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This paper describes sufficient conditions for the existence of optimal policies for Partially Observable Markov Decision Processes (POMDPs) with Borel state, observation, and action sets and with the expected total costs. Action sets may…

最优化与控制 · 数学 2014-07-02 Eugene A. Feinberg , Pavlo O. Kasyanov , Michael Z. Zgurovsky

We consider a distributionally robust Partially Observable Markov Decision Process (DR-POMDP), where the distribution of the transition-observation probabilities is unknown at the beginning of each decision period, but their realizations…

最优化与控制 · 数学 2020-12-09 Hideaki Nakao , Ruiwei Jiang , Siqian Shen

Planning under uncertainty is critical to robotics. The Partially Observable Markov Decision Process (POMDP) is a mathematical framework for such planning problems. It is powerful due to its careful quantification of the non-deterministic…

机器人学 · 计算机科学 2021-07-19 Hanna Kurniawati

Optimal decision-making under partial observability requires agents to balance reducing uncertainty (exploration) against pursuing immediate objectives (exploitation). In this paper, we introduce a novel policy optimization framework for…

机器学习 · 计算机科学 2025-12-05 Hany Abdulsamad , Sahel Iqbal , Simo Särkkä

We consider a class of sequential decision-making problems under uncertainty that can encompass various types of supervised learning concepts. These problems have a completely observed state process and a partially observed modulation…

最优化与控制 · 数学 2021-08-24 R. Reid Bishop , Chelsea C. White

Many processes, such as discrete event systems in engineering or population dynamics in biology, evolve in discrete space and continuous time. We consider the problem of optimal decision making in such discrete state and action space…

机器学习 · 计算机科学 2020-10-27 Bastian Alt , Matthias Schultheis , Heinz Koeppl

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

We report the "Recurrent Deterioration" (RD) phenomenon observed in online recommender systems. The RD phenomenon is reflected by the trend of performance degradation when the recommendation model is always trained based on users' feedbacks…

人工智能 · 计算机科学 2016-09-02 Zhongqi Lu , Qiang Yang

Partially observable Markov decision processes (POMDPs) are standard models for dynamic systems with probabilistic and nondeterministic behaviour in uncertain environments. We prove that in POMDPs with long-run average objective, the…

计算机科学与博弈论 · 计算机科学 2022-09-29 Krishnendu Chatterjee , Raimundo Saona , Bruno Ziliotto

We introduce and study constrained Markov Decision Processes (cMDPs) with anytime constraints. An anytime constraint requires the agent to never violate its budget at any point in time, almost surely. Although Markovian policies are no…

机器学习 · 计算机科学 2024-06-14 Jeremy McMahan , Xiaojin Zhu

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

This article provides an introductory tutorial on structural results in partially observed Markov decision processes (POMDPs). Typically, computing the optimal policy of a POMDP is computationally intractable. We use lattice program- ming…

最优化与控制 · 数学 2015-12-15 Vikram Krishnamurthy

We consider partially observable Markov decision processes (POMDPs) with a set of target states and positive integer costs associated with every transition. The traditional optimization objective (stochastic shortest path) asks to minimize…

人工智能 · 计算机科学 2016-05-12 Tomáš Brázdil , Krishnendu Chatterjee , Martin Chmelík , Anchit Gupta , Petr Novotný

Partially Observable Markov Decision Processes (POMDPs) are a natural and general model in reinforcement learning that take into account the agent's uncertainty about its current state. In the literature on POMDPs, it is customary to assume…

机器学习 · 计算机科学 2022-03-24 Noah Golowich , Ankur Moitra , Dhruv Rohatgi

In many practical applications, decision-making processes must balance the costs of acquiring information with the benefits it provides. Traditional control systems often assume full observability, an unrealistic assumption when…

人工智能 · 计算机科学 2025-01-24 Taiyi Wang , Jianheng Liu , Bryan Lee , Zhihao Wu , Yu Wu

Uncertain partially observable Markov decision processes (uPOMDPs) allow the probabilistic transition and observation functions of standard POMDPs to belong to a so-called uncertainty set. Such uncertainty, referred to as epistemic…

人工智能 · 计算机科学 2021-11-02 Murat Cubuktepe , Nils Jansen , Sebastian Junges , Ahmadreza Marandi , Marnix Suilen , Ufuk Topcu

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

Noisy sensing, imperfect control, and environment changes are defining characteristics of many real-world robot tasks. The partially observable Markov decision process (POMDP) provides a principled mathematical framework for modeling and…

机器人学 · 计算机科学 2022-09-22 Mikko Lauri , David Hsu , Joni Pajarinen

There is much interest in using partially observable Markov decision processes (POMDPs) as a formal model for planning in stochastic domains. This paper is concerned with finding optimal policies for POMDPs. We propose several improvements…

人工智能 · 计算机科学 2013-02-01 Nevin Lianwen Zhang , Stephen S. Lee

In many operations management problems, we need to make decisions sequentially to minimize the cost while satisfying certain constraints. One modeling approach to study such problems is constrained Markov decision process (CMDP). When…

最优化与控制 · 数学 2021-01-27 Yi Chen , Jing Dong , Zhaoran Wang
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