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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

In this paper, we introduce Nested Low-Rank Adaptation (NoRA), a novel approach to parameter-efficient fine-tuning that extends the capabilities of Low-Rank Adaptation (LoRA) techniques. Vanilla LoRA overlooks pre-trained weight inheritance…

Machine Learning · Computer Science 2024-08-28 Cheng Lin , Lujun Li , Dezhi Li , Jie Zou , Wei Xue , Yike Guo

Parameter-efficient fine-tuning methods like Low-Rank Adaptation (LoRA) have become essential for deploying large language models, yet their static parameter allocation remains suboptimal for inputs of varying complexity. We present…

Machine Learning · Computer Science 2026-05-05 Zongqian Li , Yixuan Su , Han Zhou , Zihao Fu , Nigel Collier

Low-rank adaptation (LoRA) is a natural method for finetuning in communication-constrained machine learning settings such as cross-device federated learning. Prior work that has studied LoRA in the context of federated learning has focused…

Machine Learning · Computer Science 2024-06-11 Kevin Kuo , Arian Raje , Kousik Rajesh , Virginia Smith

Continual Learning (CL) with foundation models has recently emerged as a promising paradigm to exploit abundant knowledge acquired during pre-training for tackling sequential tasks. However, existing prompt-based and Low-Rank…

Machine Learning · Computer Science 2025-03-10 Yichen Wu , Hongming Piao , Long-Kai Huang , Renzhen Wang , Wanhua Li , Hanspeter Pfister , Deyu Meng , Kede Ma , Ying Wei

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) 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 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

Despite recent advances in photorealistic image generation through large-scale models like FLUX and Stable Diffusion v3, the practical deployment of these architectures remains constrained by their inherent intractability to parameter…

Computer Vision and Pattern Recognition · Computer Science 2025-08-05 Zhiwen Li , Zhongjie Duan , Die Chen , Cen Chen , Daoyuan Chen , Yaliang Li , Yingda Chen

With the rapid scaling of large language models (LLMs), serving numerous low-rank adaptations (LoRAs) concurrently has become increasingly impractical, leading to unaffordable costs and necessitating more parameter-efficient finetuning…

Machine Learning · Computer Science 2024-05-28 Sheng Wang , Boyang Xue , Jiacheng Ye , Jiyue Jiang , Liheng Chen , Lingpeng Kong , Chuan Wu

Low-Rank Adaptation (LoRA) is a widely adopted parameter-efficient fine-tuning (PEFT) method validated across NLP and CV domains. However, LoRA faces an inherent low-rank bottleneck: narrowing its performance gap with full finetuning…

Machine Learning · Computer Science 2025-12-03 Haonan Dong , Wenhao Zhu , Guojie Song , Liang Wang

Multi-task learning (MTL) benefits the fine-tuning of large language models (LLMs) by providing a single model with improved performance and generalization ability across tasks, presenting a resource-efficient alternative to developing…

Computation and Language · Computer Science 2024-10-29 Zi Gong , Hang Yu , Cong Liao , Bingchang Liu , Chaoyu Chen , Jianguo Li

We propose TLoRA, a novel tri-matrix low-rank adaptation method that decomposes weight updates into three matrices: two fixed random matrices and one trainable matrix, combined with a learnable, layer-wise scaling factor. This tri-matrix…

Machine Learning · Computer Science 2025-12-02 Tanvir Islam

Low-Rank Adaptation (LoRA) is a widely adopted parameter-efficient fine-tuning (PEFT) method that injects two trainable low-rank matrices (A and B) into frozen pretrained models. While efficient, LoRA constrains updates to a fixed low-rank…

Computer Vision and Pattern Recognition · Computer Science 2025-05-20 Haodong Yang , Lei Wang , Md Zakir Hossain

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

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) 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

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

Low-Rank Adaptation (LoRA) is widely used for adapting large language models (LLMs) to specific domains due to its efficiency and modularity. Meanwhile, vanilla LoRA struggles with task conflicts in multi-task scenarios. Recent works adopt…

Machine Learning · Computer Science 2025-06-23 Ziyu Zhao , Yixiao Zhou , Zhi Zhang , Didi Zhu , Tao Shen , Zexi Li , Jinluan Yang , Xuwu Wang , Jing Su , Kun Kuang , Zhongyu Wei , Fei Wu , Yu Cheng

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