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20212025
most citedModel predictive control strategies using consensus-based optimization

1 citations · 1 across the 13 of their papers we have counts for

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math.OC2024

Fast and robust consensus-based optimization via optimal feedback control

Yuyang Huang, Michael Herty, Dante Kalise +1

We propose a variant of consensus-based optimization (CBO) algorithms, controlled-CBO, which introduces a feedback control term to improve convergence towards global minimizers of…

math.OC2024

Kinetic models for optimization: a unified mathematical framework for metaheuristics

Giacomo Borghi, Michael Herty, Lorenzo Pareschi

Metaheuristic algorithms, widely used for solving complex non-convex and non-differentiable optimization problems, often lack a solid mathematical foundation. In this review, we ex…

math.OC2024

Exponential turnpike property for particle systems and mean-field limit

Michael Herty, Yizhou Zhou

This work is concerned with the exponential turnpike property for optimal control problems of particle systems and their mean-field limit. Under the assumption of the strict dissip…

math.OC2024

Kinetic Theories for Metropolis Monte Carlo Methods

Michael Herty, Christian Ringhofer

We consider generalizations of the classical inverse problem to Bayesien type estimators, where the result is not one optimal parameter but an optimal probability distribution in p…

math.OC2024

The turnpike property for high-dimensional interacting agent systems in discrete time

Martin Gugat, Michael Herty, Jiehong Liu +1

We investigate the interior turnpike phenomenon for discrete-time multi-agent optimal control problems. While for continuous systems the turnpike property has been established, we…

math.OC2024

Controllability of continuous networks and a kernel-based learning approximation

Michael Herty, Chiara Segala, Giuseppe Visconti

Residual deep neural networks are formulated as interacting particle systems leading to a description through neural differential equations, and, in the case of large input data, t…

math.OC2024

Data/moment-driven approaches for fast predictive control of collective dynamics

Giacomo Albi, Sara Bicego, Michael Herty +3

Feedback control synthesis for large-scale particle systems is reviewed in the framework of model predictive control (MPC). The high-dimensional character of collective dynamics ha…