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The goal of robust reinforcement learning (RL) is to learn a policy that is robust against the uncertainty in model parameters. Parameter uncertainty commonly occurs in many real-world RL applications due to simulator modeling errors,…

Machine Learning · Computer Science 2022-10-19 Kishan Panaganti , Zaiyan Xu , Dileep Kalathil , Mohammad Ghavamzadeh

This paper establishes a novel role for Gaussian-mixture models (GMMs) as functional approximators of Q-function losses in reinforcement learning (RL). Unlike the existing RL literature, where GMMs play their typical role as estimates of…

Machine Learning · Computer Science 2024-09-11 Minh Vu , Konstantinos Slavakis

While reinforcement learning (RL) promises to revolutionize the control of complex nonlinear robotic systems, a profound gap persists between the heuristic success of model-free off-policy deep RL and the underlying theory, which remains…

Machine Learning · Computer Science 2026-05-08 Manuel Haussmann , Mustafa Mert Çelikok , Melih Kandemir

The paper addresses the problem of learning a regression model parameterized by a fixed-rank positive semidefinite matrix. The focus is on the nonlinear nature of the search space and on scalability to high-dimensional problems. The…

Machine Learning · Computer Science 2011-02-01 Gilles Meyer , Silvere Bonnabel , Rodolphe Sepulchre

Robust Reinforcement Learning (RRL) is a promising Reinforcement Learning (RL) paradigm aimed at training robust to uncertainty or disturbances models, making them more efficient for real-world applications. Following this paradigm,…

Machine Learning · Computer Science 2024-05-06 Anton Plaksin , Vitaly Kalev

This article introduces an algorithm for implicit High Dimensional Model Representation (HDMR) of the Bellman equation. This approximation technique reduces memory demands of the algorithm considerably. Moreover, we show that HDMR enables…

Optimization and Control · Mathematics 2012-10-03 Miroslav Pištěk

Deep Reinforcement Learning (RL) powered by neural net approximation of the Q function has had enormous empirical success. While the theory of RL has traditionally focused on linear function approximation (or eluder dimension) approaches,…

Machine Learning · Computer Science 2021-12-28 Baihe Huang , Kaixuan Huang , Sham M. Kakade , Jason D. Lee , Qi Lei , Runzhe Wang , Jiaqi Yang

The vast majority of Reinforcement Learning methods is largely impacted by the computation effort and data requirements needed to obtain effective estimates of action-value functions, which in turn determine the quality of the overall…

Machine Learning · Computer Science 2025-04-04 Théo Vincent , Daniel Palenicek , Boris Belousov , Jan Peters , Carlo D'Eramo

Existing value function approximation methods have been successfully used in many applications, but they often lack useful a priori error bounds. We propose a new approximate bilinear programming formulation of value function approximation,…

Artificial Intelligence · Computer Science 2010-06-15 Marek Petrik , Shlomo Zilberstein

Cooperative multi-agent learning methods are essential in developing effective cooperation strategies in multi-agent domains. In robotics, these methods extend beyond multi-robot scenarios to single-robot systems, where they enable…

Robotics · Computer Science 2024-07-30 Yasin Findik , Paul Robinette , Kshitij Jerath , Reza Azadeh

Offline reinforcement learning (RL) enables policy learning from fixed datasets without further environment interaction, making it particularly valuable in high-risk or costly domains. Extreme $Q$-Learning (XQL) is a recent offline RL…

Machine Learning · Computer Science 2026-04-15 Xinming Gao , Shangzhe Li , Yujin Cai , Wenwu Yu

A primary requirement for any reinforcement learning method is that it should produce policies that improve upon the initial guess. In this work, we show that the widely used Deep Q-Network (DQN) fails to satisfy this minimal criterion --…

Machine Learning · Computer Science 2025-06-18 Aditya Gopalan , Gugan Thoppe

The Bellman equation and its continuous form, the Hamilton-Jacobi-Bellman equation, are ubiquitous in reinforcement learning and control theory. However, these equations become intractable for high-dimensional or nonlinear systems. This…

Artificial Intelligence · Computer Science 2026-05-04 Preston Rozwood , Edward Mehrez , Ludger Paehler , Wen Sun , Steven L. Brunton

Federated learning (FL) has emerged as a powerful paradigm for collaborative model training across distributed clients while preserving data privacy. However, existing FL algorithms predominantly focus on unconstrained optimization problems…

Optimization and Control · Mathematics 2025-08-22 Hongye Wang , Zhaoye Pan , Chang He , Jiaxiang Li , Bo Jiang

We propose an inexact variable-metric proximal point algorithm to accelerate gradient-based optimization algorithms. The proposed scheme, called QNing can be notably applied to incremental first-order methods such as the stochastic…

Machine Learning · Statistics 2019-01-30 Hongzhou Lin , Julien Mairal , Zaid Harchaoui

Q-learning methods represent a commonly used class of algorithms in reinforcement learning: they are generally efficient and simple, and can be combined readily with function approximators for deep reinforcement learning (RL). However, the…

Machine Learning · Computer Science 2019-02-28 Justin Fu , Aviral Kumar , Matthew Soh , Sergey Levine

We study computationally and statistically efficient Reinforcement Learning algorithms for the linear Bellman Complete setting. This setting uses linear function approximation to capture value functions and unifies existing models like…

Machine Learning · Computer Science 2025-03-04 Runzhe Wu , Ayush Sekhari , Akshay Krishnamurthy , Wen Sun

In reinforcement learning (RL), Q-learning is a fundamental algorithm whose convergence is guaranteed in the tabular setting. However, this convergence guarantee does not hold under linear function approximation. To overcome this…

Machine Learning · Computer Science 2026-02-04 Hyukjun Yang , Han-Dong Lim , Donghwan Lee

Personalized alignment is essential for enabling large language models (LLMs) to engage effectively in user-centric dialogue. While recent prompt-based and offline optimization methods offer preliminary solutions, they fall short in…

Computation and Language · Computer Science 2025-12-12 Weixiang Zhao , Xingyu Sui , Yulin Hu , Jiahe Guo , Haixiao Liu , Biye Li , Yanyan Zhao , Bing Qin , Ting Liu

Traditional multi-agent reinforcement learning algorithms are not scalable to environments with more than a few agents, since these algorithms are exponential in the number of agents. Recent research has introduced successful methods to…

Multiagent Systems · Computer Science 2021-01-26 Sriram Ganapathi Subramanian , Matthew E. Taylor , Mark Crowley , Pascal Poupart