FGS 2024 French-German-Spanish Conference on Optimization 2024

On June 2024 Prof. Enrique Zuazua will talk at the FGS Conference on Optimization 2024 on its 21st edition of the series of French-German conferences which initiated in Oberwolfach, Germany, in 1980. This year it is organized by the Department of Mathematics at University of Oviedo on June 18-21, 2024 in Oviedo, Spain.

Abstract. In this lecture we shall present some recent results of our group on the interplay between control and Machine Learning, and more precisely, Supervised Learning and Universal Approximation.

We adopt the perspective of the simultaneous or ensemble control of systems of Residual Neural Networks (ResNets). Roughly, each item to be classified corresponds to a different initial datum for the Cauchy problem of the ResNets, leading to an ensemble of solutions to be driven to the corresponding targets, associated to the labels, by means of the same control.

We present a genuinely nonlinear and constructive method, allowing to show that such an ambitious goal can be achieved, estimating the complexity of the control strategies.

This property is rarely fulfilled by the classical dynamical systems in Mechanics and the very nonlinear nature of the activation function governing the ResNet dynamics plays a determinant role. It allows deforming half of the phase space while the other half remains invariant, a property that classical models in mechanics do not fulfill.

This viewpoint opens up interesting perspectives to develop new hybrid mechanics-data driven modelling methodologies. We shall discuss a number of promising open problems.

Program/schedule TBA.

WHEN
June 18-21, 2024

Deadline to send applications: February 14, 2024.

WHERE
On-site / Online

[On-site] Department of Mathematics. University of Oviedo.
Campus Gijón. 33203 Gijón, Spain

[Online] Via Teams (link TBA)

Contact at fgs2024[at]uniovi.es

Check the official page of the event

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Date

Tue. - Fri. Jun 18 - 21, 2024

Time

08:00 - 18:00

Speaker