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We consider large-scale Markov decision processes (MDPs) with parameter uncertainty, under the robust MDP paradigm. Previous studies showed that robust MDPs, based on a minimax approach to handle uncertainty, can be solved using dynamic…

机器学习 · 计算机科学 2013-06-27 Aviv Tamar , Huan Xu , Shie Mannor

We consider the problem of designing policies for Markov decision processes (MDPs) with dynamic coherent risk objectives and constraints. We begin by formulating the problem in a Lagrangian framework. Under the assumption that the risk…

人工智能 · 计算机科学 2021-03-30 Mohamadreza Ahmadi , Ugo Rosolia , Michel D. Ingham , Richard M. Murray , Aaron D. Ames

We consider discounted infinite-horizon constrained Markov decision processes (CMDPs), where the goal is to find an optimal policy that maximizes the expected cumulative reward while satisfying expected cumulative constraints. Motivated by…

机器学习 · 计算机科学 2025-03-04 Tingting Ni , Maryam Kamgarpour

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

This paper studies parametric Markov decision processes (pMDPs), an extension to Markov decision processes (MDPs) where transitions probabilities are described by polynomials over a finite set of parameters. Fixing values for all parameters…

计算机科学中的逻辑 · 计算机科学 2019-04-03 Tobias Winkler , Sebastian Junges , Guillermo A. Pérez , Joost-Pieter Katoen

A tenet of reinforcement learning is that the agent always observes rewards. However, this is not true in many realistic settings, e.g., a human observer may not always be available to provide rewards, sensors may be limited or…

机器学习 · 计算机科学 2026-03-24 Alireza Kazemipour , Simone Parisi , Matthew E. Taylor , Michael Bowling

This paper addresses objectives tailored to the risk-averse optimization of accumulated rewards in Markov decision processes (MDPs). The studied objectives require maximizing the expected value of the accumulated rewards minus a penalty…

计算机科学中的逻辑 · 计算机科学 2024-07-10 Christel Baier , Jakob Piribauer , Maximilian Starke

We study Markov decision processes (MDPs) with a countably infinite number of states. The $\limsup$ (resp. $\liminf$) threshold objective is to maximize the probability that the $\limsup$ (resp. $\liminf$) of the infinite sequence of…

最优化与控制 · 数学 2024-09-19 Richard Mayr , Eric Munday

We propose solution methods for previously-unsolved constrained MDPs in which actions can continuously modify the transition probabilities within some acceptable sets. While many methods have been proposed to solve regular MDPs with large…

人工智能 · 计算机科学 2013-09-27 Marek Petrik , Dharmashankar Subramanian , Janusz Marecki

Chance Constrained Markov Decision Processes maximize reward subject to a bounded probability of failure, and have been frequently applied for planning with potentially dangerous outcomes or unknown environments. Solution algorithms have…

人工智能 · 计算机科学 2018-09-06 Benjamin J Ayton , Brian C Williams

In many real-world decision problems there is partially observed, hidden or latent information that remains fixed throughout an interaction. Such decision problems can be modeled as Latent Markov Decision Processes (LMDPs), where a latent…

机器学习 · 计算机科学 2024-06-27 Jeongyeol Kwon , Shie Mannor , Constantine Caramanis , Yonathan Efroni

Efficient representations and solutions for large decision problems with continuous and discrete variables are among the most important challenges faced by the designers of automated decision support systems. In this paper, we describe a…

人工智能 · 计算机科学 2011-10-04 C. Guestrin , M. Hauskrecht , B. Kveton

Partially Observable Markov Decision Processes (POMDPs) provide an efficient way to model real-world sequential decision making processes. Motivated by the problem of maintenance and inspection of a group of infrastructure components with…

最优化与控制 · 数学 2024-08-15 Manav Vora , Pranay Thangeda , Michael N. Grussing , Melkior Ornik

This work considers the sample complexity of obtaining an $\varepsilon$-optimal policy in an average reward Markov Decision Process (AMDP), given access to a generative model (simulator). When the ground-truth MDP is weakly communicating,…

机器学习 · 计算机科学 2022-12-02 Jinghan Wang , Mengdi Wang , Lin F. Yang

Procedural content generation often requires satisfying both designer-specified objectives and adjacency constraints implicitly imposed by the underlying tile set. To address the challenges of jointly optimizing both constraints and…

人工智能 · 计算机科学 2026-01-27 Franklin Yiu , Mohan Lu , Nina Li , Kevin Joseph , Tianxu Zhang , Julian Togelius , Timothy Merino , Sam Earle

Learning a near optimal policy in a partially observable system remains an elusive challenge in contemporary reinforcement learning. In this work, we consider episodic reinforcement learning in a reward-mixing Markov decision process (MDP).…

机器学习 · 计算机科学 2022-02-01 Jeongyeol Kwon , Yonathan Efroni , Constantine Caramanis , Shie Mannor

We formalize the problem of maximizing the mean-payoff value with high probability while satisfying a parity objective in a Markov decision process (MDP) with unknown probabilistic transition function and unknown reward function. Assuming…

人工智能 · 计算机科学 2018-08-24 Jan Křetínský , Guillermo A. Pérez , Jean-François Raskin

This paper shows that the optimal policy and value functions of a Markov Decision Process (MDP), either discounted or not, can be captured by a finite-horizon undiscounted Optimal Control Problem (OCP), even if based on an inexact model.…

系统与控制 · 电气工程与系统科学 2023-02-08 Arash Bahari Kordabad , Mario Zanon , Sebastien Gros

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

机器学习 · 计算机科学 2024-09-25 Woojin Chae , Dabeen Lee

This paper proposes a comprehensive hierarchical control framework for autonomous decision-making arising in robotics and autonomous systems. In a typical hierarchical control architecture, high-level decision making is often characterised…

系统与控制 · 电气工程与系统科学 2024-09-21 Xue-Fang Wang , Jingjing Jiang , Wen-Hua Chen