18 Giugno, 2018 14:00

MOX Colloquia

Joint and Individual Variation Explained

Steve Marron, Department of Statistics and O.R., University of North Carolina

Aula Consiglio VII Piano - Edificio 14, Dipartimento di Matematica POLITECNICO DI MILANO

abstract

abstract

A major challenge in the age of Big Data is the integration of disparate data types into a data analysis. That is tackled here in the context of data blocks measured on a common set of experimental subjects. This data structure motivates the simultaneous exploration of the joint and individual variation within each data block. This is done here in a way that scales well to large data sets (with blocks of wildly disparate size), using principal angle analysis, careful formulation of the underlying linear algebra, and differing outputs depending on the analytical goals. Ideas are illustrated using mortality, cancer and neuroimaging data sets.

Contact: piercesare.secchi@polimi.it

Dr.James Stephen Marron is the Amos Hawley Distinguished Professor in UNC's Department of Statistics and Operations Research as well as a professor in the Department of Biostatistics at the UNC Gillings School of Global Public Health. Dr. Marron is widely recognized as a world research leader in the statistical disciplines of high dimensional, functional and object oriented data analysis, as well as data visualization. He has made broad major contributions ranging from the invention of innovative new statistical methods, through software development and on to statistical and mathematical theory.
His research continues with a number of ongoing deep, interdisciplinary research collaborations with colleagues in Computer Science, Genetics, Medicine, Mathematics and Biology. A special strength is his strong record of mentoring graduate students, postdocs and junior faculty, in both statistics and also related disciplinary fields.

12 Giugno, 2018 13:45 in punto

Sezione di Finanza Quantitativa

Learning the Optimal Risk - Advanced Risk-Based Portfolio Management with Global Optimization Algorithms

Marco Scaringi, Intesa Sanpaolo

Aula Seminari Terzo Piano

A major challenge in the age of Big Data is the integration of disparate data types into a data analysis. That is tackled here in the context of data blocks measured on a common set of experimental subjects. This data structure motivates the simultaneous exploration of the joint and individual variation within each data block. This is done here in a way that scales well to large data sets (with blocks of wildly disparate size), using principal angle analysis, careful formulation of the underlying linear algebra, and differing outputs depending on the analytical goals. Ideas are illustrated using mortality, cancer and neuroimaging data sets.

Contact: piercesare.secchi@polimi.it

Dr.James Stephen Marron is the Amos Hawley Distinguished Professor in UNC's Department of Statistics and Operations Research as well as a professor in the Department of Biostatistics at the UNC Gillings School of Global Public Health. Dr. Marron is widely recognized as a world research leader in the statistical disciplines of high dimensional, functional and object oriented data analysis, as well as data visualization. He has made broad major contributions ranging from the invention of innovative new statistical methods, through software development and on to statistical and mathematical theory.
His research continues with a number of ongoing deep, interdisciplinary research collaborations with colleagues in Computer Science, Genetics, Medicine, Mathematics and Biology. A special strength is his strong record of mentoring graduate students, postdocs and junior faculty, in both statistics and also related disciplinary fields.

8 Giugno, 2018 14:30 in punto

Sezione di Geometria, Algebra e loro applicazioni

Bialynicki-Birula decompositions and the Hilbert scheme of points

Joachim Jelisiejew, Institute of Mathematics, Polish Academy of Sciences

Aula seminari del terzo piano

abstract

abstract

In the talk I will briefly describe how a group action can be used to analyse a moduli space (or more generally, a functor) via a generalization of the Bialynicki-Birula decomposition. As a half-of-the-talk-example I will explain
what can be said for the Hilbert scheme of points on A^n (n>2) and in particular how to exhibit its components. In the last part I'll carefully
review open questions: on the one hand, the newly exhibited smooth components are open to direct or experimental investigation and on the other hand, the new methods may help to answer classical open questions about those Hilbert schemes.

Dr.James Stephen Marron is the Amos Hawley Distinguished Professor in UNC's Department of Statistics and Operations Research as well as a professor in the Department of Biostatistics at the UNC Gillings School of Global Public Health. Dr. Marron is widely recognized as a world research leader in the statistical disciplines of high dimensional, functional and object oriented data analysis, as well as data visualization. He has made broad major contributions ranging from the invention of innovative new statistical methods, through software development and on to statistical and mathematical theory.
His research continues with a number of ongoing deep, interdisciplinary research collaborations with colleagues in Computer Science, Genetics, Medicine, Mathematics and Biology. A special strength is his strong record of mentoring graduate students, postdocs and junior faculty, in both statistics and also related disciplinary fields.

7 Giugno, 2018 10:30

MOX Colloquia

Biomechanical modeling of the heart, and cardiovascular system - From sarcomeres to organ / system, with experimental assessments and patient-specific clinical validations

Dominique Chapelle, M3DISIM, INRIA - Paris - France

Aula Consiglio VII Piano - Edificio 14, Dipartimento di Matematica POLITECNICO DI MILANO

abstract

abstract

Cardiac contraction originates at a subcellular - molecular, indeed - scale, within specific components of the cardiomyocytes (i.e. cardiac cells) called sarcomeres. This contractile behaviour then needs to be integrated at the organ level, namely, with a specific structure and shape. Furthermore, this organ crucially interacts with other physiological systems, the first of which being blood circulation via the cardiac function itself, and also the nervous system that controls the heart via various regulation mechanisms, and these interactions must be adequately represented in order to obtain accurate and predictive model simulations. This presentation will provide an overview of the recent advances on cardiac modeling achieved in the M3DISIM group, with a particular focus on the key multiscale, multi-physics and integrated system modeling aspects that need to be addressed, with many associated challenges pertaining to numerical methods and model validation, in particular.

Contact: alfio.quarteroni@polimi.it

Dominique Chapelle is a senior researcher at Inria - in the M3DISIM research team also affiliated with Ecole Polytechnique - and the head of science of the Inria Saclay-Ile-de-France research center. He graduated from Ecole Polytechnique, MIT, and Paris 6 University, with a dual background in applied mathematics and engineering. His areas of expertise are in mechanical modeling and numerical analysis, with a focus on cardiac modeling developed over the past 15 years

7 Giugno, 2018 14:00

MOX Colloquia

Inverse Problems for the Cardiac System

Philippe Moireau, M3DISIM, INRIA - Paris - France

Aula Consiglio VII Piano - Edificio 14, Dipartimento di Matematica POLITECNICO DI MILANO

abstract

abstract

When considering the modeling of the cardiovascular system and more specifically the heart, there is a need for the personalization of not only the geometry but various aspects of the physical model: uncertain initial conditions, constitutive parameters or boundary conditions. Indeed, identifying key parameters - using measurements of a type that is available in medical imaging - can provide patient specific simulations that can be used by clinicians in their diagnosis. In other engineering fields where large amounts of data are available - like weather forecasting or climatology - it is now common to tackle these uncertainties in the models by data assimilation procedures - variational (4D-var) or sequential (Kalman like). In this context, our objective is to propose and analyze data assimilation methods adapted to the specificity of the biomechanical systems considered and to the available data, in particular image sequences.

Contact: alfio.quarteroni@polimi.it

Philippe Moireau is a senior researcher at Inria, head of the M3DISIM Inria research team also affiliated with Ecole Polytechnique. He graduated from Ecole Polytechnique, Telecom ParisTech, and Paris 6 University, with a dual background in applied mathematics and computer sciences. His areas of expertise are in mathematical modeling, numerical analysis and data assimilation, with applications to the cardiovascular problems.

6 Giugno, 2018 12:15

Seminari di Cultura Matematica

Missione Planck, l'immagine dell'universo neonato

Marco Bersanelli, Università degli Studi di Milano

Politecnico di Milano Campus Bonardi Edificio14 aula B21

When considering the modeling of the cardiovascular system and more specifically the heart, there is a need for the personalization of not only the geometry but various aspects of the physical model: uncertain initial conditions, constitutive parameters or boundary conditions. Indeed, identifying key parameters - using measurements of a type that is available in medical imaging - can provide patient specific simulations that can be used by clinicians in their diagnosis. In other engineering fields where large amounts of data are available - like weather forecasting or climatology - it is now common to tackle these uncertainties in the models by data assimilation procedures - variational (4D-var) or sequential (Kalman like). In this context, our objective is to propose and analyze data assimilation methods adapted to the specificity of the biomechanical systems considered and to the available data, in particular image sequences.

Contact: alfio.quarteroni@polimi.it

Philippe Moireau is a senior researcher at Inria, head of the M3DISIM Inria research team also affiliated with Ecole Polytechnique. He graduated from Ecole Polytechnique, Telecom ParisTech, and Paris 6 University, with a dual background in applied mathematics and computer sciences. His areas of expertise are in mathematical modeling, numerical analysis and data assimilation, with applications to the cardiovascular problems.

1 Giugno, 2018 11:00

Seminario Matematico e Fisico di Milano

The essential norm estimates of Hankel and the $\overline\partial$-Neumann operators

Zeljko Cuckovic, University of Toledo

Sala di Rappresentanza, Università di Milano, Via C. Saldini 50, Milano

abstract

abstract

Compactness of the $\overline\partial$-Neumann operator is
closely connected to the compactness of Hankel operators on the Bergman
space. At first, for convex domains in $\mathbb{C}^n$, we use the
$\overline\partial$ methods to relate the compactness of a Hankel
operator to the boundary behavior of its symbol. In the absence of
compactness, we give the essential norm estimates of Hankel operators.
This in turn, led us to obtain the essential norm estimates for the
$\overline\partial$-Neumann operator on convex domains. (This is joint
work with Sonmez Sahutoglu)

Philippe Moireau is a senior researcher at Inria, head of the M3DISIM Inria research team also affiliated with Ecole Polytechnique. He graduated from Ecole Polytechnique, Telecom ParisTech, and Paris 6 University, with a dual background in applied mathematics and computer sciences. His areas of expertise are in mathematical modeling, numerical analysis and data assimilation, with applications to the cardiovascular problems.

31 Maggio, 2018 14:30

Sezione di Geometria, Algebra e loro applicazioni

On the harmonicity of slice regular functions

Cinzia Bisi, Università di Ferrara

Aula Seminari III piano

abstract

abstract

I will start improving the definition of slice regular function over the quaternions given by Gentili-Struppa in 2006-2007.
Then, bringing new ideas to the theory, I will answer positively to the question: is a slice regular function over the quaternions (analogously to a holomorphic function over the complex) ”harmonic” in some sense, i.e. is it in the kernel of some order-two differential operator over the quaternions?
Finally, I will deduce novel integral formulas as applications.
This is part of a common project with J. Winkelmann.

Philippe Moireau is a senior researcher at Inria, head of the M3DISIM Inria research team also affiliated with Ecole Polytechnique. He graduated from Ecole Polytechnique, Telecom ParisTech, and Paris 6 University, with a dual background in applied mathematics and computer sciences. His areas of expertise are in mathematical modeling, numerical analysis and data assimilation, with applications to the cardiovascular problems.

30 Maggio, 2018 12:15

Seminari di Cultura Matematica

La geometria delle piramidi egizie

Corinna Rossi, Politecnico di Milano

Politecnico di Milano Campus Bonardi Edificio14 aula B21

I will start improving the definition of slice regular function over the quaternions given by Gentili-Struppa in 2006-2007.
Then, bringing new ideas to the theory, I will answer positively to the question: is a slice regular function over the quaternions (analogously to a holomorphic function over the complex) ”harmonic” in some sense, i.e. is it in the kernel of some order-two differential operator over the quaternions?
Finally, I will deduce novel integral formulas as applications.
This is part of a common project with J. Winkelmann.

Philippe Moireau is a senior researcher at Inria, head of the M3DISIM Inria research team also affiliated with Ecole Polytechnique. He graduated from Ecole Polytechnique, Telecom ParisTech, and Paris 6 University, with a dual background in applied mathematics and computer sciences. His areas of expertise are in mathematical modeling, numerical analysis and data assimilation, with applications to the cardiovascular problems.

29 Maggio, 2018 11:00

Seminario Matematico e Fisico di Milano

Tales of Our Forefathers

Barry Simon, California Institute of Technology

Sala Consiglio, 7 piano, Edificio La Nave, Via Bonardi 9

abstract

abstract

This is not a mathematics talk but it is a talk for mathematicians. Too often, we think of historical mathematicians as only names assigned to theorems. With vignettes and anecdotes, I'll convince you they were also human beings and that, as the Chinese say, "May you live in interesting times" really is a curse.

Philippe Moireau is a senior researcher at Inria, head of the M3DISIM Inria research team also affiliated with Ecole Polytechnique. He graduated from Ecole Polytechnique, Telecom ParisTech, and Paris 6 University, with a dual background in applied mathematics and computer sciences. His areas of expertise are in mathematical modeling, numerical analysis and data assimilation, with applications to the cardiovascular problems.