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In this paper, building on the formulation of quantum Markov decision processes (q-MDPs) presented in our previous work [{\sc N.~Saldi, S.~Sanjari, and S.~Y\"{u}ksel}, {\em Quantum Markov Decision Processes: General Theory, Approximations,…

Quantum Physics · Physics 2025-02-24 Naci Saldi , Sina Sanjari , Serdar Yuksel

A central task in control theory, artificial intelligence, and formal methods is to synthesize reward-maximizing strategies for agents that operate in partially unknown environments. In environments modeled by gray-box Markov decision…

Machine Learning · Computer Science 2023-04-25 Christel Baier , Clemens Dubslaff , Patrick Wienhöft , Stefan J. Kiebel

This paper studies the performance and resilience of a linear cyber-physical control system (CPCS) with attack detection and reactive attack mitigation in the context of power grids. It addresses the problem of deriving an optimal sequence…

Cryptography and Security · Computer Science 2019-04-23 Subhash Lakshminarayana , Jabir Shabbir Karachiwala , Teo Zhan Teng , Rui Tan , David K. Y. Yau

We formulate a multi-armed bandit (MAB) approach to choosing expert policies online in Markov decision processes (MDPs). Given a set of expert policies trained on a state and action space, the goal is to maximize the cumulative reward of…

Systems and Control · Computer Science 2017-07-19 Eric Mazumdar , Roy Dong , Vicenç Rúbies Royo , Claire Tomlin , S. Shankar Sastry

With the increase of connectivity in power grid, a cascading failure may be triggered by the failure of a transmission line, which can lead to substantial economic losses and serious negative social impacts. Therefore, it is very important…

Systems and Control · Electrical Eng. & Systems 2020-12-01 Liang Yu , Zhen Gao , Shuqi Qin , Meng Zhang , Chao Shen , Xiaohong Guan , Dong Yue

In this paper we consider the problem of how a reinforcement learning agent tasked with solving a set of related Markov decision processes can use knowledge acquired early in its lifetime to improve its ability to more rapidly solve novel,…

Artificial Intelligence · Computer Science 2019-02-26 Francisco M. Garcia , Bruno C. da Silva , Philip S. Thomas

We introduce and analyze Markov Decision Process (MDP) machines to model individual devices which are expected to participate in future demand-response markets on distribution grids. We differentiate devices into the following four types:…

Systems and Control · Computer Science 2016-11-17 Konstantin Turitsyn , Scott Backhaus , Maxim Ananyev , Michael Chertkov

Reinforcement learning (RL) is one of the most important branches of AI. Due to its capacity for self-adaption and decision-making in dynamic environments, reinforcement learning has been widely applied in multiple areas, such as…

Machine Learning · Computer Science 2023-01-03 Yunjiao Lei , Dayong Ye , Sheng Shen , Yulei Sui , Tianqing Zhu , Wanlei Zhou

Practical reinforcement learning problems are often formulated as constrained Markov decision process (CMDP) problems, in which the agent has to maximize the expected return while satisfying a set of prescribed safety constraints. In this…

Machine Learning · Computer Science 2019-09-23 Shin-ichi Maeda , Hayato Watahiki , Shintarou Okada , Masanori Koyama

Reinforcement learning studies how an agent should interact with an environment to maximize its cumulative reward. A standard way to study this question abstractly is to ask how many samples an agent needs from the environment to learn an…

Quantum Physics · Physics 2021-12-21 Daochen Wang , Aarthi Sundaram , Robin Kothari , Ashish Kapoor , Martin Roetteler

This paper studies the performance and resilience of a cyber-physical control system (CPCS) with attack detection and reactive attack mitigation. It addresses the problem of deriving an optimal sequence of false data injection attacks that…

Cryptography and Security · Computer Science 2017-06-07 Subhash Lakshminarayana , Teo Zhan Teng , David K. Y. Yau , Rui Tan

We develop several provably efficient model-free reinforcement learning (RL) algorithms for infinite-horizon average-reward Markov Decision Processes (MDPs). We consider both online setting and the setting with access to a simulator. In the…

Machine Learning · Computer Science 2023-06-29 Zihan Zhang , Qiaomin Xie

The complexity of online decision-making under uncertainty stems from the requirement of finding a balance between exploiting known strategies and exploring new possibilities. Naturally, the uncertainty type plays a crucial role in…

Machine Learning · Computer Science 2025-03-07 Alireza Habibi , Saeed Ghoorchian , Setareh Maghsudi

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…

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

Markov decision processes (MDPs) are used to model a wide variety of applications ranging from game playing over robotics to finance. Their optimal policy typically maximizes the expected sum of rewards given at each step of the decision…

Machine Learning · Computer Science 2025-05-26 Maximilian Nägele , Jan Olle , Thomas Fösel , Remmy Zen , Florian Marquardt

Besides the recent impressive results on reinforcement learning (RL), safety is still one of the major research challenges in RL. RL is a machine-learning approach to determine near-optimal policies in Markov decision processes (MDPs). In…

Machine Learning · Computer Science 2022-12-06 Bettina Könighofer , Julian Rudolf , Alexander Palmisano , Martin Tappler , Roderick Bloem

CAGE-2 is an accepted benchmark for learning and evaluating defender strategies against cyberattacks. It reflects a scenario where a defender agent protects an IT infrastructure against various attacks. Many defender methods for CAGE-2 have…

Machine Learning · Computer Science 2026-01-07 Duc Huy Le , Rolf Stadler

We consider discounted infinite-horizon constrained Markov decision processes (CMDPs), where the goal is to find an optimal policy that maximizes the expected cumulative reward while satisfying expected cumulative constraints. Motivated by…

Machine Learning · Computer Science 2025-03-04 Tingting Ni , Maryam Kamgarpour

A key problem in network theory is how to reconfigure a graph in order to optimize a quantifiable objective. Given the ubiquity of networked systems, such work has broad practical applications in a variety of situations, ranging from drug…

Machine Learning · Computer Science 2023-01-31 Christoffel Doorman , Victor-Alexandru Darvariu , Stephen Hailes , Mirco Musolesi

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