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In cyber-physical systems such as automobiles, measurement data from sensor nodes should be delivered to other consumer nodes such as actuators in a regular fashion. But, in practical systems over unreliable media such as wireless, it is a…

Networking and Internet Architecture · Computer Science 2015-04-14 Xueying Guo , Rahul Singh , P. R. Kumar , Zhisheng Niu

In many real-world applications (e.g., planetary exploration, robot navigation), an autonomous agent must be able to explore a space with guaranteed safety. Most safe exploration algorithms in the field of reinforcement learning and…

Artificial Intelligence · Computer Science 2018-09-13 Akifumi Wachi , Hiroshi Kajino , Asim Munawar

Solving general Markov decision processes (MDPs) is a computationally hard problem. Solving finite-horizon MDPs, on the other hand, is highly tractable with well known polynomial-time algorithms. What drives this extreme disparity, and do…

Artificial Intelligence · Computer Science 2022-05-17 Thomas Spooner , Rui Silva , Joshua Lockhart , Jason Long , Vacslav Glukhov

Previous work on planning as active inference addresses finite horizon problems and solutions valid for online planning. We propose solving the general Stochastic Shortest-Path Markov Decision Process (SSP MDP) as probabilistic inference.…

Machine Learning · Computer Science 2021-09-14 Mohamed Baioumy , Bruno Lacerda , Paul Duckworth , Nick Hawes

This paper presents a decentralized, online planning approach for scalable maneuver planning for large constellations. While decentralized, rule-based strategies have facilitated efficient scaling, optimal decision-making algorithms for…

Robotics · Computer Science 2025-01-07 William Kuhl , Jun Wang , Duncan Eddy , Mykel Kochenderfer

This paper proposes a comprehensive hierarchical control framework for autonomous decision-making arising in robotics and autonomous systems. In a typical hierarchical control architecture, high-level decision making is often characterised…

Systems and Control · Electrical Eng. & Systems 2024-09-21 Xue-Fang Wang , Jingjing Jiang , Wen-Hua Chen

It is well known that for any finite state Markov decision process (MDP) there is a memoryless deterministic policy that maximizes the expected reward. For partially observable Markov decision processes (POMDPs), optimal memoryless policies…

Optimization and Control · Mathematics 2016-02-16 Guido Montufar , Keyan Ghazi-Zahedi , Nihat Ay

Canonical models of Markov decision processes (MDPs) usually consider geometric discounting based on a constant discount factor. While this standard modeling approach has led to many elegant results, some recent studies indicate the…

Artificial Intelligence · Computer Science 2023-07-21 Jiarui Gan , Annika Hennes , Rupak Majumdar , Debmalya Mandal , Goran Radanovic

Interval Markov Decision Processes (IMDPs) are finite-state uncertain Markov models, where the transition probabilities belong to intervals. Recently, there has been a surge of research on employing IMDPs as abstractions of stochastic…

Systems and Control · Electrical Eng. & Systems 2026-02-18 Giannis Delimpaltadakis , Morteza Lahijanian , Manuel Mazo , Luca Laurenti

Models of many real-life applications, such as queuing models of communication networks or computing systems, have a countably infinite state-space. Algorithmic and learning procedures that have been developed to produce optimal policies…

Systems and Control · Electrical Eng. & Systems 2024-03-19 Saghar Adler , Vijay Subramanian

Markov decision processes (MDPs) describe sequential decision-making processes; MDP policies return for every state in that process an advised action. Classical algorithms can efficiently compute policies that are optimal with respect to,…

Logic in Computer Science · Computer Science 2025-05-23 Roman Andriushchenko , Milan Češka , Sebastian Junges , Filip Macák

This paper presents a semi-Markov decision process (SMDP) formulation of the satellite task scheduling problem. This formulation can consider multiple operational objectives simultaneously and plan transitions between distinct functional…

Systems and Control · Electrical Eng. & Systems 2019-10-21 Duncan Eddy , Mykel Kochenderfer

Here, we explore the problem of error propagation mitigation in modular digital twins as a sequential decision process. Building on a companion study that used a Hidden Markov Model (HMM) to infer latent error regimes from surrogate-physics…

Machine Learning · Computer Science 2026-04-27 Annice Najafi , Shokoufeh Mirzaei

We consider the framework of transfer-entropy-regularized Markov Decision Process (TERMDP) in which the weighted sum of the classical state-dependent cost and the transfer entropy from the state random process to the control random process…

Optimization and Control · Mathematics 2020-05-29 Takashi Tanaka , Henrik Sandberg , Mikael Skoglund

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

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…

Artificial Intelligence · Computer Science 2024-06-21 Krishna C. Kalagarla , Dhruva Kartik , Dongming Shen , Rahul Jain , Ashutosh Nayyar , Pierluigi Nuzzo

Markov chains are the de facto finite-state model for stochastic dynamical systems, and Markov decision processes (MDPs) extend Markov chains by incorporating non-deterministic behaviors. Given an MDP and rewards on states, a classical…

Logic in Computer Science · Computer Science 2024-11-13 Krishnendu Chatterjee , Laurent Doyen

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…

Statistics Theory · Mathematics 2021-11-11 Zhengling Qi , Peng Liao

We consider risk-sensitive Markov decision processes (MDPs), where the MDP model is influenced by a parameter which takes values in a compact metric space. We identify sufficient conditions under which small perturbations in the model…

Optimization and Control · Mathematics 2022-09-28 Shiping Shao , Abhishek Gupta , William B. Haskell

Solving Markov Decision Processes (MDPs) remains a central challenge in sequential decision-making, especially when dealing with large state spaces and long-term optimization criteria. A key step in Bellman dynamic programming algorithms is…

Optimization and Control · Mathematics 2025-08-04 Youssef Ait El Mahjoub , Jean-Michel Fourneau , Salma Alouah