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In this paper, the aim is to develop a quantum counterpart to classical Markov decision processes (MDPs). Firstly, we provide a very general formulation of quantum MDPs with state and action spaces in the quantum domain, quantum…

量子物理 · 物理学 2024-09-19 Naci Saldi , Sina Sanjari , Serdar Yuksel

This paper investigates a series of optimization problems for one-counter Markov decision processes (MDPs) and integer-weighted MDPs with finite state space. Specifically, it considers problems addressing termination probabilities and…

计算机科学中的逻辑 · 计算机科学 2024-08-07 Jakob Piribauer , Christel Baier

Markov Decision Processes (MDPs), the mathematical framework underlying most algorithms in Reinforcement Learning (RL), are often used in a way that wrongfully assumes that the state of an agent's environment does not change during action…

机器学习 · 计算机科学 2019-12-13 Simon Ramstedt , Christopher Pal

We consider a reinforcement learning (RL) setting in which the agent interacts with a sequence of episodic MDPs. At the start of each episode the agent has access to some side-information or context that determines the dynamics of the MDP…

机器学习 · 统计学 2019-10-24 Aditya Modi , Nan Jiang , Satinder Singh , Ambuj Tewari

The linear Markov Decision Process (MDP) framework offers a principled foundation for reinforcement learning (RL) with strong theoretical guarantees and sample efficiency. However, its restrictive assumption-that both transition dynamics…

机器学习 · 统计学 2025-06-03 Sinian Zhang , Kaicheng Zhang , Ziping Xu , Tianxi Cai , Doudou Zhou

End-users' trust in automated agents is important as automated decision-making and planning is increasingly used in many aspects of people's lives. In real-world applications of planning, multiple optimization objectives are often involved.…

人机交互 · 计算机科学 2020-08-04 Roykrong Sukkerd , Reid Simmons , David Garlan

In this paper, we study the non-asymptotic and asymptotic performances of the optimal robust policy and value function of robust Markov Decision Processes(MDPs), where the optimal robust policy and value function are solved only from a…

机器学习 · 统计学 2022-08-16 Wenhao Yang , Liangyu Zhang , Zhihua Zhang

Markov decision processes (MDPs) are a fundamental model in sequential decision making. Robust MDPs (RMDPs) extend this framework by allowing uncertainty in transition probabilities and optimizing against the worst-case realization of that…

Many real-world decision-making problems face the off-dynamics challenge: the agent learns a policy in a source domain and deploys it in a target domain with different state transitions. The distributionally robust Markov decision process…

机器学习 · 计算机科学 2025-05-26 Zhishuai Liu , Pan Xu

We consider the reinforcement learning problem for the constrained Markov decision process (CMDP), which plays a central role in satisfying safety or resource constraints in sequential learning and decision-making. In this problem, we are…

机器学习 · 计算机科学 2025-11-19 Jiashuo Jiang , Yinyu Ye

In this paper we consider the basic version of Reinforcement Learning (RL) that involves computing optimal data driven (adaptive) policies for Markovian decision process with unknown transition probabilities. We provide a brief survey of…

机器学习 · 计算机科学 2019-09-16 Wesley Cowan , Michael N. Katehakis , Daniel Pirutinsky

We introduce a novel methodology for testing stochastic black-box systems, frequently encountered in embedded systems. Our approach enhances the established black-box checking (BBC) technique to address stochastic behavior. Traditional BBC…

软件工程 · 计算机科学 2023-08-17 Junya Shijubo , Masaki Waga , Kohei Suenaga

A Robust Markov Decision Process (RMDP) is a sequential decision making model that accounts for uncertainty in the parameters of dynamic systems. This uncertainty introduces difficulties in learning an optimal policy, especially for…

人工智能 · 计算机科学 2017-03-08 Shirli Di-Castro Shashua , Shie Mannor

Algorithms developed under stationary Markov Decision Processes (MDPs) often face challenges in non-stationary environments, and infinite-horizon formulations may not directly apply to finite-horizon tasks. To address these limitations, we…

机器学习 · 计算机科学 2025-12-03 Zhizuo Chen , Theodore T. Allen

In this paper, we use concepts from supervisory control theory of discrete event systems to propose a method to learn optimal control policies for a finite-state Markov Decision Process (MDP) in which (only) certain sequences of actions are…

机器学习 · 计算机科学 2022-01-04 Arun Raman , Keerthan Shagrithaya , Shalabh Bhatnagar

As machine learning black boxes are increasingly being deployed in real-world applications, there has been a growing interest in developing post hoc explanations that summarize the behaviors of these black boxes. However, existing…

机器学习 · 计算机科学 2020-11-13 Himabindu Lakkaraju , Nino Arsov , Osbert Bastani

We consider a class of optimization problems over stochastic variables where the algorithm can learn information about the value of any variable through a series of costly steps; we model this information acquisition process as a Markov…

数据结构与算法 · 计算机科学 2025-07-25 Shuchi Chawla , Dimitris Christou , Amit Harlev , Ziv Scully

The online Markov decision process (MDP) is a generalization of the classical Markov decision process that incorporates changing reward functions. In this paper, we propose practical online MDP algorithms with policy iteration and…

机器学习 · 计算机科学 2015-10-16 Yao Ma , Hao Zhang , Masashi Sugiyama

Online reinforcement learning (RL) has been widely applied in information processing scenarios, which usually exhibit much uncertainty due to the intrinsic randomness of channels and service demands. In this paper, we consider an…

机器学习 · 计算机科学 2021-06-17 Rongpeng Li

Today, machine learning (ML) models are increasingly applied in decision making. This induces an urgent need for quality assurance of ML models with respect to (often domain-dependent) requirements. Monotonicity is one such requirement. It…

机器学习 · 计算机科学 2020-02-28 Arnab Sharma , Heike Wehrheim