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We investigate reinforcement learning in the setting of Markov decision processes for a large number of exchangeable agents interacting in a mean field manner. Applications include, for example, the control of a large number of robots…

最优化与控制 · 数学 2025-04-30 René Carmona , Mathieu Laurière , Zongjun Tan

We study a multi-agent mean field type control problem in discrete time where the agents aim to find a socially optimal strategy and where the state and action spaces for the agents are assumed to be continuous. The agents are only weakly…

最优化与控制 · 数学 2025-04-01 Erhan Bayraktar , Nicole Bauerle , Ali Devran Kara

In this paper, we present a distributed model predictive control (DMPC) scheme for dynamically decoupled systems which are subject to state constraints, coupling state constraints and input constraints. In the proposed control scheme,…

系统与控制 · 电气工程与系统科学 2024-08-17 Adrian Wiltz , Fei Chen , Dimos V. Dimarogonas

Model predictive Path-Following Control (MPFC) is a viable option for motion systems in many application domains. However, despite considerable progress on tailored numerical methods for predictive control, the real-time implementation of…

系统与控制 · 电气工程与系统科学 2023-01-30 Pablo Zometa , Timm Faulwasser

To address the computational challenges of Model Predictive Control (MPC), recent research has studied using imitation learning to approximate MPC with a computationally efficient Deep Neural Network (DNN). However, this introduces a common…

系统与控制 · 电气工程与系统科学 2026-03-19 Seungtaek Kim , Jonghyup Lee , Kyoungseok Han , Seibum B. Choi

Mean-field control (MFC) problems aim to find the optimal policy to control massive populations of interacting agents. These problems are crucial in areas such as economics, physics, and biology. We consider the non-local setting, where the…

最优化与控制 · 数学 2024-05-20 Alexander Vidal , Samy Wu Fung , Stanley Osher , Luis Tenorio , Levon Nurbekyan

We study model-free policy learning for discrete-time mean-field control (MFC) problems with finite state space and compact action space. In contrast to the extensive literature on value-based methods for MFC, policy-based approaches remain…

最优化与控制 · 数学 2026-01-28 Matthieu Meunier , Huyên Pham , Christoph Reisinger

Model predictive control (MPC) is a de facto standard control algorithm across the process industries. There remain, however, applications where MPC is impractical because an optimization problem is solved at each time step. We present a…

最优化与控制 · 数学 2019-07-10 Robert J. Lovelett , Felix Dietrich , Seungjoon Lee , Ioannis G. Kevrekidis

This paper concerns state estimation problems in a mean field control setting. In a finite population model, the goal is to estimate the joint distribution of the population state and the state of a typical individual. The observation…

系统与控制 · 计算机科学 2016-11-17 Yue Chen , Ana Bušić , Sean Meyn

We propose a deep learning approach to compute mean field control problems with individual noises. The problem consists of the Fokker-Planck (FP) equation and the Hamilton-Jacobi-Bellman (HJB) equation. Using the differential of the…

最优化与控制 · 数学 2025-05-20 Mo Zhou , Stanley Osher , Wuchen Li

Methods like multi-agent reinforcement learning struggle to scale with growing population size. Mean-field games (MFGs) are a game-theoretic approach that can circumvent this by finding a solution for an abstract infinite population, which…

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

Translating machine learning algorithms into clinical applications requires addressing challenges related to interpretability, such as accounting for the effect of confounding variables (or metadata). Confounding variables affect the…

机器学习 · 计算机科学 2022-07-12 Anthony Vento , Qingyu Zhao , Robert Paul , Kilian M. Pohl , Ehsan Adeli

Learning-based congestion control (CC), including Reinforcement-Learning, promises efficient CC in a fast-changing networking landscape, where evolving communication technologies, applications and traffic workloads pose severe challenges to…

网络与互联网体系结构 · 计算机科学 2026-04-17 Mihai Mazilu , Luca Giacomoni , George Parisis

The multi-objective coverage control problem requires a robot swarm to collaboratively provide sensor coverage to multiple heterogeneous importance density fields IDFs simultaneously. We pose this as an optimization problem with constraints…

系统与控制 · 电气工程与系统科学 2025-03-14 Juan Cervino , Saurav Agarwal , Vijay Kumar , Alejandro Ribeiro

Sampling-based model predictive control (MPC) has found significant success in optimal control problems with non-smooth system dynamics and cost function. Many machine learning-based works proposed to improve MPC by a) learning or…

机器学习 · 计算机科学 2024-01-08 Sungwook Yang , Chaoying Pei , Ran Dai , Chuangchuang Sun

We study problem-dependent rates, i.e., generalization errors that scale near-optimally with the variance, the effective loss, or the gradient norms evaluated at the "best hypothesis." We introduce a principled framework dubbed "uniform…

机器学习 · 统计学 2020-12-25 Yunbei Xu , Assaf Zeevi

The expansion in automation of increasingly fast applications and low-power edge devices poses a particular challenge for optimization based control algorithms, like model predictive control. Our proposed machine-learning supported approach…

系统与控制 · 电气工程与系统科学 2025-01-08 Hendrik Alsmeier , Anton Savchenko , Rolf Findeisen

The goal of this paper is to analyze distributional Markov Decision Processes as a class of control problems in which the objective is to learn policies that steer the distribution of a cumulative reward toward a prescribed target law,…

最优化与控制 · 数学 2026-02-09 Nicole Bäuerle , Athanasios Vasileiadis

A supervised learning framework is proposed to approximate a model predictive controller (MPC) with reduced computational complexity and guarantees on stability and constraint satisfaction. The framework can be used for a wide class of…

系统与控制 · 计算机科学 2018-06-13 Michael Hertneck , Johannes Köhler , Sebastian Trimpe , Frank Allgöwer

We propose a novel approach to solving input- and state-constrained parametric mixed-integer optimal control problems using Differentiable Predictive Control (DPC). Our approach follows the differentiable programming paradigm by learning an…

系统与控制 · 电气工程与系统科学 2025-06-25 Ján Boldocký , Shahriar Dadras Javan , Martin Gulan , Martin Mönnigmann , Ján Drgoňa