Eventi
Chi decide e chi legittima campagne di sanità pubblica (vaccinazioni, quarantene, screening genetici)? Partendo dall'esame di casi reali - sia italiani sia internazionali - si discuterà come il sapere scientifico, il dovere dello stato di proteggere i cittadini e una vera partecipazione pubblica possano interrelarsi fruttuosamente e senza alcuna caduta liberticida o deriva arrogante
A CR mapping is a diffeomorphism between two real manifolds in complex space that satisfies tangential Cauchy-Riemann equations. We are concerned with the problem whether a CR mapping is uniquely determined by its finite jet at a point. This problem has been popular since 1970-s and the number of publications on the matter is enormous. Nevertheles, natural fundamental questions have been open. I will present a solution to a version of the problem and discuss old and recent results.
Weyl semimetals are 3D condensed matter systems characterized
by a degenerate Fermi surface, consisting of a pair of `Weyl nodes'.
Correspondingly, in the infrared limit, these systems behave effectively
as Weyl fermions in 3+1 dimensions. We consider a class of interacting
3D lattice models for Weyl semimetals and prove that the quadratic
response of the quasi-particle flow between the Weyl nodes, which is the
condensed matter analogue of the chiral anomaly in QED4, is universal,
that is, independent of the interaction strength and form. Universality,
which is the counterpart of the Adler-Bardeen non-renormalization
property of the chiral anomaly for the infrared emergent description, is
proved to hold at a non-perturbative level, notwithstanding the presence
of a lattice (in contrast with the original Adler-Bardeen theorem, which
is perturbative and requires relativistic invariance to hold). The proof
relies on constructive bounds for the Euclidean ground state correlation
functions combined with lattice Ward Identities, and it is valid
arbitrarily close to the critical point where the Weyl points merge and
the relativistic description breaks down.
Joint work with V. Mastropietro and M. Porta.
The tunrpike principle, ubiquitous in applications, asserts that in long time horizons optimal control strategies are nearly of a steady state nature. In this lecture we shall survey on some recent results on this topic and present some its consequences on deep supervised learning, and, in particular, in Residual Neural Networks. This lecture will be based in particular on recent joint work with C: Esteve, B. Geshkovski and D. Pighin.
Affiliations:
[1] Friedrich-Alexander-Universität Erlangen-Nürnberg, Erlangen, Germany
[2] Fundación Deusto, Bilbao, Basque Country Spain
[3] Universidad Autónoma de Madrid, Spain
Contatto: alfio.quarteroni@polimi.it
Enrique Zuazua Iriondo (Eibar, Basque Country - Spain, 1961) dual PhD in Mathematics - University of the Basque Country & Université Pierre et Marie Curie, holds a Chair in Applied Analysis - Alexander von Humboldt Professorship at FAU- Friedrich-Alexander University, Erlangen-Nürnberg (Germany). He leads the research project "DyCon: Dynamic Control", funded by the ERC - European Research Council at Deusto Foundation, University of Deusto - Bilbao (Basque Country, Spain) and the Department of Mathematics, at UAM - Autonomous University of Madrid where he holds secondary appoints as Professor of Applied Mathematics (UAM) and Director of CCM - Chair of Computational Mathematics (Deusto). His fields of expertise in the area of Applied Mathematics cover topics related with Partial Differential Equations, Systems Control and Machine Learning, led to some fruitful collaboration in different industrial sectors such as the optimal shape design in aeronautics and the management of electrical and water distribution networks. With an important high impact on his work (h-index = 41), he has mentored a significant number of postdoctoral researchers and coached a wide network of Science managers.
He holds a degree in Mathematics from the University of the Basque Country, and a dual PhD degree from the same university (1987) and the Université Pierre et Marie Curie, Paris (1988). In 1990 he became Professor of Applied Mathematics at the Complutense University of Madrid, to later move to UAM in 2001. He has been awarded the Euskadi (Basque Country) Prize for Science and Technology 2006 and the Spanish National Julio Rey Pastor Prize 2007 in Mathematics and Information and Communication Technology and the Advanced Grants by the European Research Council (ERC) NUMERIWAVES in 2010 and DyCon in 2016. He is an Honorary member of the of Academia Europaea and Jakiunde, the Basque Academy of Sciences, Letters and Humanities, Doctor Honoris Causa from the Université de Lorraine in France and Ambassador of the Friedrisch-Alexandre University in Erlangen-Nurenberg, Germany. He was an invited speaker at ICM2006 in the section on Control and Optimization. From 1999-2002 he was the first Scientific Manager of the Panel for Mathematics within the Spanish National Research Plan and from 2008-2012 he was the Founding Scientific Director of the BCAM - Basque Center for Applied Mathematics.
He is also a member of the Scientific Council if a number of international research institutions such as the CERFACS in Toulouse, France and member of the Editorial Board in some of the leading journals in Applied Mathematics and Control Theory
We address theoretical and practical questions in the domain of Deep Learning for High Frequency Trading. State-of-the-art models such as Random models, Logistic Regressions, LSTMs, LSTMs equipped with an Attention mask, CNN-LSTMs and MLPs are reviewed and compared on the same tasks, feature space, and dataset and clustered according to pairwise similarity and performance metrics. The underlying dimensions of the modelling techniques are hence investigated to understand whether these are intrinsic to the Limit Order Book’s dynamics. We observe that the Multilayer Perceptron performs comparably to or better than state-of-the-art CNN-LSTM architectures indicating that dynamic spatial and temporal dimensions are a good approximation of the LOB’s dynamics, but not necessarily the true underlying dimensions.
Enrique Zuazua Iriondo (Eibar, Basque Country - Spain, 1961) dual PhD in Mathematics - University of the Basque Country & Université Pierre et Marie Curie, holds a Chair in Applied Analysis - Alexander von Humboldt Professorship at FAU- Friedrich-Alexander University, Erlangen-Nürnberg (Germany). He leads the research project "DyCon: Dynamic Control", funded by the ERC - European Research Council at Deusto Foundation, University of Deusto - Bilbao (Basque Country, Spain) and the Department of Mathematics, at UAM - Autonomous University of Madrid where he holds secondary appoints as Professor of Applied Mathematics (UAM) and Director of CCM - Chair of Computational Mathematics (Deusto). His fields of expertise in the area of Applied Mathematics cover topics related with Partial Differential Equations, Systems Control and Machine Learning, led to some fruitful collaboration in different industrial sectors such as the optimal shape design in aeronautics and the management of electrical and water distribution networks. With an important high impact on his work (h-index = 41), he has mentored a significant number of postdoctoral researchers and coached a wide network of Science managers.
He holds a degree in Mathematics from the University of the Basque Country, and a dual PhD degree from the same university (1987) and the Université Pierre et Marie Curie, Paris (1988). In 1990 he became Professor of Applied Mathematics at the Complutense University of Madrid, to later move to UAM in 2001. He has been awarded the Euskadi (Basque Country) Prize for Science and Technology 2006 and the Spanish National Julio Rey Pastor Prize 2007 in Mathematics and Information and Communication Technology and the Advanced Grants by the European Research Council (ERC) NUMERIWAVES in 2010 and DyCon in 2016. He is an Honorary member of the of Academia Europaea and Jakiunde, the Basque Academy of Sciences, Letters and Humanities, Doctor Honoris Causa from the Université de Lorraine in France and Ambassador of the Friedrisch-Alexandre University in Erlangen-Nurenberg, Germany. He was an invited speaker at ICM2006 in the section on Control and Optimization. From 1999-2002 he was the first Scientific Manager of the Panel for Mathematics within the Spanish National Research Plan and from 2008-2012 he was the Founding Scientific Director of the BCAM - Basque Center for Applied Mathematics.
He is also a member of the Scientific Council if a number of international research institutions such as the CERFACS in Toulouse, France and member of the Editorial Board in some of the leading journals in Applied Mathematics and Control Theory
Uno dei personaggi più interessanti della geometria euclidea è senza dubbio il triangolo. Il triangolo, così semplice eppure così ricco di proprietà, rappresenta una sorta di “campo di battaglia” in cui, partendo da risultati noti, si va a caccia di nuovi teoremi, per poi analizzare la possibilità eventuale di estenderli anche a poligoni con più lati.
Che dire per esempio delle formule legate all’area di un triangolo?
Ne esistono molte, a seconda delle ipotesi che si hanno a disposizione. Erone dimostrò che il quadrato dell’area si può esprimere come funzione razionale simmetrica dei lati. L’affascinante scoperta suscitò subito diversi intriganti quesiti, alcuni dei quali, solcando i tempi, sono giunti fino ai giorni nostri.
Eccone alcuni.
Non ci credo, me la dimostri?
E’ possibile estendere la formula di Erone a quadrilateri?
Ma c’entra anche Pitagora? (Comunque Pitagora c’entra sempre).
E per poligoni con n>4 lati cosa succede?
Ma sono proprio i lati i veri protagonisti?
Durante la conferenza intendo affrontare queste e altre domande, inseguendo Erone nel suo avventuroso viaggio oltre i triangoli
Enrique Zuazua Iriondo (Eibar, Basque Country - Spain, 1961) dual PhD in Mathematics - University of the Basque Country & Université Pierre et Marie Curie, holds a Chair in Applied Analysis - Alexander von Humboldt Professorship at FAU- Friedrich-Alexander University, Erlangen-Nürnberg (Germany). He leads the research project "DyCon: Dynamic Control", funded by the ERC - European Research Council at Deusto Foundation, University of Deusto - Bilbao (Basque Country, Spain) and the Department of Mathematics, at UAM - Autonomous University of Madrid where he holds secondary appoints as Professor of Applied Mathematics (UAM) and Director of CCM - Chair of Computational Mathematics (Deusto). His fields of expertise in the area of Applied Mathematics cover topics related with Partial Differential Equations, Systems Control and Machine Learning, led to some fruitful collaboration in different industrial sectors such as the optimal shape design in aeronautics and the management of electrical and water distribution networks. With an important high impact on his work (h-index = 41), he has mentored a significant number of postdoctoral researchers and coached a wide network of Science managers.
He holds a degree in Mathematics from the University of the Basque Country, and a dual PhD degree from the same university (1987) and the Université Pierre et Marie Curie, Paris (1988). In 1990 he became Professor of Applied Mathematics at the Complutense University of Madrid, to later move to UAM in 2001. He has been awarded the Euskadi (Basque Country) Prize for Science and Technology 2006 and the Spanish National Julio Rey Pastor Prize 2007 in Mathematics and Information and Communication Technology and the Advanced Grants by the European Research Council (ERC) NUMERIWAVES in 2010 and DyCon in 2016. He is an Honorary member of the of Academia Europaea and Jakiunde, the Basque Academy of Sciences, Letters and Humanities, Doctor Honoris Causa from the Université de Lorraine in France and Ambassador of the Friedrisch-Alexandre University in Erlangen-Nurenberg, Germany. He was an invited speaker at ICM2006 in the section on Control and Optimization. From 1999-2002 he was the first Scientific Manager of the Panel for Mathematics within the Spanish National Research Plan and from 2008-2012 he was the Founding Scientific Director of the BCAM - Basque Center for Applied Mathematics.
He is also a member of the Scientific Council if a number of international research institutions such as the CERFACS in Toulouse, France and member of the Editorial Board in some of the leading journals in Applied Mathematics and Control Theory
Two important problems frequently arising in applications of statistical data analysis can be informally stated as follows.
(1) Distances between data points taken from some (unknown) manifold are measured. Can one reconstruct this manifold or its embedding in a given (say, Euclidean) space knowing just the information on the distances?
Can one get some information on its topology (e.g. Betti numbers, Euler characteristic etc)?
(2) Location of data points on an unknown manifold embedded in a Euclidean space are known with some errors. Can one reconstruct their ``true'' locations and the manifold itself?
Both problems are quite common to data science/big data and constitute what is nowadays known under the name ``manifold learning''.
We will discuss these problems (with the emphasis on (1), maybe just sketching (2), their motivation from applications, as well as their ``close relatives'' from metric geometry, both in "continuous" and "discrete" versions.
Enrique Zuazua Iriondo (Eibar, Basque Country - Spain, 1961) dual PhD in Mathematics - University of the Basque Country & Université Pierre et Marie Curie, holds a Chair in Applied Analysis - Alexander von Humboldt Professorship at FAU- Friedrich-Alexander University, Erlangen-Nürnberg (Germany). He leads the research project "DyCon: Dynamic Control", funded by the ERC - European Research Council at Deusto Foundation, University of Deusto - Bilbao (Basque Country, Spain) and the Department of Mathematics, at UAM - Autonomous University of Madrid where he holds secondary appoints as Professor of Applied Mathematics (UAM) and Director of CCM - Chair of Computational Mathematics (Deusto). His fields of expertise in the area of Applied Mathematics cover topics related with Partial Differential Equations, Systems Control and Machine Learning, led to some fruitful collaboration in different industrial sectors such as the optimal shape design in aeronautics and the management of electrical and water distribution networks. With an important high impact on his work (h-index = 41), he has mentored a significant number of postdoctoral researchers and coached a wide network of Science managers.
He holds a degree in Mathematics from the University of the Basque Country, and a dual PhD degree from the same university (1987) and the Université Pierre et Marie Curie, Paris (1988). In 1990 he became Professor of Applied Mathematics at the Complutense University of Madrid, to later move to UAM in 2001. He has been awarded the Euskadi (Basque Country) Prize for Science and Technology 2006 and the Spanish National Julio Rey Pastor Prize 2007 in Mathematics and Information and Communication Technology and the Advanced Grants by the European Research Council (ERC) NUMERIWAVES in 2010 and DyCon in 2016. He is an Honorary member of the of Academia Europaea and Jakiunde, the Basque Academy of Sciences, Letters and Humanities, Doctor Honoris Causa from the Université de Lorraine in France and Ambassador of the Friedrisch-Alexandre University in Erlangen-Nurenberg, Germany. He was an invited speaker at ICM2006 in the section on Control and Optimization. From 1999-2002 he was the first Scientific Manager of the Panel for Mathematics within the Spanish National Research Plan and from 2008-2012 he was the Founding Scientific Director of the BCAM - Basque Center for Applied Mathematics.
He is also a member of the Scientific Council if a number of international research institutions such as the CERFACS in Toulouse, France and member of the Editorial Board in some of the leading journals in Applied Mathematics and Control Theory
We will follow the fractal market approach to simulate the chaos of the behaviour of the financial markets. We will use also some hypotheses of the behavioural finance.
Enrique Zuazua Iriondo (Eibar, Basque Country - Spain, 1961) dual PhD in Mathematics - University of the Basque Country & Université Pierre et Marie Curie, holds a Chair in Applied Analysis - Alexander von Humboldt Professorship at FAU- Friedrich-Alexander University, Erlangen-Nürnberg (Germany). He leads the research project "DyCon: Dynamic Control", funded by the ERC - European Research Council at Deusto Foundation, University of Deusto - Bilbao (Basque Country, Spain) and the Department of Mathematics, at UAM - Autonomous University of Madrid where he holds secondary appoints as Professor of Applied Mathematics (UAM) and Director of CCM - Chair of Computational Mathematics (Deusto). His fields of expertise in the area of Applied Mathematics cover topics related with Partial Differential Equations, Systems Control and Machine Learning, led to some fruitful collaboration in different industrial sectors such as the optimal shape design in aeronautics and the management of electrical and water distribution networks. With an important high impact on his work (h-index = 41), he has mentored a significant number of postdoctoral researchers and coached a wide network of Science managers.
He holds a degree in Mathematics from the University of the Basque Country, and a dual PhD degree from the same university (1987) and the Université Pierre et Marie Curie, Paris (1988). In 1990 he became Professor of Applied Mathematics at the Complutense University of Madrid, to later move to UAM in 2001. He has been awarded the Euskadi (Basque Country) Prize for Science and Technology 2006 and the Spanish National Julio Rey Pastor Prize 2007 in Mathematics and Information and Communication Technology and the Advanced Grants by the European Research Council (ERC) NUMERIWAVES in 2010 and DyCon in 2016. He is an Honorary member of the of Academia Europaea and Jakiunde, the Basque Academy of Sciences, Letters and Humanities, Doctor Honoris Causa from the Université de Lorraine in France and Ambassador of the Friedrisch-Alexandre University in Erlangen-Nurenberg, Germany. He was an invited speaker at ICM2006 in the section on Control and Optimization. From 1999-2002 he was the first Scientific Manager of the Panel for Mathematics within the Spanish National Research Plan and from 2008-2012 he was the Founding Scientific Director of the BCAM - Basque Center for Applied Mathematics.
He is also a member of the Scientific Council if a number of international research institutions such as the CERFACS in Toulouse, France and member of the Editorial Board in some of the leading journals in Applied Mathematics and Control Theory
Il seminario affronta il problema dell'apprendimento in matematica nel contesto di pratiche blended o interamente a distanza. In particolare, ci si sofferma sull'esigenza dell'insegnante di coinvolgere gli studenti in attività partecipative, come ad esempio il problem solving. Inoltre, si discute delle sfide della valutazione in tali contesti.
Enrique Zuazua Iriondo (Eibar, Basque Country - Spain, 1961) dual PhD in Mathematics - University of the Basque Country & Université Pierre et Marie Curie, holds a Chair in Applied Analysis - Alexander von Humboldt Professorship at FAU- Friedrich-Alexander University, Erlangen-Nürnberg (Germany). He leads the research project "DyCon: Dynamic Control", funded by the ERC - European Research Council at Deusto Foundation, University of Deusto - Bilbao (Basque Country, Spain) and the Department of Mathematics, at UAM - Autonomous University of Madrid where he holds secondary appoints as Professor of Applied Mathematics (UAM) and Director of CCM - Chair of Computational Mathematics (Deusto). His fields of expertise in the area of Applied Mathematics cover topics related with Partial Differential Equations, Systems Control and Machine Learning, led to some fruitful collaboration in different industrial sectors such as the optimal shape design in aeronautics and the management of electrical and water distribution networks. With an important high impact on his work (h-index = 41), he has mentored a significant number of postdoctoral researchers and coached a wide network of Science managers.
He holds a degree in Mathematics from the University of the Basque Country, and a dual PhD degree from the same university (1987) and the Université Pierre et Marie Curie, Paris (1988). In 1990 he became Professor of Applied Mathematics at the Complutense University of Madrid, to later move to UAM in 2001. He has been awarded the Euskadi (Basque Country) Prize for Science and Technology 2006 and the Spanish National Julio Rey Pastor Prize 2007 in Mathematics and Information and Communication Technology and the Advanced Grants by the European Research Council (ERC) NUMERIWAVES in 2010 and DyCon in 2016. He is an Honorary member of the of Academia Europaea and Jakiunde, the Basque Academy of Sciences, Letters and Humanities, Doctor Honoris Causa from the Université de Lorraine in France and Ambassador of the Friedrisch-Alexandre University in Erlangen-Nurenberg, Germany. He was an invited speaker at ICM2006 in the section on Control and Optimization. From 1999-2002 he was the first Scientific Manager of the Panel for Mathematics within the Spanish National Research Plan and from 2008-2012 he was the Founding Scientific Director of the BCAM - Basque Center for Applied Mathematics.
He is also a member of the Scientific Council if a number of international research institutions such as the CERFACS in Toulouse, France and member of the Editorial Board in some of the leading journals in Applied Mathematics and Control Theory
Many applicative studies deal with multinomial responses and hierarchical data. Performing clustering at the highest level of grouping, in multilevel multinomial regression, is also often of interest. In this study, we analyse Politecnico di Milano data with the aim of profiling students, modelling their probabilities of belonging to different categories, considering their nested structure within engineering degree programmes. In particular, we are interested in clustering degree programmes standing on their effects on different types of student career. To this end, we propose an EM algorithm for implementing semiparametric mixed-effects models dealing with a multinomial response. The novel semiparametric approach assumes the random effects to follow a multivariate discrete distribution with an a priori unknown number of support points, that is allowed to differ across response categories. The advantage of this modelling is twofold: the discrete distribution on random effects allows, first, to express the marginal density as a weighted sum, avoiding numerical problems in the integration step, typical of the parametric approach, and, second, to identify a latent structure at the highest level of the hierarchy, where groups are clustered into subpopulations.
Contatto: laura.sangalli@polimi.it
Enrique Zuazua Iriondo (Eibar, Basque Country - Spain, 1961) dual PhD in Mathematics - University of the Basque Country & Université Pierre et Marie Curie, holds a Chair in Applied Analysis - Alexander von Humboldt Professorship at FAU- Friedrich-Alexander University, Erlangen-Nürnberg (Germany). He leads the research project "DyCon: Dynamic Control", funded by the ERC - European Research Council at Deusto Foundation, University of Deusto - Bilbao (Basque Country, Spain) and the Department of Mathematics, at UAM - Autonomous University of Madrid where he holds secondary appoints as Professor of Applied Mathematics (UAM) and Director of CCM - Chair of Computational Mathematics (Deusto). His fields of expertise in the area of Applied Mathematics cover topics related with Partial Differential Equations, Systems Control and Machine Learning, led to some fruitful collaboration in different industrial sectors such as the optimal shape design in aeronautics and the management of electrical and water distribution networks. With an important high impact on his work (h-index = 41), he has mentored a significant number of postdoctoral researchers and coached a wide network of Science managers.
He holds a degree in Mathematics from the University of the Basque Country, and a dual PhD degree from the same university (1987) and the Université Pierre et Marie Curie, Paris (1988). In 1990 he became Professor of Applied Mathematics at the Complutense University of Madrid, to later move to UAM in 2001. He has been awarded the Euskadi (Basque Country) Prize for Science and Technology 2006 and the Spanish National Julio Rey Pastor Prize 2007 in Mathematics and Information and Communication Technology and the Advanced Grants by the European Research Council (ERC) NUMERIWAVES in 2010 and DyCon in 2016. He is an Honorary member of the of Academia Europaea and Jakiunde, the Basque Academy of Sciences, Letters and Humanities, Doctor Honoris Causa from the Université de Lorraine in France and Ambassador of the Friedrisch-Alexandre University in Erlangen-Nurenberg, Germany. He was an invited speaker at ICM2006 in the section on Control and Optimization. From 1999-2002 he was the first Scientific Manager of the Panel for Mathematics within the Spanish National Research Plan and from 2008-2012 he was the Founding Scientific Director of the BCAM - Basque Center for Applied Mathematics.
He is also a member of the Scientific Council if a number of international research institutions such as the CERFACS in Toulouse, France and member of the Editorial Board in some of the leading journals in Applied Mathematics and Control Theory
Seminari Matematici al
Politecnico di Milano
- Analisi
- Cultura Matematica
- Seminari FDS
- Geometria e Algebra
- Probabilità e Statistica Matematica
- Probabilità Quantistica