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Risk averse decision making under uncertainty in partially observable domains is a fundamental problem in AI and essential for reliable autonomous agents. In our case, the problem is modeled using partially observable Markov decision…

人工智能 · 计算机科学 2024-06-11 Yaacov Pariente , Vadim Indelman

Memoryless and finite-memory policies offer a practical alternative for solving partially observable Markov decision processes (POMDPs), as they operate directly in the output space rather than in the high-dimensional belief space. However,…

机器学习 · 计算机科学 2025-12-15 Roy van Zuijlen , Duarte Antunes

This note re-visits the rolling-horizon control approach to the problem of a Markov decision process (MDP) with infinite-horizon discounted expected reward criterion. Distinguished from the classical value-iteration approach, we develop an…

最优化与控制 · 数学 2022-06-07 Hyeong Soo Chang

The robust constrained Markov decision process (RCMDP) is a recent task-modelling framework for reinforcement learning that incorporates behavioural constraints and that provides robustness to errors in the transition dynamics model through…

机器学习 · 计算机科学 2024-05-16 David M. Bossens

In this work, we focus on the problem of safe policy transfer in reinforcement learning: we seek to leverage existing policies when learning a new task with specified constraints. This problem is important for safety-critical applications…

机器学习 · 计算机科学 2022-11-11 Zeyu Feng , Bowen Zhang , Jianxin Bi , Harold Soh

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

Planning under partial obervability is essential for autonomous robots. A principled way to address such planning problems is the Partially Observable Markov Decision Process (POMDP). Although solving POMDPs is computationally intractable,…

机器人学 · 计算机科学 2019-07-24 Marcus Hoerger , Hanna Kurniawati , Alberto Elfes

We study policy optimization in an infinite horizon, $\gamma$-discounted constrained Markov decision process (CMDP). Our objective is to return a policy that achieves large expected reward with a small constraint violation. We consider the…

机器学习 · 计算机科学 2022-04-12 Arushi Jain , Sharan Vaswani , Reza Babanezhad , Csaba Szepesvari , Doina Precup

This paper introduces a simple efficient learning algorithms for general sequential decision making. The algorithm combines Optimism for exploration with Maximum Likelihood Estimation for model estimation, which is thus named OMLE. We prove…

机器学习 · 计算机科学 2022-11-24 Qinghua Liu , Praneeth Netrapalli , Csaba Szepesvári , Chi Jin

We study an approximation method for partially observed Markov decision processes (POMDPs) with continuous spaces. Belief MDP reduction, which has been the standard approach to study POMDPs requires rigorous approximation methods for…

最优化与控制 · 数学 2025-01-20 Ali Devran Kara , Erhan Bayraktar , Serdar Yuksel

In this work, we study dynamic programming (DP) algorithms for partially observable Markov decision processes with jointly continuous and discrete state-spaces. We consider a class of stochastic systems which have coupled discrete and…

最优化与控制 · 数学 2019-03-07 Donghwan Lee , Niao He , Jianghai Hu

This paper investigates manipulation of multiple unknown objects in a crowded environment. Because of incomplete knowledge due to unknown objects and occlusions in visual observations, object observations are imperfect and action success is…

机器人学 · 计算机科学 2014-07-09 Joni Pajarinen , Ville Kyrki

Markov Decision Problems (MDPs) provide a foundational framework for modelling sequential decision-making across diverse domains, guided by optimality criteria such as discounted and average rewards. However, these criteria have inherent…

人工智能 · 计算机科学 2025-08-26 Dibyangshu Mukherjee , Shivaram Kalyanakrishnan

To plan safely in uncertain environments, agents must balance utility with safety constraints. Safe planning problems can be modeled as a chance-constrained partially observable Markov decision process (CC-POMDP) and solutions often use…

人工智能 · 计算机科学 2024-05-02 Robert J. Moss , Arec Jamgochian , Johannes Fischer , Anthony Corso , Mykel J. Kochenderfer

Constrained Markov decision processes (CMDPs) model scenarios of sequential decision making with multiple objectives that are increasingly important in many applications. However, the model is often unknown and must be learned online while…

机器学习 · 计算机科学 2023-01-30 Krishna C Kalagarla , Rahul Jain , Pierluigi Nuzzo

This paper proposes an offline control algorithm, called Recurrent Model Predictive Control (RMPC), to solve large-scale nonlinear finite-horizon optimal control problems. It can be regarded as an explicit solver of traditional Model…

系统与控制 · 电气工程与系统科学 2022-04-11 Zhengyu Liu , Jingliang Duan , Wenxuan Wang , Shengbo Eben Li , Yuming Yin , Ziyu Lin , Bo Cheng

We consider synthesis of control policies that maximize the probability of satisfying given temporal logic specifications in unknown, stochastic environments. We model the interaction between the system and its environment as a Markov…

系统与控制 · 计算机科学 2014-05-01 Jie Fu , Ufuk Topcu

We show that for several variations of partially observable Markov decision processes, polynomial-time algorithms for finding control policies are unlikely to or simply don't have guarantees of finding policies within a constant factor or a…

人工智能 · 计算机科学 2011-06-02 J. Goldsmith , C. Lusena , M. Mundhenk

We consider the challenge of finding a deterministic policy for a Markov decision process that uniformly (in all states) maximizes one reward subject to a probabilistic constraint over a different reward. Existing solutions do not fully…

机器学习 · 计算机科学 2022-01-21 Jaeyoung Lee , Sean Sedwards , Krzysztof Czarnecki

We propose a novel generalization of constrained Markov decision processes (CMDPs) that we call the \emph{semi-infinitely constrained Markov decision process} (SICMDP). Particularly, we consider a continuum of constraints instead of a…

机器学习 · 计算机科学 2023-05-02 Liangyu Zhang , Yang Peng , Wenhao Yang , Zhihua Zhang