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We study model-based reinforcement learning in an unknown finite communicating Markov decision process. We propose a simple algorithm that leverages a variance based confidence interval. We show that the proposed algorithm, UCRL-V, achieves…

机器学习 · 计算机科学 2019-12-12 Aristide Tossou , Debabrota Basu , Christos Dimitrakakis

We study the online restless bandit problem, where the state of each arm evolves according to a Markov chain, and the reward of pulling an arm depends on both the pulled arm and the current state of the corresponding Markov chain. In this…

机器学习 · 计算机科学 2020-11-09 Siwei Wang , Longbo Huang , John C. S. Lui

When deployed in the world, a learning agent such as a recommender system or a chatbot often repeatedly interacts with another learning agent (such as a user) over time. In many such two-agent systems, each agent learns separately and the…

机器学习 · 计算机科学 2024-06-24 Kate Donahue , Nicole Immorlica , Meena Jagadeesan , Brendan Lucier , Aleksandrs Slivkins

Counterfactual regret minimization (CFR) is a popular method to deal with decision-making problems of two-player zero-sum games with imperfect information. Unlike existing studies that mostly explore for solving larger scale problems or…

机器学习 · 计算机科学 2020-09-15 Huale Li , Xuan Wang , Fengwei Jia , Yifan Li , Yulin Wu , Jiajia Zhang , Shuhan Qi

In this paper, we propose and study opportunistic reinforcement learning - a new variant of reinforcement learning problems where the regret of selecting a suboptimal action varies under an external environmental condition known as the…

机器学习 · 计算机科学 2022-10-26 Xiaoxiao Wang , Nader Bouacida , Xueying Guo , Xin Liu

We propose a new model, independent linear Markov game, for multi-agent reinforcement learning with a large state space and a large number of agents. This is a class of Markov games with independent linear function approximation, where each…

机器学习 · 计算机科学 2023-06-23 Qiwen Cui , Kaiqing Zhang , Simon S. Du

Most learning algorithms with formal regret guarantees essentially rely on trying all possible behaviors, which is problematic when some errors cannot be recovered from. Instead, we allow the learning agent to ask for help from a mentor and…

机器学习 · 计算机科学 2025-09-17 Benjamin Plaut , Juan Liévano-Karim , Hanlin Zhu , Stuart Russell

We present a general framework for evolutionary learning to emergent unbiased state representation without any supervision. Evolutionary frameworks such as self-play converge to bad local optima in case of multi-agent reinforcement learning…

机器学习 · 统计学 2023-02-03 Shohei Ohsawa

This paper investigates a class of games with large strategy spaces, motivated by challenges in AI alignment and language games. We introduce the hidden game problem, where for each player, an unknown subset of strategies consistently…

人工智能 · 计算机科学 2025-10-07 Gon Buzaglo , Noah Golowich , Elad Hazan

We study the adaptive control of an unknown linear system with a quadratic cost function subject to safety constraints on both the states and actions. The challenges of this problem arise from the tension among safety, exploration,…

系统与控制 · 电气工程与系统科学 2021-11-02 Yingying Li , Subhro Das , Jeff Shamma , Na Li

The Exploration-Exploitation tradeoff arises in Reinforcement Learning when one cannot tell if a policy is optimal. Then, there is a constant need to explore new actions instead of exploiting past experience. In practice, it is common to…

机器学习 · 计算机科学 2019-09-10 Lior Shani , Yonathan Efroni , Shie Mannor

In this paper, online game is studied, where at each time, a group of players aim at selfishly minimizing their own time-varying cost function simultaneously subject to time-varying coupled constraints and local feasible set constraints.…

计算机科学与博弈论 · 计算机科学 2023-06-29 Min Meng , Xiuxian Li , Yiguang Hong , Jie Chen , Long Wang

We consider the problem of learning the optimal policy for Markov decision processes with safety constraints. We formulate the problem in a reach-avoid setup. Our goal is to design online reinforcement learning algorithms that ensure safety…

机器学习 · 计算机科学 2026-01-21 Abhijit Mazumdar , Rafal Wisniewski , Manuela L. Bujorianu

In this paper, we model one-day international cricket games as Markov processes, applying forward and inverse Reinforcement Learning (RL) to develop three novel tools for the game. First, we apply Monte-Carlo learning to fit a nonlinear…

机器学习 · 计算机科学 2021-03-09 Manohar Vohra , George S. D. Gordon

Learning to play zero-sum games is a fundamental problem in game theory and machine learning. While significant progress has been made in minimizing external regret in the self-play settings or with full-information feedback, real-world…

机器学习 · 计算机科学 2026-02-09 Shinji Ito , Haipeng Luo , Arnab Maiti , Taira Tsuchiya , Yue Wu

In standard RL, a learner attempts to learn an optimal policy for a Markov Decision Process whose structure (e.g. state space) is known. In online model selection, a learner attempts to learn an optimal policy for an MDP knowing only that…

机器学习 · 计算机科学 2024-11-12 Alireza Masoumian , James R. Wright

We consider Markov Decision Processes (MDPs) where the rewards are unknown and may change in an adversarial manner. We provide an algorithm that achieves state-of-the-art regret bound of $O( \sqrt{\tau (\ln|S|+\ln|A|)T}\ln(T))$, where $S$…

机器学习 · 计算机科学 2019-05-28 Adrian Rivera Cardoso , He Wang , Huan Xu

We consider online no-regret learning in unknown games with bandit feedback, where each player can only observe its reward at each time -- determined by all players' current joint action -- rather than its gradient. We focus on the class of…

机器学习 · 计算机科学 2024-04-01 Wenjia Ba , Tianyi Lin , Jiawei Zhang , Zhengyuan Zhou

We consider learning Nash equilibria in two-player zero-sum Markov Games with nonlinear function approximation, where the action-value function is approximated by a function in a Reproducing Kernel Hilbert Space (RKHS). The key challenge is…

机器学习 · 计算机科学 2022-08-11 Chris Junchi Li , Dongruo Zhou , Quanquan Gu , Michael I. Jordan

Recent advances in large language model (LLM) reasoning, led by reinforcement learning with verifiable rewards (RLVR), have inspired self-play post-training, where models improve by generating and solving their own problems. While self-play…

机器学习 · 计算机科学 2025-11-03 Justin Yang Chae , Md Tanvirul Alam , Nidhi Rastogi