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Multi-agent reinforcement learning methods have shown remarkable potential in solving complex multi-agent problems but mostly lack theoretical guarantees. Recently, mean field control and mean field games have been established as a…

机器学习 · 计算机科学 2021-12-20 Kai Cui , Anam Tahir , Mark Sinzger , Heinz Koeppl

Mean field control (MFC) problems have vast applications in artificial intelligence, engineering, and economics, while solving MFC problems accurately and efficiently in high-dimensional spaces remains challenging. This work introduces…

最优化与控制 · 数学 2025-03-26 Jiaxi Zhao , Mo Zhou , Xinzhe Zuo , Wuchen Li

We consider a general class of mean field control problems described by stochastic delayed differential equations of McKean-Vlasov type. Two numerical algorithms are provided based on deep learning techniques, one is to directly…

最优化与控制 · 数学 2019-10-10 Jean-Pierre Fouque , Zhaoyu Zhang

This paper investigates the control of a massive population of UAVs such as drones. The straightforward method of control of UAVs by considering the interactions among them to make a flock requires a huge inter-UAV communication which is…

网络与互联网体系结构 · 计算机科学 2020-08-13 Hamid Shiri , Jihong Park , Mehdi Bennis

A mean-field selective optimal control problem of multipopulation dynamics via transient leadership is considered. The agents in the system are described by their spatial position and their probability of belonging to a certain population.…

最优化与控制 · 数学 2021-06-15 Giacomo Albi , Stefano Almi , Marco Morandotti , Francesco Solombrino

Model predictive control (MPC) is a popular approach for trajectory optimization in practical robotics applications. MPC policies can optimize trajectory parameters under kinodynamic and safety constraints and provide guarantees on safety,…

机器人学 · 计算机科学 2023-06-08 Returaj Burnwal , Anirban Santara , Nirav P. Bhatt , Balaraman Ravindran , Gaurav Aggarwal

This work studies how to estimate the mean-field density of large-scale systems in a distributed manner. Such problems are motivated by the recent swarm control technique that uses mean-field approximations to represent the collective…

系统与控制 · 电气工程与系统科学 2021-12-21 Tongjia Zheng , Qing Han , Hai Lin

Model predictive control (MPC) is an effective method for controlling robotic systems, particularly autonomous aerial vehicles such as quadcopters. However, application of MPC can be computationally demanding, and typically requires…

机器学习 · 计算机科学 2016-02-17 Tianhao Zhang , Gregory Kahn , Sergey Levine , Pieter Abbeel

In this paper, we introduce a new class of parameterized controllers, drawing inspiration from Model Predictive Control (MPC). The controller resembles a Quadratic Programming (QP) solver of a linear MPC problem, with the parameters of the…

系统与控制 · 电气工程与系统科学 2024-04-10 Yiwen Lu , Zishuo Li , Yihan Zhou , Na Li , Yilin Mo

Disorder in condensed matter and atomic physics is responsible for a great variety of fascinating quantum phenomena, which are still challenging for understanding, not to mention the relevant dynamical control. Here we introduce proof of…

无序系统与神经网络 · 物理学 2022-03-01 Tang-You Huang , Yue Ban , E. Ya. Sherman , Xi Chen

The combination of policy search and deep neural networks holds the promise of automating a variety of decision-making tasks. Model Predictive Control (MPC) provides robust solutions to robot control tasks by making use of a dynamical model…

机器人学 · 计算机科学 2021-05-11 Yunlong Song , Davide Scaramuzza

Mean field games (MFG) and mean field control problems (MFC) are frameworks to study Nash equilibria or social optima in games with a continuum of agents. These problems can be used to approximate competitive or cooperative games with a…

最优化与控制 · 数学 2021-06-28 Andrea Angiuli , Jean-Pierre Fouque , Mathieu Lauriere

In this paper, we propose a novel framework for approximating the explicit MPC law for linear parameter-varying systems using supervised learning. In contrast to most existing approaches, we not only learn the control policy, but also a…

机器学习 · 计算机科学 2019-06-21 Xiaojing Zhang , Monimoy Bujarbaruah , Francesco Borrelli

In this paper we consider a mean field optimal control problem with an aggregation-diffusion constraint, where agents interact through a potential, in the presence of a Gaussian noise term. Our analysis focuses on a PDE system coupling a…

偏微分方程分析 · 数学 2019-09-25 Jose A. Carrillo , Edgard A. Pimentel , Vardan K. Voskanyan

Our research is focused on two main applications of crowd scene analysis crowd counting and anomaly detection In recent years a large number of researches have been presented in the domain of crowd counting We addressed two main challenges…

计算机视觉与模式识别 · 计算机科学 2025-06-05 Muhammad Junaid Asif

This paper studies a class of time-inconsistent mean field control (MFC) problems in the presence of common noise under non-exponential discount and joint law dependence of both state and control. We investigate the closed-loop…

最优化与控制 · 数学 2025-05-06 Zongxia Liang , Xiang Yu , Keyu Zhang

Recent algorithms allow decentralised agents, possibly connected via a communication network, to learn equilibria in mean-field games from a non-episodic run of the empirical system. However, these algorithms are for tabular settings: this…

多智能体系统 · 计算机科学 2025-12-23 Patrick Benjamin , Alessandro Abate

In this paper the optimal control of alignment models composed by a large number of agents is investigated in presence of a selective action of a controller, acting in order to enhance consensus. Two types of selective controls have been…

最优化与控制 · 数学 2016-10-06 Giacomo Albi , Lorenzo Pareschi

Deep Model Predictive Control (Deep MPC) is an evolving field that integrates model predictive control and deep learning. This manuscript is focused on a particular approach, which employs deep neural network in the loop with MPC. This…

系统与控制 · 电气工程与系统科学 2025-11-24 Prabhat K. Mishra , Mateus V. Gasparino , Girish Chowdhary

The main challenge in controlling hybrid systems arises from having to consider an exponential number of sequences of future modes to make good long-term decisions. Model predictive control (MPC) computes a control action through a…

最优化与控制 · 数学 2021-06-09 Sandeep Menta , Joseph Warrington , John Lygeros , Manfred Morari