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This paper bridges some of the gap between optimal planning and reinforcement learning (RL), both of which share roots in dynamic programming applied to sequential decision making or optimal control. Whereas planning typically favors…

Robotics · Computer Science 2026-03-10 Filip V. Georgiev , Kalle G. Timperi , Başak Sakçak , Steven M. LaValle

This work presents a technique for learning systems, where the learning process is guided by knowledge of the physics of the system. In particular, we solve the problem of the two-point boundary optimal control problem of linear…

Systems and Control · Electrical Eng. & Systems 2021-05-03 Vasanth Reddy , Hoda Eldardiry , Almuatazbellah Boker

Learned representations in deep reinforcement learning (DRL) have to extract task-relevant information from complex observations, balancing between robustness to distraction and informativeness to the policy. Such stable and rich…

Machine Learning · Computer Science 2021-10-28 Mete Kemertas , Tristan Aumentado-Armstrong

Policy gradient (PG) methods are successful approaches to deal with continuous reinforcement learning (RL) problems. They learn stochastic parametric (hyper)policies by either exploring in the space of actions or in the space of parameters.…

Machine Learning · Computer Science 2024-05-31 Alessandro Montenegro , Marco Mussi , Alberto Maria Metelli , Matteo Papini

Reinforcement learning (RL) algorithms can achieve state-of-the-art performance in decision-making and continuous control tasks. However, applying RL algorithms on safety-critical systems still needs to be well justified due to the…

Robotics · Computer Science 2022-11-22 Mahmoud Selim , Amr Alanwar , M. Watheq El-Kharashi , Hazem M. Abbas , Karl H. Johansson

What is the role of real-time control and learning in the formation of social conventions? To answer this question, we propose a computational model that matches human behavioral data in a social decision-making game that was analyzed both…

Multiagent Systems · Computer Science 2020-01-03 Ismael T. Freire , Clement Moulin-Frier , Marti Sanchez-Fibla , Xerxes D. Arsiwalla , Paul Verschure

Learning physical dynamics in a series of non-stationary environments is a challenging but essential task for model-based reinforcement learning (MBRL) with visual inputs. It requires the agent to consistently adapt to novel tasks without…

Machine Learning · Computer Science 2025-07-08 Minting Pan , Wendong Zhang , Geng Chen , Xiangming Zhu , Siyu Gao , Yunbo Wang , Xiaokang Yang

Autonomous vehicles inevitably encounter a vast array of scenarios in real-world environments. Addressing long-tail scenarios, particularly those involving intensive interactions with numerous traffic participants, remains one of the most…

Robotics · Computer Science 2024-12-16 Guanzhou Li , Jianping Wu , Yujing He

This paper applies a reinforcement learning (RL) method to solve infinite horizon continuous-time stochastic linear quadratic problems, where drift and diffusion terms in the dynamics may depend on both the state and control. Based on…

Optimization and Control · Mathematics 2021-09-17 Na Li , Xun Li , Jing Peng , Zuo Quan Xu

In recent years, on-policy reinforcement learning (RL) has been successfully applied to many different continuous control tasks. While RL algorithms are often conceptually simple, their state-of-the-art implementations take numerous low-…

A central question in robotics is how to design a control system for an agile mobile robot. This paper studies this question systematically, focusing on a challenging setting: autonomous drone racing. We show that a neural network…

Robotics · Computer Science 2023-10-19 Yunlong Song , Angel Romero , Matthias Mueller , Vladlen Koltun , Davide Scaramuzza

This paper proposes a safe reinforcement learning (RL) framework based on forward-invariance-induced action-space design. The control problem is cast as a Markov decision process, but instead of relying on runtime shielding or penalty-based…

Systems and Control · Electrical Eng. & Systems 2026-04-10 Chieh Tsai , Muhammad Junayed Hasan Zahed , Salim Hariri , Hossein Rastgoftar

We consider a class of reinforcement-learning systems in which the agent follows a behavior policy to explore a discrete state-action space to find an optimal policy while adhering to some restriction on its behavior. Such restriction may…

Machine Learning · Computer Science 2023-04-07 Peter C. Y. Chen

Dynamic Reinforcement Learning (Dynamic RL), proposed in this paper, directly controls system dynamics, instead of the actor (action-generating neural network) outputs at each moment, bringing about a major qualitative shift in…

Machine Learning · Computer Science 2025-02-17 Katsunari Shibata

The framework of reinforcement learning or optimal control provides a mathematical formalization of intelligent decision making that is powerful and broadly applicable. While the general form of the reinforcement learning problem enables…

Machine Learning · Computer Science 2018-05-22 Sergey Levine

Reinforcement learning (RL) has become the de facto method for achieving locomotion on humanoid robots in practice, yet stability analysis of the corresponding control policies is lacking. Recent work has attempted to merge control…

Systems and Control · Electrical Eng. & Systems 2026-05-07 Zachary Olkin , William D. Compton , Aaron D. Ames

We propose and analyze a continuous-time robust reinforcement learning framework for optimal stopping under ambiguity. In this framework, an agent chooses a robust exploratory stopping time motivated by two objectives: robust…

Optimization and Control · Mathematics 2026-04-17 Junyan Ye , Hoi Ying Wong , Kyunghyun Park

In Reinforcement Learning (abbreviated as RL), an agent interacts with the environment via a set of possible actions, and a reward is generated from some unknown distribution. The task here is to find an optimal set of actions such that the…

Machine Learning · Computer Science 2025-07-21 Aditi Anand , Suman Banerjee , Dildar Ali

We investigate the bang-bang property for fairly general classes of $L^\infty-L^1$ constrained bilinear optimal control problems in two cases: that of the one-dimensional torus, in which case we consider parabolic equations, and that of…

Optimization and Control · Mathematics 2023-02-24 Idriss Mazari

Commonly in reinforcement learning (RL), rewards are discounted over time using an exponential function to model time preference, thereby bounding the expected long-term reward. In contrast, in economics and psychology, it has been shown…

Machine Learning · Computer Science 2022-12-08 Matthias Schultheis , Constantin A. Rothkopf , Heinz Koeppl