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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

Low-rank adaptation (LoRA) approximates the update of a pretrained weight matrix using the product of two low-rank matrices. However, standard LoRA follows an explicit-rank paradigm, where increasing model capacity requires adding more rows…

Artificial Intelligence · Computer Science 2026-05-20 Yihao Ouyang , Shiwei Li , Haozhao Wang , Xiandi Luo , Zhuoqi Hu , Yuetong Song , Qiyu Qin , Yichen Li , Ruixuan Li

Large Language Models (LLMs) are driving advancements in artificial intelligence by increasing the scale of model parameters, which has significantly enhanced generalization ability and unlocked new capabilities in practice. However, their…

Artificial Intelligence · Computer Science 2025-10-20 Chenxing Wei , Yao Shu , Ying Tiffany He , Fei Richard Yu

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

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 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

Parameter-efficient fine-tuning optimizes large, pre-trained foundation models by updating a subset of parameters; in this class, Low-Rank Adaptation (LoRA) is particularly effective. Inspired by an effort to investigate the different roles…

This paper introduces Standard Basis LoRA (SBoRA), a novel parameter-efficient fine-tuning approach for Large Language Models that builds upon the pioneering works of Low-Rank Adaptation (LoRA) and Orthogonal Adaptation. SBoRA reduces the…

Artificial Intelligence · Computer Science 2024-10-10 Lai-Man Po , Yuyang Liu , Haoxuan Wu , Tianqi Zhang , Wing-Yin Yu , Zhuohan Wang , Zeyu Jiang , Kun Li

Low-Rank Adaptation (LoRA) has gained popularity for fine-tuning large foundation models, leveraging low-rank matrices $\mathbf{A}$ and $\mathbf{B}$ to represent weight changes (i.e., $\Delta \mathbf{W} = \mathbf{B} \mathbf{A}$). This…

Machine Learning · Computer Science 2025-07-02 Aochuan Chen , Jiashun Cheng , Zijing Liu , Ziqi Gao , Fugee Tsung , Yu Li , Jia Li

Low-rank adaptation (LoRA) enables parameter efficient specialization of large language models (LLMs) through modular adapters, resulting in rapidly growing public adapter pools spanning diverse tasks. Effectively using these adapters…

Machine Learning · Computer Science 2026-02-02 Akash Dhasade , Anne-Marie Kermarrec , Igor Pavlovic , Diana Petrescu , Rafael Pires , Mathis Randl , Martijn de Vos

Parameter-efficient fine-tuning (PEFT) is widely studied for its effectiveness and efficiency in the era of large language models. Low-rank adaptation (LoRA) has demonstrated commendable performance as a popular and representative method.…

Computation and Language · Computer Science 2024-04-16 Zequan Liu , Jiawen Lyn , Wei Zhu , Xing Tian , Yvette Graham

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

Parameter-efficient fine-tuning methods have gained considerable popularity for adapting large-scale models to downstream tasks, particularly LoRA and its variants. Existing methods perform low-rank adaptation over the full parameter space.…

Computer Vision and Pattern Recognition · Computer Science 2025-12-19 Yi Zhang , Yulei Kang , Haoxuan Chen , Jinxuan Li , Jian-Fang Hu

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

Large Language Models (LLMs) demonstrate exceptional performance across various tasks but demand substantial computational resources even for fine-tuning computation. Although Low-Rank Adaptation (LoRA) significantly alleviates memory…

Machine Learning · Computer Science 2025-02-04 Guanduo Chen , Yutong He , Yipeng Hu , Kun Yuan , Binhang Yuan

In order to streamline the fine-tuning of foundation models, Low-Rank Adapters (LoRAs) have been substantially adopted across various fields, including instruction tuning and domain adaptation. The underlying concept of LoRA involves…

Machine Learning · Computer Science 2025-02-25 Mengyang Sun , Yihao Wang , Tao Feng , Dan Zhang , Yifan Zhu , Jie Tang

The rapid development of parameter-efficient fine-tuning methods has noticeably improved the efficiency of adapting large language models. Among these, LoRA has gained widespread popularity due to its strong balance of effectiveness and…

Machine Learning · Computer Science 2026-01-15 Yongfu Xue

With the increasing size of pre-trained language models (PLMs), fine-tuning all the parameters in the model is not efficient, especially when there are a large number of downstream tasks, which incur significant training and storage costs.…

Computation and Language · Computer Science 2023-08-24 Feiyu Zhang , Liangzhi Li , Junhao Chen , Zhouqiang Jiang , Bowen Wang , Yiming Qian

LoRA-based large model parameter-efficient fine-tuning (PEFT) methods use low-rank de- composition to approximate updates to model parameters. However, compared to full- parameter fine-tuning, low-rank updates often lead to a performance…

Computation and Language · Computer Science 2025-08-26 Haojie Zhang

Training large models ranging from millions to billions of parameters is highly resource-intensive, requiring significant time, compute, and memory. It is observed that most of the learning (higher change in weights) takes place in the…

Machine Learning · Computer Science 2026-03-16 Krishu K Thapa , Reet Barik , Krishna Teja Chitty-Venkata , Murali Emani , Venkatram Vishwanath