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In adaptive systems, predictors are used to anticipate changes in the systems state or behavior that may require system adaption, e.g., changing its configuration or adjusting resource allocation. Therefore, the quality of predictors is…

Logic in Computer Science · Computer Science 2024-12-17 Christel Baier , Sascha Klüppelholz , Jakob Piribauer , Robin Ziemek

Recent research in decision theoretic planning has focussed on making the solution of Markov decision processes (MDPs) more feasible. We develop a family of algorithms for structured reachability analysis of MDPs that are suitable when an…

Artificial Intelligence · Computer Science 2013-04-24 Craig Boutilier , Ronen I. Brafman , Christopher W. Geib

Software-intensive systems, such as software product lines and robotics, utilise Markov decision processes (MDPs) to capture uncertainty and analyse sequential decision-making problems. Despite the usefulness of conventional policy…

Artificial Intelligence · Computer Science 2026-05-01 Alexandros Evangelidis , Gricel Vázquez , Simos Gerasimou

Model checking undiscounted reachability and expected-reward properties on Markov decision processes (MDPs) is key for the verification of systems that act under uncertainty. Popular algorithms are policy iteration and variants of value…

Logic in Computer Science · Computer Science 2023-01-25 Arnd Hartmanns , Sebastian Junges , Tim Quatmann , Maximilian Weininger

This paper studies optimal market making for large-tick assets in the presence of latency. We consider a random walk model for the asset price, and formulate the market maker's optimization problem using Markov Decision Processes (MDP). We…

Trading and Market Microstructure · Quantitative Finance 2020-03-18 Xuefeng Gao , Yunhan Wang

Large-scale Markov decision processes (MDPs) require planning algorithms with runtime independent of the number of states of the MDP. We consider the planning problem in MDPs using linear value function approximation with only weak…

Machine Learning · Computer Science 2020-07-14 Roshan Shariff , Csaba Szepesvári

When human operators of cyber-physical systems encounter surprising behavior, they often consider multiple hypotheses that might explain it. In some cases, taking information-gathering actions such as additional measurements or control…

Artificial Intelligence · Computer Science 2024-11-22 Ofer Dagan , Tyler Becker , Zachary N. Sunberg

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

Approximate dynamic programming is a popular method for solving large Markov decision processes. This paper describes a new class of approximate dynamic programming (ADP) methods- distributionally robust ADP-that address the curse of…

Machine Learning · Statistics 2012-05-22 Marek Petrik

Despite high reliability, modern power systems with growing renewable penetration face an increasing risk of cascading outages. Real-time cascade mitigation requires fast, complex operational decisions under uncertainty. In this work, we…

Physics and Society · Physics 2025-06-11 Kai Zhou , Youbiao He , Chong Zhong , Yifu Wu

An optimal feedback controller for a given Markov decision process (MDP) can in principle be synthesized by value or policy iteration. However, if the system dynamics and the reward function are unknown, a learning agent must discover an…

Machine Learning · Computer Science 2019-07-19 Boris Belousov , Jan Peters

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

Fairness has emerged as an important concern in automated decision-making in recent years, especially when these decisions affect human welfare. In this work, we study fairness in temporally extended decision-making settings, specifically…

Artificial Intelligence · Computer Science 2022-02-10 Ganesh Ghalme , Vineet Nair , Vishakha Patil , Yilun Zhou

We study infinite-horizon Markov decision processes (MDPs) where the decision maker evaluates each of her strategies by aggregating the infinite stream of expected stage-rewards. The crucial feature of our approach is that the aggregation…

Optimization and Control · Mathematics 2026-03-05 János Flesch , Arkadi Predtetchinski , William D Sudderth , Xavier Venel

We consider the problem of controlling a fully specified Markov decision process (MDP), also known as the planning problem, when the state space is very large and calculating the optimal policy is intractable. Instead, we pursue the more…

Optimization and Control · Mathematics 2019-01-09 Yasin Abbasi-Yadkori , Peter L. Bartlett , Xi Chen , Alan Malek

In supervised learning, we fit a single statistical model to a given data set, assuming that the data is associated with a singular task, which yields well-tuned models for specific use, but does not adapt well to new contexts. By contrast,…

Machine Learning · Computer Science 2020-09-11 Bingjia Wang , Alec Koppel , Vikram Krishnamurthy

This paper is devoted to solving a time-inconsistent risk-sensitive control problem with parameter $\e$ and its limit case ($\e\rightarrow0^+$) for countable-stated Markov decision processes (MDPs for short). Since the cost functional is…

Optimization and Control · Mathematics 2020-10-22 Hongwei Mei

Discrete time stochastic optimal control problems and Markov decision processes (MDPs) are fundamental models for sequential decision-making under uncertainty and as such provide the mathematical framework underlying reinforcement learning…

Optimization and Control · Mathematics 2025-07-01 Arnulf Jentzen , Konrad Kleinberg , Thomas Kruse

Reinforcement learning (RL) has exceeded human performance in many synthetic settings such as video games and Go. However, real-world deployment of end-to-end RL models is less common, as RL models can be very sensitive to slight…

Machine Learning · Computer Science 2022-09-29 Jing Dong , Jingwei Li , Baoxiang Wang , Jingzhao Zhang

In dynamic programming (DP) and reinforcement learning (RL), an agent learns to act optimally in terms of expected long-term return by sequentially interacting with its environment modeled by a Markov decision process (MDP). More generally…

Machine Learning · Computer Science 2022-01-03 Mastane Achab , Gergely Neu
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