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Parameter-efficient fine-tuning (PEFT) is a popular method for tailoring pre-trained large language models (LLMs), especially as the models' scale and the diversity of tasks increase. Low-rank adaptation (LoRA) is based on the idea that the…

Computation and Language · Computer Science 2025-05-27 Pengjie Ren , Chengshun Shi , Shiguang Wu , Mengqi Zhang , Zhaochun Ren , Maarten de Rijke , Zhumin Chen , Jiahuan Pei

While Low-Rank Adaptation (LoRA) enables parameter-efficient fine-tuning for Large Language Models (LLMs), its performance often falls short of Full Fine-Tuning (Full FT). Current methods optimize LoRA by initializing with static singular…

Computation and Language · Computer Science 2026-03-04 Chenghao Fan , Zhenyi Lu , Sichen Liu , Chengfeng Gu , Xiaoye Qu , Wei Wei , Yu Cheng

Bayesian optimization (BO) is a powerful class of algorithms for optimizing expensive black-box functions, but designing effective BO algorithms remains a manual, expertise-driven task. Recent advancements in Large Language Models (LLMs)…

Machine Learning · Computer Science 2025-05-28 Wenhu Li , Niki van Stein , Thomas Bäck , Elena Raponi

Low-Rank Adaptation (LoRA) has proven effective in reducing computational costs while maintaining performance comparable to fully fine-tuned foundation models across various tasks. However, its fixed low-rank structure restricts its…

Computer Vision and Pattern Recognition · Computer Science 2025-07-02 Chuyan Zhang , Kefan Wang , Yun Gu

Low-Rank Adaptation (LoRA) has emerged as a widely adopted approach for adapting large language models, yet the internal representational changes induced by LoRA fine-tuning remain insufficiently understood. In this work, we investigate the…

Machine Learning · Computer Science 2026-05-29 Prasanth K K

Federated LoRA provides a communication-efficient mechanism for fine-tuning large language models on decentralized data. In practice, however, a discrepancy between the factor-wise averaging used to preserve low rank and the mathematically…

Machine Learning · Computer Science 2026-05-13 Haoran Zhang , Dongjun Kim , Seohyeon Cha , Haris Vikalo

Sparse autoencoders (SAEs) decompose language model representations into a sparse set of linear latent vectors. Recent works have improved SAEs using language model gradients, but these techniques require many expensive backward passes…

Machine Learning · Computer Science 2025-05-28 Matthew Chen , Joshua Engels , Max Tegmark

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

Low-Rank Adaptation (LoRA) is a popular method for parameter-efficient fine-tuning (PEFT) of generative models, valued for its simplicity and effectiveness. Despite recent enhancements, LoRA still suffers from a fundamental limitation:…

Machine Learning · Computer Science 2026-01-16 Yeonjoon Jung , Daehyun Ahn , Hyungjun Kim , Taesu Kim , Eunhyeok Park

Low-rank adaptation (LoRA) and its variants have recently gained much interest due to their ability to avoid excessive inference costs. However, LoRA still encounters the following challenges: (1) Limitation of low-rank assumption; and (2)…

Computation and Language · Computer Science 2024-09-26 Qibin Wang , Xiaolin Hu , Weikai Xu , Wei Liu , Jian Luan , Bin Wang

The expressive power of a Gaussian process (GP) model comes at a cost of poor scalability in the data size. To improve its scalability, this paper presents a low-rank-cum-Markov approximation (LMA) of the GP model that is novel in…

Machine Learning · Statistics 2014-11-18 Kian Hsiang Low , Jiangbo Yu , Jie Chen , Patrick Jaillet

Generalized Bayes posterior distributions are formed by putting a fractional power on the likelihood before combining with the prior via Bayes's formula. This fractional power, which is often viewed as a remedy for potential model…

Methodology · Statistics 2023-04-12 Pei-Shien Wu , Ryan Martin

Low-rank adaptation (LoRA) has become a standard approach for fine-tuning large foundation models. However, our theoretical understanding of LoRA remains limited as prior analyses of LoRA's training dynamics either rely on linearization…

Machine Learning · Computer Science 2025-06-04 Junsu Kim , Jaeyeon Kim , Ernest K. Ryu

Estimating the uncertainty of responses from Large Language Models (LLMs) remains a critical challenge. While recent Bayesian methods have demonstrated effectiveness in quantifying uncertainty through low-rank weight updates, they typically…

Machine Learning · Statistics 2025-09-29 Haizhou Shi , Yibin Wang , Ligong Han , Huan Zhang , Hao Wang

In the Retrieval-Augmented Generation (RAG) system, advanced Large Language Models (LLMs) have emerged as effective Query Likelihood Models (QLMs) in an unsupervised way, which re-rank documents based on the probability of generating the…

Computation and Language · Computer Science 2024-12-23 Xiaowei Yuan , Zhao Yang , Yequan Wang , Jun Zhao , Kang Liu

We investigate LoRA in federated learning through the lens of the asymmetry analysis of the learned $A$ and $B$ matrices. In doing so, we uncover that $A$ matrices are responsible for learning general knowledge, while $B$ matrices focus on…

Machine Learning · Computer Science 2025-03-24 Pengxin Guo , Shuang Zeng , Yanran Wang , Huijie Fan , Feifei Wang , Liangqiong Qu

Low-rank adaptation (LoRA) is one of the most popular methods among parameter-efficient fine-tuning (PEFT) methods to adapt pre-trained large language models (LLMs) to specific downstream tasks. However, the model trained based on LoRA…

Computation and Language · Computer Science 2026-01-05 Yixing Xu , Chao Li , Xuanwu Yin , Spandan Tiwari , Dong Li , Ashish Sirasao , Emad Barsoum

Subspace optimization algorithms, such as GaLore (Zhao et al., 2024), have gained attention for pre-training and fine-tuning large language models (LLMs) due to their memory efficiency. However, their convergence guarantees remain unclear,…

Machine Learning · Computer Science 2025-06-05 Yutong He , Pengrui Li , Yipeng Hu , Chuyan Chen , Kun Yuan

Large language models (LLMs) have achieved remarkable success in various natural language processing tasks, yet they remain prone to generating factually incorrect outputs known as hallucinations. While recent approaches have shown promise…

Computation and Language · Computer Science 2026-03-25 Qiyao Sun , Xingming Li , Xixiang He , Ao Cheng , Xuanyu Ji , Hailun Lu , Runke Huang , Qingyong Hu

Bayesian inference typically relies on specifying a parametric model that approximates the data-generating process. However, misspecified models can yield poor convergence rates and unreliable posterior calibration. Bayesian empirical…

Methodology · Statistics 2025-10-27 Kenyon Ng , Weichang Yu , Howard D. Bondell