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Low-Rank Adaptation (LoRA) dominates parameter-efficient fine-tuning (PEFT). However, it faces a ``linear ceiling'': increasing the rank yields diminishing returns in expressive capacity due to intrinsic linear constraints. We introduce…

Machine Learning · Computer Science 2026-04-06 Hung-Hsuan Chen

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

While overparameterization in machine learning models offers great benefits in terms of optimization and generalization, it also leads to increased computational requirements as model sizes grow. In this work, we show that by leveraging the…

Machine Learning · Computer Science 2026-02-16 Can Yaras , Peng Wang , Laura Balzano , Qing Qu

As large language models (LLMs) continue to scale in size, the computational overhead has become a major bottleneck for task-specific fine-tuning. While low-rank adaptation (LoRA) effectively curtails this cost by confining the weight…

Machine Learning · Computer Science 2026-05-15 Yilang Zhang , Xiaodong Yang , Yiwei Cai , Georgios B. Giannakis

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

Low-rank adaptation (LoRA) and its variants are widely employed in fine-tuning large models, including large language models for natural language processing and diffusion models for computer vision. This paper proposes a generalized…

Computer Vision and Pattern Recognition · Computer Science 2024-03-19 Xiangyu Chen , Jing Liu , Ye Wang , Pu Perry Wang , Matthew Brand , Guanghui Wang , Toshiaki Koike-Akino

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

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

The prohibitive sizes of Large Language Models (LLMs) today make it difficult to deploy them on memory-constrained edge devices. This work introduces $\rm CALDERA$ -- a new post-training LLM compression algorithm that harnesses the inherent…

Machine Learning · Computer Science 2024-11-05 Rajarshi Saha , Naomi Sagan , Varun Srivastava , Andrea J. Goldsmith , Mert Pilanci

Fine-tuning is a crucial process for adapting large language models (LLMs) to diverse applications. In certain scenarios, such as multi-tenant serving, deploying multiple LLMs becomes necessary to meet complex demands. Recent studies…

Computation and Language · Computer Science 2024-11-27 Bowen Ping , Shuo Wang , Hanqing Wang , Xu Han , Yuzhuang Xu , Yukun Yan , Yun Chen , Baobao Chang , Zhiyuan Liu , Maosong Sun

There has been a significant increase in the deployment of neural network models, presenting substantial challenges in model adaptation and fine-tuning. Efficient adaptation is crucial in maintaining model performance across diverse tasks…

Machine Learning · Computer Science 2025-04-02 Maolin Wang , Xiangyu Zhao

Low Rank Adaptation (LoRA) is a popular Parameter Efficient Fine Tuning (PEFT) method that effectively adapts large pre-trained models for downstream tasks. LoRA parameterizes model updates using low-rank matrices at each layer,…

Computation and Language · Computer Science 2025-02-04 Ignacio Hounie , Charilaos Kanatsoulis , Arnuv Tandon , Alejandro Ribeiro

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

We introduce Tied-LoRA, a novel paradigm leveraging weight tying and selective training to enhance the parameter efficiency of Low-rank Adaptation (LoRA). Our exploration encompasses different plausible combinations of parameter training…

Computation and Language · Computer Science 2024-04-16 Adithya Renduchintala , Tugrul Konuk , Oleksii Kuchaiev

Fine-tuning large-scale pre-trained models is prohibitively expensive in terms of computation and memory costs. Low-Rank Adaptation (LoRA), a popular Parameter-Efficient Fine-Tuning (PEFT) method, offers an efficient solution by optimizing…

Machine Learning · Computer Science 2025-05-27 Tao Li , Zhengbao He , Yujun Li , Yasheng Wang , Lifeng Shang , Xiaolin Huang

Low-Rank Adaptation (LoRA) is a widely adopted parameter-efficient method for fine-tuning Large Langauge Models. It updates the weight matrix as $W=W_0+sBA$, where $W_0$ is the original frozen weight, $s$ is a scaling factor and $A$,$B$ are…

Machine Learning · Computer Science 2026-03-06 Yize Wu , Ke Gao , Ling Li , Yanjun Wu

Low-rank adaptation (LoRA) has achieved remarkable success in fine-tuning pre-trained vision transformers for various downstream tasks. Existing studies mainly focus on exploring more parameter-efficient strategies or more effective…

Computer Vision and Pattern Recognition · Computer Science 2026-01-01 Zheng Liu , Jinchao Zhu , Gao Huang

Finetuning large language models requires huge GPU memory, restricting the choice to acquire Larger models. While the quantized version of the Low-Rank Adaptation technique, named QLoRA, significantly alleviates this issue, finding the…

Despite large neural networks demonstrating remarkable abilities to complete different tasks, they require excessive memory usage to store the optimization states for training. To alleviate this, the low-rank adaptation (LoRA) is proposed…

Machine Learning · Computer Science 2024-06-14 Yongchang Hao , Yanshuai Cao , Lili Mou

Low-Rank Adaptation (LoRA) fine-tunes large models by learning low-rank updates on top of frozen weights, dramatically reducing trainable parameters and memory. However, there is still a gap between full training with low-rank projections…