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Partially observable Markov decision processes (POMDPs) provide a modeling framework for a variety of sequential decision making under uncertainty scenarios in artificial intelligence (AI). Since the states are not directly observable in a…

系统与控制 · 计算机科学 2019-05-21 Mohamadreza Ahmadi , Nils Jansen , Bo Wu , Ufuk Topcu

A labelled Markov decision process (MDP) is a labelled Markov chain with nondeterminism; i.e., together with a strategy a labelled MDP induces a labelled Markov chain. The model is related to interval Markov chains. Motivated by…

形式语言与自动机理论 · 计算机科学 2024-07-01 Stefan Kiefer , Qiyi Tang

We study the $(\varepsilon, \delta)$-PAC policy identification problem in finite-horizon episodic Markov Decision Processes. Existing approaches provide finite-time guarantees for approximate settings ($\varepsilon>0$) but suffer from high…

机器学习 · 计算机科学 2026-05-06 Cyrille Kone , Kevin Jamieson

In this paper, we propose a policy gradient method for confounded partially observable Markov decision processes (POMDPs) with continuous state and observation spaces in the offline setting. We first establish a novel identification result…

机器学习 · 统计学 2023-12-04 Mao Hong , Zhengling Qi , Yanxun Xu

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

Autonomous systems often have logical constraints arising, for example, from safety, operational, or regulatory requirements. Such constraints can be expressed using temporal logic specifications. The system state is often partially…

人工智能 · 计算机科学 2024-06-21 Krishna C. Kalagarla , Dhruva Kartik , Dongming Shen , Rahul Jain , Ashutosh Nayyar , Pierluigi Nuzzo

Markov decision processes (MDPs) are used to model a wide variety of applications ranging from game playing over robotics to finance. Their optimal policy typically maximizes the expected sum of rewards given at each step of the decision…

机器学习 · 计算机科学 2025-05-26 Maximilian Nägele , Jan Olle , Thomas Fösel , Remmy Zen , Florian Marquardt

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

Constrained decision-making is essential for designing safe policies in real-world control systems, yet simulated environments often fail to capture real-world adversities. We consider the problem of learning a policy that will maximize the…

机器学习 · 计算机科学 2026-02-10 Sourav Ganguly , Kishan Panaganti , Arnob Ghosh , Adam Wierman

In this review/tutorial article, we present recent progress on optimal control of partially observed Markov Decision Processes (POMDPs). We first present regularity and continuity conditions for POMDPs and their belief-MDP reductions, where…

最优化与控制 · 数学 2025-01-03 Ali Devran Kara , Serdar Yuksel

Policies for Partially Observable Markov Decision Processes (POMDPs) are often designed using a nominal system model. In practice, this model can deviate from the true system during deployment due to factors such as calibration drift or…

人工智能 · 计算机科学 2026-04-24 Benjamin Kraske , Qi Heng Ho , Federico Rossi , Morteza Lahijanian , Zachary Sunberg

Reinforcement learning is generally difficult for partially observable Markov decision processes (POMDPs), which occurs when the agent's observation is partial or noisy. To seek good performance in POMDPs, one strategy is to endow the agent…

机器学习 · 计算机科学 2021-11-19 Mario Geiger , Christophe Eloy , Matthieu Wyart

We consider the problem of optimally utilizing $N$ resources, each in an unknown binary state. The state of each resource can be inferred from state-dependent noisy measurements. Depending on its state, utilizing a resource results in…

系统与控制 · 计算机科学 2017-05-18 Lorenzo Ferrari , Qing Zhao , Anna Scaglione

Belief compression improves the tractability of large-scale partially observable Markov decision processes (POMDPs) by finding projections from high-dimensional belief space onto low-dimensional approximations, where solving to obtain…

人工智能 · 计算机科学 2015-08-06 Zhuoran Wang , Paul A. Crook , Wenshuo Tang , Oliver Lemon

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

A standard model that arises in several applications in sequential decision making is partially observable Markov decision processes (POMDPs) where a decision-making agent interacts with an uncertain environment. A basic objective in such…

计算复杂性 · 计算机科学 2025-06-16 Ali Asadi , Krishnendu Chatterjee , Raimundo Saona , Ali Shafiee

Human preferences are not always represented via complete linear orders: It is natural to employ partially-ordered preferences for expressing incomparable outcomes. In this work, we consider decision-making and probabilistic planning in…

机器人学 · 计算机科学 2024-10-21 Hazhar Rahmani , Abhishek N. Kulkarni , Jie Fu

In this paper, we study planning in stochastic systems, modeled as Markov decision processes (MDPs), with preferences over temporally extended goals. Prior work on temporal planning with preferences assumes that the user preferences form a…

机器人学 · 计算机科学 2023-03-09 Hazhar Rahmani , Abhishek N. Kulkarni , Jie Fu

We study the offline data-driven sequential decision making problem in the framework of Markov decision process (MDP). In order to enhance the generalizability and adaptivity of the learned policy, we propose to evaluate each policy by a…

统计理论 · 数学 2021-11-11 Zhengling Qi , Peng Liao

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