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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

Previous empirical studies have shown that LoRA achieves accuracy comparable to full-parameter methods on downstream fine-tuning tasks, even for rank-1 updates. By contrast, the theoretical underpinnings of the dependence of LoRA's accuracy…

Machine Learning · Computer Science 2026-02-12 Michael Rushka , Diego Klabjan

Recent advances in large language models (LLMs) highlight the importance of post training techniques for improving reasoning and mathematical ability. Group Relative Policy Optimization (GRPO) has shown promise in this domain by combining…

Machine Learning · Computer Science 2026-03-20 Gabriele Carrino , Andrea Sassella , Nicolo Brunello , Federico Toschi , Mark James Carman

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

Recent literature on fine-tuning Large Language Models highlights a fundamental debate. While Full Fine-Tuning (FFT) provides the representational plasticity required for high-entropy knowledge injection, Low-Rank Adaptation (LoRA) can…

Computation and Language · Computer Science 2026-05-19 Haozhan Tang , Xiuqi Zhu , Xinyin Zhang , Boxun Li , Virginia Smith , Kevin Kuo

We investigate a fundamental structural question in Grouped Query Attention (GQA) transformers: do the layers most sensitive to task correctness coincide with the layers where positional encoding adaptation has the greatest leverage? We…

Computation and Language · Computer Science 2026-04-10 Manoj Chandrashekar Rao

Classifying Non-Functional Requirements (NFRs) in software development life cycle is critical. Inspired by the theory of transfer learning, researchers apply powerful pre-trained models for NFR classification. However, full fine-tuning by…

Software Engineering · Computer Science 2025-03-12 Xia Li , Allen Kim

Group Relative Policy Optimisation (GRPO) enhances large language models by estimating advantages across a group of sampled trajectories. However, mapping these trajectory-level advantages to policy updates requires aggregating token-level…

Low-Rank Adaptation (LoRA) has emerged as a widely adopted parameter-efficient fine-tuning (PEFT) technique for foundation models. Recent work has highlighted an inherent asymmetry in the initialization of LoRA's low-rank factors, which has…

Machine Learning · Statistics 2025-06-18 Anastasis Kratsios , Tin Sum Cheng , Aurelien Lucchi , Haitz Sáez de Ocáriz Borde

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

Low-Rank Adaptation (LoRA) is currently the most commonly used Parameter-efficient fine-tuning (PEFT) method, it introduces auxiliary parameters for each layer to fine-tune the pre-trained model under limited computing resources. However,…

Machine Learning · Computer Science 2024-06-19 Hongyun Zhou , Xiangyu Lu , Wang Xu , Conghui Zhu , Tiejun Zhao , Muyun Yang

Low-Rank Adaptation (LoRA) has become a widely used method for parameter-efficient fine-tuning of large-scale, pre-trained neural networks. However, LoRA and its extensions face several challenges, including the need for rank adaptivity,…

Machine Learning · Computer Science 2024-10-25 Steffen Schotthöfer , Emanuele Zangrando , Gianluca Ceruti , Francesco Tudisco , Jonas Kusch

Low-rank adaptation (LoRA) has become a widely used paradigm for parameter-efficient fine-tuning of large language models, yet its representational capacity often lags behind full fine-tuning. Within the context of LoRA, a key open question…

Machine Learning · Computer Science 2025-11-04 Xin Yu , Cong Xie , Ziyu Zhao , Tiantian Fan , Lingzhou Xue , Zhi Zhang

Low-Rank Adaptation (LoRA) has significantly advanced parameter-efficient fine-tuning of large pretrained models. LoRA augments the pre-trained weights of a model by adding the product of two smaller matrices that together form a low-rank…

Artificial Intelligence · Computer Science 2025-07-09 David Bensaïd , Noam Rotstein , Roy Velich , Daniel Bensaïd , Ron Kimmel

Reinforcement learning with verifiable rewards (RLVR) has become a practical route to improve large language model reasoning, and Group Relative Policy Optimization (GRPO) is a widely used optimizer in this setting. However, RLVR training…

Machine Learning · Computer Science 2026-05-14 Tue Le , Linh Ngo Van , Trung Le

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

Despite the empirical success of Low-Rank Adaptation (LoRA) in fine-tuning pre-trained models, there is little theoretical understanding of how first-order methods with carefully crafted initialization adapt models to new tasks. In this…

Machine Learning · Computer Science 2025-03-11 Ziqing Xu , Hancheng Min , Lachlan Ewen MacDonald , Jinqi Luo , Salma Tarmoun , Enrique Mallada , Rene Vidal

Low-Rank Adaptation (LoRA) is a widely-used parameter-efficient finetuning method for large language models. LoRA saves memory by training only low rank perturbations to selected weight matrices. In this work, we compare the performance of…

Low-rank adaption (LoRA) is a widely used parameter-efficient finetuning method for LLM that reduces memory requirements. However, current LoRA optimizers lack transformation invariance, meaning the actual updates to the weights depends on…

Machine Learning · Computer Science 2025-07-18 Jui-Nan Yen , Si Si , Zhao Meng , Felix Yu , Sai Surya Duvvuri , Inderjit S. Dhillon , Cho-Jui Hsieh , Sanjiv Kumar

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