Networks and Neural Networks

On March 22nd, our Head Prof. Enrique Zuazua will talk on “Networks and Neural Networks” at the Lumer Lectures series named after Gunter Lumer, a great mathematician with extensive achievements and a deep curiosity for applied functional analysis and operator theory, and is a joint scientific activity of all Action’s Working Groups, organized by the MAT-DYN-NET.

Abstract. Partial Differential Equations (PDEs) on networks is a ubiquitous topic in applications, from multi-link elastic structures to gas distribution. We will report on some recent results and open problems in the context of optimal location of sensors and actuators. On the other hand, at present Neural Networks (NN) are being systematically being employed as a complement to the traditional methods of Applied Mathematics, to bring our simulation and control capacities beyond. But the training of the parameters of these NNs leads naturally to new control problems. This generates a rich interface between Control Theory, Machine Learning and PDEs on Networks, that we will briefly survey on.

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