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Robust Markov Decision Processes (RMDPs) have recently been recognized as a valuable and promising approach to discovering a policy with creditable performance, particularly in the presence of a dynamic environment and estimation errors in…

最优化与控制 · 数学 2024-06-04 Zhenwei Lin , Chenyu Xue , Qi Deng , Yinyu Ye

This paper proposes a new formulation for the dynamic resource allocation problem, which converts the traditional MDP model with known parameters and no capacity constraints to a new model with uncertain parameters and a resource capacity…

最优化与控制 · 数学 2020-11-10 Onur Demiray , Evrim Didem Güneş , Lerzan Örmeci

We consider a robust approach to address uncertainty in model parameters in Markov Decision Processes (MDPs), which are widely used to model dynamic optimization in many applications. Most prior works consider the case where the uncertainty…

最优化与控制 · 数学 2021-09-02 Vineet Goyal , Julien Grand-Clément

We present a data-driven optimal control approach which integrates the reported partial data with the epidemic dynamics for COVID-19. We use a basic Susceptible-Exposed-Infectious-Recovered (SEIR) model, the model parameters are…

最优化与控制 · 数学 2020-12-22 Hailiang Liu , Xuping Tian

This paper proposes a decision-making approach for the control of distribution systems with distributed energy resources (DERs) equipped with photovoltaic (PV) units and battery energy storage systems (BESS). The objective is to minimize…

系统与控制 · 电气工程与系统科学 2024-12-13 Robert Sosnowski , Marcin Baszynski , Charalambos Konstantinou

We approach the development of models and control strategies of susceptible-infected-susceptible (SIS) epidemic processes from the perspective of marked temporal point processes and stochastic optimal control of stochastic differential…

最优化与控制 · 数学 2018-12-04 Lars Lorch , Abir De , Samir Bhatt , William Trouleau , Utkarsh Upadhyay , Manuel Gomez-Rodriguez

Fueled by advances in both robust optimization theory and reinforcement learning (RL), robust Markov Decision Processes (RMDPs) have garnered increasing attention due to their powerful capability for sequential decision-making under…

最优化与控制 · 数学 2025-07-08 Wenfan Ou , Sheng Bi

In offline reinforcement learning (RL), the absence of active exploration calls for attention on the model robustness to tackle the sim-to-real gap, where the discrepancy between the simulated and deployed environments can significantly…

机器学习 · 计算机科学 2024-06-28 He Wang , Laixi Shi , Yuejie Chi

Markov Decision Processes (MDPs) are a popular class of models suitable for solving control decision problems in probabilistic reactive systems. We consider parametric MDPs (pMDPs) that include parameters in some of the transition…

计算机科学中的逻辑 · 计算机科学 2018-06-14 Sebastian Arming , Ezio Bartocci , Krishnendu Chatterjee , Joost-Pieter Katoen , Ana Sokolova

A Markov decision process (MDP) framework is adopted to represent ensemble control of devices with cyclic energy consumption patterns, e.g., thermostatically controlled loads. Specifically we utilize and develop the class of MDP models…

系统与控制 · 计算机科学 2017-10-24 Michael Chertkov , Vladimir Y. Chernyak , Deepjyoti Deka

Ranking the spreading influence of nodes is of great importance in practice and research. The key to ranking a node's spreading ability is to evaluate the fraction of susceptible nodes been infected by the target node during the outbreak,…

物理与社会 · 物理学 2023-02-22 Jian-Hong Lin , Zhao Yang , Jian-Guo Liu , Bo-Lun Chen , Claudio J. Tessone

We consider the framework of transfer-entropy-regularized Markov Decision Process (TERMDP) in which the weighted sum of the classical state-dependent cost and the transfer entropy from the state random process to the control random process…

最优化与控制 · 数学 2020-05-29 Takashi Tanaka , Henrik Sandberg , Mikael Skoglund

In this paper, we consider risk-sensitive Markov Decision Processes (MDPs) with Borel state and action spaces and unbounded cost under both finite and infinite planning horizons. Our optimality criterion is based on the recursive…

最优化与控制 · 数学 2025-10-16 Nicole Bäuerle , Alexander Glauner

In this paper, we focus on the problem of robustifying reinforcement learning (RL) algorithms with respect to model uncertainties. Indeed, in the framework of model-based RL, we propose to merge the theory of constrained Markov decision…

机器学习 · 计算机科学 2020-10-13 Reazul Hasan Russel , Mouhacine Benosman , Jeroen Van Baar

Robust Markov decision processes (RMDPs) extend standard Markov decision processes (MDPs) to account for uncertainty in the transition probabilities. RMDPs have an uncertainty set that defines a set of possible transition functions, each of…

计算机科学中的逻辑 · 计算机科学 2026-04-30 Marnix Suilen , Guillermo A. Pérez

We investigate interactive trajectory planning subject to uncertainty in the decisions of surrounding agents. To control the ego-agent, we aim to first learn the decision distribution and solve a Stochastic Model Predictive Control (SMPC)…

系统与控制 · 电气工程与系统科学 2026-05-11 Erik Börve , Nikolce Murgovski , Morteza Haghir Chehreghani , Leo Laine

The main goal of this paper is to investigate continuous-time distributed dynamic programming (DP) algorithms for networked multi-agent Markov decision problems (MAMDPs). In our study, we adopt a distributed multi-agent framework where…

系统与控制 · 电气工程与系统科学 2024-06-14 Donghwan Lee , Han-Dong Lim , Do Wan Kim

Markov decision processes (MDPs) are formal models commonly used in sequential decision-making. MDPs capture the stochasticity that may arise, for instance, from imprecise actuators via probabilities in the transition function. However, in…

人工智能 · 计算机科学 2023-06-21 Marnix Suilen , Thiago D. Simão , David Parker , Nils Jansen

We consider the problem of solving robust Markov decision process (MDP), which involves a set of discounted, finite state, finite action space MDPs with uncertain transition kernels. The goal of planning is to find a robust policy that…

机器学习 · 计算机科学 2023-06-13 Yan Li , Guanghui Lan , Tuo Zhao

We consider a continuous-time continuous-space stochastic optimal control problem, where the controller lacks exact knowledge of the underlying diffusion process, relying instead on a finite set of historical disturbance trajectories. In…

系统与控制 · 电气工程与系统科学 2023-10-04 Hyuk Park , Duo Zhou , Grani A. Hanasusanto , Takashi Tanaka