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We present an efficient algorithm for model-free episodic reinforcement learning on large (potentially continuous) state-action spaces. Our algorithm is based on a novel $Q$-learning policy with adaptive data-driven discretization. The…

机器学习 · 计算机科学 2019-12-20 Sean R. Sinclair , Siddhartha Banerjee , Christina Lee Yu

Sequential prediction problems such as imitation learning, where future observations depend on previous predictions (actions), violate the common i.i.d. assumptions made in statistical learning. This leads to poor performance in theory and…

机器学习 · 计算机科学 2015-03-17 Stephane Ross , Geoffrey J. Gordon , J. Andrew Bagnell

We study the problem of full-information online learning in the "bounded recall" setting popular in the study of repeated games. An online learning algorithm $\mathcal{A}$ is $M$-$\textit{bounded-recall}$ if its output at time $t$ can be…

机器学习 · 计算机科学 2024-06-04 Jon Schneider , Kiran Vodrahalli

In the random-order model for online learning, the sequence of losses is chosen upfront by an adversary and presented to the learner after a random permutation. Any random-order input is \emph{asymptotically} equivalent to a stochastic…

We present a new algorithm based on posterior sampling for learning in constrained Markov decision processes (CMDP) in the infinite-horizon undiscounted setting. The algorithm achieves near-optimal regret bounds while being advantageous…

机器学习 · 计算机科学 2023-09-28 Danil Provodin , Pratik Gajane , Mykola Pechenizkiy , Maurits Kaptein

We propose Deep Q-Networks (DQN) with model-based exploration, an algorithm combining both model-free and model-based approaches that explores better and learns environments with sparse rewards more efficiently. DQN is a general-purpose,…

机器学习 · 计算机科学 2019-03-25 Stephen Zhen Gou , Yuyang Liu

Markov games provide a powerful framework for modeling strategic multi-agent interactions in dynamic environments. Traditionally, convergence properties of decentralized learning algorithms in these settings have been established only for…

多智能体系统 · 计算机科学 2025-06-13 Chinmay Maheshwari , Manxi Wu , Shankar Sastry

In two-player zero-sum games, if both players minimize their average external regret, then the average of the strategy profiles converges to a Nash equilibrium. For n-player general-sum games, however, theoretical guarantees for regret…

计算机科学与博弈论 · 计算机科学 2013-05-02 Richard Gibson

We develop an algorithmic framework for solving convex optimization problems using no-regret game dynamics. By converting the problem of minimizing a convex function into an auxiliary problem of solving a min-max game in a sequential…

机器学习 · 计算机科学 2023-02-21 Jun-Kun Wang , Jacob Abernethy , Kfir Y. Levy

Motivated by real-world settings where data collection and policy deployment -- whether for a single agent or across multiple agents -- are costly, we study the problem of on-policy single-agent reinforcement learning (RL) and federated RL…

机器学习 · 统计学 2026-03-11 Haochen Zhang , Zhong Zheng , Lingzhou Xue

Constrained Markov Decision Processes (CMDPs) are one of the common ways to model safe reinforcement learning problems, where constraint functions model the safety objectives. Lagrangian-based dual or primal-dual algorithms provide…

机器学习 · 计算机科学 2023-08-31 Adrian Müller , Pragnya Alatur , Giorgia Ramponi , Niao He

No-regret self-play learning dynamics have become one of the premier ways to solve large-scale games in practice. Accelerating their convergence via improving the regret of the players over the naive $O(\sqrt{T})$ bound after $T$ rounds has…

机器学习 · 计算机科学 2025-02-26 Shinji Ito , Haipeng Luo , Taira Tsuchiya , Yue Wu

We consider the problem of learning stable matchings with unknown preferences in a decentralized and uncoordinated manner, where "decentralized" means that players make decisions individually without the influence of a central platform, and…

计算机科学与博弈论 · 计算机科学 2024-08-16 S. Rasoul Etesami , R. Srikant

The thriving field of multi-agent reinforcement learning (MARL) studies how a group of interacting agents make decisions autonomously in a shared dynamic environment. Existing theoretical studies in this area suffer from at least two of the…

机器学习 · 计算机科学 2025-12-02 Na Li , Yuchen Jiao , Hangguan Shan , Shefeng Yan

In this paper, we study the problem of regret minimization for episodic Reinforcement Learning (RL) both in the model-free and the model-based setting. We focus on learning with general function classes and general model classes, and we…

机器学习 · 计算机科学 2022-03-04 Grigoris Velegkas , Zhuoran Yang , Amin Karbasi

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…

机器学习 · 计算机科学 2022-06-23 Andrew Wagenmaker , Max Simchowitz , Kevin Jamieson

We show that Optimistic Hedge -- a common variant of multiplicative-weights-updates with recency bias -- attains ${\rm poly}(\log T)$ regret in multi-player general-sum games. In particular, when every player of the game uses Optimistic…

机器学习 · 计算机科学 2023-01-26 Constantinos Daskalakis , Maxwell Fishelson , Noah Golowich

We study infinite-horizon average-reward constrained Markov decision processes (CMDPs) under the unichain assumption and general policy parameterizations. Existing regret analyses for constrained reinforcement learning largely rely on…

机器学习 · 计算机科学 2026-02-10 Anirudh Satheesh , Vaneet Aggarwal

Policy design in non-stationary Markov Decision Processes (MDPs) is inherently challenging due to the complexities introduced by time-varying system transition and reward, which make it difficult for learners to determine the optimal…

机器学习 · 计算机科学 2025-11-17 Ziyi Zhang , Yorie Nakahira , Guannan Qu

We consider online learning for episodic stochastically constrained Markov decision processes (CMDPs), which plays a central role in ensuring the safety of reinforcement learning. Here the loss function can vary arbitrarily across the…

机器学习 · 计算机科学 2021-10-19 Shuang Qiu , Xiaohan Wei , Zhuoran Yang , Jieping Ye , Zhaoran Wang