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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

This paper proposes an on-policy reinforcement learning (RL) control algorithm that solves the optimal regulation problem for a class of uncertain continuous-time nonlinear systems under user-defined state constraints. We formulate the safe…

Systems and Control · Electrical Eng. & Systems 2022-09-20 Soutrik Bandyopadhyay , Shubhendu Bhasin

Reinforcement learning (RL) has significantly advanced the control of physics-based and robotic characters that track kinematic reference motion. However, methods typically rely on a weighted sum of conflicting reward functions, requiring…

Robotics · Computer Science 2025-05-30 Lucas N. Alegre , Agon Serifi , Ruben Grandia , David Müller , Espen Knoop , Moritz Bächer

In this letter, we discuss the problem of optimal control for affine systems in the context of data-driven linear programming. First, we introduce a unified framework for the fixed point characterization of the value function, Q-function…

Systems and Control · Electrical Eng. & Systems 2022-07-12 Andrea Martinelli , Matilde Gargiani , Marina Draskovic , John Lygeros

In this work, we consider policy-based methods for solving the reinforcement learning problem, and establish the sample complexity guarantees. A policy-based algorithm typically consists of an actor and a critic. We consider using various…

Machine Learning · Computer Science 2023-01-16 Zaiwei Chen , Siva Theja Maguluri

Due to the nature of risk management in learning applicable policies, risk-sensitive reinforcement learning (RSRL) has been realized as an important direction. RSRL is usually achieved by learning risk-sensitive objectives characterized by…

Machine Learning · Computer Science 2025-11-04 Ruiwen Zhou , Minghuan Liu , Kan Ren , Xufang Luo , Weinan Zhang , Dongsheng Li

Reinforcement learning techniques achieved human-level performance in several tasks in the last decade. However, in recent years, the need for interpretability emerged: we want to be able to understand how a system works and the reasons…

Machine Learning · Computer Science 2023-01-13 Leonardo Lucio Custode , Giovanni Iacca

To overcome the curses of dimensionality and modeling of Dynamic Programming (DP) methods to solve Markov Decision Process (MDP) problems, Reinforcement Learning (RL) methods are adopted in practice. Contrary to traditional RL algorithms…

Machine Learning · Computer Science 2021-08-24 Arghyadip Roy , Vivek Borkar , Abhay Karandikar , Prasanna Chaporkar

Meta-reinforcement learning (Meta-RL) has attracted attention due to its capability to enhance reinforcement learning (RL) algorithms, in terms of data efficiency and generalizability. In this paper, we develop a bilevel optimization…

Machine Learning · Computer Science 2024-10-15 Siyuan Xu , Minghui Zhu

The Bellman equation and its continuous-time counterpart, the Hamilton-Jacobi-Bellman (HJB) equation, serve as necessary conditions for optimality in reinforcement learning and optimal control. While the value function is known to be the…

Machine Learning · Computer Science 2025-03-07 Haoxiang You , Lekan Molu , Ian Abraham

In many real-world applications, reinforcement learning (RL) agents might have to solve multiple tasks, each one typically modeled via a reward function. If reward functions are expressed linearly, and the agent has previously learned a set…

Machine Learning · Computer Science 2022-06-24 Lucas N. Alegre , Ana L. C. Bazzan , Bruno C. da Silva

Some approaches to solving challenging dynamic programming problems, such as Q-learning, begin by transforming the Bellman equation into an alternative functional equation, in order to open up a new line of attack. Our paper studies this…

Optimization and Control · Mathematics 2019-12-05 Qingyin Ma , John Stachurski

We propose a framework that can incrementally expand the explanatory temporal logic rule set to explain the occurrence of temporal events. Leveraging the temporal point process modeling and learning framework, the rule content and weights…

Machine Learning · Computer Science 2023-08-14 Chao Yang , Lu Wang , Kun Gao , Shuang Li

A fundamental challenge in reinforcement learning is to learn policies that generalize beyond the operating domains experienced during training. In this paper, we approach this challenge through the following invariance principle: an agent…

Machine Learning · Computer Science 2020-11-10 Anoopkumar Sonar , Vincent Pacelli , Anirudha Majumdar

In value-based deep reinforcement learning methods, approximation of value functions induces overestimation bias and leads to suboptimal policies. We show that in deep actor-critic methods that aim to overcome the overestimation bias, if…

Machine Learning · Computer Science 2021-12-28 Baturay Saglam , Enes Duran , Dogan C. Cicek , Furkan B. Mutlu , Suleyman S. Kozat

Many real-world problems require trading off multiple competing objectives. However, these objectives are often in different units and/or scales, which can make it challenging for practitioners to express numerical preferences over…

Multi-task learning is a very challenging problem in reinforcement learning. While training multiple tasks jointly allow the policies to share parameters across different tasks, the optimization problem becomes non-trivial: It remains…

Machine Learning · Computer Science 2020-12-08 Ruihan Yang , Huazhe Xu , Yi Wu , Xiaolong Wang

Sequential decision making in the presence of uncertainty and stochastic dynamics gives rise to distributions over state/action trajectories in reinforcement learning (RL) and optimal control problems. This observation has led to a variety…

Machine Learning · Computer Science 2021-09-30 Jad Rahme , Ryan P. Adams

Model-based reinforcement learning techniques accelerate the learning task by employing a transition model to make predictions. In this paper, a model-based learning approach is presented that iteratively computes the optimal value function…

Optimization and Control · Mathematics 2020-10-22 Milad Farsi , Jun Liu

We apply Reinforcement Learning algorithms to solve the classic quantitative finance Market Making problem, in which an agent provides liquidity to the market by placing buy and sell orders while maximizing a utility function. The optimal…

Machine Learning · Computer Science 2021-04-12 Matias Selser , Javier Kreiner , Manuel Maurette
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