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Decision-making under uncertainty is a crucial ability for autonomous systems. In its most general form, this problem can be formulated as a Partially Observable Markov Decision Process (POMDP). The solution policy of a POMDP can be…

Robotics · Computer Science 2019-04-09 Sung-Kyun Kim , Rohan Thakker , Ali-akbar Agha-mohammadi

Non-stationary domains, that change in unpredicted ways, are a challenge for agents searching for optimal policies in sequential decision-making problems. This paper presents a combination of Markov Decision Processes (MDP) with Answer Set…

Artificial Intelligence · Computer Science 2017-06-06 Leonardo A. Ferreira , Reinaldo A. C. Bianchi , Paulo E. Santos , Ramon Lopez de Mantaras

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

The threats posed by evolving cyberattacks have led to increased research related to software systems that can self-protect. One topic in this domain is Moving Target Defense (MTD), which changes software characteristics in the protected…

Software Engineering · Computer Science 2023-08-10 Ryan Liu , Ladan Tahvildari

In many engineering systems, proper predictive maintenance and operational control are essential to increase efficiency and reliability while reducing maintenance costs. However, one of the major challenges is that many sensors are used for…

Applications · Statistics 2025-12-09 Boyang Xu , Yunyi Kang , Xinyu Zhao , Hao Yan , Feng Ju

The distributionally robust Markov Decision Process (MDP) approach asks for a distributionally robust policy that achieves the maximal expected total reward under the most adversarial distribution of uncertain parameters. In this paper, we…

Systems and Control · Computer Science 2018-10-10 Zhi Chen , Pengqian Yu , William B. Haskell

Markov decision processes (MDPs) are widely used for modeling decision-making problems in robotics, automated control, and economics. Traditional MDPs assume that the decision maker (DM) knows all states and actions. However, this may not…

Artificial Intelligence · Computer Science 2014-07-29 Joseph Y. Halpern , Nan Rong , Ashutosh Saxena

Markov decision processes (MDPs) are widely used for modeling decision-making problems in robotics, automated control, and economics. Traditional MDPs assume that the decision maker (DM) knows all states and actions. However, this may not…

Artificial Intelligence · Computer Science 2010-06-14 Joseph Y. Halpern , Nan Rong , Ashutosh Saxena

Robust Markov Decision Processes (MDPs) are receiving much attention in learning a robust policy which is less sensitive to environment changes. There are an increasing number of works analyzing sample-efficiency of robust MDPs. However,…

Machine Learning · Statistics 2023-09-13 Wenhao Yang , Han Wang , Tadashi Kozuno , Scott M. Jordan , Zhihua Zhang

We address the problem of controlling a mobile robot to explore a partially known environment. The robot's objective is the maximization of the amount of information collected about the environment. We formulate the problem as a partially…

Robotics · Computer Science 2017-03-08 Mikko Lauri , Risto Ritala

Robust Markov Decision Processes (MDPs) are a powerful framework for modeling sequential decision-making problems with model uncertainty. This paper proposes the first first-order framework for solving robust MDPs. Our algorithm interleaves…

Optimization and Control · Mathematics 2021-01-18 Julien Grand-Clément , Christian Kroer

The goal of a traditional Markov decision process (MDP) is to maximize expected cumulative reward over a defined horizon (possibly infinite). In many applications, however, a decision maker may be interested in optimizing a specific…

Artificial Intelligence · Computer Science 2025-10-16 Xiaocheng Li , Huaiyang Zhong , Margaret L. Brandeau

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.…

Artificial Intelligence · Computer Science 2013-01-30 Regis Sabbadin

This paper studies the risk-averse mean-variance optimization in infinite-horizon discounted Markov decision processes (MDPs). The involved variance metric concerns reward variability during the whole process, and future deviations are…

Optimization and Control · Mathematics 2022-01-19 Shuai Ma , Xiaoteng Ma , Li Xia

Information-theoretic principles for learning and acting have been proposed to solve particular classes of Markov Decision Problems. Mathematically, such approaches are governed by a variational free energy principle and allow solving MDP…

Artificial Intelligence · Computer Science 2016-04-08 Jordi Grau-Moya , Felix Leibfried , Tim Genewein , Daniel A. Braun

We develop a generic policy gradient method with the global optimality guarantee for robust Markov Decision Processes (MDPs). While policy gradient methods are widely used for solving dynamic decision problems due to their scalable and…

Machine Learning · Computer Science 2024-11-01 Qiuhao Wang , Shaohang Xu , Chin Pang Ho , Marek Petrik

In this work, we consider an online robust Markov Decision Process (MDP) where we have the information of finitely many prototypes of the underlying transition kernel. We consider an adaptively updated ambiguity set of the prototypes and…

Machine Learning · Computer Science 2024-12-20 Shuo Sun , Meng Qi , Zuo-Jun Max Shen

A Budgeted Markov Decision Process (BMDP) is an extension of a Markov Decision Process to critical applications requiring safety constraints. It relies on a notion of risk implemented in the shape of a cost signal constrained to lie below…

Machine Learning · Computer Science 2019-05-29 Nicolas Carrara , Edouard Leurent , Romain Laroche , Tanguy Urvoy , Odalric-Ambrym Maillard , Olivier Pietquin

Sequential decisions in volatile, high-stakes settings require more than maximizing expected return; they require principled uncertainty management. This paper presents the Uncertainty-Aware Markov Decision Process (UAMDP), a unified…

Machine Learning · Computer Science 2025-12-19 Michal Koren , Or Peretz , Tai Dinh , Philip S. Yu

Partially observable Markov decision processes (POMDPs) have recently become popular among many AI researchers because they serve as a natural model for planning under uncertainty. Value iteration is a well-known algorithm for finding…

Artificial Intelligence · Computer Science 2011-06-02 N. L. Zhang , W. Zhang