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In this paper, we study safe data collection for the purpose of policy evaluation in tabular Markov decision processes (MDPs). In policy evaluation, we are given a \textit{target} policy and asked to estimate the expected cumulative reward…

机器学习 · 计算机科学 2024-06-05 Subhojyoti Mukherjee , Josiah P. Hanna , Robert Nowak

The ability to compute reward-optimal policies for given and known finite Markov decision processes (MDPs) underpins a variety of applications across planning, controller synthesis, and verification. However, we often want policies (1) to…

计算机科学中的逻辑 · 计算机科学 2025-11-18 Linus Heck , Filip Macák , Milan Češka , Sebastian Junges

A new class of stochastic processes called independent and periodically identically distributed (i.p.i.d.) processes is defined to capture periodically varying statistical behavior. A novel Bayesian theory is developed for detecting a…

信号处理 · 电气工程与系统科学 2019-04-09 Taposh Banerjee , Prudhvi Gurram , Gene Whipps

Autonomous systems are often required to operate in partially observable environments. They must reliably execute a specified objective even with incomplete information about the state of the environment. We propose a methodology to…

人工智能 · 计算机科学 2020-01-14 Maxime Bouton , Jana Tumova , Mykel J. Kochenderfer

Advances in mobile computing technologies have made it possible to monitor and apply data-driven interventions across complex systems in real time. Markov decision processes (MDPs) are the primary model for sequential decision problems with…

统计方法学 · 统计学 2018-03-20 Longshaokan Wang , Eric B. Laber , Katie Witkiewitz

Personalization in machine learning (ML) tailors models' decisions to the individual characteristics of users. While this approach has seen success in areas like recommender systems, its expansion into high-stakes fields such as healthcare…

机器学习 · 计算机科学 2024-01-15 Dmitry Ivanov , Omer Ben-Porat

We study an approach to policy selection for large relational Markov Decision Processes (MDPs). We consider a variant of approximate policy iteration (API) that replaces the usual value-function learning step with a learning step in policy…

人工智能 · 计算机科学 2011-09-13 A. Fern , R. Givan , S. Yoon

In this paper we design hybrid control policies for hybrid systems whose mathematical models are unknown. Our contributions are threefold. First, we propose a framework for modelling the hybrid control design problem as a single Markov…

系统与控制 · 电气工程与系统科学 2020-09-03 Meet Gandhi , Atreyee Kundu , Shalabh Bhatnagar

Value iteration is a well-known method of solving Markov Decision Processes (MDPs) that is simple to implement and boasts strong theoretical convergence guarantees. However, the computational cost of value iteration quickly becomes…

机器学习 · 计算机科学 2021-07-26 Guanting Chen , Johann Demetrio Gaebler , Matt Peng , Chunlin Sun , Yinyu Ye

We consider Incentive Decision Processes, where a principal seeks to reduce its costs due to another agent's behavior, by offering incentives to the agent for alternate behavior. We focus on the case where a principal interacts with a…

计算机科学与博弈论 · 计算机科学 2012-10-19 Sashank J. Reddi , Emma Brunskill

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…

系统与控制 · 电气工程与系统科学 2024-03-19 Saghar Adler , Vijay Subramanian

This paper investigates the optimization problem of an infinite stage discrete time Markov decision process (MDP) with a long-run average metric considering both mean and variance of rewards together. Such performance metric is important…

最优化与控制 · 数学 2020-08-11 Li Xia

Standard Markov decision process (MDP) and reinforcement learning algorithms optimize the policy with respect to the expected gain. We propose an algorithm which enables to optimize an alternative objective: the probability that the gain is…

机器学习 · 计算机科学 2023-03-06 Vincent Corlay , Jean-Christophe Sibel

In this paper, we focus on formal synthesis of control policies for finite Markov decision processes with non-negative real-valued costs. We develop an algorithm to automatically generate a policy that guarantees the satisfaction of a…

计算机科学中的逻辑 · 计算机科学 2013-09-10 Maria Svorenova , Ivana Cerna , Calin Belta

We consider controller synthesis for stochastic and partially unknown environments in which safety is essential. Specifically, we abstract the problem as a Markov decision process in which the expected performance is measured using a cost…

软件工程 · 计算机科学 2015-10-21 Sebastian Junges , Nils Jansen , Christian Dehnert , Ufuk Topcu , Joost-Pieter Katoen

Markov decision processes (MDPs) are a fundamental model for decision making under uncertainty. They exhibit non-deterministic choice as well as probabilistic uncertainty. Traditionally, verification algorithms assume exact knowledge of the…

人工智能 · 计算机科学 2025-04-18 Tobias Meggendorfer , Maximilian Weininger , Patrick Wienhöft

Health-related data is noisy and stochastic in implying the true physiological states of patients, limiting information contained in single-moment observations for sequential clinical decision making. We model patient-clinician interactions…

人工智能 · 计算机科学 2019-05-21 Luchen Li , Matthieu Komorowski , Aldo A. Faisal

To overcome the curse of dimensionality and curse of modeling in Dynamic Programming (DP) methods for solving classical Markov Decision Process (MDP) problems, Reinforcement Learning (RL) algorithms are popular. In this paper, we consider…

机器学习 · 计算机科学 2018-11-29 Arghyadip Roy , Vivek Borkar , Abhay Karandikar , Prasanna Chaporkar

Learning a Markov Decision Process (MDP) from a fixed batch of trajectories is a non-trivial task whose outcome's quality depends on both the amount and the diversity of the sampled regions of the state-action space. Yet, many MDPs are…

机器学习 · 计算机科学 2022-03-08 Giorgio Angelotti , Nicolas Drougard , Caroline P. C. Chanel

Recent decision-making systems are increasingly complicated, making it crucial to verify and understand their behavior for a given specification. A promising approach is to comprehensively explain undesired behavior in the systems modeled…

系统与控制 · 电气工程与系统科学 2025-08-08 Ryohei Oura , Yuji Ito