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We present a heuristic search algorithm for solving first-order MDPs (FOMDPs). Our approach combines first-order state abstraction that avoids evaluating states individually, and heuristic search that avoids evaluating all states. Firstly,…

Artificial Intelligence · Computer Science 2014-08-12 Eldar Karabaev , Olga Skvortsova

Planning in partially observable Markov decision processes (POMDPs) remains a challenging topic in the artificial intelligence community, in spite of recent impressive progress in approximation techniques. Previous research has indicated…

Artificial Intelligence · Computer Science 2012-10-19 Zhongzhang Zhang , Xiaoping Chen

In this semi-tutorial paper, we first review the information-theoretic approach to account for the computational costs incurred during the search for optimal actions in a sequential decision-making problem. The traditional (MDP) framework…

Artificial Intelligence · Computer Science 2021-02-23 Daniel T. Larsson , Daniel Braun , Panagiotis Tsiotras

We adopt a policy optimization viewpoint towards policy evaluation for robust Markov decision process with $\mathrm{s}$-rectangular ambiguity sets. The developed method, named first-order policy evaluation (FRPE), provides the first unified…

Optimization and Control · Mathematics 2023-08-01 Yan Li , Guanghui Lan

The solution convergence of Markov Decision Processes (MDPs) can be accelerated by prioritized sweeping of states ranked by their potential impacts to other states. In this paper, we present new heuristics to speed up the solution…

Artificial Intelligence · Computer Science 2019-01-07 Shoubhik Debnath , Lantao Liu , Gaurav Sukhatme

Heuristic search is a powerful approach that has successfully been applied to a broad class of planning problems, including classical planning, multi-objective planning, and probabilistic planning modelled as a stochastic shortest path…

Artificial Intelligence · Computer Science 2024-10-29 Dillon Chen , Felipe Trevizan , Sylvie Thiébaux

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…

Partially Observable Markov Decision Processes (POMDPs) provide a rich framework for sequential decision-making under uncertainty in stochastic domains. However, solving a POMDP is often intractable except for small problems due to their…

Artificial Intelligence · Computer Science 2014-01-16 Stéphane Ross , Joelle Pineau , Sébastien Paquet , Brahim Chaib-draa

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 (minimize…

Optimization and Control · Mathematics 2015-07-08 Mahmoud El Chamie , Behcet Acikmese

Health-related data is noisy and stochastic in implying the true physiological states of patients, limiting information contained in single-moment observations for sequential clinical decision making. We model patient-clinician interactions…

Artificial Intelligence · Computer Science 2019-05-21 Luchen Li , Matthieu Komorowski , Aldo A. Faisal

Recent work on approximate linear programming (ALP) techniques for first-order Markov Decision Processes (FOMDPs) represents the value function linearly w.r.t. a set of first-order basis functions and uses linear programming techniques to…

Artificial Intelligence · Computer Science 2012-07-02 Scott Sanner , Craig Boutilier

Decentralized partially observable Markov decision processes (Dec-POMDPs) are rich models for cooperative decision-making under uncertainty, but are often intractable to solve optimally (NEXP-complete). The transition and observation…

Artificial Intelligence · Computer Science 2012-10-19 Jilles S. Dibangoye , Christopher Amato , Arnoud Doniec

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…

Artificial Intelligence · Computer Science 2024-06-06 Qi Heng Ho , Martin S. Feather , Federico Rossi , Zachary N. Sunberg , Morteza Lahijanian

We describe and evaluate the algorithmic techniques that are used in the FF planning system. Like the HSP system, FF relies on forward state space search, using a heuristic that estimates goal distances by ignoring delete lists. Unlike…

Artificial Intelligence · Computer Science 2011-06-06 J. Hoffmann , B. Nebel

In this paper, we consider planning in stochastic shortest path (SSP) problems, a subclass of Markov Decision Problems (MDP). We focus on medium-size problems whose state space can be fully enumerated. This problem has numerous important…

Artificial Intelligence · Computer Science 2012-06-18 Alejandro Isaza , Csaba Szepesvari , Vadim Bulitko , Russell Greiner

We consider an auto-scaling technique in a cloud system where virtual machines hosted on a physical node are turned on and off depending on the queue's occupation (or thresholds), in order to minimise a global cost integrating both energy…

Optimization and Control · Mathematics 2021-07-26 Thomas Tournaire , Hind Castel-Taleb , Emmanuel Hyon

Markov decision processes capture sequential decision making under uncertainty, where an agent must choose actions so as to optimize long term reward. The paper studies efficient reasoning mechanisms for Relational Markov Decision Processes…

Artificial Intelligence · Computer Science 2011-11-02 Chenggang Wang , Saket Joshi , Roni Khardon

This work develops novel strategies for optimal planning with semantic observations using continuous state partially observable markov decision processes (CPOMDPs). Two major innovations are presented in relation to Gaussian mixture (GM)…

Artificial Intelligence · Computer Science 2019-08-09 Luke Burks , Ian Loefgren , Nisar Ahmed

A new mechanism for efficiently solving the Markov decision processes (MDPs) is proposed in this paper. We introduce the notion of reachability landscape where we use the Mean First Passage Time (MFPT) as a means to characterize the…

Artificial Intelligence · Computer Science 2019-01-10 Shoubhik Debnath , Lantao Liu , Gaurav Sukhatme

Partially observable Markov decision processes (POMDP) are a useful model for decision-making under partial observability and stochastic actions. Partially Observable Monte-Carlo Planning is an online algorithm for deciding on the next…

Artificial Intelligence · Computer Science 2023-10-05 Oded Blumenthal , Guy Shani
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