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The distributionally robust Markov Decision Process (MDP) approach asks for a distributionally robust policy that achieves the maximal expected total reward under the most adversarial distribution of uncertain parameters. In this paper, we…

系统与控制 · 计算机科学 2018-10-10 Zhi Chen , Pengqian Yu , William B. Haskell

We study the automated abstraction-based synthesis of correct-by-construction control policies for stochastic dynamical systems with unknown dynamics. Our approach is to learn an abstraction from sampled data, which is represented in the…

系统与控制 · 电气工程与系统科学 2025-09-03 Mahdi Nazeri , Thom Badings , Anne-Kathrin Schmuck , Sadegh Soudjani , Alessandro Abate

Neural networks (NNs) are emerging as powerful tools to represent the dynamics of control systems with complicated physics or black-box components. Due to complexity of NNs, however, existing methods are unable to synthesize complex…

系统与控制 · 电气工程与系统科学 2022-03-22 Steven Adams , Morteza Lahijanian , Luca Laurenti

We propose a new method for controlled system synthesis on non-deterministic automata, which includes the synthesis for deadlock-freeness, as well as invariant and reachability expressions. Our technique restricts the behavior of a…

形式语言与自动机理论 · 计算机科学 2014-08-15 Allan van Hulst , Michel Reniers , Wan Fokkink

Robust Markov decision processes (MDPs) allow to compute reliable solutions for dynamic decision problems whose evolution is modeled by rewards and partially-known transition probabilities. Unfortunately, accounting for uncertainty in the…

机器学习 · 计算机科学 2020-06-18 Chin Pang Ho , Marek Petrik , Wolfram Wiesemann

Controllers for autonomous systems that operate in safety-critical settings must account for stochastic disturbances. Such disturbances are often modelled as process noise, and common assumptions are that the underlying distributions are…

系统与控制 · 电气工程与系统科学 2022-12-08 Thom S. Badings , Alessandro Abate , Nils Jansen , David Parker , Hasan A. Poonawala , Marielle Stoelinga

In this paper, we consider an integrated MSP-MDP framework which captures features of Markov decision process (MDP) and multistage stochastic programming (MSP). The integrated framework allows one to study a dynamic decision-making process…

最优化与控制 · 数学 2025-09-29 Zhiyao Yang , Zhiping Chen , Huifu Xu

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 (MDPs) aim to handle changing or partially known system dynamics. To solve them, one typically resorts to robust optimization methods. However, this significantly increases computational complexity and…

机器学习 · 计算机科学 2021-10-14 Esther Derman , Matthieu Geist , Shie Mannor

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

Planning problems are hard, motion planning, for example, isPSPACE-hard. Such problems are even more difficult in the presence of uncertainty. Although, Markov Decision Processes (MDPs) provide a formal framework for such problems, finding…

人工智能 · 计算机科学 2013-01-14 Carlos E. Guestrin , Dirk Ormoneit

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

Markov decision processes (MDPs) are a standard model for sequential decision-making problems and are widely used across many scientific areas, including formal methods and artificial intelligence (AI). MDPs do, however, come with the…

人工智能 · 计算机科学 2024-12-11 Marnix Suilen , Thom Badings , Eline M. Bovy , David Parker , Nils Jansen

Automated synthesis of provably correct controllers for cyber-physical systems is crucial for deployment in safety-critical scenarios. However, hybrid features and stochastic or unknown behaviours make this problem challenging. We propose a…

系统与控制 · 电气工程与系统科学 2023-08-07 Luke Rickard , Thom Badings , Licio Romao , Alessandro Abate

In this paper, we present a novel framework to synthesize robust strategies for discrete-time nonlinear systems with random disturbances that are unknown, against temporal logic specifications. The proposed framework is data-driven and…

系统与控制 · 电气工程与系统科学 2025-04-29 Ibon Gracia , Luca Laurenti , Manuel Mazo , Alessandro Abate , Morteza Lahijanian

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

In this work, we address the problem of control synthesis for a homogeneous team of robots given a global temporal logic specification and formal user preferences for relaxation in case of infeasibility. The relaxation preferences are…

机器人学 · 计算机科学 2024-06-05 Disha Kamale , Cristian-Ioan Vasile

In robust Markov decision processes (MDPs), the uncertainty in the transition kernel is addressed by finding a policy that optimizes the worst-case performance over an uncertainty set of MDPs. While much of the literature has focused on…

机器学习 · 计算机科学 2023-03-02 Yue Wang , Alvaro Velasquez , George Atia , Ashley Prater-Bennette , Shaofeng Zou

We introduce a framework for the control of discrete-time switched stochastic systems with uncertain distributions. In particular, we consider stochastic dynamics with additive noise whose distribution lies in an ambiguity set of…

系统与控制 · 电气工程与系统科学 2024-05-21 Ibon Gracia , Dimitris Boskos , Morteza Lahijanian , Luca Laurenti , Manuel Mazo

Optimal policies in Markov decision processes (MDPs) are very sensitive to model misspecification. This raises serious concerns about deploying them in high-stake domains. Robust MDPs (RMDP) provide a promising framework to mitigate…

机器学习 · 计算机科学 2019-12-06 Reazul Hasan Russel , Bahram Behzadian , Marek Petrik