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The average-reward formulation of reinforcement learning (RL) has drawn increased interest in recent years for its ability to solve temporally-extended problems without relying on discounting. Meanwhile, in the discounted setting,…

Machine Learning · Computer Science 2025-08-06 Jacob Adamczyk , Volodymyr Makarenko , Stas Tiomkin , Rahul V. Kulkarni

Control of continuous time dynamics with multiplicative noise is a classic topic in stochastic optimal control. This work addresses the problem of designing infinite horizon optimal controls with stability guarantees for \textit{a single…

Optimization and Control · Mathematics 2020-10-02 Kaivalya Bakshi , Evangelos A. Theodorou , Piyush Grover

Actor-critic methods have achieved state-of-the-art performance in various challenging tasks. However, theoretical understandings of their performance remain elusive and challenging. Existing studies mostly focus on practically uncommon…

Machine Learning · Computer Science 2025-05-09 Xuyang Chen , Jingliang Duan , Lin Zhao

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

This paper proposes a reinforcement learning (RL)-based backstepping control strategy to achieve fixed time consensus in nonlinear multi-agent systems with strict feedback dynamics. Agents exchange only output information with their…

Systems and Control · Electrical Eng. & Systems 2025-07-23 Aria Delshad , Maryam Babazadeh

Westudy how a planner can design dynamic interventions to overcome status-quo inertia in living temporal games, where strategic agents control their state (active, sleep, partially dead) on a temporal network. Building on the…

Theoretical Economics · Economics 2026-05-20 Madjid Eshaghi Gordji , Ali Jabbari , Mohammad Ali Berahman , Esmaiel Abounoori

The paper [12] examines a concept of equilibrium policies instead of optimal controls in stochastic optimization to analyze a mean-variance portfolio selection problem. We follow the same approach in order to investigate the Merton…

Optimization and Control · Mathematics 2020-04-23 I. Alia , F. Chighoub , N. Khelfallah , J. Vives

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

Reinforcement learning (RL) has achieved significant success across a wide range of domains, however, most existing methods are formulated in discrete time. In this work, we introduce a novel RL method for continuous-time control, where…

Machine Learning · Computer Science 2025-10-21 Chengxiu Hua , Jiawen Gu , Yushun Tang

In this work, we focus on an infinite horizon mean-field linear-quadratic stochastic control problem with jumps. Firstly, the infinite horizon linear mean-field stochastic differential equations and backward stochastic differential…

Optimization and Control · Mathematics 2023-11-14 Qingmeng Wei , Yaqi Xu , Zhiyong Yu

This paper is devoted to studying an infinite time horizon stochastic recursive control problem with jumps, where infinite time horizon stochastic differential equation and backward stochastic differential equation with jumps describe the…

Optimization and Control · Mathematics 2024-08-15 Sheng Luo , Xun Li , Qingmeng Wei

While deep reinforcement learning has achieved tremendous successes in various applications, most existing works only focus on maximizing the expected value of total return and thus ignore its inherent stochasticity. Such stochasticity is…

Machine Learning · Computer Science 2023-09-19 Han Zhong , Xun Deng , Ethan X. Fang , Zhuoran Yang , Zhaoran Wang , Runze Li

Expressive generative policies such as diffusion and flow models are appealing for MaxEnt online reinforcement learning because of their ability to model multimodal and highly non-Gaussian action distributions. However, training effective…

Machine Learning · Computer Science 2026-05-12 Ke He , Le He , Shunpu Tang , Yafei Wang , Lisheng Fan

Diffusion policies have demonstrated exceptional performance in embodied AI. However, their iterative denoising process results in high latency, and existing acceleration methods often sacrifice physical consistency. To address this, we…

Robotics · Computer Science 2026-05-12 Kewei Chen , Yayu Long , Shuai Li , Mingsheng Shang

This paper develops a hierarchical games-in-games control architecture for hybrid stochastic systems governed by regime-switching jump-diffusions. We model the interplay between continuous state dynamics and discrete mode transitions as a…

Systems and Control · Electrical Eng. & Systems 2025-12-23 Yunian Pan , Quanyan Zhu

We consider policy gradient methods for stochastic optimal control problem in continuous time. In particular, we analyze the gradient flow for the control, viewed as a continuous time limit of the policy gradient method. We prove the global…

Optimization and Control · Mathematics 2025-04-15 Mo Zhou , Jianfeng Lu

Despite the popularity of the actor-critic method and the practical needs of collaborative policy training, existing works typically either overlook environmental heterogeneity or give up personalization altogether by training a single…

Machine Learning · Computer Science 2026-05-15 Leo Muxing Wang , Pengkun Yang , Lili Su

This paper is concerned with a class of linear-quadratic stochastic large-population problems with partial information, where the individual agent only has access to a noisy observation process related to the state. The dynamics of each…

Optimization and Control · Mathematics 2024-08-20 Min Li , Na Li , Zhen Wu

We consider the dynamic multichannel access problem, which can be formulated as a partially observable Markov decision process (POMDP). We first propose a model-free actor-critic deep reinforcement learning based framework to explore the…

Information Theory · Computer Science 2018-10-10 Chen Zhong , Ziyang Lu , M. Cenk Gursoy , Senem Velipasalar

The option framework has shown great promise by automatically extracting temporally-extended sub-tasks from a long-horizon task. Methods have been proposed for concurrently learning low-level intra-option policies and high-level option…

Artificial Intelligence · Computer Science 2020-06-26 Chenghao Li , Xiaoteng Ma , Chongjie Zhang , Jun Yang , Li Xia , Qianchuan Zhao