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The specification of aMarkov decision process (MDP) can be difficult. Reward function specification is especially problematic; in practice, it is often cognitively complex and time-consuming for users to precisely specify rewards. This work…

人工智能 · 计算机科学 2012-05-14 Kevin Regan , Craig Boutilier

We consider the problem: is the optimal expected total reward to reach a goal state in a partially observable Markov decision process (POMDP) below a given threshold? We tackle this -- generally undecidable -- problem by computing…

人工智能 · 计算机科学 2022-01-24 Alexander Bork , Joost-Pieter Katoen , Tim Quatmann

This paper proposes a computationally tractable algorithm for learning infinite-horizon average-reward linear mixture Markov decision processes (MDPs) under the Bellman optimality condition. Our algorithm for linear mixture MDPs achieves a…

机器学习 · 计算机科学 2024-10-22 Woojin Chae , Kihyuk Hong , Yufan Zhang , Ambuj Tewari , Dabeen Lee

Modern machine learning models are often constructed taking into account multiple objectives, e.g., minimizing inference time while also maximizing accuracy. Multi-objective hyperparameter optimization (MHPO) algorithms return such…

In this paper, we show the convergence rates of posterior distributions of the model dynamics in a MDP for both episodic and continuous tasks. The theoretical results hold for general state and action space and the parameter space of the…

统计理论 · 数学 2019-07-23 Zhen Li , Eric Laber

We consider the problem of reward learning for temporally extended tasks. For reward learning, inverse reinforcement learning (IRL) is a widely used paradigm. Given a Markov decision process (MDP) and a set of demonstrations for a task, IRL…

机器人学 · 计算机科学 2021-07-14 Farzan Memarian , Zhe Xu , Bo Wu , Min Wen , Ufuk Topcu

We propose and study a general framework for regularized Markov decision processes (MDPs) where the goal is to find an optimal policy that maximizes the expected discounted total reward plus a policy regularization term. The extant…

机器学习 · 统计学 2019-10-22 Xiang Li , Wenhao Yang , Zhihua Zhang

We consider a new form of reinforcement learning (RL) that is based on opportunities to directly learn the optimal control policy and a general Markov decision process (MDP) framework devised to support these opportunities. Derivations of…

机器学习 · 计算机科学 2021-04-02 Yingdong Lu , Mark S. Squillante , Chai Wah Wu

We study multi-robot persistent monitoring on weighted graphs, where node weights encode monitoring priorities and edge weights encode travel distances. The goal is to design joint robot trajectories that minimize the worst-case weighted…

机器人学 · 计算机科学 2026-05-12 Weizhen Wang , Ziheng Wang , Jianping He , Xinping Guan , Xiaoming Duan

Discrete-time Markov Chains (MCs) and Markov Decision Processes (MDPs) are two standard formalisms in system analysis. Their main associated quantitative objectives are hitting probabilities, discounted sum, and mean payoff. Although there…

数据结构与算法 · 计算机科学 2020-04-21 Ali Asadi , Krishnendu Chatterjee , Amir Kafshdar Goharshady , Kiarash Mohammadi , Andreas Pavlogiannis

In recent years, the integration of Automated Planning (AP) and Reinforcement Learning (RL) has seen a surge of interest. To perform this integration, a general framework for Sequential Decision Making (SDM) would prove immensely useful, as…

人工智能 · 计算机科学 2025-01-07 Carlos Núñez-Molina , Pablo Mesejo , Juan Fernández-Olivares

Given rationals $\alpha$ and $\beta$, the sure-almost-sure problem for a quantitative objective $\varphi$ in a Markov decision process (MDP) asks if one can simultaneously ensure that all outcomes of the MDP have $\varphi$-value at least…

计算机科学与博弈论 · 计算机科学 2026-05-13 Pranshu Gaba , Shibashis Guha

One major limitation to the applicability of Reinforcement Learning (RL) to many practical domains is the large number of samples required to learn an optimal policy. To address this problem and improve learning efficiency, we consider a…

机器学习 · 计算机科学 2023-08-07 Roberto Cipollone , Giuseppe De Giacomo , Marco Favorito , Luca Iocchi , Fabio Patrizi

We consider the problem of constrained Markov Decision Process (CMDP) where an agent interacts with a unichain Markov Decision Process. At every interaction, the agent obtains a reward. Further, there are $K$ cost functions. The agent aims…

机器学习 · 计算机科学 2022-06-22 Mridul Agarwal , Qinbo Bai , Vaneet Aggarwal

In reinforcement learning (RL), aligning agent behavior with specific objectives typically requires careful design of the reward function, which can be challenging when the desired objectives are complex. In this work, we propose an…

机器学习 · 计算机科学 2025-09-05 Yuting Tang , Yivan Zhang , Johannes Ackermann , Yu-Jie Zhang , Soichiro Nishimori , Masashi Sugiyama

We investigate an infinite-horizon average reward Markov Decision Process (MDP) with delayed, composite, and partially anonymous reward feedback. The delay and compositeness of rewards mean that rewards generated as a result of taking an…

机器学习 · 计算机科学 2023-08-29 Washim Uddin Mondal , Vaneet Aggarwal

This paper is devoted to fair optimization in Multiobjective Markov Decision Processes (MOMDPs). A MOMDP is an extension of the MDP model for planning under uncertainty while trying to optimize several reward functions simultaneously. This…

人工智能 · 计算机科学 2013-09-27 Patrice Perny , Paul Weng , Judy Goldsmith , Josiah Hanna

This work focuses on off-policy evaluation (OPE) with function approximation in infinite-horizon undiscounted Markov decision processes (MDPs). For MDPs that are ergodic and linear (i.e. where rewards and dynamics are linear in some known…

机器学习 · 计算机科学 2020-06-24 Nevena Lazic , Dong Yin , Mehrdad Farajtabar , Nir Levine , Dilan Gorur , Chris Harris , Dale Schuurmans

Transferring knowledge across a sequence of related tasks is an important challenge in reinforcement learning (RL). Despite much encouraging empirical evidence, there has been little theoretical analysis. In this paper, we study a class of…

机器学习 · 计算机科学 2015-09-23 Emma Brunskill , Lihong Li

Reinforcement Learning (RL) has gained substantial attention across diverse application domains and theoretical investigations. Existing literature on RL theory largely focuses on risk-neutral settings where the decision-maker learns to…

机器学习 · 计算机科学 2024-12-24 Zhengqi Wu , Renyuan Xu