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Current reinforcement-learning methods are unable to directly learn policies that solve the minimum cost reach-avoid problem to minimize cumulative costs subject to the constraints of reaching the goal and avoiding unsafe states, as the…

Machine Learning · Computer Science 2024-10-31 Oswin So , Cheng Ge , Chuchu Fan

Ensuring safety is important for the practical deployment of reinforcement learning (RL). Various challenges must be addressed, such as handling stochasticity in the environments, providing rigorous guarantees of persistent state-wise…

Machine Learning · Computer Science 2023-09-26 Milan Ganai , Zheng Gong , Chenning Yu , Sylvia Herbert , Sicun Gao

We study the problem of learning controllers for discrete-time non-linear stochastic dynamical systems with formal reach-avoid guarantees. This work presents the first method for providing formal reach-avoid guarantees, which combine and…

Machine Learning · Computer Science 2022-11-30 Đorđe Žikelić , Mathias Lechner , Thomas A. Henzinger , Krishnendu Chatterjee

Reach-avoid optimal control problems, in which the system must reach certain goal conditions while staying clear of unacceptable failure modes, are central to safety and liveness assurance for autonomous robotic systems, but their exact…

Machine Learning · Computer Science 2022-01-25 Kai-Chieh Hsu , Vicenç Rubies-Royo , Claire J. Tomlin , Jaime F. Fisac

Sequential decision making using Markov Decision Process underpins many realworld applications. Both model-based and model free methods have achieved strong results in these settings. However, real-world tasks must balance reward…

Machine Learning · Computer Science 2026-04-01 Janaka Chathuranga Brahmanage , Akshat Kumar

Reinforcement learning (RL) for reachability specifications is fundamental in sequential decision-making, yet theoretical guarantees remain less explored. A recent work achieves asymptotic convergence to optimal policies. However, this…

Machine Learning · Computer Science 2026-05-26 Amogh Palasamudram , Jakub Svoboda , Suguman Bansal , Krishnendu Chatterjee

This paper proposes tackling safety-critical stochastic Reinforcement Learning (RL) tasks with a sample-based, model-based approach. At the core of the method lies a Model Predictive Control (MPC) scheme that acts as function approximation,…

Systems and Control · Electrical Eng. & Systems 2025-07-30 Filippo Airaldi , Bart De Schutter , Azita Dabiri

Model-based reinforcement learning seeks to simultaneously learn the dynamics of an unknown stochastic environment and synthesise an optimal policy for acting in it. Ensuring the safety and robustness of sequential decisions made through a…

Machine Learning · Computer Science 2023-10-04 Matthew Wicker , Luca Laurenti , Andrea Patane , Nicola Paoletti , Alessandro Abate , Marta Kwiatkowska

It is quite challenging to ensure the safety of reinforcement learning (RL) agents in an unknown and stochastic environment under hard constraints that require the system state not to reach certain specified unsafe regions. Many popular…

Systems and Control · Electrical Eng. & Systems 2023-06-14 Yixuan Wang , Simon Sinong Zhan , Ruochen Jiao , Zhilu Wang , Wanxin Jin , Zhuoran Yang , Zhaoran Wang , Chao Huang , Qi Zhu

In this work we address the problem of finding feasible policies for Constrained Markov Decision Processes under probability one constraints. We argue that stationary policies are not sufficient for solving this problem, and that a rich…

Machine Learning · Computer Science 2023-02-14 Agustin Castellano , Hancheng Min , Juan Bazerque , Enrique Mallada

We consider the problem of learning the optimal policy for Markov decision processes with safety constraints. We formulate the problem in a reach-avoid setup. Our goal is to design online reinforcement learning algorithms that ensure safety…

Machine Learning · Computer Science 2026-01-21 Abhijit Mazumdar , Rafal Wisniewski , Manuela L. Bujorianu

Robust reinforcement learning (RL) aims to find a policy that optimizes the worst-case performance in the face of uncertainties. In this paper, we focus on action robust RL with the probabilistic policy execution uncertainty, in which,…

Machine Learning · Computer Science 2023-07-21 Guanlin Liu , Zhihan Zhou , Han Liu , Lifeng Lai

Ensuring safety in Reinforcement Learning (RL), typically framed as a Constrained Markov Decision Process (CMDP), is crucial for real-world exploration applications. Current approaches in handling CMDP struggle to balance optimality and…

Robotics · Computer Science 2024-03-07 Zhaorun Chen , Zhuokai Zhao , Tairan He , Binhao Chen , Xuhao Zhao , Liang Gong , Chengliang Liu

We consider controller synthesis for stochastic and partially unknown environments in which safety is essential. Specifically, we abstract the problem as a Markov decision process in which the expected performance is measured using a cost…

Software Engineering · Computer Science 2015-10-21 Sebastian Junges , Nils Jansen , Christian Dehnert , Ufuk Topcu , Joost-Pieter Katoen

Constrained Reinforcement Learning has been employed to enforce safety constraints on policy through the use of expected cost constraints. The key challenge is in handling expected cost accumulated using the policy and not just in a single…

Machine Learning · Computer Science 2024-01-17 Hao Jiang , Tien Mai , Pradeep Varakantham , Minh Huy Hoang

This article deals with stochastic processes endowed with the Markov (memoryless) property and evolving over general (uncountable) state spaces. The models further depend on a non-deterministic quantity in the form of a control input, which…

Systems and Control · Computer Science 2015-09-11 Sofie Haesaert , Robert Babuska , Alessandro Abate

Hard constraints in reinforcement learning (RL) often degrade policy performance. Lagrangian methods offer a way to blend objectives with constraints, but require intricate reward engineering and parameter tuning. In this work, we extend…

Artificial Intelligence · Computer Science 2025-12-05 William Sharpless , Dylan Hirsch , Sander Tonkens , Nikhil Shinde , Sylvia Herbert

Constrained reinforcement learning (CRL) has gained significant interest recently, since safety constraints satisfaction is critical for real-world problems. However, existing CRL methods constraining discounted cumulative costs generally…

Machine Learning · Computer Science 2022-06-08 Dongjie Yu , Haitong Ma , Shengbo Eben Li , Jianyu Chen

We propose a new reachability learning framework for high-dimensional nonlinear systems, focusing on reach-avoid problems. These problems require computing the reach-avoid set, which ensures that all its elements can safely reach a target…

Systems and Control · Electrical Eng. & Systems 2025-02-18 Jingqi Li , Donggun Lee , Jaewon Lee , Kris Shengjun Dong , Somayeh Sojoudi , Claire Tomlin

We study optimality for the safety-constrained Markov decision process which is the underlying framework for safe reinforcement learning. Specifically, we consider a constrained Markov decision process (with finite states and finite…

Systems and Control · Electrical Eng. & Systems 2023-07-13 Rahul Misra , Rafał Wisniewski , Carsten Skovmose Kallesøe
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