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In the context of Markov decision processes running in continuous time, one of the most intriguing challenges is the efficient approximation of finite horizon reachability objectives. A multitude of sophisticated model checking algorithms…

系统与控制 · 计算机科学 2015-08-03 Yuliya Butkova , Hassan Hatefi , Holger Hermanns , Jan Krcal

A tenet of reinforcement learning is that the agent always observes rewards. However, this is not true in many realistic settings, e.g., a human observer may not always be available to provide rewards, sensors may be limited or…

机器学习 · 计算机科学 2026-03-24 Alireza Kazemipour , Simone Parisi , Matthew E. Taylor , Michael Bowling

We consider the problem of minimizing a certainty equivalent of the total or discounted cost over a finite and an infinite time horizon which is generated by a Partially Observable Markov Decision Process (POMDP). The certainty equivalent…

概率论 · 数学 2021-07-21 Nicole Bäuerle , Ulrich Rieder

One of the significant challenges to generating value-aligned behavior is to not only account for the specified user objectives but also any implicit or unspecified user requirements. The existence of such implicit requirements could be…

人工智能 · 计算机科学 2025-01-30 Silvia Tulli , Stylianos Loukas Vasileiou , Mohamed Chetouani , Sarath Sreedharan

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…

最优化与控制 · 数学 2015-07-07 Mahmoud El Chamie , Behcet Acikmese

We study the problem of synthesizing a controller that maximizes the entropy of a partially observable Markov decision process (POMDP) subject to a constraint on the expected total reward. Such a controller minimizes the predictability of…

最优化与控制 · 数学 2021-05-18 Yagiz Savas , Michael Hibbard , Bo Wu , Takashi Tanaka , Ufuk Topcu

Based on information theory, we present a method to determine an optimal Markov approximation for modelling and prediction from time series data. The method finds a balance between minimal modelling errors by taking as much as possible…

混沌动力学 · 物理学 2013-05-29 Detlef Holstein , Holger Kantz

Missions for autonomous systems often require agents to visit multiple targets in complex operating conditions. This work considers the problem of visiting a set of targets in minimum time by a team of non-communicating agents in a Markov…

最优化与控制 · 数学 2023-06-21 Farhad Nawaz , Melkior Ornik

The problem of real-time remote tracking and reconstruction of a two-state Markov process is considered here. A transmitter sends samples from an observed information source to a remote monitor over an unreliable wireless channel. The…

信息论 · 计算机科学 2023-09-22 Mehrdad Salimnejad , Marios Kountouris , Nikolaos Pappas

We consider finite horizon Markov decision processes under performance measures that involve both the mean and the variance of the cumulative reward. We show that either randomized or history-based policies can improve performance. We prove…

机器学习 · 计算机科学 2011-05-02 Shie Mannor , John Tsitsiklis

There has been considerable work on reasoning about the strategic ability of agents under imperfect information. However, existing logics such as Probabilistic Strategy Logic are unable to express properties relating to information…

人工智能 · 计算机科学 2025-01-07 Chunyan Mu , Nima Motamed , Natasha Alechina , Brian Logan

On a variety of complex decision-making tasks, from doctors prescribing treatment to judges setting bail, machine learning algorithms have been shown to outperform expert human judgments. One complication, however, is that it is often…

统计方法学 · 统计学 2018-05-07 Jongbin Jung , Ravi Shroff , Avi Feller , Sharad Goel

An abundance of recent impossibility results establish that regret minimization in Markov games with adversarial opponents is both statistically and computationally intractable. Nevertheless, none of these results preclude the possibility…

机器学习 · 计算机科学 2025-06-17 Liad Erez , Tal Lancewicki , Uri Sherman , Tomer Koren , Yishay Mansour

This paper presents an axiomatic approach to finite Markov decision processes where the discount rate is zero. One of the principal difficulties in the no discounting case is that, even if attention is restricted to stationary policies, a…

最优化与控制 · 数学 2022-11-23 Adam Jonsson

Here we consider the communications tactics appropriate for a group of agents that need to "swarm" together in a highly adversarial environment. Specfically, whilst they need to cooperate by exchanging information with each other about…

多智能体系统 · 计算机科学 2023-04-07 Paul Kinsler , Sean Holman , Andrew Elliott , Cathryn N. Mitchell , R. Eddie Wilson

We study the computation of lower and upper probabilities of hitting a target set of states for imprecise Markov chains, where transition uncertainty is modelled by a convex set of transition matrices. In the precise case, hitting…

概率论 · 数学 2026-03-18 Marco Sangalli , Erik Quaeghebeur , Thomas Krak

We examine online safe multi-agent reinforcement learning using constrained Markov games in which agents compete by maximizing their expected total rewards under a constraint on expected total utilities. Our focus is confined to an episodic…

机器学习 · 计算机科学 2023-06-02 Dongsheng Ding , Xiaohan Wei , Zhuoran Yang , Zhaoran Wang , Mihailo R. Jovanović

In this paper we formulate and study an optimal switching problem under partial information. In our model the agent/manager/investor attempts to maximize the expected reward by switching between different states/investments. However, he is…

最优化与控制 · 数学 2014-03-10 Kai Li , Kaj Nyström , Marcus Olofsson

Temporal point processes have been widely applied to model event sequence data generated by online users. In this paper, we consider the problem of how to design the optimal control policy for point processes, such that the stochastic…

机器学习 · 计算机科学 2017-11-13 Yichen Wang , Grady Williams , Evangelos Theodorou , Le Song

In this paper, we study a mean-variance optimization problem in an infinite horizon discrete time discounted Markov decision process (MDP). The objective is to minimize the variance of system rewards with the constraint of mean performance.…

最优化与控制 · 数学 2017-08-24 Li Xia
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