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The main focus of Hierarchical Reinforcement Learning (HRL) is studying how large Markov Decision Processes (MDPs) can be more efficiently solved when addressed in a modular way, by combining partial solutions computed for smaller subtasks.…

Machine Learning · Computer Science 2025-12-05 Roberto Cipollone , Luca Iocchi , Matteo Leonetti

While Deep Reinforcement Learning (DRL) has emerged as a promising solution for intricate control tasks, the lack of explainability of the learned policies impedes its uptake in safety-critical applications, such as automated driving…

Machine Learning · Computer Science 2024-04-30 Amir Samadi , Konstantinos Koufos , Kurt Debattista , Mehrdad Dianati

This paper introduces a uniform substitution calculus for differential refinement logic dRL. The logic dRL extends the differential dynamic logic dL such that one can simultaneously reason about properties of and relations between hybrid…

Logic in Computer Science · Computer Science 2024-07-11 Enguerrand Prebet , André Platzer

We study a robust alternative to empirical risk minimization called distributionally robust learning (DRL), in which one learns to perform against an adversary who can choose the data distribution from a specified set of distributions. We…

Machine Learning · Computer Science 2019-12-19 Charlie Frogner , Sebastian Claici , Edward Chien , Justin Solomon

We study constrained reinforcement learning (CRL) from a novel perspective by setting constraints directly on state density functions, rather than the value functions considered by previous works. State density has a clear physical and…

Machine Learning · Computer Science 2021-06-25 Zengyi Qin , Yuxiao Chen , Chuchu Fan

Continuous-time nonlinear optimal control problems hold great promise in real-world applications. After decades of development, reinforcement learning (RL) has achieved some of the greatest successes as a general nonlinear control design…

Systems and Control · Electrical Eng. & Systems 2023-07-19 Brent A. Wallace , Jennie Si

The volatility fitting is one of the core problems in the equity derivatives business. Through a set of deterministic rules, the degrees of freedom in the implied volatility surface encoding (parametrization, density, diffusion) are…

Computational Finance · Quantitative Finance 2024-10-16 Emmanuel Gnabeyeu , Omar Karkar , Imad Idboufous

The aim of this work is to provide a family of qualitative theories for spatial change in general, and for motion of spatial scenes in particular. To achieve this, we consider a spatio-temporalisation MTALC(D_x), of the well-known ALC(D)…

Artificial Intelligence · Computer Science 2007-05-23 Amar Isli

Deep reinforcement learning (DRL) has shown significant promise for uncovering sophisticated control policies that interact in complex environments, such as stabilizing a tokamak fusion reactor or minimizing the drag force on an object in a…

Machine Learning · Computer Science 2025-08-26 Nicholas Zolman , Christian Lagemann , Urban Fasel , J. Nathan Kutz , Steven L. Brunton

Deep Reinforcement Learning (DRL) is applied to control a nonlinear, chaotic system governed by the one-dimensional Kuramoto-Sivashinsky (KS) equation. DRL uses reinforcement learning principles for the determination of optimal control…

Deep Reinforcement Learning (DRL) has achieved remarkable success in sequential decision-making tasks across diverse domains, yet its reliance on black-box neural architectures hinders interpretability, trust, and deployment in high-stakes…

Machine Learning · Computer Science 2025-02-12 Zelei Cheng , Jiahao Yu , Xinyu Xing

Soft robots are gaining popularity thanks to their intrinsic safety to contacts and adaptability. However, the potentially infinite number of Degrees of Freedom makes their modeling a daunting task, and in many cases only an approximated…

Robotics · Computer Science 2024-01-26 Gabriele Tiboni , Andrea Protopapa , Tatiana Tommasi , Giuseppe Averta

We consider the Dynamical Low Rank (DLR) approximation of random parabolic equations and propose a class of fully discrete numerical schemes. Similarly to the continuous DLR approximation, our schemes are shown to satisfy a discrete…

Numerical Analysis · Mathematics 2022-01-25 Yoshihito Kazashi , Fabio Nobile , Eva Vidličková

We propose to demonstrate a network slice placement optimization solution based on Deep Reinforcement Learning (DRL), referred to as Heuristically-controlled DRL, which uses a heuristic to control the DRL algorithm convergence. The solution…

Networking and Internet Architecture · Computer Science 2021-09-28 José Jurandir Alves Esteves , Amina Boubendir , Fabrice Guillemin , Pierre Sens

Effectively controlling systems governed by Partial Differential Equations (PDEs) is crucial in several fields of Applied Sciences and Engineering. These systems usually yield significant challenges to conventional control schemes due to…

Machine Learning · Computer Science 2024-11-07 Florian Wolf , Nicolò Botteghi , Urban Fasel , Andrea Manzoni

Recommender Systems (RS) are fundamental to modern online services. While most existing approaches optimize for short-term engagement, recent work has begun to explore reinforcement learning (RL) to model long-term user value. However,…

Information Retrieval · Computer Science 2026-02-26 Minmao Wang , Xingchen Liu , Shijie Yi , Likang Wu , Hongke Zhao , Fei Pan , Qingpeng Cai , Peng Jiang

Symmetry is pervasive in robotics and has been widely exploited to improve sample efficiency in deep reinforcement learning (DRL). However, existing approaches primarily focus on spatial symmetries, such as reflection, rotation, and…

Robotics · Computer Science 2025-10-22 Yunpeng Jiang , Jianshu Hu , Paul Weng , Yutong Ban

Groundbreaking successes have been achieved by Deep Reinforcement Learning (DRL) in solving practical decision-making problems. Robotics, in particular, can involve high-cost hardware and human interactions. Hence, scrupulous evaluations of…

Artificial Intelligence · Computer Science 2020-10-20 Davide Corsi , Enrico Marchesini , Alessandro Farinelli

The notion of arc consistency plays a central role in constraint satisfaction. It is known that the notion of local consistency can be extended to constraint optimisation problems defined by soft constraint frameworks based on an idempotent…

Artificial Intelligence · Computer Science 2007-05-23 Martin Cooper , Thomas Schiex

Deploying Reinforcement Learning (RL) agents to solve real-world applications often requires satisfying complex system constraints. Often the constraint thresholds are incorrectly set due to the complex nature of a system or the inability…

Machine Learning · Computer Science 2020-11-30 Dan A. Calian , Daniel J. Mankowitz , Tom Zahavy , Zhongwen Xu , Junhyuk Oh , Nir Levine , Timothy Mann