-07-18 Jui-Nan Yen , Si Si , Zhao Meng , Felix Yu , Sai Surya Duvvuri , Inderjit S. Dhillon , Cho-Jui Hsieh , Sanjiv Kumar

Low-Rank Adaptation (LoRA) has proven effective in reducing computational costs while maintaining performance comparable to fully fine-tuned foundation models across various tasks. However, its fixed low-rank structure restricts its…

Computer Vision and Pattern Recognition · Computer Science 2025-07-02 Chuyan Zhang , Kefan Wang , Yun Gu

Low-rank adaptation (LoRA) assigns a uniform rank to every adapted weight matrix - a practical convenience that ignores a fundamental reality: different layers contribute unequally to task adaptation. We address this with a lightweight…

Machine Learning · Computer Science 2026-05-19 Ramakrishnan Sathyavageeswaran

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
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