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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

Fine-tuning is a crucial paradigm for adapting pre-trained large language models to downstream tasks. Recently, methods like Low-Rank Adaptation (LoRA) have been shown to effectively fine-tune LLMs with an extreme reduction in trainable…

Machine Learning · Computer Science 2025-10-23 Reece Shuttleworth , Jacob Andreas , Antonio Torralba , Pratyusha Sharma

Large-scale pretraining followed by task-specific finetuning has achieved great success in various NLP tasks. Since finetuning all parameters of large pretrained models poses substantial computational and memory challenges, several…

Computation and Language · Computer Science 2024-03-19 Ruiyi Zhang , Rushi Qiang , Sai Ashish Somayajula , Pengtao Xie

Fine-tuning has proven to be highly effective in adapting pre-trained models to perform better on new desired tasks with minimal data samples. Among the most widely used approaches are reparameterization methods, which update a target…

Machine Learning · Computer Science 2025-10-27 Aymane El Firdoussi , El Mahdi Chayti , Mohamed El Amine Seddik , Martin Jaggi

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 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

Efficient finetuning of large language models (LLMs) aims to adapt the LLMs with reduced computational and memory cost. Previous LoRA-based approaches initialize the low-rank matrices with Gaussian distribution and zero values while keeping…

Computation and Language · Computer Science 2025-03-04 Hanqing Wang , Yixia Li , Shuo Wang , Guanhua Chen , Yun Chen

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

Low-Rank Adaptation (LoRA) is a widely adopted parameter-efficient fine-tuning (PEFT) method. However, its linear adaptation process limits its expressive power. This means there is a gap between the expressive power of linear training and…

Machine Learning · Computer Science 2026-01-06 Jiacheng Li , Jianchao Tan , Zhidong Yang , Feiye Huo , Yerui Sun , Yuchen Xie , Xunliang Cai

Low-rank adaptation (LoRA) is one of the most popular task-specific parameter-efficient fine-tuning (PEFT) methods on pre-trained language models for its good performance and computational efficiency. LoRA injects a product of two trainable…

Machine Learning · Computer Science 2024-03-20 Youbang Sun , Zitao Li , Yaliang Li , Bolin Ding

This work revisits the classical low-rank matrix factorization problem and unveils the critical role of initialization in shaping convergence rates for such nonconvex and nonsmooth optimization. We introduce Nystrom initialization, which…

Machine Learning · Computer Science 2024-12-16 Bingcong Li , Liang Zhang , Aryan Mokhtari , Niao He

The growing scale of Large Language Models (LLMs) has necessitated the development of parameter-efficient fine-tuning techniques. Low-Rank Adaptation (LoRA) has emerged as a promising approach, reducing the number of trainable parameters by…

Machine Learning · Computer Science 2025-09-01 Jessica Liang , Anirudh Bharadwaj

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

Existing parameter-efficient fine-tuning (PEFT) methods primarily adapt weight matrices while keeping activation functions fixed. We introduce \textbf{NoRA}, the first PEFT framework that directly adapts nonlinear activation functions in…

Machine Learning · Computer Science 2025-09-19 Bo Yin , Xingyi Yang , Xinchao Wang

Due to the demand for efficient fine-tuning of large language models, Low-Rank Adaptation (LoRA) has been widely adopted as one of the most effective parameter-efficient fine-tuning methods. Nevertheless, while LoRA improves efficiency,…

Computation and Language · Computer Science 2025-06-13 Naibin Gu , Zhenyu Zhang , Xiyu Liu , Peng Fu , Zheng Lin , Shuohuan Wang , Yu Sun , Hua Wu , Weiping Wang , Haifeng Wang

Parameter-efficient fine-tuning (PEFT) methods, such as LoRA, offer compact and effective alternatives to full model fine-tuning by introducing low-rank updates to pre-trained weights. However, most existing approaches rely on global low…

Machine Learning · Computer Science 2025-09-25 Babak Barazandeh , Subhabrata Majumdar , Om Rajyaguru , George Michailidis

Low-rank adaptation of large models, particularly LoRA, has gained traction due to its computational efficiency. This efficiency, contrasted with the prohibitive costs of full-model fine-tuning, means that practitioners often turn to LoRA…

Machine Learning · Computer Science 2024-09-19 Zhoujie Ding , Ken Ziyu Liu , Pura Peetathawatchai , Berivan Isik , Sanmi Koyejo

Low-Rank Adaptation (LoRA) has significantly advanced parameter-efficient fine-tuning of large pretrained models. LoRA augments the pre-trained weights of a model by adding the product of two smaller matrices that together form a low-rank…

Artificial Intelligence · Computer Science 2025-07-09 David Bensaïd , Noam Rotstein , Roy Velich , Daniel Bensaïd , Ron Kimmel

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

QLoRA reduces the memory-cost of fine-tuning a large language model (LLM) with LoRA by quantizing the base LLM. However, quantization introduces quantization errors that negatively impact model performance after fine-tuning. In this paper…

Machine Learning · Computer Science 2024-10-22 Neal Lawton , Aishwarya Padmakumar , Judith Gaspers , Jack FitzGerald , Anoop Kumar , Greg Ver Steeg , Aram Galstyan