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In this paper, we formulate a general time-inconsistent stochastic linear--quadratic (LQ) control problem. The time-inconsistency arises from the presence of a quadratic term of the expected state as well as a state-dependent term in the…

Optimization and Control · Mathematics 2011-11-04 Ying Hu , Hanqing Jin , Xun Yu Zhou

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

Quantum computing has a superior advantage in tackling specific problems, such as integer factorization and Simon's problem. For more general tasks in machine learning, by applying variational quantum circuits, more and more quantum…

Quantum Physics · Physics 2021-12-23 Qingfeng Lan

We study a multi-agent reinforcement learning dynamics, and analyze its asymptotic behavior in infinite-horizon discounted Markov potential games. We focus on the independent and decentralized setting, where players do not know the game…

Machine Learning · Computer Science 2025-04-02 Chinmay Maheshwari , Manxi Wu , Druv Pai , Shankar Sastry

This study presents a benchmark for evaluating action-constrained reinforcement learning (RL) algorithms. In action-constrained RL, each action taken by the learning system must comply with certain constraints. These constraints are crucial…

Machine Learning · Computer Science 2023-06-30 Kazumi Kasaura , Shuwa Miura , Tadashi Kozuno , Ryo Yonetani , Kenta Hoshino , Yohei Hosoe

This paper proposes and analyzes two new policy learning methods: regularized policy gradient (RPG) and iterative policy optimization (IPO), for a class of discounted linear-quadratic control (LQC) problems over an infinite time horizon…

Optimization and Control · Mathematics 2025-10-08 Xin Guo , Xinyu Li , Renyuan Xu

This work uses the entropy-regularised relaxed stochastic control perspective as a principled framework for designing reinforcement learning (RL) algorithms. Herein agent interacts with the environment by generating noisy controls…

Machine Learning · Computer Science 2023-09-18 Lukasz Szpruch , Tanut Treetanthiploet , Yufei Zhang

As an important algorithm in deep reinforcement learning, advantage actor critic (A2C) has been widely succeeded in both discrete and continuous control tasks with raw pixel inputs, but its sample efficiency still needs to improve more. In…

Machine Learning · Computer Science 2022-02-15 Yuan Wang , Chunyuan Zhang , Tianzong Yu , Meng Ma

Flow $Q$-learning has recently been introduced to integrate learning from expert demonstrations into an actor-critic structure. Central to this innovation is the ``the one-step policy'' network, which is optimized through a $Q$-function…

Systems and Control · Electrical Eng. & Systems 2025-11-17 Farnaz Adib Yaghmaie , Arunava Naha

In this paper, we study the problem of reinforcement learning in multi-agent systems where communication among agents is limited. We develop a decentralized actor-critic learning framework in which each agent performs several local updates…

Machine Learning · Computer Science 2025-10-23 Xiaoxing Ren , Nicola Bastianello , Thomas Parisini , Andreas A. Malikopoulos

Warm-Start reinforcement learning (RL), aided by a prior policy obtained from offline training, is emerging as a promising RL approach for practical applications. Recent empirical studies have demonstrated that the performance of Warm-Start…

Machine Learning · Computer Science 2023-06-21 Hang Wang , Sen Lin , Junshan Zhang

Robust model predictive control (MPC) is a well-known control technique for model-based control with constraints and uncertainties. In classic robust tube-based MPC approaches, an open-loop control sequence is computed via periodically…

Systems and Control · Electrical Eng. & Systems 2022-06-13 Xinglong Zhang , Jiahang Liu , Xin Xu , Shuyou Yu , Hong Chen

Reinforcement learning has been explored for many problems, from video games with deterministic environments to portfolio and operations management in which scenarios are stochastic; however, there have been few attempts to test these…

General Finance · Quantitative Finance 2024-02-19 Sherly Alfonso-Sánchez , Jesús Solano , Alejandro Correa-Bahnsen , Kristina P. Sendova , Cristián Bravo

We introduce the lookahead-bounded Q-learning (LBQL) algorithm, a new, provably convergent variant of Q-learning that seeks to improve the performance of standard Q-learning in stochastic environments through the use of ``lookahead'' upper…

Machine Learning · Computer Science 2020-06-30 Ibrahim El Shar , Daniel R. Jiang

Deep Actor-Critic algorithms, which combine Actor-Critic with deep neural network (DNN), have been among the most prevalent reinforcement learning algorithms for decision-making problems in simulated environments. However, the existing deep…

Machine Learning · Computer Science 2024-09-19 Kexuan Wang , An Liu , Baishuo Lin

Deep reinforcement learning (RL) algorithms can use high-capacity deep networks to learn directly from image observations. However, these high-dimensional observation spaces present a number of challenges in practice, since the policy must…

Machine Learning · Computer Science 2020-10-27 Alex X. Lee , Anusha Nagabandi , Pieter Abbeel , Sergey Levine

Reinforcement Learning (RL) is a powerful method for controlling dynamic systems, but its learning mechanism can lead to unpredictable actions that undermine the safety of critical systems. Here, we propose RL with Adaptive Regularization…

Machine Learning · Computer Science 2024-11-01 Haozhe Tian , Homayoun Hamedmoghadam , Robert Shorten , Pietro Ferraro

Distributional reinforcement learning (DRL) enhances the understanding of the effects of the randomness in the environment by letting agents learn the distribution of a random return, rather than its expected value as in standard RL. At the…

Optimization and Control · Mathematics 2023-03-27 Zifan Wang , Yulong Gao , Siyi Wang , Michael M. Zavlanos , Alessandro Abate , Karl H. Johansson

The linear quadratic regulator problem is central in optimal control and was investigated since the very beginning of control theory. Nevertheless, when it includes affine state constraints, it remains very challenging from the classical…

Optimization and Control · Mathematics 2021-03-30 Pierre-Cyril Aubin-Frankowski

We consider the problem of online learning in Linear Quadratic Control systems whose state transition and state-action transition matrices $A$ and $B$ may be initially unknown. We devise an online learning algorithm and provide guarantees…

Machine Learning · Computer Science 2021-09-30 Yassir Jedra , Alexandre Proutiere
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