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This paper develops a new perspective on parameter-efficient fine-tuning (PEFT) for LLMs, inspired by classical subspace minimization. We introduce a unifying framework, Parameter-Efficient Subspace Optimization (PESO), which recovers…

Optimization and Control · Mathematics 2026-02-12 Yuchen Lou , Zeqi Ye , Minshuo Chen

Parameter-efficient fine-tuning (PEFT) has emerged as a powerful paradigm for adapting large-scale pre-trained models to downstream tasks with minimal additional parameters. Among PEFT methods, Low-Rank Adaptation (LoRA) stands out for its…

Machine Learning · Computer Science 2026-02-03 Nghiem T. Diep , Dung Le , Tuan Truong , Tan Dinh , Huy Nguyen , Nhat Ho

LoRA and its variants have become popular parameter-efficient fine-tuning (PEFT) methods due to their ability to avoid excessive computational costs. However, an accuracy gap often exists between PEFT methods and full fine-tuning (FT), and…

Computation and Language · Computer Science 2025-05-20 Haoze He , Juncheng Billy Li , Xuan Jiang , Heather Miller

We present a data-adaptive method for parameter-efficient fine-tuning of large neural networks. Standard low-rank adaptation methods improve efficiency by restricting each layer update to a fixed low-rank form, but this static…

Machine Learning · Computer Science 2026-05-12 Omatharv Bharat Vaidya , Connor T. Jerzak , Nhat Ho , Chandrajit Bajaj

Parameter-efficient fine-tuning (PEFT) methods have emerged as a practical solution for adapting large foundation models to downstream tasks, reducing computational and memory costs by updating only a small subset of parameters. Among them,…

Machine Learning · Computer Science 2025-12-30 Guoan Wan , Tianyu Chen , Fangzheng Feng , Haoyi Zhou , Runhua Xu

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 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

Adapting deep learning models to new domains often requires computationally intensive retraining and risks catastrophic forgetting. While fine-tuning enables domain-specific adaptation, it can reduce robustness to distribution shifts,…

Computer Vision and Pattern Recognition · Computer Science 2025-01-28 Reza Akbarian Bafghi , Carden Bagwell , Avinash Ravichandran , Ashish Shrivastava , Maziar Raissi

Transformer-based, pre-trained large language models (LLMs) have demonstrated outstanding performance across diverse domains, particularly in the emerging {\em pretrain-then-finetune} paradigm. Low-Rank Adaptation (LoRA), a…

Machine Learning · Computer Science 2024-09-19 Zhengmao Ye , Dengchun Li , Zetao Hu , Tingfeng Lan , Jian Sha , Sicong Zhang , Lei Duan , Jie Zuo , Hui Lu , Yuanchun Zhou , Mingjie Tang

Large Language Models (LLMs) are highly resource-intensive to fine-tune due to their enormous size. While low-rank adaptation is a prominent parameter-efficient fine-tuning approach, it suffers from sensitivity to hyperparameter choices,…

Fine-tuning is the primary methodology for tailoring pre-trained large language models to specific tasks. As the model's scale and the diversity of tasks expand, parameter-efficient fine-tuning methods are of paramount importance. One of…

Machine Learning · Computer Science 2024-01-10 Wenhan Xia , Chengwei Qin , Elad Hazan

Parameter-Efficient Fine-Tuning (PEFT) techniques, particularly Low-Rank Adaptation (LoRA), have become essential for adapting Large Language Models (LLMs) to downstream tasks. While the recent FlyLoRA framework successfully leverages…

Machine Learning · Computer Science 2026-03-16 Yuxin Yang , Haoran Zhang , Mingxuan Li , Jiachen Xu , Ruoxi Shen , Zhenyu Wang , Tianhao Liu , Siqi Chen , Weilin Huang

While parameter-efficient fine-tuning (PEFT) techniques like Low-Rank Adaptation (LoRA) offer computationally efficient adaptations of Large Language Models (LLMs), their practical deployment often assumes centralized data and training…

Machine Learning · Computer Science 2025-08-25 Sajjad Ghiasvand , Mahnoosh Alizadeh , Ramtin Pedarsani

In recent years, Large Language Models (LLMs) have demonstrated remarkable capabilities across a wide range of natural language processing (NLP) tasks, such as question-answering, sentiment analysis, text summarization, and machine…

Machine Learning · Computer Science 2024-08-05 Afia Anjum , Maksim E. Eren , Ismael Boureima , Boian Alexandrov , Manish Bhattarai

Post-training has become essential for adapting large language models (LLMs) to complex downstream behaviors, including instruction following, preference alignment, and multi-step reasoning. Reinforcement learning with verifiable rewards…

Machine Learning · Computer Science 2026-05-20 Chengqian Zhang , Wei Zhu , Kyumin Lee

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

Despite the dominance and effectiveness of scaling, resulting in large networks with hundreds of billions of parameters, the necessity to train overparameterized models remains poorly understood, while training costs grow exponentially. In…

Computation and Language · Computer Science 2023-12-12 Vladislav Lialin , Namrata Shivagunde , Sherin Muckatira , Anna Rumshisky

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

With the increasing number of parameters in large pre-trained models, LoRA as a parameter-efficient fine-tuning(PEFT) method is widely used for not adding inference overhead. The LoRA method assumes that weight changes during fine-tuning…

Machine Learning · Computer Science 2024-08-07 Jihao Gu , Shuai Chen , Zelin Wang , Yibo Zhang , Ping Gong

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