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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

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

It is a common practice in natural language processing to pre-train a single model on a general domain and then fine-tune it for downstream tasks. However, when it comes to Large Language Models, fine-tuning the entire model can be…

Artificial Intelligence · Computer Science 2024-10-29 Cristian Meo , Ksenia Sycheva , Anirudh Goyal , Justin Dauwels

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

Fine-tuning large-scale pretrained models is prohibitively expensive in terms of computational and memory costs. LoRA, as one of the most popular Parameter-Efficient Fine-Tuning (PEFT) methods, offers a cost-effective alternative by…

Machine Learning · Computer Science 2024-07-17 Shaowen Wang , Linxi Yu , Jian Li

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

Large Language Models have shown remarkable capabilities in the NLP domain. Their effectiveness can mainly be attributed to their ability to adapt to an array of downstream tasks. However, generally, full fine-tuning is a computationally…

Computation and Language · Computer Science 2025-06-10 Harsh Bihany , Shubham Patel , Ashutosh Modi

Parameter-efficient tuning (PEFT) techniques like low-rank adaptation (LoRA) offer training efficiency on Large Language Models, but their impact on model performance remains limited. Recent efforts integrate LoRA and Mixture-of-Experts…

Computation and Language · Computer Science 2024-02-14 Chongyang Gao , Kezhen Chen , Jinmeng Rao , Baochen Sun , Ruibo Liu , Daiyi Peng , Yawen Zhang , Xiaoyuan Guo , Jie Yang , VS Subrahmanian

Large language models demonstrate impressive proficiency in language understanding and generation. Nonetheless, training these models from scratch, even the least complex billion-parameter variant demands significant computational resources…

Artificial Intelligence · Computer Science 2025-01-10 Danyal Aftab , Steven Davy

While Large Language Models (LLMs) have revolutionized artificial intelligence, fine-tuning LLMs is extraordinarily computationally expensive, preventing smaller businesses and research teams with limited GPU resources from engaging with…

Machine Learning · Computer Science 2025-08-26 Daniel Frees , Aditri Bhagirath , Moritz Bolling

Low-rank adaptation (LoRA) is a parameter-efficient fine-tuning (PEFT) method widely used in large language models (LLMs). LoRA essentially describes the projection of an input space into a low-dimensional output space, with the…

Computation and Language · Computer Science 2025-10-28 Shiwei Li , Xiandi Luo , Haozhao Wang , Xing Tang , Ziqiang Cui , Dugang Liu , Yuhua Li , Xiuqiang He , Ruixuan Li

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

Fine-tuning pre-trained large language models in a parameter-efficient manner is widely studied for its effectiveness and efficiency. The popular method of low-rank adaptation (LoRA) offers a notable approach, hypothesizing that the…

Computation and Language · Computer Science 2023-11-21 Ning Ding , Xingtai Lv , Qiaosen Wang , Yulin Chen , Bowen Zhou , Zhiyuan Liu , Maosong Sun

Low-rank adaptation (LoRA) has been prominently employed for parameter-efficient fine-tuning of large language models (LLMs). However, the limited expressive capacity of LoRA, stemming from the low-rank constraint, has been recognized as a…

Computation and Language · Computer Science 2025-03-18 Zhiwei He , Zhaopeng Tu , Xing Wang , Xingyu Chen , Zhijie Wang , Jiahao Xu , Tian Liang , Wenxiang Jiao , Zhuosheng Zhang , Rui Wang

The machine learning community has witnessed impressive advancements since large language models (LLMs) first appeared. Yet, their massive memory consumption has become a significant roadblock to large-scale training. For instance, a 7B…

Machine Learning · Computer Science 2024-12-30 Rui Pan , Xiang Liu , Shizhe Diao , Renjie Pi , Jipeng Zhang , Chi Han , Tong Zhang

Low-rank adaptation is a popular parameter-efficient fine-tuning method for large language models. In this paper, we analyze the impact of low-rank updating, as implemented in LoRA. Our findings suggest that the low-rank updating mechanism…

Computation and Language · Computer Science 2024-05-21 Ting Jiang , Shaohan Huang , Shengyue Luo , Zihan Zhang , Haizhen Huang , Furu Wei , Weiwei Deng , Feng Sun , Qi Zhang , Deqing Wang , Fuzhen Zhuang

Fine-tuning large language models (LLMs) is crucial for improving their performance on downstream tasks, but full-parameter fine-tuning (Full-FT) is computationally expensive and memory-intensive. Parameter-efficient fine-tuning (PEFT)…

Computation and Language · Computer Science 2026-05-12 Longteng Zhang , Lin Zhang , Shaohuai Shi , Xiaowen Chu , Bo Li

The growing scale of Large Language Models (LLMs) has necessitated the development of parameter-efficient fine-tuning techniques. Low-Rank Adaptation (LoRA) has emerged as a promising approach, reducing the number of trainable parameters by…

Machine Learning · Computer Science 2025-09-01 Jessica Liang , Anirudh Bharadwaj

While Low-Rank Adaptation (LoRA) has proven beneficial for efficiently fine-tuning large models, LoRA fine-tuned text-to-image diffusion models lack diversity in the generated images, as the model tends to copy data from the observed…

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