[Dottorcomp] Seminari di Matematica Applicata. Martedì 28 giugno. Alessandro Scagliotti.

[Stefano Lisini]

Seminari di Matematica Applicata, Dipartimento di Matematica "F. Casorati"
e Istituto del CNR IMATI "E. Magenes" di Pavia.

Martedì 28 giugno 2022, alle ore 15.00 precise, presso l'aula Beltrami del
Dipartimento di Matematica,

Alessandro Scagliotti (SISSA Trieste)terrà un seminario dal titolo:

Ensemble optimal control: ResNets, diffeomorphisms approximation and
Normalizing Flows

Il seminario verrà anche trasmesso in diretta su zoom al link

https://us02web.zoom.us/j/87518137128?pwd=eHg2eG9QZUdydFJEU1NESWN5a1lPQT09

ID riunione: 875 1813 7128
Passcode: 880047

Abstract.
In recent years it has been observed that Residual Neural Networks
(ResNets) can be interpreted as discretizations of control systems,
bridging ResNets (and, more generally, Deep Learning) with Control Theory.
In the first part of this seminar we formulate the task of a data-driven
reconstruction of a diffeomorphism as an ensemble optimal control problem.
In the second part we adapt this machinery to address the problem of
Normalizing Flows: after observing some samplings of an unknown probability
measure, we want to (approximately) construct a transport map that brings a
“simple” distribution (e.g., a Gaussian) onto the unknown target
distribution. In both the problems we use tools from Gamma-convergence to
study the limiting case when the size of the data-set tends to infinity.
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Pagina web dei Seminari di Matematica Applicata
https://matematica.unipv.it/ricerca/cicli-di-seminari/seminari-di-matematica-applicata/
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