[CvGmt News] [Notiziario] [Settimanale] avviso seminario di Matematica prof. Vladimir Druskin (21.03.2019)

Valeria Giuliani valeria.giuliani at sns.it
Thu Mar 14 09:44:10 CET 2019


SEMINARIO DI MATEMATICA



*Giovedì 21 marzo 2019*

ore 15:00



*Scuola Normale Superiore*

Pisa

Aula Mancini



*Vladimir Druskin *
(Worcester Polytechnic Institute)



Terrà un seminario dal titolo:

*“Embedding properties of network realizations of reduced order models with
applications to inverse scattering and data science**”*



*Abstract:*

Continued fractions are known since antiquity as the most compact
representations of numbers. At the end of the 19th century Stieltjes connected
them with physics. This connection gave rise to network syntheses in the
first half of the 20th century that was at the base of modern electronics
design and consecutively to model order reduction (MOR) that tremendously
impacted many areas of engineering by enabling efficient compression of the
underlining dynamical systems. In his seminal 1950s works, Krein realized
that in addition to their compressing properties, Stieltjes continued
fractions can be used to embed the data back into the state space of the
underlying dynamical system via special mechanical networks known as
Stieltjes strings. Such networks can  learn the underlying PDE system from
the data (transfer function) via rigorously chosen hyper-parameters. Among
many application of this powerful

approach we discuss the following two:

1. Imaging in   strongly scattering media with waves (e.g.,seismic
exploration) via data-driven MOR.
2. Reduced order graph-Laplacians and efficient cluster analysis of big
data sets.



Tutti gli interessati sono invitati a partecipare.



Classe di Scienze


Valeria Giuliani
Scuola Normale Superiore
Servizio alla Didattica e Allievi
tel. 050 509260
Piazza dei Cavalieri, 7
56126 Pisa
E-mail: valeria.giuliani at sns.it
E-mail: classi at sns.it

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