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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) is a widely adopted parameter-efficient fine-tuning method for large language models. However, its linear nature limits expressiveness. We propose LoRAN, a non-linear extension of LoRA that applies lightweight…

Computation and Language · Computer Science 2025-09-29 Guanzhi Deng , Mingyang Liu , Dapeng Wu , Yinqiao Li , Linqi Song

The fine-tuning of Large Language Models (LLMs) has enabled them to recently achieve milestones in natural language processing applications. The emergence of ever larger LLMs has paved the way for more efficient fine-tuning methods. Among…

Computation and Language · Computer Science 2024-02-01 Christophe Tribes , Sacha Benarroch-Lelong , Peng Lu , Ivan Kobyzev

Low-Rank Adaptation (LoRA) has become the leading Parameter-Efficient Fine-Tuning (PEFT) method for Large Language Models (LLMs), as it significantly reduces GPU memory usage while maintaining competitive fine-tuned model quality on…

Machine Learning · Computer Science 2025-10-02 Zhanda Zhu , Qidong Su , Yaoyao Ding , Kevin Song , Shang Wang , Gennady Pekhimenko

In this paper, we introduce Symmetric Low-Rank Adapters, an optimized variant of LoRA with even fewer weights. This method utilizes Low-Rank Symmetric Weight Matrices to learn downstream tasks more efficiently. Traditional LoRA accumulates…

Machine Learning · Computer Science 2025-04-17 Tales Panoutsos , Rodrygo L. T. Santos , Flavio Figueiredo

Low-rank adaptation (LoRA) is a popular method for fine-tuning large-scale pre-trained models in downstream tasks by learning low-rank incremental matrices. Though LoRA and its variants effectively reduce the number of trainable parameters…

Machine Learning · Computer Science 2024-03-21 Rushi Qiang , Ruiyi Zhang , Pengtao Xie

Low Rank Adaptation (LoRA) is the de facto fine-tuning strategy to generate personalized images from pre-trained diffusion models. Choosing a good rank is extremely critical, since it trades off performance and memory consumption, but today…

Computer Vision and Pattern Recognition · Computer Science 2026-03-24 Donald Shenaj , Federico Errica , Antonio Carta

Low-Rank Adaptation (LoRA) has become the standard for fine-tuning large pre-trained models at reduced computational cost. However, its low-rank point-estimate updates limit expressiveness, leave a persistent gap relative to full…

Machine Learning · Computer Science 2026-05-12 Dario Coscia , Sindy Löwe , Max Welling

Low-Rank Adaptation (LoRA) is the prevailing approach for efficient large language model (LLM) fine-tuning. Building on this paradigm, recent studies have proposed alternative initialization strategies, architectural modifications, and…

Machine Learning · Computer Science 2026-05-20 Yu-Ang Lee , Ching-Yun Ko , Pin-Yu Chen , Mi-Yen Yeh

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

Low-Rank Adaptation (LoRA) offers a cost-effective solution for fine-tuning large language models (LLMs), but it often produces overconfident predictions in data-scarce few-shot settings. To address this issue, several classical statistical…

Machine Learning · Computer Science 2025-10-31 Amir Hossein Rahmati , Sanket Jantre , Weifeng Zhang , Yucheng Wang , Byung-Jun Yoon , Nathan M. Urban , Xiaoning Qian

This paper introduces Bayesian Hierarchical Low-Rank Adaption (BoRA), a novel method for finetuning multi-task Large Language Models (LLMs). Current finetuning approaches, such as Low-Rank Adaption (LoRA), perform exeptionally well in…

Machine Learning · Computer Science 2025-01-08 Simen Eide , Arnoldo Frigessi

The persistent challenge of medical image synthesis posed by the scarcity of annotated data and the need to synthesize `missing modalities' for multi-modal analysis, underscored the imperative development of effective synthesis methods.…

Computer Vision and Pattern Recognition · Computer Science 2024-08-15 Yuchen Mao , Hongwei Li , Wei Pang , Giorgos Papanastasiou , Guang Yang , Chengjia Wang

This work introduces reduced models based on Continuous Low Rank Adaptation (CoLoRA) that pre-train neural networks for a given partial differential equation and then continuously adapt low-rank weights in time to rapidly predict the…

Machine Learning · Computer Science 2024-07-23 Jules Berman , Benjamin Peherstorfer

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 emerged as a widely adopted approach for adapting large language models, yet the internal representational changes induced by LoRA fine-tuning remain insufficiently understood. In this work, we investigate the…

Machine Learning · Computer Science 2026-05-29 Prasanth K K

As large language models continue to grow in size, parameter-efficient fine-tuning (PEFT) has become increasingly crucial. While low-rank adaptation (LoRA) offers a solution through low-rank updates, its static rank allocation may yield…

Machine Learning · Computer Science 2025-04-14 Hao Nan Sheng , Zhi-yong Wang , Mingrui Yang , Hing Cheung So

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

Recently years have witnessed a rapid development of large language models (LLMs). Despite the strong ability in many language-understanding tasks, the heavy computational burden largely restricts the application of LLMs especially when one…

Machine Learning · Computer Science 2023-10-10 Yuhui Xu , Lingxi Xie , Xiaotao Gu , Xin Chen , Heng Chang , Hengheng Zhang , Zhengsu Chen , Xiaopeng Zhang , Qi Tian

Low-Rank Adaptation (LoRA) drives research to align its performance with full fine-tuning. However, significant challenges remain: (1) Simply increasing the rank size of LoRA does not effectively capture high-rank information, which leads…

Machine Learning · Computer Science 2024-10-21 Chuanyu Tang , Yilong Chen , Zhenyu Zhang , Junyuan Shang , Wenyuan Zhang , Yong Huang , Tingwen Liu