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Multi-agent planning under stochastic dynamics is usually formalised using decentralized (partially observable) Markov decision processes ( MDPs) and reachability or expected reward specifications. In this paper, we propose a different…

计算机科学中的逻辑 · 计算机科学 2025-02-20 Francesco Pontiggia , Filip Macák , Roman Andriushchenko , Michele Chiari , Milan Češka

Sample-efficient exploration is crucial not only for discovering rewarding experiences but also for adapting to environment changes in a task-agnostic fashion. A principled treatment of the problem of optimal input synthesis for system…

机器学习 · 计算机科学 2019-10-10 Matthias Schultheis , Boris Belousov , Hany Abdulsamad , Jan Peters

Partially observable Markov decision processes (POMDPs) provide an elegant mathematical framework for modeling complex decision and planning problems in stochastic domains in which states of the system are observable only indirectly, via a…

人工智能 · 计算机科学 2011-06-02 M. Hauskrecht

We study planning problems where autonomous agents operate inside environments that are subject to uncertainties and not fully observable. Partially observable Markov decision processes (POMDPs) are a natural formal model to capture such…

人工智能 · 计算机科学 2018-02-28 Steven Carr , Nils Jansen , Ralf Wimmer , Jie Fu , Ufuk Topcu

Markov decision processes (MDPs) describe sequential decision-making processes; MDP policies return for every state in that process an advised action. Classical algorithms can efficiently compute policies that are optimal with respect to,…

计算机科学中的逻辑 · 计算机科学 2025-05-23 Roman Andriushchenko , Milan Češka , Sebastian Junges , Filip Macák

We introduce a framework for approximate analysis of Markov decision processes (MDP) with bounded-, unbounded-, and infinite-horizon properties. The main idea is to identify a "core" of an MDP, i.e., a subsystem where we provably remain…

系统与控制 · 电气工程与系统科学 2023-06-22 Jan Křetínský , Tobias Meggendorfer

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

This paper presents a hybrid online Partially Observable Markov Decision Process (POMDP) planning system that addresses the problem of autonomous navigation in the presence of multi-modal uncertainty introduced by other agents in the…

机器人学 · 计算机科学 2022-06-22 Himanshu Gupta , Bradley Hayes , Zachary Sunberg

Markov decision process (MDP) is a decision making framework where a decision maker is interested in maximizing the expected discounted value of a stream of rewards received at future stages at various states which are visited according to…

最优化与控制 · 数学 2022-12-19 Hoang Nam Nguyen , Abdel Lisser , Vikas Vikram Singh

Integrated task and motion planning has emerged as a challenging problem in sequential decision making, where a robot needs to compute high-level strategy and low-level motion plans for solving complex tasks. While high-level strategies…

人工智能 · 计算机科学 2018-02-19 Siddharth Srivastava , Nishant Desai , Richard Freedman , Shlomo Zilberstein

Partially Observable Markov Decision Processes (POMDPs) are a powerful framework for planning under uncertainty. They allow to model state uncertainty as a belief probability distribution. Approximate solvers based on Monte Carlo sampling…

人工智能 · 计算机科学 2024-03-01 Daniele Meli , Alberto Castellini , Alessandro Farinelli

We present a unified framework based on primal-dual stochastic mirror descent for approximately solving infinite-horizon Markov decision processes (MDPs) given a generative model. When applied to an average-reward MDP with $A_{tot}$ total…

机器学习 · 计算机科学 2020-08-31 Yujia Jin , Aaron Sidford

A large class of decision making under uncertainty problems can be described via Markov decision processes (MDPs) or partially observable MDPs (POMDPs), with application to artificial intelligence and operations research, among others.…

人工智能 · 计算机科学 2021-09-10 Mohamadreza Ahmadi , Ugo Rosolia , Michel D. Ingham , Richard M. Murray , Aaron D. Ames

We consider a planning problem where the dynamics and rewards of the environment depend on a hidden static parameter referred to as the context. The objective is to learn a strategy that maximizes the accumulated reward across all contexts.…

机器学习 · 统计学 2015-02-10 Assaf Hallak , Dotan Di Castro , Shie Mannor

Markov decision processes (MDPs) are a fundamental model for decision making under uncertainty. They exhibit non-deterministic choice as well as probabilistic uncertainty. Traditionally, verification algorithms assume exact knowledge of the…

人工智能 · 计算机科学 2025-04-18 Tobias Meggendorfer , Maximilian Weininger , Patrick Wienhöft

Factored Markov decision processes (MDPs) are a prominent paradigm within the artificial intelligence community for modeling and solving large-scale MDPs whose rewards and dynamics decompose into smaller, loosely interacting components.…

最优化与控制 · 数学 2024-04-03 Huikang Liu , Wolfram Wiesemann , Man-Chung Yue

We consider infinite-horizon Markov Decision Processes where parameters, such as transition probabilities, are unknown and estimated from data. The popular distributionally robust approach to addressing the parameter uncertainty can…

系统与控制 · 电气工程与系统科学 2024-12-23 Yifan Lin , Enlu Zhou

Partially Observable Markov Decision Processes (POMDPs) are systems in which one agent interacts with a stochastic environment, and receives only partial information about the current state. In a multi-environment POMDP (MEPOMDP), the…

人工智能 · 计算机科学 2026-05-11 Léonard Brice , Filip Cano , Krishnendu Chatterjee , Thomas A. Henzinger , Stefanie Muroya

Planning under uncertainty is a central problem in the study of automated sequential decision making, and has been addressed by researchers in many different fields, including AI planning, decision analysis, operations research, control…

人工智能 · 计算机科学 2011-05-30 C. Boutilier , T. Dean , S. Hanks

We consider the problem of approximating the reachability probabilities in Markov decision processes (MDP) with uncountable (continuous) state and action spaces. While there are algorithms that, for special classes of such MDP, provide a…

系统与控制 · 电气工程与系统科学 2022-07-13 Kush Grover , Jan Křetínský , Tobias Meggendorfer , Maximilian Weininger