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Interval Markov decision processes (IMDPs) generalise classical MDPs by having interval-valued transition probabilities. They provide a powerful modelling tool for probabilistic systems with an additional variation or uncertainty that…

系统与控制 · 计算机科学 2017-07-07 Ernst Moritz Hahn , Vahid Hashemi , Holger Hermanns , Morteza Lahijanian , Andrea Turrini

Software-intensive systems, such as software product lines and robotics, utilise Markov decision processes (MDPs) to capture uncertainty and analyse sequential decision-making problems. Despite the usefulness of conventional policy…

人工智能 · 计算机科学 2026-05-01 Alexandros Evangelidis , Gricel Vázquez , Simos Gerasimou

We consider a robust filtering problem where the nominal state space model is not reachable and different from the actual one. We propose a robust Kalman filter which solves a dynamic game: one player selects the least-favorable model in a…

最优化与控制 · 数学 2020-09-08 Shenglun Yi , Mattia Zorzi

In stochastic dynamic environments, team Markov games have emerged as a versatile paradigm for studying sequential decision-making problems of fully cooperative multi-agent systems. However, the optimality of the derived policies is usually…

最优化与控制 · 数学 2022-05-03 Feng Huang , Ming Cao , Long Wang

The long-timescale behavior of complex dynamical systems can be described by linear Markov or Koopman models in a suitable latent space. Recent variational approaches allow the latent space representation and the linear dynamical model to…

计算物理 · 物理学 2019-12-17 Andreas Mardt , Luca Pasquali , Frank Noé , Hao Wu

Adversarially robust training has been shown to reduce the susceptibility of learned models to targeted input data perturbations. However, it has also been observed that such adversarially robust models suffer a degradation in accuracy when…

系统与控制 · 电气工程与系统科学 2023-02-07 Thomas T. C. K. Zhang , Bruce D. Lee , Hamed Hassani , Nikolai Matni

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

This paper studies Markov Decision Processes under parameter uncertainty. We adapt the distributionally robust optimization framework, and assume that the uncertain parameters are random variables following an unknown distribution, and…

系统与控制 · 计算机科学 2015-05-14 Pengqian Yu , Huan Xu

We study reinforcement learning under model misspecification, where we do not have access to the true environment but only to a reasonably close approximation to it. We address this problem by extending the framework of robust MDPs to the…

机器学习 · 计算机科学 2017-11-10 Aurko Roy , Huan Xu , Sebastian Pokutta

The ability to direct a Probabilistic Boolean Network (PBN) to a desired state is important to applications such as targeted therapeutics in cancer biology. Reinforcement Learning (RL) has been proposed as a framework that solves a…

机器学习 · 计算机科学 2022-10-26 Sotiris Moschoyiannis , Evangelos Chatzaroulas , Vytenis Sliogeris , Yuhu Wu

We present a data-driven approach for producing policies that are provably robust across unknown stochastic environments. Existing approaches can learn models of a single environment as an interval Markov decision processes (IMDP) and…

机器学习 · 计算机科学 2025-03-25 Yannik Schnitzer , Alessandro Abate , David Parker

We propose a principled kernel-based policy iteration algorithm to solve the continuous-state Markov Decision Processes (MDPs). In contrast to most decision-theoretic planning frameworks, which assume fully known state transition models, we…

机器人学 · 计算机科学 2020-06-04 Junhong Xu , Kai Yin , Lantao Liu

There are two primary approaches to solving Markov decision problems (MDPs): dynamic programming based on the Bellman equation and linear programming (LP). Dynamic programming methods are the most widely used and form the foundation of both…

人工智能 · 计算机科学 2026-02-24 Donghwan Lee , Hyukjun Yang , Bum Geun Park

Advances in mobile computing technologies have made it possible to monitor and apply data-driven interventions across complex systems in real time. Markov decision processes (MDPs) are the primary model for sequential decision problems with…

统计方法学 · 统计学 2018-03-20 Longshaokan Wang , Eric B. Laber , Katie Witkiewitz

In order to integrate uncertainty estimates into deep time-series modelling, Kalman Filters (KFs) (Kalman et al., 1960) have been integrated with deep learning models, however, such approaches typically rely on approximate inference…

机器学习 · 计算机科学 2019-05-20 Philipp Becker , Harit Pandya , Gregor Gebhardt , Cheng Zhao , James Taylor , Gerhard Neumann

The sim-to-real gap, which represents the disparity between training and testing environments, poses a significant challenge in reinforcement learning (RL). A promising approach to addressing this challenge is distributionally robust RL,…

机器学习 · 计算机科学 2024-11-05 Miao Lu , Han Zhong , Tong Zhang , Jose Blanchet

In this paper, we present a Distributionally Robust Markov Decision Process (DRMDP) approach for addressing the dynamic epidemic control problem. The Susceptible-Exposed-Infectious-Recovered (SEIR) model is widely used to represent the…

最优化与控制 · 数学 2023-06-27 Jun Song , William Yang , Chaoyue Zhao

We consider the filtering of continuous-time finite-state hidden Markov models, where the rate and observation matrices depend on unknown time-dependent parameters, for which no prior or stochastic model is available. We quantify and…

概率论 · 数学 2021-03-17 Andrew L. Allan

Optimal decision-making under partial observability requires reasoning about the uncertainty of the environment's hidden state. However, most reinforcement learning architectures handle partial observability with sequence models that have…

机器学习 · 计算机科学 2025-02-20 Carlos E. Luis , Alessandro G. Bottero , Julia Vinogradska , Felix Berkenkamp , Jan Peters

In recent years, robust Markov decision processes (MDPs) have emerged as a prominent modeling framework for dynamic decision problems affected by uncertainty. In contrast to classical MDPs, which only account for stochasticity by modeling…

最优化与控制 · 数学 2023-12-14 Chin Pang Ho , Marek Petrik , Wolfram Wiesemann