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Despite its huge number of variants, standard Low-Rank Adaptation (LoRA) is still a dominant technique for parameter-efficient fine-tuning (PEFT). Nonetheless, it faces persistent challenges, including the pre-selection of an optimal rank…

Computation and Language · Computer Science 2026-02-20 Ivan Vulić , Adam Grycner , Quentin de Laroussilhe , Jonas Pfeiffer

The theory of reinforcement learning has focused on two fundamental problems: achieving low regret, and identifying $\epsilon$-optimal policies. While a simple reduction allows one to apply a low-regret algorithm to obtain an…

Machine Learning · Computer Science 2022-06-23 Andrew Wagenmaker , Max Simchowitz , Kevin Jamieson

Conventional Low-Rank Adaptation (LoRA) methods employ a fixed rank, imposing uniform adaptation across transformer layers and attention heads despite their heterogeneous learning dynamics. This paper introduces Adaptive Rank Dynamic LoRA…

Machine Learning · Computer Science 2025-12-19 Haseeb Ullah Khan Shinwari , Muhammad Usama

Iterative refinement is particularly popular for numerical solution of linear systems of equations. We extend it to Low Rank Approximation of a matrix (LRA) and observe close link of the resulting algorithm to oversampling techniques,…

Numerical Analysis · Mathematics 2024-11-28 Victor Y. Pan , Qi Luan , Soo Go

There has been a recent focus in reinforcement learning on addressing continuous state and action problems by optimizing parameterized policies. PI2 is a recent example of this approach. It combines a derivation from first principles of…

Machine Learning · Computer Science 2012-06-22 Freek Stulp , Olivier Sigaud

We study the problem of model-free reinforcement learning, which is often solved following the principle of Generalized Policy Iteration (GPI). While GPI is typically an interplay between policy evaluation and policy improvement, most…

Machine Learning · Computer Science 2023-02-28 Changnan Xiao , Haosen Shi , Jiajun Fan , Shihong Deng , Haiyan Yin

The goal of reinforcement learning (RL) is to let an agent learn an optimal control policy in an unknown environment so that future expected rewards are maximized. The model-free RL approach directly learns the policy based on data samples.…

Machine Learning · Statistics 2013-07-22 Syogo Mori , Voot Tangkaratt , Tingting Zhao , Jun Morimoto , Masashi Sugiyama

Large Language Models (LLMs) have transformed both everyday life and scientific research. However, adapting LLMs from general-purpose models to specialized tasks remains challenging, particularly in resource-constrained environments.…

Machine Learning · Computer Science 2025-09-12 Hao Zhang , Bo Huang , Zhenjia Li , Xi Xiao , Hui Yi Leong , Zumeng Zhang , Xinwei Long , Tianyang Wang , Hao Xu

This paper presents a model-free reinforcement learning (RL) algorithm to synthesize a control policy that maximizes the satisfaction probability of linear temporal logic (LTL) specifications. Due to the consideration of environment and…

Formal Languages and Automata Theory · Computer Science 2022-01-04 Mingyu Cai , Shaoping Xiao , Baoluo Li , Zhiliang Li , Zhen Kan

What is a good exploration strategy for an agent that interacts with an environment in the absence of external rewards? Ideally, we would like to get a policy driving towards a uniform state-action visitation (highly exploring) in a minimum…

Machine Learning · Computer Science 2019-12-20 Mirco Mutti , Marcello Restelli

Multi-task representation learning (MTRL) is an approach that learns shared latent representations across related tasks, facilitating collaborative learning that improves the overall learning efficiency. This paper studies MTRL for…

Machine Learning · Computer Science 2026-04-07 Yaoze Guo , Shana Moothedath

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

Value estimation is one key problem in Reinforcement Learning. Albeit many successes have been achieved by Deep Reinforcement Learning (DRL) in different fields, the underlying structure and learning dynamics of value function, especially…

Machine Learning · Computer Science 2021-11-22 Tong Sang , Hongyao Tang , Jianye Hao , Yan Zheng , Zhaopeng Meng

Low-Rank Adaptation (LoRA) is a widely adopted parameter-efficient fine-tuning (PEFT) method for Large Language Models (LLMs), but it still incurs notable overhead and suffers from parameter interference in complex datasets. While recent…

Computation and Language · Computer Science 2025-12-19 Chunlin Tian , Xuyang Wei , Huanrong Liu , Zhijiang Guo , Li Li

Reinforcement learning (RL) algorithms for real-world robotic applications need a data-efficient learning process and the ability to handle complex, unknown dynamical systems. These requirements are handled well by model-based and…

Robotics · Computer Science 2017-06-20 Yevgen Chebotar , Karol Hausman , Marvin Zhang , Gaurav Sukhatme , Stefan Schaal , Sergey Levine

We present a data-adaptive method for parameter-efficient fine-tuning of large neural networks. Standard low-rank adaptation methods improve efficiency by restricting each layer update to a fixed low-rank form, but this static…

Machine Learning · Computer Science 2026-05-12 Omatharv Bharat Vaidya , Connor T. Jerzak , Nhat Ho , Chandrajit Bajaj

The performance of reinforcement learning (RL) algorithms is sensitive to the choice of hyperparameters, with the learning rate being particularly influential. RL algorithms fail to reach convergence or demand an extensive number of samples…

Machine Learning · Computer Science 2024-08-09 Aida Afshar , Aldo Pacchiano

Low-rank adaptation (LoRA) is a widely used parameter-efficient fine-tuning (PEFT) method that learns weight updates $\Delta W = AB$ for pretrained weights $W$ through low-rank adapters $A$ and $B$. While LoRA ensures hardware efficiency,…

Computer Vision and Pattern Recognition · Computer Science 2025-05-30 Yibo Zhong , Jinman Zhao , Yao Zhou

Safety is the priority concern when applying reinforcement learning (RL) algorithms to real-world control problems. While policy iteration provides a fundamental algorithm for standard RL, an analogous theoretical algorithm for safe RL…

Machine Learning · Computer Science 2025-03-14 Yujie Yang , Zhilong Zheng , Shengbo Eben Li , Wei Xu , Jingjing Liu , Xianyuan Zhan , Ya-Qin Zhang

Low-Rank Adaptation (LoRA), which leverages the insight that model updates typically reside in a low-dimensional space, has significantly improved the training efficiency of Large Language Models (LLMs) by updating neural network layers…

Machine Learning · Computer Science 2026-05-01 Han Liu , Shanghao Shi , Yevgeniy Vorobeychik , Chongjie Zhang , Ning Zhang