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This paper employs a policy iteration reinforcement learning (RL) method to study continuous-time linear-quadratic mean-field control problems in infinite horizon. The drift and diffusion terms in the dynamics involve the states, the…

最优化与控制 · 数学 2024-11-05 Na Li , Xun Li , Zuo Quan Xu

There is a growing interest in Multi-Agent Reinforcement Learning (MARL) as the first steps towards building general intelligent agents that learn to make low and high-level decisions in non-stationary complex environments in the presence…

人工智能 · 计算机科学 2020-01-01 Marco Jerome Gasparrini , Ricard Solé , Martí Sánchez-Fibla

The dynamical formulation of the optimal transport can be extended through various choices of the underlying geometry (kinetic energy), and the regularization of density paths (potential energy). These combinations yield different…

机器学习 · 计算机科学 2024-07-04 Kirill Neklyudov , Rob Brekelmans , Alexander Tong , Lazar Atanackovic , Qiang Liu , Alireza Makhzani

Deep Reinforcement Learning (DRL) has become a popular method for solving control problems in power systems. Conventional DRL encourages the agent to explore various policies encoded in a neural network (NN) with the goal of maximizing the…

系统与控制 · 电气工程与系统科学 2024-10-28 Tong Wu , Anna Scaglione , Daniel Arnold

Reinforcement learning (RL) algorithms are designed to optimize problem-solving by learning actions that maximize rewards, a task that becomes particularly challenging in random and nonstationary environments. Even advanced RL algorithms…

机器学习 · 计算机科学 2025-10-31 Sebastian Zieglmeier , Niklas Erdmann , Narada D. Warakagoda

Reinforcement learning (RL) is a promising tool to solve robust optimal well control problems where the model parameters are highly uncertain, and the system is partially observable in practice. However, RL of robust control policies often…

机器学习 · 计算机科学 2022-07-14 Atish Dixit , Ahmed H. ElSheikh

Preventing collisions in multi-robot navigation is crucial for deployment. This requirement hinders the use of learning-based approaches, such as multi-agent reinforcement learning (MARL), on their own due to their lack of safety…

This paper describes the problem of coordination of an autonomous Multi-Agent System which aims to solve the coverage planning problem in a complex environment. The considered applications are the detection and identification of objects of…

机器人学 · 计算机科学 2025-02-11 Antoine Vivien , Thomas Chaffre , Matthew Stephenson , Eva Artusi , Paulo Santos , Benoit Clement , Karl Sammut

Autonomous agents must often deal with conflicting requirements, such as completing tasks using the least amount of time/energy, learning multiple tasks, or dealing with multiple opponents. In the context of reinforcement learning~(RL),…

机器学习 · 计算机科学 2019-10-30 Santiago Paternain , Luiz F. O. Chamon , Miguel Calvo-Fullana , Alejandro Ribeiro

Multi-objective reinforcement learning (MORL) algorithms extend conventional reinforcement learning (RL) to the more general case of problems with multiple, conflicting objectives, represented by vector-valued rewards. Widely-used scalar RL…

机器学习 · 计算机科学 2026-04-23 Peter Vamplew , Ethan , Watkins , Cameron Foale , Richard Dazeley

The continuous nonlinear resource allocation problem (CONRAP) has broad applications in economics, engineering, production and inventory management, and often serves as a subproblem in complex programming. Without relying on monotonicity…

最优化与控制 · 数学 2025-01-10 Kaixiang Hu , Caixia Kou , Jianhua Yuan

Hard constraints in reinforcement learning (RL) often degrade policy performance. Lagrangian methods offer a way to blend objectives with constraints, but require intricate reward engineering and parameter tuning. In this work, we extend…

人工智能 · 计算机科学 2025-12-05 William Sharpless , Dylan Hirsch , Sander Tonkens , Nikhil Shinde , Sylvia Herbert

Autonomous marine environmental monitoring problem traditionally encompasses an area coverage problem which can only be effectively carried out by a multi-robot system. In this paper, we focus on robotic swarms that are typically operated…

机器人学 · 计算机科学 2022-07-19 Maryam Kouzehgar , Malika Meghjani , Roland Bouffanais

The Lattice Boltzmann method (LBM) offers a powerful and versatile approach to simulating diverse hydrodynamic phenomena, spanning microfluidics to aerodynamics. The vast range of spatiotemporal scales inherent in these systems currently…

流体动力学 · 物理学 2025-04-22 Paul Fischer , Sebastian Kaltenbach , Sergey Litvinov , Sauro Succi , Petros Koumoutsakos

A major challenge of reinforcement learning (RL) in real-world applications is the variation between environments, tasks or clients. Meta-RL (MRL) addresses this issue by learning a meta-policy that adapts to new tasks. Standard MRL methods…

机器学习 · 计算机科学 2023-10-03 Ido Greenberg , Shie Mannor , Gal Chechik , Eli Meirom

Reinforcement learning (RL) with combinatorial action spaces remains challenging because feasible action sets are exponentially large and governed by complex feasibility constraints, making direct policy parameterization impractical.…

Optimization problems characterized by both discrete and continuous variables are common across various disciplines, presenting unique challenges due to their complex solution landscapes and the difficulty of navigating mixed-variable…

最优化与控制 · 数学 2024-06-03 Haoyan Zhai , Qianli Hu , Jiangning Chen

Despite the success of single-agent reinforcement learning, multi-agent reinforcement learning (MARL) remains challenging due to complex interactions between agents. Motivated by decentralized applications such as sensor networks, swarm…

机器学习 · 计算机科学 2019-01-10 Hoi-To Wai , Zhuoran Yang , Zhaoran Wang , Mingyi Hong

Lagrangian methods are widely used algorithms for constrained optimization problems, but their learning dynamics exhibit oscillations and overshoot which, when applied to safe reinforcement learning, leads to constraint-violating behavior…

最优化与控制 · 数学 2020-07-09 Adam Stooke , Joshua Achiam , Pieter Abbeel

In this work we introduce reinforcement learning techniques for solving lexicographic multi-objective problems. These are problems that involve multiple reward signals, and where the goal is to learn a policy that maximises the first reward…

机器学习 · 计算机科学 2022-12-29 Joar Skalse , Lewis Hammond , Charlie Griffin , Alessandro Abate