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Modern deep learning algorithms use variations of gradient descent as their main learning methods. Gradient descent can be understood as the simplest Ordinary Differential Equation (ODE) solver; namely, the Euler method applied to the…

Machine Learning · Computer Science 2025-05-20 Benoit Dherin , Michael Munn , Hanna Mazzawi , Michael Wunder , Sourabh Medapati , Javier Gonzalvo

Low-Rank Adaptation (LoRA), which introduces a product of two trainable low-rank matrices into frozen pre-trained weights, is widely used for efficient fine-tuning of language models in federated learning (FL). However, when combined with…

Machine Learning · Computer Science 2025-10-28 Seanie Lee , Sangwoo Park , Dong Bok Lee , Dominik Wagner , Haebin Seong , Tobias Bocklet , Juho Lee , Sung Ju Hwang

Parameter-efficient fine-tuning (PEFT) has emerged as a powerful paradigm for adapting large-scale pre-trained models to downstream tasks with minimal additional parameters. Among PEFT methods, Low-Rank Adaptation (LoRA) stands out for its…

Machine Learning · Computer Science 2026-02-03 Nghiem T. Diep , Dung Le , Tuan Truong , Tan Dinh , Huy Nguyen , Nhat Ho

In this paper, we set the mathematical foundations of the Dynamical Low-Rank Approximation (DLRA) method for stochastic differential equations (SDEs). DLRA aims at approximating the solution as a linear combination of a small number of…

Numerical Analysis · Mathematics 2024-08-23 Yoshihito Kazashi , Fabio Nobile , Fabio Zoccolan

While parameter-efficient fine-tuning (PEFT) techniques like Low-Rank Adaptation (LoRA) offer computationally efficient adaptations of Large Language Models (LLMs), their practical deployment often assumes centralized data and training…

Machine Learning · Computer Science 2025-08-25 Sajjad Ghiasvand , Mahnoosh Alizadeh , Ramtin Pedarsani

We present Generalized LoRA (GLoRA), an advanced approach for universal parameter-efficient fine-tuning tasks. Enhancing Low-Rank Adaptation (LoRA), GLoRA employs a generalized prompt module to optimize pre-trained model weights and adjust…

Machine Learning · Computer Science 2023-10-17 Arnav Chavan , Zhuang Liu , Deepak Gupta , Eric Xing , Zhiqiang Shen

Parameter-efficient tuning methods such as LoRA could achieve comparable performance to model tuning by tuning a small portion of the parameters. However, substantial computational resources are still required, as this process involves…

Computation and Language · Computer Science 2024-03-05 Feihu Jin , Yin Liu , Ying Tan

With the rise of language and multimodal models of ever-increasing size, pretraining a general-purpose foundational model and adapting it to downstream tasks has become common practice. To this end, adaptation efficiency can be a critical…

Machine Learning · Computer Science 2024-08-20 Yihe Dong

This paper presents a novel methodology of fine-tuning for large language models-dynamic LoRA. Building from the standard Low-Rank Adaptation framework, this methodology further adds dynamic adaptation mechanisms to improve efficiency and…

Computation and Language · Computer Science 2025-01-28 Xiaoxuan Liao , Chihang Wang , Shicheng Zhou , Jiacheng Hu , Hongye Zheng , Jia Gao

While traditional Deep Learning (DL) optimization methods treat all training samples equally, Distributionally Robust Optimization (DRO) adaptively assigns importance weights to different samples. However, a significant gap exists between…

Low-rank adaption (LoRA) is a prominent method that adds a small number of learnable parameters to the frozen pre-trained weights for parameter-efficient fine-tuning. Prompted by the question, ``Can we make its representation enough with…

Computer Vision and Pattern Recognition · Computer Science 2024-06-14 Injoon Hwang , Haewon Park , Youngwan Lee , Jooyoung Yang , SunJae Maeng

Parameter-efficient fine-tuning (PEFT), particularly Low-Rank Adaptation (LoRA), adapts large language models (LLMs) by training only a small fraction of parameters. However, as the rank of the low-rank matrices used for adaptation…

Computation and Language · Computer Science 2025-09-29 Yupeng Chang , Chenlu Guo , Yi Chang , Yuan Wu

While orthogonal subspace methods try to mitigate task interference in Continual Learning (CL), they often suffer from energy diffusion across the basis, hindering knowledge compaction and exhausting capacity for future tasks. We observe…

Machine Learning · Computer Science 2026-05-28 Longhua Li , Lei Qi , Qi Tian , Xin Geng

Processing visual data often involves small adjustments or sequences of changes, e.g., image filtering, surface smoothing, and animation. While established graphics techniques like normal mapping and video compression exploit redundancy to…

Graphics · Computer Science 2025-10-20 Anh Truong , Ahmed H. Mahmoud , Mina Konaković Luković , Justin Solomon

Continual Learning (CL) with foundation models has recently emerged as a promising paradigm to exploit abundant knowledge acquired during pre-training for tackling sequential tasks. However, existing prompt-based and Low-Rank…

Machine Learning · Computer Science 2025-03-10 Yichen Wu , Hongming Piao , Long-Kai Huang , Renzhen Wang , Wanhua Li , Hanspeter Pfister , Deyu Meng , Kede Ma , Ying Wei

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

Large pre-trained models, such as large language models (LLMs), present significant resource challenges for fine-tuning due to their extensive parameter sizes, especially for applications in mobile systems. To address this, Low-Rank…

Machine Learning · Computer Science 2024-07-18 Yuzhu Mao , Siqi Ping , Zihao Zhao , Yang Liu , Wenbo Ding

Adapting Large Multimodal Models (LMMs) to real-world scenarios poses the dual challenges of learning from sequential data streams while handling frequent modality incompleteness, a task known as Continual Missing Modality Learning (CMML).…

Machine Learning · Computer Science 2026-03-03 Xiwei Liu , Yulong Li , Feilong Tang , Imran Razzak

Decentralized federated learning (DFL), a serverless variant of federated learning, poses unique challenges for parameter-efficient fine-tuning due to the factorized structure of low-rank adaptation (LoRA). Unlike linear parameters,…

Machine Learning · Computer Science 2026-02-03 Xiaoyu Wang , Xiaotian Li , Zhixiang Zhou , Chen Li , Yong Liu

The growth of large language models underscores the need for parameter-efficient fine-tuning. Despite its popularity, LoRA encounters storage and computational challenges when deploying multiple task- or user-specific modules. To address…

Machine Learning · Computer Science 2025-08-21 Klaudia Bałazy , Mohammadreza Banaei , Karl Aberer , Jacek Tabor
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