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Low-rank Adaption (LoRA) has been the de-facto parameter-efficient fine-tuning technique for large language models. We present HeteroLoRA, a light-weight search algorithm that leverages zero-cost proxies to allocate the limited LoRA…

Machine Learning · Computer Science 2024-06-24 Zixi Zhang , Cheng Zhang , Xitong Gao , Robert D. Mullins , George A. Constantinides , Yiren Zhao

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

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

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

Low-Rank Adaptation (LoRA) has become a widely used method for parameter-efficient fine-tuning of large-scale, pre-trained neural networks. However, LoRA and its extensions face several challenges, including the need for rank adaptivity,…

Machine Learning · Computer Science 2024-10-25 Steffen Schotthöfer , Emanuele Zangrando , Gianluca Ceruti , Francesco Tudisco , Jonas Kusch

In this work, we propose norm-bounded low-rank adaptation (NB-LoRA) for parameter-efficient fine tuning. NB-LoRA is a novel parameterization of low-rank weight adaptations that admits explicit bounds on each singular value of the adaptation…

Machine Learning · Computer Science 2025-09-30 Ruigang Wang , Krishnamurthy Dvijotham , Ian R. Manchester

Fine-tuning large language models (LLMs) is crucial for improving their performance on downstream tasks, but full-parameter fine-tuning (Full-FT) is computationally expensive and memory-intensive. Parameter-efficient fine-tuning (PEFT)…

Computation and Language · Computer Science 2026-05-12 Longteng Zhang , Lin Zhang , Shaohuai Shi , Xiaowen Chu , Bo Li

Fine-tuning large language models can improve task specific performance, although a general understanding of what the fine-tuned model has learned, forgotten and how to trust its predictions is still missing. We derive principled…

Machine Learning · Computer Science 2025-05-22 Oleksandr Balabanov , Hampus Linander

Low-Rank Adaptation (LoRA) is a widely used finetuning method for large models. Its small memory footprint allows practitioners to adapt large models to specific tasks at a fraction of the cost of full finetuning. Different modifications…

Machine Learning · Computer Science 2025-06-26 Soufiane Hayou , Nikhil Ghosh , Bin Yu

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

Adapting large language models (LLMs) to downstream tasks via full fine-tuning is increasingly impractical due to its computational and memory demands. Parameter-efficient fine-tuning (PEFT) approaches such as Low-Rank Adaptation (LoRA)…

Machine Learning · Computer Science 2026-05-19 Jing Gao , Zhong-Yi Lu , Pan Zhang , Ze-Feng Gao

As advancements in large language models (LLMs) continue and the demand for personalized models increases, parameter-efficient fine-tuning (PEFT) methods (e.g., LoRA) will become essential due to their efficiency in reducing computation…

Machine Learning · Computer Science 2025-01-06 Mingjie Li , Wai Man Si , Michael Backes , Yang Zhang , Yisen 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

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

This study proposes a large language model optimization method based on the improved LoRA fine-tuning algorithm, aiming to improve the accuracy and computational efficiency of the model in natural language processing tasks. We fine-tune the…

Computation and Language · Computer Science 2024-12-30 Jiacheng Hu , Xiaoxuan Liao , Jia Gao , Zhen Qi , Hongye Zheng , Chihang Wang

Low Rank Adaptation (LoRA) has emerged as one of the most widely adopted methods for Parameter Efficient Fine-Tuning (PEFT) of Large Language Models (LLMs). LoRA reduces the number of trainable parameters and memory usage while achieving…

Computation and Language · Computer Science 2024-05-03 Justin Zhao , Timothy Wang , Wael Abid , Geoffrey Angus , Arnav Garg , Jeffery Kinnison , Alex Sherstinsky , Piero Molino , Travis Addair , Devvret Rishi

This paper explores how theory can guide and enhance practical algorithms, using Low-Rank Adaptation (LoRA, Hu et al. 2022) in large language models as a case study. We rigorously prove that, under gradient descent, LoRA adapters align with…

Machine Learning · Statistics 2025-06-24 Yuanhe Zhang , Fanghui Liu , Yudong Chen

Low-rank adaptation (LoRA) is a parameter-efficient fine-tuning (PEFT) method widely used in large language models (LLMs). LoRA essentially describes the projection of an input space into a low-dimensional output space, with the…

Computation and Language · Computer Science 2025-10-28 Shiwei Li , Xiandi Luo , Haozhao Wang , Xing Tang , Ziqiang Cui , Dugang Liu , Yuhua Li , Xiuqiang He , Ruixuan Li

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

Low-Rank Adaptation (LoRA) is widely used for parameter-efficient fine-tuning of large language models, but it is notably ineffective at removing backdoor behaviors from poisoned pretrained models when fine-tuning on clean dataset. Contrary…

Computation and Language · Computer Science 2026-01-13 Hoang-Chau Luong , Lingwei Chen
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