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Partially Observable Markov Decision Processes (POMDPs) provide an efficient way to model real-world sequential decision making processes. Motivated by the problem of maintenance and inspection of a group of infrastructure components with…

最优化与控制 · 数学 2024-08-15 Manav Vora , Pranay Thangeda , Michael N. Grussing , Melkior Ornik

We consider multiple-environment Markov decision processes (MEMDP), which consist of a finite set of MDPs over the same state space, representing different scenarios of transition structure and probability. The value of a strategy is the…

计算机科学中的逻辑 · 计算机科学 2025-04-23 Krishnendu Chatterjee , Laurent Doyen , Jean-François Raskin , Ocan Sankur

In this paper, we consider a class of continuous-time, continuous-space stochastic optimal control problems. Building upon recent advances in Markov chain approximation methods and sampling-based algorithms for deterministic path planning,…

机器人学 · 计算机科学 2012-02-27 Vu Anh Huynh , Sertac Karaman , Emilio Frazzoli

In this paper we provide faster algorithms for approximately solving discounted Markov Decision Processes in multiple parameter regimes. Given a discounted Markov Decision Process (DMDP) with $|S|$ states, $|A|$ actions, discount factor…

数据结构与算法 · 计算机科学 2020-12-24 Aaron Sidford , Mengdi Wang , Xian Wu , Yinyu Ye

In this paper, we show how a simulated Markov decision process (MDP) built by the so-called \emph{baseline} policies, can be used to compute a different policy, namely the \emph{simulated optimal} policy, for which the performance of this…

最优化与控制 · 数学 2014-10-13 Yinlam Chow , Mohammad Ghavamzadeh

We consider a settings of hierarchical reinforcement learning, in which the reward is a sum of components. For each component we are given a policy that maximizes it and our goal is to assemble a policy from the individual policies that…

机器学习 · 计算机科学 2020-01-06 Tom Zahavy , Avinatan Hasidim , Haim Kaplan , Yishay Mansour

Markov decision processes (MDPs) provide a standard framework for sequential decision making under uncertainty. However, MDPs do not take uncertainty in transition probabilities into account. Robust Markov decision processes (RMDPs) address…

The paper addresses two variants of the stochastic shortest path problem ('optimize the accumulated weight until reaching a goal state') in Markov decision processes (MDPs) with integer weights. The first variant optimizes partial expected…

计算机科学中的逻辑 · 计算机科学 2019-05-01 Jakob Piribauer , Christel Baier

Partially observable Markov Decision Processes (POMDPs) are a standard model for agents making decisions in uncertain environments. Most work on POMDPs focuses on synthesizing strategies based on the available capabilities. However, system…

人工智能 · 计算机科学 2024-07-12 Alyzia-Maria Konsta , Alberto Lluch Lafuente , Christoph Matheja

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

This paper studies the expected value of multiplicative rewards, where rewards obtained in each step are multiplied (instead of the usual addition), in Markov chains (MCs) and Markov decision processes (MDPs). One of the key differences to…

计算机科学中的逻辑 · 计算机科学 2025-06-24 Christel Baier , Krishnendu Chatterjee , Tobias Meggendorfer , Jakob Piribauer

Sequential incentive marketing is an important approach for online businesses to acquire customers, increase loyalty and boost sales. How to effectively allocate the incentives so as to maximize the return (e.g., business objectives) under…

人工智能 · 计算机科学 2023-03-03 Shuai Xiao , Le Guo , Zaifan Jiang , Lei Lv , Yuanbo Chen , Jun Zhu , Shuang Yang

There is much interest in using partially observable Markov decision processes (POMDPs) as a formal model for planning in stochastic domains. This paper is concerned with finding optimal policies for POMDPs. We propose several improvements…

人工智能 · 计算机科学 2013-02-01 Nevin Lianwen Zhang , Stephen S. Lee

We consider a constrained Markov Decision Problem (CMDP) where the goal of an agent is to maximize the expected discounted sum of rewards over an infinite horizon while ensuring that the expected discounted sum of costs exceeds a certain…

机器学习 · 计算机科学 2024-11-01 Washim Uddin Mondal , Vaneet Aggarwal

We select policies for large Markov Decision Processes (MDPs) with compact first-order representations. We find policies that generalize well as the number of objects in the domain grows, potentially without bound. Existing…

人工智能 · 计算机科学 2013-01-07 Sung Wook Yoon , Alan Fern , Robert Givan

We study turn-based stochastic zero-sum games with lexicographic preferences over reachability and safety objectives. Stochastic games are standard models in control, verification, and synthesis of stochastic reactive systems that exhibit…

计算机科学与博弈论 · 计算机科学 2022-07-21 Krishnendu Chatterjee , Joost-Pieter Katoen , Maximilian Weininger , Tobias Winkler

Markov Decision Processes (MDPs) are the most common model for decision making under uncertainty in the Machine Learning community. An MDP captures non-determinism, probabilistic uncertainty, and an explicit model of action. A Reinforcement…

人工智能 · 计算机科学 2025-06-10 Alena Makarova , Houssam Abbas

Reinforcement Learning algorithms are primarily focused on learning a policy that maximizes expected return. As a result, the learned policy can exploit one or few reward sources. However, in many natural situations, it is desirable to…

机器学习 · 计算机科学 2026-03-31 Sagalpreet Singh , Rishi Saket , Aravindan Raghuveer

We consider (stochastic) softmax policy gradient (PG) methods for bandits and tabular Markov decision processes (MDPs). While the PG objective is non-concave, recent research has used the objective's smoothness and gradient domination…

机器学习 · 计算机科学 2024-10-01 Michael Lu , Matin Aghaei , Anant Raj , Sharan Vaswani

Principal-agent problems arise when one party acts on behalf of another, leading to conflicts of interest. The economic literature has extensively studied principal-agent problems, and recent work has extended this to more complex scenarios…

人工智能 · 计算机科学 2024-01-02 Omer Ben-Porat , Yishay Mansour , Michal Moshkovitz , Boaz Taitler