ingleseENG
Direttore Vicario: Prof. Gabriele Grillo
Responsabile Gestionale: Dr.ssa Franca Di Censo


News

22/12/2016


08/11/2016



November 14th - November 18th 2016

21/10/2016



ENI AWARD 2016 AD ALESSANDRA MENAFOGLIO DEL POLITECNICO DI MILANO
 more

19/10/2016


05/10/2016


05/10/2016


22/09/2016


08/09/2016



SIMAI 2016
Politecnico di Milano - September 13, 2016 – September 16, 2016

08/09/2016



Il MOX a RIO2016
Due dei quattro atleti presenti alle Olimpiadi di Rio 2016 hanno svolto la loro tesi al MOX.
 more

07/07/2016



Eni Award Winners Announced
Alessandra Menafoglio ha vinto il Premio Debutto nella Ricerca, Eni Award 2016.
 more

22/04/2016



Seminari di Cultura Matematica
27 aprile 2016 Ore 12:15 Aula Consiglio del Dipartimento di Matematica Ed. 14 (Nave) Settimo Piano

08/04/2016



Seminari di Cultura Matematica
ore 12:15 – Aula B21, ed. 14 (Nave), Campus Bonardi, via Bonardi 9, Milano

05/04/2016



Seminari di Cultura Matematica
ore 12.15 – aula B21 - Ed.14 Campus Bonardi

15/03/2016



The 2015 SIMAI prize has been awarded to Paola Antonietti
 more

10/03/2016



Christian Vergara winner of the prize Gian Giacomo Drago e Fausta Rivera Drago
 more

08/03/2016



Aperta la strada allo sviluppo di nuovi farmaci antitumorali
Il lavoro di Pasquale Ciarletta e Chiara Giverso, del Laboratorio MOX, pubblicato su Nature Scientific Reports
 more

07/03/2016



Andrea Bonarini (Politecnico di Milano)
Mercoledì 16 marzo ore 11:15 – Aula Rogers, via Ampère 2, Milano

04/03/2016



Presentazione del Corso di Ingegneria Matematica

01/03/2016



Diderot Mathematical Forum 2016
Biomedical Applications of Mathematics (Paris, Madrid, Milan). March 15, 2016

18/02/2016



A cura di Renato Betti e Giulio Magli
 more

11/02/2016



Workshop on Semi-implicit and semi-Lagrangian methods for hyperbolic problems
MOX-Dipartimento di Matematica Politecnico di Milano, Sala Consiglio del Dipartimento di Matematica, Edificio 14 'La Nave', 1-2 Marzo 2016

11/02/2016



Fabio Peri - Più veloci della luce! Viaggi nel tempo, teletrasporto, motore a curvatura
17 febbraio 2016 ore 15.00 – Aula Consiglio, 7° piano, edificio 14 Nave – Via Bonardi, 9 – Milano

22/01/2016



Advances in Decision Making
February 3-4, 2016

07/01/2016



Marcella Lorenzi
Arte e Scienza: spazio, tempo, movimento e quarta dimensione tra futurismo e fotografia digitale

 Dicono di noi...

Prossimi Eventi

  • lug 16 gio 2020

    MOX Colloquia
    Gitta Kutyniok, Deep learning meets parametric partial differential equations,  16-07-2020, ore 14:00
    logo matematica
    MOX
    MOX Numeth

    • MOX Colloquia
    • Gitta Kutyniok
    • Institute of Mathematics, Technische Universität Berlin (DE)
    • Deep learning meets parametric partial differential equations
    • Giovedì 16 luglio 2020 alle ore 14:00
    • Online seminar: https://mox.polimi.it/elenco-seminari/?id_evento=1977&t=763724
    • Abstract
      High-dimensional parametric partial differential equations (PDEs) appear in various contexts including control and optimization problems, inverse problems, risk assessment, and uncertainty quantification. In most such scenarios the set of all admissible solutions associated with the parameter space is inherently low dimensional. This fact forms the foundation for the reduced basis method.
      Recently, numerical experiments demonstrated the remarkable efficiency of using deep neural networks to solve parametric problems. In this talk, after an introduction into deep learning, we will present a theoretical justification for this class of approaches. More precisely, we will derive upper bounds on the complexity of ReLU neural networks approximating the solution maps of parametric PDEs. In fact, without any knowledge of its concrete shape, we use the inherent low-dimensionality of the solution manifold to obtain approximation rates which are significantly superior to those provided by classical approximation results. We use this low-dimensionality to guarantee the existence of a reduced basis. Then, for a large variety of parametric PDEs, we construct neural networks that yield approximations of the parametric maps not suffering from a curse of dimensionality and essentially only depending on the size of the reduced basis.
      Finally, we present a comprehensive numerical study of the effect of approximation-theoretical results for neural networks on practical learning problems in the context of parametric partial differential equations. These experiments strongly support the hypothesis that approximation-theoretical effects heavily influence the practical behavior of learning problems in numerical analysis.
    • Gitta Kutyniok
      Gitta Kutyniok currently holds an Einstein Chair in the Institute of Mathematics at the Technische Universität Berlin, a courtesy appointment in the Department of Computer Science and Engineering, an Adjunct Professorship in Machine Learning at the University of Tromso, and is also the head of the Applied Functional Analysis Group. She received her Diploma in Mathematics and Computer Science as well as her Ph.D. degree from the Universität Paderborn in Germany, and her Habilitation in Mathematics in 2006 at the Justus-Liebig Universität Gießen. From 2001 to 2008 she held visiting positions at several US institutions, including Princeton University, Stanford University, Yale University, Georgia Institute of Technology, and Washington University in St. Louis. In 2008, she became a full professor of mathematics at the Universität Osnabrück, and moved to Berlin three years later.
      She received various awards for her research such as an award from the Universität Paderborn in 2003, the Research Prize of Gießen and a Heisenberg-Fellowship in 2006, the von Kaven Prize by the DFG in 2007, and an Einstein Chair in 2008. She gave the Noether Lecture at the ÖMG-DMV Congress in 2013 and the Hans Schneider ILAS Lecture at IWOTA in 2016. She also became a member of the Berlin-Brandenburg Academy of Sciences and Humanities in 2017, a SIAM Fellow in 2019, and an IEEE Senior Member in the same year.
      She was Chair of the SIAM Activity Group on Imaging Sciences from 2018-2019 and is Co-Chair of the first SIAM conference on Mathematics of Data Science taking place this year. She is also, for instance, Scientific Director of the graduate school BIMoS at TU Berlin and Chair of the GAMM Activity Groups on Mathematical Signal- and Image Processing and Computational and Mathematical Methods in Data Science, as well as of the MATH+ Activity Group on Mathematics of Data Science. Her main research interests are in the areas of applied harmonic analysis, compressed sensing, high-dimensional data analysis, imaging science, inverse problems, machine learning, numerical mathematics, partial differential equations, and applications to life sciences and telecommunication.
    • Politecnico di Milano, Dipartimento di Matematica edificio 14, via Giuseppe Ponzio 31/P, 20133 Milano - Telefono: +39 02 2399 4505 - Fax: +39 02 2399 4568

Didattica Innovativa

Convegni
Seminari
Corsi

Corso di studi
in
Ingegneria Matematica

Dottorato di Ricerca
Modelli e Metodi Matematici
per l'Ingegneria

Dottorato di Ricerca
DADS (Data Analytics and Decision Sciences)

AIM Associazione degli Ingegneri Matematici
AIM
Associazione degli
Ingegneri Matematici