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We propose empirical dynamic programming algorithms for Markov decision processes (MDPs). In these algorithms, the exact expectation in the Bellman operator in classical value iteration is replaced by an empirical estimate to get `empirical…

最优化与控制 · 数学 2013-11-26 William B. Haskell , Rahul Jain , Dileep Kalathil

Partially Observable Markov Decision Processes (POMDPs) are powerful models for sequential decision making under transition and observation uncertainties. This paper studies the challenging yet important problem in POMDPs known as the…

人工智能 · 计算机科学 2024-06-06 Qi Heng Ho , Martin S. Feather , Federico Rossi , Zachary N. Sunberg , Morteza Lahijanian

When human operators of cyber-physical systems encounter surprising behavior, they often consider multiple hypotheses that might explain it. In some cases, taking information-gathering actions such as additional measurements or control…

人工智能 · 计算机科学 2024-11-22 Ofer Dagan , Tyler Becker , Zachary N. Sunberg

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

Partially Observable Markov Decision Processes (POMDPs) are used to model environments where the full state cannot be perceived by an agent. As such the agent needs to reason taking into account the past observations and actions. However,…

机器学习 · 计算机科学 2023-10-27 Raphael Avalos , Florent Delgrange , Ann Nowé , Guillermo A. Pérez , Diederik M. Roijers

Optimal decision-making presents a significant challenge for autonomous systems operating in uncertain, stochastic and time-varying environments. Environmental variability over time can significantly impact the system's optimal decision…

机器人学 · 计算机科学 2024-03-11 Gokul Puthumanaillam , Xiangyu Liu , Negar Mehr , Melkior Ornik

In this article we propose a qualitative (ordinal) counterpart for the Partially Observable Markov Decision Processes model (POMDP) in which the uncertainty, as well as the preferences of the agent, are modeled by possibility distributions.…

人工智能 · 计算机科学 2013-01-30 Regis Sabbadin

We consider a change-point detection problem for a simple class of Piecewise Deterministic Markov Processes (PDMPs). A continuous-time PDMP is observed in discrete time and through noise, and the aim is to propose a numerical method to…

最优化与控制 · 数学 2017-09-28 Alice Cleynen , Benoîte de Saporta

We present a general framework for applying learning algorithms and heuristical guidance to the verification of Markov decision processes (MDPs). The primary goal of our techniques is to improve performance by avoiding an exhaustive…

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

Risk-averse decision-making under uncertainty in partially observable domains is a central challenge in artificial intelligence and is essential for developing reliable autonomous agents. The formal framework for such problems is the…

统计理论 · 数学 2026-02-27 Yaacov Pariente , Vadim Indelman

In this paper, we consider the problem of controlling a partially observed Markov decision process (POMDP) in order to actively estimate its state trajectory over a fixed horizon with minimal uncertainty. We pose a novel active smoothing…

系统与控制 · 电气工程与系统科学 2021-04-06 Timothy L. Molloy , Girish N. Nair

Autonomous agents that operate in the real world must often deal with partial observability, which is commonly modeled as partially observable Markov decision processes (POMDPs). However, traditional POMDP models rely on the assumption of…

人工智能 · 计算机科学 2023-08-03 Moran Barenboim , Idan Lev-Yehudi , Vadim Indelman

We propose a new approach to the problem of searching a space of policies for a Markov decision process (MDP) or a partially observable Markov decision process (POMDP), given a model. Our approach is based on the following observation: Any…

人工智能 · 计算机科学 2013-01-18 Andrew Y. Ng , Michael I. Jordan

Markov Decision Processes (MDPs) have been used to formulate many decision-making problems in science and engineering. The objective is to synthesize the best decision (action selection) policies to maximize expected rewards (or minimize…

最优化与控制 · 数学 2015-07-07 Mahmoud El Chamie , Behcet Acikmese

Possibilistic and qualitative POMDPs (pi-POMDPs) are counterparts of POMDPs used to model situations where the agent's initial belief or observation probabilities are imprecise due to lack of past experiences or insufficient data…

人工智能 · 计算机科学 2013-09-27 Nicolas Drougard , Florent Teichteil-Konigsbuch , Jean-Loup Farges , Didier Dubois

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

Real-world sequential decision making problems commonly involve partial observability, which requires the agent to maintain a memory of history in order to infer the latent states, plan and make good decisions. Coping with partial…

机器学习 · 计算机科学 2022-02-09 Yonathan Efroni , Chi Jin , Akshay Krishnamurthy , Sobhan Miryoosefi

In this paper we propose a novel algorithm, factored value iteration (FVI), for the approximate solution of factored Markov decision processes (fMDPs). The traditional approximate value iteration algorithm is modified in two ways. For one,…

人工智能 · 计算机科学 2008-08-13 Istvan Szita , Andras Lorincz

The synthesis problem for partially observable Markov decision processes (POMDPs) is to compute a policy that satisfies a given specification. Such policies have to take the full execution history of a POMDP into account, rendering the…

人工智能 · 计算机科学 2020-07-20 Leonore Winterer , Ralf Wimmer , Nils Jansen , Bernd Becker