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Planning robust executions under uncertainty is a fundamental challenge for building autonomous robots. Partially Observable Markov Decision Processes (POMDPs) provide a standard framework for modeling uncertainty in many applications. In…

机器人学 · 计算机科学 2018-05-10 Yue Wang , Swarat Chaudhuri , Lydia E. Kavraki

There are no computationally feasible algorithms that provide solutions to the finite horizon Risk-sensitive Constrained Markov Decision Process (Risk-CMDP) problem, even for problems with moderate horizon. With an aim to design the same,…

最优化与控制 · 数学 2023-03-27 Vartika Singh , Veeraruna Kavitha

Reinforcement Learning (RL) agents can solve diverse tasks but often exhibit unsafe behavior. Constrained Markov Decision Processes (CMDPs) address this by enforcing safety constraints, yet existing methods either sacrifice reward…

机器学习 · 计算机科学 2025-08-18 Nikola Milosevic , Johannes Müller , Nico Scherf

Standard planners for sequential decision making (including Monte Carlo planning, tree search, dynamic programming, etc.) are constrained by an implicit sequential planning assumption: The order in which a plan is constructed is the same in…

We consider a class of partially observable Markov decision processes (POMDPs) with uncertain transition and/or observation probabilities. The uncertainty takes the form of probability intervals. Such uncertain POMDPs can be used, for…

系统与控制 · 计算机科学 2018-07-12 Mohamadreza Ahmadi , Murat Cubuktepe , Nils Jansen , Ufuk Topcu

Leveraging the power of a graph neural network (GNN) with message passing, we present a Monte Carlo Tree Search (MCTS) method to solve stochastic orienteering problems with chance constraints. While adhering to an assigned travel budget the…

机器人学 · 计算机科学 2025-08-19 Marcos Abel Zuzuárregui , Stefano Carpin

Constrained Markov Decision Process (CMDP) is a natural framework for reinforcement learning tasks with safety constraints, where agents learn a policy that maximizes the long-term reward while satisfying the constraints on the long-term…

人工智能 · 计算机科学 2018-02-20 Qingkai Liang , Fanyu Que , Eytan Modiano

Bayes-optimal behavior, while well-defined, is often difficult to achieve. Recent advances in the use of Monte-Carlo tree search (MCTS) have shown that it is possible to act near-optimally in Markov Decision Processes (MDPs) with very large…

人工智能 · 计算机科学 2012-02-20 John Asmuth , Michael L. Littman

We study the Safe Reinforcement Learning (SRL) problem using the Constrained Markov Decision Process (CMDP) formulation in which an agent aims to maximize the expected total reward subject to a safety constraint on the expected total value…

机器学习 · 计算机科学 2020-10-27 Dongsheng Ding , Xiaohan Wei , Zhuoran Yang , Zhaoran Wang , Mihailo R. Jovanović

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

Autonomous vehicles have to navigate the surrounding environment with partial observability of other objects sharing the road. Sources of uncertainty in autonomous vehicle measurements include sensor fusion errors, limited sensor range due…

人工智能 · 计算机科学 2018-12-05 Mohammad Naghshvar , Ahmed K. Sadek , Auke J. Wiggers

Autonomous systems are often required to operate in partially observable environments. They must reliably execute a specified objective even with incomplete information about the state of the environment. We propose a methodology to…

人工智能 · 计算机科学 2020-01-14 Maxime Bouton , Jana Tumova , Mykel J. Kochenderfer

We consider the reinforcement learning problem for the constrained Markov decision process (CMDP), which plays a central role in satisfying safety or resource constraints in sequential learning and decision-making. In this problem, we are…

机器学习 · 计算机科学 2025-11-19 Jiashuo Jiang , Yinyu Ye

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

The partially observable Markov decision process (POMDP) provides a principled general framework for planning under uncertainty, but solving POMDPs optimally is computationally intractable, due to the "curse of dimensionality" and the…

人工智能 · 计算机科学 2017-09-20 Nan Ye , Adhiraj Somani , David Hsu , Wee Sun Lee

Partially observable Markov decision processes (POMDPs) have been widely used in many robotic applications for sequential decision-making under uncertainty. POMDP online planning algorithms such as Partially Observable Monte-Carlo Planning…

人工智能 · 计算机科学 2024-03-05 Shili Sheng , David Parker , Lu Feng

This work investigates the challenge of ensuring safety guarantees in the presence of uncontrollable agents, whose behaviors are stochastic and depend on both their own and the system's states. We present a neural model predictive control…

系统与控制 · 电气工程与系统科学 2026-04-21 Shuqi Wang , Mingyang Feng , Yu Chen , Yue Gao , Xiang Yin

In the theory of Partially Observed Markov Decision Processes (POMDPs), existence of optimal policies have in general been established via converting the original partially observed stochastic control problem to a fully observed one on the…

最优化与控制 · 数学 2022-01-11 Ali Devran Kara , Serdar Yuksel

Autonomous agents are limited in their ability to observe the world state. Partially observable Markov decision processes (POMDPs) formally model the problem of planning under world state uncertainty, but POMDPs with continuous actions and…

机器人学 · 计算机科学 2020-07-08 Dicong Qiu , Yibiao Zhao , Chris L. Baker

This paper addresses the problem of optimal control of robotic sensing systems aimed at autonomous information gathering in scenarios such as environmental monitoring, search and rescue, and surveillance and reconnaissance. The information…

系统与控制 · 计算机科学 2016-01-28 Mikko Lauri , Nikolay Atanasov , George J. Pappas , Risto Ritala