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Related papers: C-MCTS: Safe Planning with Monte Carlo Tree Search

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We consider multiple parallel Markov decision processes (MDPs) coupled by global constraints, where the time varying objective and constraint functions can only be observed after the decision is made. Special attention is given to how well…

Optimization and Control · Mathematics 2017-09-12 Xiaohan Wei , Hao Yu , Michael J. Neely

The project managers who deal with risk management are often faced with the difficult task of determining the relative importance of the various sources of risk that affect the project. This prioritisation is crucial to direct management…

Risk Management · Quantitative Finance 2024-06-03 Fernando Acebes , José Manuel González-Varona , Adolfo López-Paredes , Javier Pajares

Industries frequently adjust their facilities network by opening new branches in promising areas and closing branches in areas where they expect low profits. In this paper, we examine a particular class of facility location problems. Our…

Artificial Intelligence · Computer Science 2024-03-18 Saeid Amiri , Parisa Zehtabi , Danial Dervovic , Michael Cashmore

In this paper, we focus on the problem of robustifying reinforcement learning (RL) algorithms with respect to model uncertainties. Indeed, in the framework of model-based RL, we propose to merge the theory of constrained Markov decision…

Machine Learning · Computer Science 2020-10-13 Reazul Hasan Russel , Mouhacine Benosman , Jeroen Van Baar

We consider the problem of designing policies for Markov decision processes (MDPs) with dynamic coherent risk objectives and constraints. We begin by formulating the problem in a Lagrangian framework. Under the assumption that the risk…

Artificial Intelligence · Computer Science 2021-03-30 Mohamadreza Ahmadi , Ugo Rosolia , Michel D. Ingham , Richard M. Murray , Aaron D. Ames

Cumulative prospect theory (CPT) is the first theory for decision-making under uncertainty that combines full theoretical soundness and empirically realistic features [P.P. Wakker - Prospect theory: For risk and ambiguity, Page 2]. While…

Logic in Computer Science · Computer Science 2025-05-15 Thomas Brihaye , Krishnendu Chatterjee , Stefanie Mohr , Maximilian Weininger

Urban traffic scenarios often require a high degree of cooperation between traffic participants to ensure safety and efficiency. Observing the behavior of others, humans infer whether or not others are cooperating. This work aims to extend…

Artificial Intelligence · Computer Science 2020-02-04 Karl Kurzer , Florian Engelhorn , J. Marius Zöllner

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…

Artificial Intelligence · Computer Science 2025-01-24 Taiyi Wang , Jianheng Liu , Bryan Lee , Zhihao Wu , Yu Wu

Constrained Markov Decision Processes (CMDPs) formalize sequential decision-making problems whose objective is to minimize a cost function while satisfying constraints on various cost functions. In this paper, we consider the setting of…

Machine Learning · Computer Science 2020-09-25 Krishna C. Kalagarla , Rahul Jain , Pierluigi Nuzzo

Automated cyber defense (ACD) seeks to protect computer networks with minimal or no human intervention, reacting to intrusions by taking corrective actions such as isolating hosts, resetting services, deploying decoys, or updating access…

Machine Learning · Computer Science 2026-01-12 Yu Li , Sizhe Tang , Rongqian Chen , Fei Xu Yu , Guangyu Jiang , Mahdi Imani , Nathaniel D. Bastian , Tian Lan

Reliable robot autonomy hinges on decision-making systems that account for uncertainty without imposing overly conservative restrictions on the robot's action space. We introduce Chance-Constrained Via-Point-Based Stochastic Trajectory…

We study policy optimization in an infinite horizon, $\gamma$-discounted constrained Markov decision process (CMDP). Our objective is to return a policy that achieves large expected reward with a small constraint violation. We consider the…

Machine Learning · Computer Science 2022-04-12 Arushi Jain , Sharan Vaswani , Reza Babanezhad , Csaba Szepesvari , Doina Precup

This paper considers the problem of finding near-optimal Markovian randomized (MR) policies for finite-state-action, infinite-horizon, constrained risk-sensitive Markov decision processes (CRSMDPs). Constraints are in the form of standard…

Optimization and Control · Mathematics 2023-03-14 Uday Kumar M , Sanjay P Bhat , Veeraruna Kavitha , Nandyala Hemachandra

Robust reinforcement learning is essential for deploying reinforcement learning algorithms in real-world scenarios where environmental uncertainty predominates. Traditional robust reinforcement learning often depends on rectangularity…

Machine Learning · Computer Science 2024-06-13 Adil Zouitine , David Bertoin , Pierre Clavier , Matthieu Geist , Emmanuel Rachelson

The performance of Variational Quantum Algorithms (VQAs) strongly depends on the choice of the parameterized quantum circuit to optimize. One of the biggest challenges in VQAs is designing quantum circuits tailored to the particular…

Quantum Physics · Physics 2026-05-06 Vincenzo Lipardi , Domenica Dibenedetto , Georgios Stamoulis , Mark H. M. Winands

We present MBAPPE, a novel approach to motion planning for autonomous driving combining tree search with a partially-learned model of the environment. Leveraging the inherent explainable exploration and optimization capabilities of the…

Robotics · Computer Science 2023-09-18 Raphael Chekroun , Thomas Gilles , Marin Toromanoff , Sascha Hornauer , Fabien Moutarde

Symbolic regression aims to discover concise, interpretable mathematical expressions that satisfy desired objectives, such as fitting data, posing a highly combinatorial optimization problem. While genetic programming has been the dominant…

Machine Learning · Computer Science 2025-09-25 Zhengyao Huang , Daniel Zhengyu Huang , Tiannan Xiao , Dina Ma , Zhenyu Ming , Hao Shi , Yuanhui Wen

In this paper we propose a constrained guaranteed cost robust model predictive controller (GCMPC) for uncertain discrete time systems. This controller was developed based on a quadratic cost functional and guarantee robustness with respect…

Optimization and Control · Mathematics 2018-09-21 Carlos M. Massera , Marco H. Terra , Denis F. Wolf

Dynamic resource allocation (DRA) problems are an important class of dynamic stochastic optimization problems that arise in a variety of important real-world applications. DRA problems are notoriously difficult to solve to optimality since…

Optimization and Control · Mathematics 2014-05-22 Dimitris Bertsimas , J. Daniel Griffith , Vishal Gupta , Mykel J. Kochenderfer , Velibor V. Mišić , Robert Moss

In this study, we explore the efficiency of the Monte Carlo Tree Search (MCTS), a prominent decision-making algorithm renowned for its effectiveness in complex decision environments, contingent upon the volume of simulations conducted.…

Artificial Intelligence · Computer Science 2024-03-19 Ye Zhang , Mengran Zhu , Kailin Gui , Jiayue Yu , Yong Hao , Haozhan Sun
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