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We propose an actor-critic framework to solve the time-continuous stochastic optimal control problem. A least square temporal difference method is applied to compute the value function for the critic. The policy gradient method is…

Optimization and Control · Mathematics 2025-01-27 Mo Zhou , Jianfeng Lu

This paper presents a novel approach to learning free terminal time closed-loop control for robotic manipulation tasks, enabling dynamic adjustment of task duration and control inputs to enhance performance. We extend the supervised…

Optimization and Control · Mathematics 2025-07-15 Wei Hu , Yue Zhao , Weinan E , Jiequn Han , Jihao Long

Current model-based reinforcement learning approaches use the model simply as a learned black-box simulator to augment the data for policy optimization or value function learning. In this paper, we show how to make more effective use of the…

Machine Learning · Computer Science 2020-05-19 Ignasi Clavera , Violet Fu , Pieter Abbeel

Actor-critic (AC) methods have exhibited great empirical success compared with other reinforcement learning algorithms, where the actor uses the policy gradient to improve the learning policy and the critic uses temporal difference learning…

Machine Learning · Computer Science 2022-10-11 Yue Wu , Weitong Zhang , Pan Xu , Quanquan Gu

We focus on a simulation-based optimization problem of choosing the best design from the feasible space. Although the simulation model can be queried with finite samples, its internal processing rule cannot be utilized in the optimization…

Machine Learning · Computer Science 2021-11-02 Kuo Li , Qing-Shan Jia , Jiaqi Yan

Value-based algorithms are a cornerstone of off-policy reinforcement learning due to their simplicity and training stability. However, their use has traditionally been restricted to discrete action spaces, as they rely on estimating…

Machine Learning · Computer Science 2025-10-23 Yigit Korkmaz , Urvi Bhuwania , Ayush Jain , Erdem Bıyık

This paper explores continuous-time and state-space optimal stopping problems from a reinforcement learning perspective. We begin by formulating the stopping problem using randomized stopping times, where the decision maker's control is…

Optimization and Control · Mathematics 2026-03-12 Jodi Dianetti , Giorgio Ferrari , Renyuan Xu

Model-free off-policy actor-critic methods are an efficient solution to complex continuous control tasks. However, these algorithms rely on a number of design tricks and hyperparameters, making their application to new domains difficult and…

Machine Learning · Computer Science 2021-10-26 Jake Grigsby , Jin Yong Yoo , Yanjun Qi

We consider the problem of finding a policy that maximizes an expected reward throughout the trajectory of an agent that interacts with an unknown environment. Frequently denoted Reinforcement Learning, this framework suffers from the need…

Systems and Control · Electrical Eng. & Systems 2020-09-30 Juan Cervino , Harshat Kumar , Alejandro Ribeiro

On error of value function inevitably causes an overestimation phenomenon and has a negative impact on the convergence of the algorithms. To mitigate the negative effects of the approximation error, we propose Error Controlled Actor-critic…

Machine Learning · Computer Science 2021-09-08 Xingen Gao , Fei Chao , Changle Zhou , Zhen Ge , Chih-Min Lin , Longzhi Yang , Xiang Chang , Changjing Shang

Actor-critic methods, a type of model-free Reinforcement Learning, have been successfully applied to challenging tasks in continuous control, often achieving state-of-the art performance. However, wide-scale adoption of these methods in…

Machine Learning · Statistics 2019-10-29 Kamil Ciosek , Quan Vuong , Robert Loftin , Katja Hofmann

Motivated by the recent applications of game-theoretical learning techniques to the design of distributed control systems, we study a class of control problems that can be formulated as potential games with continuous action sets, and we…

Optimization and Control · Mathematics 2014-12-03 Steven Perkins , Panayotis Mertikopoulos , David S. Leslie

We consider fractional order optimal control problems in which the dynamic control system involves integer and fractional order derivatives and the terminal time is free. Necessary conditions for a state/control/terminal-time triplet to be…

Optimization and Control · Mathematics 2013-11-01 Shakoor Pooseh , Ricardo Almeida , Delfim F. M. Torres

An optimal control problem with a time-parameter is considered. The functional to be optimized includes the maximum over time-horizon reached by a function of the state variable, and so an $L^\infty$-term. In addition to the classical…

Optimization and Control · Mathematics 2018-11-01 Sébastien Court , Karl Kunisch , Laurent Pfeiffer

We develop a new policy gradient and actor-critic algorithm for solving mean-field control problems within a continuous time reinforcement learning setting. Our approach leverages a gradient-based representation of the value function,…

Machine Learning · Statistics 2023-09-11 Huyên Pham , Xavier Warin

In this paper, we consider the problem of deploying a robot from a specification given as a temporal logic statement about some properties satisfied by the regions of a large, partitioned environment. We assume that the robot has noisy…

Robotics · Computer Science 2012-02-24 Xu Chu Ding , Jing Wang , Morteza Lahijanian , Ioannis Ch. Paschalidis , Calin A. Belta

Actor-critic (AC) methods are widely used in reinforcement learning (RL) and benefit from the flexibility of using any policy gradient method as the actor and value-based method as the critic. The critic is usually trained by minimizing the…

Machine Learning · Computer Science 2023-11-01 Sharan Vaswani , Amirreza Kazemi , Reza Babanezhad , Nicolas Le Roux

Actor-Critic based approaches were among the first to address reinforcement learning in a general setting. Recently, these algorithms have gained renewed interest due to their generality, good convergence properties, and possible biological…

Machine Learning · Computer Science 2009-09-17 D. Di Castro , R. Meir

A self-learning approach for optimal feedback gains for finite-horizon nonlinear continuous time control systems is proposed and analysed. It relies on parameter dependent approximations to the optimal value function obtained from a family…

Optimization and Control · Mathematics 2023-02-28 Karl Kunisch , Daniel Walter

In reinforcement learning for partially observable environments, many successful algorithms have been developed within the asymmetric learning paradigm. This paradigm leverages additional state information available at training time for…

Machine Learning · Computer Science 2025-09-09 Gaspard Lambrechts , Damien Ernst , Aditya Mahajan
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