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Autonomous agents are often required to plan under multiple objectives whose preference ordering varies based on context. The agent may encounter multiple contexts during its course of operation, each imposing a distinct lexicographic…

人工智能 · 计算机科学 2025-11-06 Pulkit Rustagi , Yashwanthi Anand , Sandhya Saisubramanian

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

This paper studies optimal motion planning subject to motion and environment uncertainties. By modeling the system as a probabilistic labeled Markov decision process (PL-MDP), the control objective is to synthesize a finite-memory policy,…

机器人学 · 计算机科学 2022-01-03 Mingyu Cai , Shaoping Xiao , Zhijun Li , Zhen Kan

In tabular multi-agent reinforcement learning with average-cost criterion, a team of agents sequentially interacts with the environment and observes local incentives. We focus on the case that the global reward is a sum of local rewards,…

最优化与控制 · 数学 2021-10-26 Alec Koppel , Amrit Singh Bedi , Bhargav Ganguly , Vaneet Aggarwal

Motivated by practical applications where stable long-term performance is critical-such as robotics, operations research, and healthcare-we study the problem of distributionally robust (DR) average-reward reinforcement learning. We propose…

机器学习 · 计算机科学 2026-02-03 Zijun Chen , Shengbo Wang , Nian Si

We prove new upper and lower bounds for sample complexity of finding an $\epsilon$-optimal policy of an infinite-horizon average-reward Markov decision process (MDP) given access to a generative model. When the mixing time of the…

机器学习 · 计算机科学 2021-06-15 Yujia Jin , Aaron Sidford

Turn-based stochastic games and its important subclass Markov decision processes (MDPs) provide models for systems with both probabilistic and nondeterministic behaviors. We consider turn-based stochastic games with two classical…

计算机科学与博弈论 · 计算机科学 2011-07-13 Krishnendu Chatterjee , Luca de Alfaro , Pritam Roy

With the increasing need for handling large state and action spaces, general function approximation has become a key technique in reinforcement learning (RL). In this paper, we propose a general framework that unifies model-based and…

机器学习 · 计算机科学 2022-10-03 Zixiang Chen , Chris Junchi Li , Angela Yuan , Quanquan Gu , Michael I. Jordan

We study the problem of reinforcement learning in infinite-horizon discounted linear Markov decision processes (MDPs), and propose the first computationally efficient algorithm achieving rate-optimal regret guarantees in this setting. Our…

机器学习 · 计算机科学 2026-03-16 Antoine Moulin , Gergely Neu , Luca Viano

We study robust Markov decision processes (RMDPs) with general policy parameterization under s-rectangular and non-rectangular uncertainty sets. Prior work is largely limited to tabular policies, and hence either lacks sample complexity…

机器学习 · 计算机科学 2026-02-13 Anirudh Satheesh , Ziyi Chen , Furong Huang , Heng Huang

Heterogeneity poses a fundamental challenge for many real-world large-scale decision-making problems but remains largely understudied. In this paper, we study the fully heterogeneous setting of a prominent class of such problems, known as…

机器学习 · 计算机科学 2026-01-16 Xiangcheng Zhang , Yige Hong , Weina Wang

Reinforcement learning usually assumes a given or sometimes even fixed environment in which an agent seeks an optimal policy to maximize its long-term discounted reward. In contrast, we consider agents that are not limited to passive…

机器学习 · 计算机科学 2025-10-20 Ziqing Lu , Babak Hassibi , Lifeng Lai , Weiyu Xu

We consider a finite number of $N$ statistically equal agents, each moving on a finite set of states according to a continuous-time Markov Decision Process (MDP). Transition intensities of the agents and generated rewards depend not only on…

概率论 · 数学 2025-09-23 Nicole Bäuerle , Sebastian Höfer

A common setting of reinforcement learning (RL) is a Markov decision process (MDP) in which the environment is a stochastic discrete-time dynamical system. Whereas MDPs are suitable in such applications as video-games or puzzles, physical…

机器人学 · 计算机科学 2022-11-29 Pavel Osinenko , Dmitrii Dobriborsci , Grigory Yaremenko , Georgiy Malaniya

In this paper, we propose a generalized conditional gradient method for multiobjective optimization, which can be viewed as an improved extension of the classical Frank-Wolfe (conditional gradient) method for single-objective optimization.…

最优化与控制 · 数学 2025-03-25 Anteneh Getachew Gebrie , Ellen Hidemi Fukuda

To date, distributional reinforcement learning (distributional RL) methods have exclusively focused on the discounted setting, where an agent aims to optimize a discounted sum of rewards over time. In this work, we extend distributional RL…

机器学习 · 计算机科学 2026-01-14 Juan Sebastian Rojas , Chi-Guhn Lee

This paper deals with the long run average continuous control problem of piecewise deterministic Markov processes (PDMP's) taking values in a general Borel space and with compact action space depending on the state variable. The control…

概率论 · 数学 2008-09-03 O. L. V. Costa , F. Dufour

Markov decision processes (MDPs) are widely used in modeling decision making problems in stochastic environments. However, precise specification of the reward functions in MDPs is often very difficult. Recent approaches have focused on…

人工智能 · 计算机科学 2012-02-20 Eunsoo Oh , Kee-Eung Kim

We consider the problem of controlling a Markov decision process (MDP) with a large state space, so as to minimize average cost. Since it is intractable to compete with the optimal policy for large scale problems, we pursue the more modest…

最优化与控制 · 数学 2014-02-28 Yasin Abbasi-Yadkori , Peter L. Bartlett , Alan Malek

We are interested in risk constraints for infinite horizon discrete time Markov decision processes (MDPs). Starting with average reward MDPs, we show that increasing concave stochastic dominance constraints on the empirical distribution of…

最优化与控制 · 数学 2012-06-21 William B. Haskell , Rahul Jain
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