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We introduce an online learning algorithm in the bandit feedback model that, once adopted by all agents of a congestion game, results in game-dynamics that converge to an $\epsilon$-approximate Nash Equilibrium in a polynomial number of…

计算机科学与博弈论 · 计算机科学 2024-01-19 Leello Dadi , Ioannis Panageas , Stratis Skoulakis , Luca Viano , Volkan Cevher

In this paper, we propose Posterior Sampling Reinforcement Learning for Zero-sum Stochastic Games (PSRL-ZSG), the first online learning algorithm that achieves Bayesian regret bound of $O(HS\sqrt{AT})$ in the infinite-horizon zero-sum…

机器学习 · 计算机科学 2024-03-12 Mehdi Jafarnia-Jahromi , Rahul Jain , Ashutosh Nayyar

Constrained reinforcement learning has achieved promising progress in safety-critical fields where both rewards and constraints are considered. However, constrained reinforcement learning methods face challenges in striking the right…

机器学习 · 计算机科学 2024-10-29 Jianmina Ma , Jingtian Ji , Yue Gao

In this paper we study a generalized version of classical multi-armed bandits (MABs) problem by allowing for arbitrary constraints on constituent bandits at each decision point. The motivation of this study comes from many situations that…

机器学习 · 计算机科学 2014-10-07 Xiang-yang Li , Shaojie Tang , Yaqin Zhou

Real-world applications of reinforcement learning for recommendation and experimentation faces a practical challenge: the relative reward of different bandit arms can evolve over the lifetime of the learning agent. To deal with these…

机器学习 · 计算机科学 2022-06-29 Srivas Chennu , Andrew Maher , Jamie Martin , Subash Prabanantham

We give an efficient algorithm for learning a binary function in a given class C of bounded VC dimension, with training data distributed according to P and test data according to Q, where P and Q may be arbitrary distributions over X. This…

机器学习 · 计算机科学 2021-02-17 Adam Kalai , Varun Kanade

We aim to design strategies for sequential decision making that adjust to the difficulty of the learning problem. We study this question both in the setting of prediction with expert advice, and for more general combinatorial decision…

机器学习 · 计算机科学 2015-03-02 Wouter M. Koolen , Tim van Erven

Transformer architectures have achieved state-of-the-art results on a variety of sequence modeling tasks. However, their attention mechanism comes with a quadratic complexity in sequence lengths, making the computational overhead…

计算与语言 · 计算机科学 2022-06-03 Hao Peng , Jungo Kasai , Nikolaos Pappas , Dani Yogatama , Zhaofeng Wu , Lingpeng Kong , Roy Schwartz , Noah A. Smith

Reinforcement learning has recently gained unprecedented popularity, yet it still grapples with sample inefficiency. Addressing this challenge, federated reinforcement learning (FedRL) has emerged, wherein agents collaboratively learn a…

分布式、并行与集群计算 · 计算机科学 2024-10-15 Ali Beikmohammadi , Sarit Khirirat , Sindri Magnússon

Counterfactual Regret Minimization (CRF) is a fundamental and effective technique for solving Imperfect Information Games (IIG). However, the original CRF algorithm only works for discrete state and action spaces, and the resulting strategy…

人工智能 · 计算机科学 2018-12-31 Hui Li , Kailiang Hu , Zhibang Ge , Tao Jiang , Yuan Qi , Le Song

We address the problem of stochastic combinatorial semi-bandits, where a player selects among P actions from the power set of a set containing d base items. Adaptivity to the problem's structure is essential in order to obtain optimal…

机器学习 · 计算机科学 2024-11-18 Julien Zhou , Pierre Gaillard , Thibaud Rahier , Houssam Zenati , Julyan Arbel

Real-world robotic tasks often require agents to achieve sequences of goals while respecting time-varying safety constraints. However, standard Reinforcement Learning (RL) paradigms are fundamentally limited in these settings. A natural…

机器人学 · 计算机科学 2025-12-02 Anastasios Manganaris , Vittorio Giammarino , Ahmed H. Qureshi

We develop an operator algebraic framework for infinite games with a continuum of agents and prove that regret based learning dynamics governed by a noncommutative continuity equation converge to a unique quantal response equilibrium under…

最优化与控制 · 数学 2025-07-29 Faruk Alpay , Hamdi Alakkad , Bugra Kilictas , Taylan Alpay

Model-free reinforcement learning based methods such as Proximal Policy Optimization, or Q-learning typically require thousands of interactions with the environment to approximate the optimum controller which may not always be feasible in…

机器学习 · 计算机科学 2019-05-16 Narendra Patwardhan , Zequn Wang

The actor-critic (AC) reinforcement learning algorithms have been the powerhouse behind many challenging applications. Nevertheless, its convergence is fragile in general. To study its instability, existing works mostly consider the…

机器学习 · 计算机科学 2023-02-28 Xuyang Chen , Jingliang Duan , Yingbin Liang , Lin Zhao

We study bandit learning in matching markets, where players and arms constitute the two market sides, and the players' utilities are linear in the arm contexts. In each round, new arms arrive with observable contexts. Then, the algorithm…

机器学习 · 计算机科学 2026-05-28 Shiyun Lin , Simon Mauras , Vianney Perchet , Nadav Merlis

We study lifelong reinforcement learning (RL) in a regret minimization setting of linear contextual Markov decision process (MDP), where the agent needs to learn a multi-task policy while solving a streaming sequence of tasks. We propose an…

机器学习 · 计算机科学 2022-06-02 Sanae Amani , Lin F. Yang , Ching-An Cheng

In many applications, e.g. in healthcare and e-commerce, the goal of a contextual bandit may be to learn an optimal treatment assignment policy at the end of the experiment. That is, to minimize simple regret. However, this objective…

机器学习 · 计算机科学 2023-11-06 Sanath Kumar Krishnamurthy , Ruohan Zhan , Susan Athey , Emma Brunskill

The exploration-exploitation dilemma has been a central challenge in reinforcement learning (RL) with complex model classes. In this paper, we propose a new algorithm, Monotonic Q-Learning with Upper Confidence Bound (MQL-UCB) for RL with…

机器学习 · 计算机科学 2025-10-06 Heyang Zhao , Jiafan He , Quanquan Gu

We show that learning algorithms satisfying a $\textit{low approximate regret}$ property experience fast convergence to approximate optimality in a large class of repeated games. Our property, which simply requires that each learner has…

计算机科学与博弈论 · 计算机科学 2016-12-19 Dylan J. Foster , Zhiyuan Li , Thodoris Lykouris , Karthik Sridharan , Eva Tardos