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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…

Machine Learning · Computer Science 2022-01-04 Arun Raman , Keerthan Shagrithaya , Shalabh Bhatnagar

Active classification, i.e., the sequential decision-making process aimed at data acquisition for classification purposes, arises naturally in many applications, including medical diagnosis, intrusion detection, and object tracking. In this…

Systems and Control · Computer Science 2018-10-02 Bo Wu , Mohamadreza Ahmadi , Suda Bharadwaj , Ufuk Topcu

Model mismatches prevail in real-world applications. Ensuring safety for systems with uncertain dynamic models is critical. However, existing robust safe controllers may not be realizable when control limits exist. And existing methods use…

Robotics · Computer Science 2023-03-08 Tianhao Wei , Shucheng Kang , Weiye Zhao , Changliu Liu

This article presents novel methods for synthesizing distributionally robust stabilizing neural controllers and certificates for control systems under model uncertainty. A key challenge in designing controllers with stability guarantees for…

Systems and Control · Electrical Eng. & Systems 2024-08-06 Kehan Long , Jorge Cortes , Nikolay Atanasov

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…

Machine Learning · Computer Science 2020-06-18 Chin Pang Ho , Marek Petrik , Wolfram Wiesemann

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…

Optimization and Control · Mathematics 2014-10-13 Yinlam Chow , Mohammad Ghavamzadeh

This paper studies constrained Markov decision processes (CMDPs) with constraints against stochastic thresholds, aiming at safety of reinforcement learning in unknown and uncertain environments. We leverage a Growing-Window estimator…

Machine Learning · Computer Science 2025-12-25 Qian Zuo , Fengxiang He

We consider a class of partially observable Markov decision processes (POMDPs) with uncertain transition and/or observation probabilities. The uncertainty takes the form of probability intervals. Such uncertain POMDPs can be used, for…

Systems and Control · Computer Science 2018-07-12 Mohamadreza Ahmadi , Murat Cubuktepe , Nils Jansen , Ufuk Topcu

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…

Artificial Intelligence · Computer Science 2017-03-08 Shirli Di-Castro Shashua , Shie Mannor

Decision-making under uncertainty is a critical aspect of many practical autonomous systems due to incomplete information. Partially Observable Markov Decision Processes (POMDPs) offer a mathematically principled framework for formulating…

Artificial Intelligence · Computer Science 2025-10-28 Moran Barenboim , Vadim Indelman

This paper targets control problems that exhibit specific safety and performance requirements. In particular, the aim is to ensure that an agent, operating under uncertainty, will at runtime strictly adhere to such requirements. Previous…

Logic in Computer Science · Computer Science 2020-10-09 Stefan Pranger , Bettina Könighofer , Martin Tappler , Martin Deixelberger , Nils Jansen , Roderick Bloem

Recent research in decision theoretic planning has focussed on making the solution of Markov decision processes (MDPs) more feasible. We develop a family of algorithms for structured reachability analysis of MDPs that are suitable when an…

Artificial Intelligence · Computer Science 2013-04-24 Craig Boutilier , Ronen I. Brafman , Christopher W. Geib

In this paper we investigate the tractability of robust Markov Decision Processes (RMDPs) under various structural assumptions on the uncertainty set. Surprisingly, we show that in all generality (i.e. without any assumption on the…

Optimization and Control · Mathematics 2024-11-14 Julien Grand-Clément , Nian Si , Shengbo Wang

In Model-based Reinforcement Learning (MBRL), model learning is critical since an inaccurate model can bias policy learning via generating misleading samples. However, learning an accurate model can be difficult since the policy is…

Machine Learning · Computer Science 2023-01-23 Zifan Wu , Chao Yu , Chen Chen , Jianye Hao , Hankz Hankui Zhuo

In this paper, we propose a data-driven robust safety verification framework for stochastic dynamical systems modeled as Markov decision processes with time-varying and uncertain transition probabilities. Rather than assuming access to the…

Systems and Control · Electrical Eng. & Systems 2025-12-09 Abhijit Mazumdar , Manuela L. Bujorianu , Rafal Wisniewski

This work proposes a novel robust model predictive control (MPC) algorithm for linear systems affected by dynamic model uncertainty and exogenous disturbances. The uncertainty is modeled using a linear fractional perturbation structure with…

Systems and Control · Electrical Eng. & Systems 2022-06-10 Anilkumar Parsi , Andrea Iannelli , Roy S. Smith

As robotic systems move from highly structured environments to open worlds, incorporating uncertainty from dynamics learning or state estimation into the control pipeline is essential for robust performance. In this paper we present a…

Systems and Control · Electrical Eng. & Systems 2021-09-14 Robert Dyro , James Harrison , Apoorva Sharma , Marco Pavone

We introduce the concept of structured synthesis for Markov decision processes where the structure is induced from finitely many pre-specified options for a system configuration. The resulting synthesis problem is in general a nonlinear…

Software Engineering · Computer Science 2018-07-18 Nils Jansen , Laura Humphrey , Jana Tumova , Ufuk Topcu

Multi-model Markov decision process (MMDP) is a promising framework for computing policies that are robust to parameter uncertainty in MDPs. MMDPs aim to find a policy that maximizes the expected return over a distribution of MDP models.…

Machine Learning · Computer Science 2025-07-15 Xihong Su , Marek Petrik

The Markov assumption in Markov Decision Processes (MDPs) is fundamental in reinforcement learning, influencing both theoretical research and practical applications. Existing methods that rely on the Bellman equation benefit tremendously…

Methodology · Statistics 2024-09-24 Chuyun Ye , Lixing Zhu , Ruoqing Zhu
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