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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) has emerged as the de facto standard for parameter-efficient fine-tuning (PEFT) of foundation models, enabling the adaptation of billion-parameter networks with minimal computational and memory overhead. Despite…

Machine Learning · Computer Science 2026-04-24 Bingcong Li , Yilang Zhang , Georgios B. Giannakis

Fine-tuning large language models (LLMs) is computationally intensive because it requires updating all parameters. Low-Rank Adaptation (LoRA) improves efficiency by modifying only a subset of weights but introduces a trade-off between…

Machine Learning · Computer Science 2024-12-19 Abdessalam Ed-dib , Zhanibek Datbayev , Amine Mohamed Aboussalah

In this paper, we present Delta-LoRA, which is a novel parameter-efficient approach to fine-tune large language models (LLMs). In contrast to LoRA and other low-rank adaptation methods such as AdaLoRA, Delta-LoRA not only updates the…

Machine Learning · Computer Science 2023-09-06 Bojia Zi , Xianbiao Qi , Lingzhi Wang , Jianan Wang , Kam-Fai Wong , Lei Zhang

Fine-tuning pre-trained large language models in a parameter-efficient manner is widely studied for its effectiveness and efficiency. LoRA is one of the most widely used methods, which assumes that the optimization process is essentially…

Computation and Language · Computer Science 2024-12-16 Changqun Li , Chaofan Ding , Kexin Luan , Xinhan Di

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

With the increasing size of pre-trained language models (PLMs), fine-tuning all the parameters in the model is not efficient, especially when there are a large number of downstream tasks, which incur significant training and storage costs.…

Computation and Language · Computer Science 2023-08-24 Feiyu Zhang , Liangzhi Li , Junhao Chen , Zhouqiang Jiang , Bowen Wang , Yiming Qian

We present a novel Parameter-Efficient Fine-Tuning (PEFT) method, dubbed as Adaptive Freezing of Low Rank Adaptation (AFLoRA). Specifically, for each pre-trained frozen weight tensor, we add a parallel path of trainable low-rank matrices,…

Computation and Language · Computer Science 2024-04-17 Zeyu Liu , Souvik Kundu , Anni Li , Junrui Wan , Lianghao Jiang , Peter Anthony Beerel

Low-rank adaptation (LoRA) has been developed as an efficient approach for adapting large language models (LLMs) by fine-tuning two low-rank matrices, thereby reducing the number of trainable parameters. However, prior research indicates…

Computation and Language · Computer Science 2026-04-13 Lin Mu , Xiaoyu Wang , Li Ni , Yang Li , Zhize Wu , Peiquan Jin , Yiwen Zhang

Low-rank adapation (LoRA) is a popular method that reduces the number of trainable parameters when finetuning large language models, but still faces acute storage challenges when scaling to even larger models or deploying numerous per-user…

Computation and Language · Computer Science 2024-01-17 Dawid J. Kopiczko , Tijmen Blankevoort , Yuki M. Asano

Parameter-Efficient Fine-Tuning (PEFT) has become an essential approach for adapting large-scale pre-trained models while reducing computational costs. Among PEFT methods, LoRA significantly reduces trainable parameters by decomposing…

Computation and Language · Computer Science 2025-03-31 Jiancheng Zhao , Xingda Yu , Zhen Yang

Parameter-efficient fine-tuning methods, such as LoRA, reduces the number of trainable parameters. However, they often suffer from scalability issues and differences between their learning pattern and full fine-tuning. To overcome these…

Machine Learning · Computer Science 2025-01-22 Hamid Nasiri , Peter Garraghan

Fine-tuning adapts a pre-trained model to downstream tasks using a small amount of labeled data. Low-Rank Adaptation (LoRA) is an efficient fine-tuning method that reduces memory and computation costs while often achieving performance close…

Machine Learning · Computer Science 2026-05-20 Ali Zindari , Rotem Mulayoff , Sebastian U. Stich

With the rapid development of Large Language Models (LLMs), Parameter-Efficient Fine-Tuning (PEFT) methods have gained significant attention, which aims to achieve efficient fine-tuning of LLMs with fewer parameters. As a representative…

Machine Learning · Computer Science 2025-05-30 Dacao Zhang , Kun Zhang , Shimao Chu , Le Wu , Xin Li , Si Wei

LoRA-based large model parameter-efficient fine-tuning (PEFT) methods use low-rank de- composition to approximate updates to model parameters. However, compared to full- parameter fine-tuning, low-rank updates often lead to a performance…

Computation and Language · Computer Science 2025-08-26 Haojie Zhang

Parameter-Efficient Fine-Tuning (PEFT) methods have transformed the approach to fine-tuning large models for downstream tasks by enabling the adjustment of significantly fewer parameters than those in the original model matrices. In this…

Computer Vision and Pattern Recognition · Computer Science 2025-03-12 Alessio Quercia , Zhuo Cao , Arya Bangun , Richard D. Paul , Abigail Morrison , Ira Assent , Hanno Scharr

In this paper, we show that Low Rank Adaptation (LoRA) as originally introduced in Hu et al. (2021) leads to suboptimal finetuning of models with large width (embedding dimension). This is due to the fact that adapter matrices A and B in…

Machine Learning · Computer Science 2024-07-08 Soufiane Hayou , Nikhil Ghosh , Bin Yu

An important paradigm of natural language processing consists of large-scale pre-training on general domain data and adaptation to particular tasks or domains. As we pre-train larger models, full fine-tuning, which retrains all model…

Computation and Language · Computer Science 2021-10-19 Edward J. Hu , Yelong Shen , Phillip Wallis , Zeyuan Allen-Zhu , Yuanzhi Li , Shean Wang , Lu Wang , Weizhu Chen

Low-Rank Adaptation (LoRA) has become a widely adopted parameter-efficient fine-tuning method for large language models, with its effectiveness largely influenced by the allocation of ranks and scaling factors, as well as initialization.…

Computation and Language · Computer Science 2026-04-21 Weicheng Lin , Yi Zhang , Jiawei Dang , Liang-Jie Zhang

Large pre-trained models are commonly adapted to downstream tasks using parameter-efficient fine-tuning methods such as Low-Rank Adaptation (LoRA), which injects small trainable low-rank matrices instead of updating all weights. While LoRA…

Machine Learning · Computer Science 2026-03-10 Nurbek Tastan , Stefanos Laskaridis , Martin Takac , Karthik Nandakumar , Samuel Horvath