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This paper studies the continuous-time reinforcement learning (RL) for optimal switching problems across multiple regimes. We consider a type of exploratory formulation under entropy regularization where the agent randomizes both the timing…

Optimization and Control · Mathematics 2025-12-23 Yijie Huang , Mengge Li , Xiang Yu , Zhou Zhou

In many real-world applications, safety constraints for reinforcement learning (RL) algorithms are either unknown or not explicitly defined. We propose a framework that concurrently learns safety constraints and optimal RL policies in such…

Systems and Control · Electrical Eng. & Systems 2023-05-02 Lunet Yifru , Ali Baheri

Constrained Reinforcement Learning (CRL) addresses sequential decision-making problems where agents are required to achieve goals by maximizing the expected return while meeting domain-specific constraints. In this setting, policy-based…

Machine Learning · Computer Science 2025-06-09 Alessandro Montenegro , Leonardo Cesani , Marco Mussi , Matteo Papini , Alberto Maria Metelli

Reinforcement Learning (RL) has demonstrated a huge potential in learning optimal policies without any prior knowledge of the process to be controlled. Model Predictive Control (MPC) is a popular control technique which is able to deal with…

Systems and Control · Computer Science 2019-04-10 Mario Zanon , Sébastien Gros , Alberto Bemporad

In practical applications, we can rarely assume full observability of a system's environment, despite such knowledge being important for determining a reactive control system's precise interaction with its environment. Therefore, we propose…

Machine Learning · Computer Science 2022-06-24 Edi Muskardin , Martin Tappler , Bernhard K. Aichernig , Ingo Pill

Policies trained via Reinforcement Learning (RL) are often needlessly complex, making them difficult to analyse and interpret. In a run with $n$ time steps, a policy will make $n$ decisions on actions to take; we conjecture that only a…

Machine Learning · Computer Science 2021-10-27 Hadrien Pouget , Hana Chockler , Youcheng Sun , Daniel Kroening

We propose a framework for learning a fragment of probabilistic computation tree logic (pCTL) formulae from a set of states that are labeled as safe or unsafe. We work in a relational setting and combine ideas from relational Markov…

Artificial Intelligence · Computer Science 2022-11-08 Gavin Rens , Wen-Chi Yang , Jean-François Raskin , Luc De Raedt

Sequential decision making under uncertainty is central to many Process Systems Engineering (PSE) challenges, where traditional methods often face limitations related to controlling and optimizing complex and stochastic systems.…

Systems and Control · Electrical Eng. & Systems 2025-10-29 Maximilian Bloor , Max Mowbray , Ehecatl Antonio Del Rio Chanona , Calvin Tsay

Reinforcement learning (RL) and model predictive control (MPC) offer a wealth of distinct approaches for automatic decision-making under uncertainty. Given the impact both fields have had independently across numerous domains, there is…

Systems and Control · Electrical Eng. & Systems 2025-10-13 Nathan P. Lawrence , Philip D. Loewen , Michael G. Forbes , R. Bhushan Gopaluni , Ali Mesbah

We consider the problem of finding optimal policies for a Markov Decision Process with almost sure constraints on state transitions and action triplets. We define value and action-value functions that satisfy a barrier-based decomposition…

Machine Learning · Computer Science 2020-12-25 Agustin Castellano , Juan Bazerque , Enrique Mallada

Reinforcement Learning (RL) is a widely employed machine learning architecture that has been applied to a variety of control problems. However, applications in safety-critical domains require a systematic and formal approach to specifying…

Machine Learning · Computer Science 2023-06-07 Hosein Hasanbeig , Daniel Kroening , Alessandro Abate

Vanilla Reinforcement Learning (RL) can efficiently solve complex tasks but does not provide any guarantees on system behavior. To bridge this gap, we propose a three-step safe RL procedure for continuous action spaces that provides…

Robotics · Computer Science 2023-09-29 Hanna Krasowski , Prithvi Akella , Aaron D. Ames , Matthias Althoff

Researchers have demonstrated that Deep Reinforcement Learning (DRL) is a powerful tool for finding policies that perform well on complex robotic systems. However, these policies are often unpredictable and can induce highly variable…

Robotics · Computer Science 2022-03-08 Sean Gillen , Asutay Ozmen , Katie Byl

Trustworthy verifiers are essential for the success of reinforcement learning with verifiable reward (RLVR), which is the core methodology behind various large reasoning models such as DeepSeek-R1. In complex domains like mathematical…

Machine Learning · Computer Science 2025-10-08 Yuzhen Huang , Weihao Zeng , Xingshan Zeng , Qi Zhu , Junxian He

Reinforcement learning is a powerful paradigm for learning optimal policies from experimental data. However, to find optimal policies, most reinforcement learning algorithms explore all possible actions, which may be harmful for real-world…

Machine Learning · Statistics 2017-11-15 Felix Berkenkamp , Matteo Turchetta , Angela P. Schoellig , Andreas Krause

Statistical model checking (SMC) is a technique for analysis of probabilistic systems that may be (partially) unknown. We present an SMC algorithm for (unbounded) reachability yielding probably approximately correct (PAC) guarantees on the…

Systems and Control · Computer Science 2021-02-02 Pranav Ashok , Jan Křetínský , Maximilian Weininger

We establish a new connection between value and policy based reinforcement learning (RL) based on a relationship between softmax temporal value consistency and policy optimality under entropy regularization. Specifically, we show that…

Artificial Intelligence · Computer Science 2017-11-27 Ofir Nachum , Mohammad Norouzi , Kelvin Xu , Dale Schuurmans

Reinforcement Learning (RL) has enabled Large Language Models (LLMs) to achieve remarkable reasoning in domains like mathematics and coding, where verifiable rewards provide clear signals. However, extending this paradigm to financial…

Artificial Intelligence · Computer Science 2026-01-09 Rui Sun , Yifan Sun , Sheng Xu , Li Zhao , Jing Li , Daxin Jiang , Cheng Hua , Zuo Bai

We present a reinforcement learning (RL) framework to synthesize a control policy from a given linear temporal logic (LTL) specification in an unknown stochastic environment that can be modeled as a Markov Decision Process (MDP).…

Robotics · Computer Science 2026-04-07 Alper Kamil Bozkurt , Yu Wang , Michael M. Zavlanos , Miroslav Pajic

This paper presents COOL-MC, a tool that integrates state-of-the-art reinforcement learning (RL) and model checking. Specifically, the tool builds upon the OpenAI gym and the probabilistic model checker Storm. COOL-MC provides the following…

Machine Learning · Computer Science 2022-09-16 Dennis Gross , Nils Jansen , Sebastian Junges , Guillermo A. Perez