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Infinitely repeated games can support cooperative outcomes that are not equilibria in the one-shot game. The idea is to make sure that any gains from deviating will be offset by retaliation in future rounds. However, this model of…

计算机科学与博弈论 · 计算机科学 2024-06-04 Ratip Emin Berker , Vincent Conitzer

We study an optimal control problem on infinite time horizon with semimartingale strategies, random coefficients and regime switching. The value function and the optimal strategy can be characterized in terms of three systems of backward…

最优化与控制 · 数学 2026-02-27 Xinman Cheng , Guanxing Fu , Xiaonyu Xia

We present an approach for systematically anticipating the actions and policies employed by \emph{oblivious} environments in concurrent stochastic games, while maximizing a reward function. Our main contribution lies in the synthesis of a…

人工智能 · 计算机科学 2024-09-19 Shadi Tasdighi Kalat , Sriram Sankaranarayanan , Ashutosh Trivedi

Linear dynamical systems that obey stochastic differential equations are canonical models. While optimal control of known systems has a rich literature, the problem is technically hard under model uncertainty and there are hardly any…

系统与控制 · 电气工程与系统科学 2023-06-09 Mohamad Kazem Shirani Faradonbeh , Mohamad Sadegh Shirani Faradonbeh

Model-free deep reinforcement learning (RL) algorithms have been demonstrated on a range of challenging decision making and control tasks. However, these methods typically suffer from two major challenges: very high sample complexity and…

机器学习 · 计算机科学 2018-08-10 Tuomas Haarnoja , Aurick Zhou , Pieter Abbeel , Sergey Levine

In this paper, we show how a simulated Markov decision process (MDP) built by the so-called \emph{baseline} policies, can be used to compute a different policy, namely the \emph{simulated optimal} policy, for which the performance of this…

最优化与控制 · 数学 2014-10-13 Yinlam Chow , Mohammad Ghavamzadeh

The applicability of reinforcement learning (RL) algorithms in real-world domains often requires adherence to safety constraints, a need difficult to address given the asymptotic nature of the classic RL optimization objective. In contrast…

机器学习 · 计算机科学 2021-04-15 Moritz A. Zanger , Karam Daaboul , J. Marius Zöllner

Model-based algorithms -- algorithms that explore the environment through building and utilizing an estimated model -- are widely used in reinforcement learning practice and theoretically shown to achieve optimal sample efficiency for…

机器学习 · 计算机科学 2021-02-09 Qinghua Liu , Tiancheng Yu , Yu Bai , Chi Jin

We study how to learn $\epsilon$-optimal strategies in zero-sum imperfect information games (IIG) with trajectory feedback. In this setting, players update their policies sequentially based on their observations over a fixed number of…

计算机科学与博弈论 · 计算机科学 2023-09-06 Côme Fiegel , Pierre Ménard , Tadashi Kozuno , Rémi Munos , Vianney Perchet , Michal Valko

In this paper, we consider a modified version of the control problem in a model free Markov decision process (MDP) setting with large state and action spaces. The control problem most commonly addressed in the contemporary literature is to…

人工智能 · 计算机科学 2018-02-01 Ajin George Joseph , Shalabh Bhatnagar

Training LLM agents in multi-turn environments with sparse rewards, where completing a single task requires 30+ turns of interaction within an episode, presents a fundamental challenge for reinforcement learning. We identify a critical…

机器学习 · 计算机科学 2026-02-11 Wujiang Xu , Wentian Zhao , Zhenting Wang , Yu-Jhe Li , Can Jin , Mingyu Jin , Kai Mei , Kun Wan , Dimitris N. Metaxas

Constrained decision-making is essential for designing safe policies in real-world control systems, yet simulated environments often fail to capture real-world adversities. We consider the problem of learning a policy that will maximize the…

机器学习 · 计算机科学 2026-02-10 Sourav Ganguly , Kishan Panaganti , Arnob Ghosh , Adam Wierman

We adopt an optimal-control framework for addressing the undiscounted infinite-horizon discrete-time restless $N$-armed bandit problem. Unlike most studies that rely on constructing policies based on the relaxed single-armed Markov Decision…

最优化与控制 · 数学 2024-03-19 Chen YAN

Despite its promise, reinforcement learning's real-world adoption has been hampered by the need for costly exploration to learn a good policy. Imitation learning (IL) mitigates this shortcoming by using an oracle policy during training as a…

机器学习 · 计算机科学 2020-12-08 Ching-An Cheng , Andrey Kolobov , Alekh Agarwal

In this paper, we study safe data collection for the purpose of policy evaluation in tabular Markov decision processes (MDPs). In policy evaluation, we are given a \textit{target} policy and asked to estimate the expected cumulative reward…

机器学习 · 计算机科学 2024-06-05 Subhojyoti Mukherjee , Josiah P. Hanna , Robert Nowak

It is a popular belief that model-based Reinforcement Learning (RL) is more sample efficient than model-free RL, but in practice, it is not always true due to overweighed model errors. In complex and noisy settings, model-based RL tends to…

机器学习 · 计算机科学 2020-10-13 Feiyang Pan , Jia He , Dandan Tu , Qing He

Model-based reinforcement learning (RL), which finds an optimal policy using an empirical model, has long been recognized as one of the corner stones of RL. It is especially suitable for multi-agent RL (MARL), as it naturally decouples the…

机器学习 · 计算机科学 2023-08-10 Kaiqing Zhang , Sham M. Kakade , Tamer Başar , Lin F. Yang

A precondition for the deployment of a Reinforcement Learning agent to a real-world system is to provide guarantees on the learning process. While a learning algorithm will eventually converge to a good policy, there are no guarantees on…

机器学习 · 统计学 2023-12-27 Paul Daoudi , Mathias Formoso , Othman Gaizi , Achraf Azize , Evrard Garcelon

We tackle the problem of learning equilibria in simulation-based games. In such games, the players' utility functions cannot be described analytically, as they are given through a black-box simulator that can be queried to obtain noisy…

计算机科学与博弈论 · 计算机科学 2020-02-26 Alberto Marchesi , Francesco Trovò , Nicola Gatti

In this paper, we propose a novel policy iteration method, called dynamic policy programming (DPP), to estimate the optimal policy in the infinite-horizon Markov decision processes. We prove the finite-iteration and asymptotic l\infty-norm…

机器学习 · 计算机科学 2011-09-09 Mohammad Gheshlaghi Azar , Vicenc Gomez , Hilbert J. Kappen