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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

Low-rank adaptation (LoRA) reduces the computational and memory demands of fine-tuning large language models (LLMs) by approximating updates with low-rank matrices. However, low-rank approximation in two-dimensional space fails to capture…

Computation and Language · Computer Science 2024-12-31 Xiaolin Hu , Xiang Cheng , Peiyu Liu , Wei Liu , Jian Luan , Bin Wang , Yong Liu

Adapter-based methods have become a cost-effective approach to continual learning (CL) for Large Language Models (LLMs), by sequentially learning a low-rank update matrix for each task. To mitigate catastrophic forgetting, state-of-the-art…

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

Low-Rank Adaptation (LoRA) has emerged as a parameter-efficient approach for fine-tuning large language models. However, conventional LoRA adapters are typically trained for a single task, limiting their applicability in real-world settings…

Computation and Language · Computer Science 2026-04-21 Seungeon Lee , Soumi Das , Manish Gupta , Krishna P. Gummadi

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

Low-Rank Adaptation (LoRA) is the leading parameter-efficient fine-tuning method for Large Language Models (LLMs), but it still suffers from catastrophic forgetting. Recent work has shown that specialized LoRA initialization can alleviate…

Computation and Language · Computer Science 2026-01-13 Pengwei Tang , Xiaolin Hu , Yong Liu , Lizhong Ding , Dongjie Zhang , Xing Wu , Debing Zhang

To address data locality and privacy restrictions, Federated Learning (FL) has recently been adopted to fine-tune large language models (LLMs), enabling improved performance on various downstream tasks without requiring aggregated data.…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-11 Han Liu , Ruoyao Wen , Srijith Nair , Jia Liu , Wenjing Lou , Chongjie Zhang , William Yeoh , Yevgeniy Vorobeychik , Ning Zhang

Low-rank adapters (LoRAs) are a parameter-efficient finetuning technique that injects trainable low-rank matrices into pretrained models to adapt them to new tasks. Mixture-of-LoRAs models expand neural networks efficiently by routing each…

In recent years, Large Language Models (LLMs) through Transformer structures have dominated many machine learning tasks, especially text processing. However, these models require massive amounts of data for training and induce high resource…

Machine Learning · Computer Science 2025-04-17 Kilian Pfeiffer , Mohamed Aboelenien Ahmed , Ramin Khalili , Jörg Henkel

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

With the productive evolution of large language models (LLMs) in the field of natural language processing (NLP), tons of effort has been made to effectively fine-tune common pre-trained LLMs to fulfill a variety of tasks in one or multiple…

Computation and Language · Computer Science 2024-02-06 Chao Song , Zhihao Ye , Qiqiang Lin , Qiuying Peng , Jun Wang

Effective resource management plays a pivotal role in wireless networks, which, unfortunately, results in challenging mixed-integer nonlinear programming (MINLP) problems in most cases. Machine learning-based methods have recently emerged…

Signal Processing · Electrical Eng. & Systems 2019-05-17 Yifei Shen , Yuanming Shi , Jun Zhang , Khaled B. Letaief

Low-Rank Adaptation (LoRA) has emerged as a popular parameter-efficient fine-tuning (PEFT) method for Large Language Models (LLMs), yet it still incurs notable overhead and suffers from parameter interference in multi-task scenarios. We…

Machine Learning · Computer Science 2025-08-05 Juzheng Zhang , Jiacheng You , Ashwinee Panda , Tom Goldstein

Machine unlearning is an emerging technology that removes a subset of the training data from a trained model without significantly affecting the model performance on the remaining data. This topic is becoming increasingly important in…

Machine Learning · Computer Science 2026-05-12 Laiqiao Qin , Tianqing Zhu , Linlin Wang , Wanlei Zhou

Specializing large language models (LLMs) for local deployment in domain-specific use cases is necessary for strong performance while meeting latency and privacy constraints. However, conventional task-specific adaptation approaches do not…

Machine Learning · Computer Science 2024-12-20 Lanxiang Hu , Tajana Rosing , Hao Zhang

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

The performance of Large Language Models (LLMs) on many tasks is greatly limited by the knowledge learned during pre-training and stored in the model's parameters. Low-rank adaptation (LoRA) is a popular and efficient training technique for…

Computation and Language · Computer Science 2025-03-25 Sergey Pletenev , Maria Marina , Daniil Moskovskiy , Vasily Konovalov , Pavel Braslavski , Alexander Panchenko , Mikhail Salnikov

Adapting LLMs to specific stylistic characteristics, like brand voice or authorial tones, is crucial for enterprise communication but challenging to achieve from corpora which lacks instruction-response formatting without compromising…

Computation and Language · Computer Science 2025-07-25 Pritika Ramu , Apoorv Saxena , Meghanath M Y , Varsha Sankar , Debraj Basu

Recent advancements in Large Language Models (LLMs) have emphasized the critical role of fine-tuning (FT) techniques in adapting LLMs to specific tasks, especially when retraining from scratch is computationally infeasible. Fine-tuning…

Artificial Intelligence · Computer Science 2025-10-23 Xiao Han , Zimo Zhao , Wanyu Wang , Maolin Wang , Zitao Liu , Yi Chang , Xiangyu Zhao
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