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[NOMADS] Seminar - Gianluca Ceruti - Jan 13 at 17:00
by Francesco Tudisco 11 Jan '21

11 Jan '21

Dear all, We hope you all had joyful holidays and wish you all a great start for the new year! We are ready to start with this year's NOMADS seminar at GSSI and would like to invite you to this week's talk. The seminar will be given on Wednesday January 13 at 17:00 (CET) by Gianluca Ceruti from University of Tuebingen. Title, abstract and zoom link are below. Further info about past and future meetings are available at the webpage: https://num-gssi.github.io/seminar/ Please feel free to distribute this announcement as you see fit. Hope to see you all on Wednesday! Francesco and Nicola ================================ Speaker: Gianluca Ceruti, University of Tuebingen https://na.uni-tuebingen.de/~ceruti/ Zoom link: https://us02web.zoom.us/j/82131676880 Numerical integrators for dynamical low-rank approximation Discretization of time-dependent high-dimensional PDEs suffers of an undesired effect, known as curse of dimensionality. The amount of data to be stored and treated, grows exponentially, and exceeds standard capacity of common computational devices. In this setting, time dependent model order reductions techniques are desirable. In the present seminar, together with efficient numerical integrators, we present a recently developed approach: dynamical low-rank approximation. Dynamical low-rank approximation for matrices will be firstly presented, and a numerical integrator with two remarkable properties will be introduced: the matrix projector splitting integrator. Based upon this numerical integrator, we will construct two equivalent extensions for tensors, multi-dimensional arrays, in Tucker format - a high-order generalization of the SVD decomposition for matrices. These extensions are proven to preserve the excellent qualities of the matrix integrator. To conclude, via a novel compact formulation of the Tucker integrator, we will further extend the matrix and Tucker projector splitting integrators to the most general class of Tree Tensor Networks. Important examples belonging to this class and of interest for applications are given, but not only restricted to, by Tensor Trains. This seminar is based upon a joint work with Ch. Lubich and H. Walach. — Francesco Tudisco Assistant Professor School of Mathematics GSSI Gran Sasso Science Institute Web: https://ftudisco.gitlab.io -- You received this message because you are subscribed to the Google Groups "nomads-list" group. To unsubscribe from this group and stop receiving emails from it, send an email to nomads-list+unsubscribe(a)gssi.it. To view this discussion on the web visit https://groups.google.com/a/gssi.it/d/msgid/nomads-list/CAO2_FW%3DqD1z%3D9V…. For more options, visit https://groups.google.com/a/gssi.it/d/optout.

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[NOMADS] Seminar - Alexander Viguerie - Dec 16 at 17:00
by Francesco Tudisco 16 Dec '20

16 Dec '20

Dear all, You are all invited to this week's NOMADS seminar at GSSI. The seminar will be given on *Wednesday December 16 at 17:00* (CET) by *Alexander Viguerie* from GSSI. Title, abstract and zoom link are below. This is the last seminar of 2020 and we will then be back on Jan 13, 2021. Further info about past and future meetings are available at the webpage: https://num-gssi.github.io/seminar/ Please feel free to distribute this announcement as you see fit. Hope to see you all on Wednesday! Francesco and Nicola ================================================== Zoom link: https://us02web.zoom.us/j/89492628943 Speaker: Alexander Viguerie <https://www.gssi.it/people/post-doc/post-doc-maths/item/11289-viguerie-alex> Title: Efficient, stable, and reliable solvers for the Steady Incompressible Navier-Stokes equations: application to Computational Hemodynamics. Abstract: Over the past several years, computational fluid dynamics (CFD) simulations have become increasingly popular as a clinical tool for cardiologists at the patient-specific level. The use of CFD in this area poses several challenges. The clinical setting places heavy restrictions on both computational time and power. Simulation results are usually desired within minutes and are usually run on standard computers. For these reasons, steady-state Navier-Stokes simulations are usually preferred, as they can be completed in a fraction of the time required to run an unsteady computation. However, in many respects the steady problem is more difficult than the unsteady one, particularly in regards to solving the associated linear and nonlinear systems. Additionally, boundary data for patient-specific problems is often missing, incomplete, or unreliable. This makes the determination of a useful model challenging, as it requires the generation of reliable boundary data without introducing heavy computational costs. This seminar will address these challenges, as well as some others, and introduce new techniques for workarounds. Results from patient-specific cases will be presented and discussed. — Francesco Tudisco Assistant Professor School of Mathematics GSSI Gran Sasso Science Institute Web: https://ftudisco.gitlab.io -- You received this message because you are subscribed to the Google Groups "nomads-list" group. To unsubscribe from this group and stop receiving emails from it, send an email to nomads-list+unsubscribe(a)gssi.it. To view this discussion on the web visit https://groups.google.com/a/gssi.it/d/msgid/nomads-list/54b94f9a-5840-e31c-…. For more options, visit https://groups.google.com/a/gssi.it/d/optout.

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Seminario di Des Higham
by Dario A. Bini 04 Dec '20

04 Dec '20

Buongiorno, vi informo che oggi alle 15:00 Desmond Higham (University of Edinburgh), presenterà un seminario dal titolo "/A Hierarchy of //Network Models Giving Bistability Under Triadic Closure/". L'abstract e' allegato. Per registrarsi e ricevere il link per partecipare via Zoom cliccare su https://sites.google.com/unisa.it/nepaseminars A presto, Dario --- Abstract: Triadic closure describes the tendency for new friendships to form between individuals who already have friends in common. It has been argued heuristically that the triadic closure effect can lead to bistability in the formation of large-scale social interaction networks. Here, depending on the initial state and the transient dynamics, the system may evolve towards either of two long-time states. In this work, we study a hierarchy of network evolution models that incorporate triadic closure, building on the work of Grindrod, Higham and Parsons [Internet Mathematics, 8, 2012, 402--423]. In a macroscale regime, we show rigorously that a bimodal steady state distribution is admitted. Computational simulations will be used to support the analysis. This is joint work work with Stefano Di Giovacchino (L'Aquila) and Kostas Zygalakis (Edinburgh).

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[NOMADS] Seminar - Martin Stoll - Today at 17:00
by Francesco Tudisco 02 Dec '20

02 Dec '20

Good morning everyone, This is just a gentle reminder about today's seminar "From PDEs to data science: an adventure with the graph Laplacian" by Martin Stoll (TU-Chemnitz). Abstract below. The seminar is at 17:00 (CET). To attend, please use the zoom link: https://us02web.zoom.us/j/81317396646 Hope to see you there! Francesco and Nicola ------ Martin Stoll <https://www.tu-chemnitz.de/mathematik/wire/prof.php>, TU-Chemnitz From PDEs to data science: an adventure with the graph Laplacian In this talk we briefly review some basic PDE models that are used to model phase separation in materials science. They have since become important tools in image processing and over the last years semi-supervised learning strategies could be implemented with these PDEs at the core. The main ingredient is the graph Laplacian that stems from a graph representation of the data. This matrix is large and typically dense. We illustrate some of its crucial features and show how to efficiently work with the graph Laplacian. In particular, we need some of its eigenvectors and for this the Lanczos process needs to be implemented efficiently. Here, we suggest the use of the NFFT method for evaluating the matrix vector products without even fully constructing the matrix. We illustrate the performance on several examples. — Francesco Tudisco Assistant Professor School of Mathematics GSSI Gran Sasso Science Institute Web: https://ftudisco.gitlab.io -- You received this message because you are subscribed to the Google Groups "nomads-list" group. To unsubscribe from this group and stop receiving emails from it, send an email to nomads-list+unsubscribe(a)gssi.it. To view this discussion on the web visit https://groups.google.com/a/gssi.it/d/msgid/nomads-list/002e39cd-038e-e9cc-…. For more options, visit https://groups.google.com/a/gssi.it/d/optout.

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Seminar on 01/12 (Fabio Durastante)
by Leonardo Robol 01 Dec '20

01 Dec '20

Speaker: Fabio Durastante Affiliation: IAC-CNR (...that will soon become University of Pisa) Time: Tuesday, 01/12/2020, 16:00 Title: (Sparse) Linear Algebra at the Extreme Scales Sparse linear algebra is essential for a wide variety of scientific applications. The availability of highly parallel sparse solvers and preconditioners lies at the core of pretty much all multi-physics and multi-scale simulations. Technology is nowadays expanding to target exascale platforms. I am going to present some work on Algebraic Multigrid Preconditioners in which we try to face these challenges to make Exascale Computing possible. The talk will focus on one side on the theoretical aspects pertaining to the construction of the multigrid hierarchy for which the main novelty is the design and implementation of new parallel smoothers and a coarsening algorithm based on aggregation of unknowns employing weighted graph matching techniques. On the other, the talk also focuses on the libraries developed to cover the needs of having parallel BLAS feature for sparse matrices that are capable of running on machines with thousands of high-performance cores; and to discuss the advancements made by the new smoothers and coarsening algorithm as an improvement in terms of numerical scalability at low operator complexity over the algorithms available in previous releases of the package. I will present weak scalability results on two of the most powerful supercomputers in Europe, for linear systems with sizes up to O(10^10) unknowns for a benchmark Poisson problem, and strong scaling result for a wind-simulation benchmark problem. This is a joint work with P. D’Ambra, and S. Filippone. This work is supported by the EU under the Horizon 2020 Project Energy oriented Centre of Excellence: toward exascale for energy (EoCoE-II), Project ID: 824158 Meeting link: <https://hausdorff.dm.unipi.it/b/leo-xik-xu4>

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NOMADS seminar @GSSI - Wed 2 - Martin Stoll
by Francesco Tudisco 30 Nov '20

30 Nov '20

Dear all, You are all invited to this week's NOMADS seminar at GSSI. The seminar will be given by Martin Stoll from TU-Chemnitz (Germany). Title, abstract and zoom link are below. Further info about past and future meetings are available at the webpage: https://num-gssi.github.io/seminar/ Please feel free to distribute this announcement as you see fit. Hope to see you all on Wednesday! Francesco and Nicola ================================================== Title: From PDEs to data science: an adventure with the graph Laplacian Abstract: In this talk we briefly review some basic PDE models that are used to model phase separation in materials science. They have since become important tools in image processing and over the last years semi-supervised learning strategies could be implemented with these PDEs at the core. The main ingredient is the graph Laplacian that stems from a graph representation of the data. This matrix is large and typically dense. We illustrate some of its crucial features and show how to efficiently work with the graph Laplacian. In particular, we need some of its eigenvectors and for this the Lanczos process needs to be implemented efficiently. Here, we suggest the use of the NFFT method for evaluating the matrix vector products without even fully constructing the matrix. We illustrate the performance on several examples. Zoom: https://us02web.zoom.us/j/81317396646 — Francesco Tudisco Assistant Professor School of Mathematics GSSI Gran Sasso Science Institute Web: https://ftudisco.gitlab.io -- You received this message because you are subscribed to the Google Groups "nomads-list" group. To unsubscribe from this group and stop receiving emails from it, send an email to nomads-list+unsubscribe(a)gssi.it. To view this discussion on the web visit https://groups.google.com/a/gssi.it/d/msgid/nomads-list/c28372f5-7312-f490-…. For more options, visit https://groups.google.com/a/gssi.it/d/optout.

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You have been added to nomads-list
by nomads-list 30 Nov '20

30 Nov '20

Hi numpi(a)di.unipi.it, francesco.tudisco(a)gssi.it added you to the group nomads-list. https://groups.google.com/a/gssi.it/d/forum/nomads-list About this group: Mailing list for nomads seminar @gssi Google Groups allows you to create and participate in online forums and email-based groups with a rich community experience. You can also use your Group to share documents, pictures, calendars, invitations and other resources. If you do not wish to be a member of this group or believe that this group may contain spam: * You can unsubscribe from this group at https://groups.google.com/a/gssi.it/d/forum/nomads-list/unsubscribe/AHZ7KVN… or by sending an email to nomads-list+unsubscribe(a)gssi.it * You can report this group for abuse at https://groups.google.com/a/gssi.it/d/abuse/AJmrmCv0R3hRW4gfW4hkqLtrztlR3zN… * You can opt out of all future Google Groups activity at https://groups.google.com/a/gssi.it/d/optout Visit the Google Groups Help Centre at https://support.google.com/groups/answer/46601?hl=en_GB.

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Scomparsa Prof. Alfonso Laratta
by Paolo ghelardoni 27 Nov '20

27 Nov '20

Cari tutti, ho appena ricevuto da Luca Zanni la mail che segue. Io non sono piu' iscritto al GNCS. Se qualcuno di voi vuole prendere accordi con Luca per fare la comunicazione al GNCS, nella mail e' riportato anche il suo numero di cellulare. Ciao Paolo -------- Messaggio Inoltrato -------- Oggetto: scomparsa Prof. Alfonso Laratta Data: Fri, 27 Nov 2020 08:30:56 +0100 Mittente: Luca ZANNI <luca.zanni(a)unimore.it> Organizzazione: Università di Modena e Reggio Emilia A: menchi(a)di.unipi.it, paolo.ghelardoni(a)unipi.it Cari Ornella e Paolo, mi rivolgo a voi perchè sono certo che avevate avuto collaborazioni con Alfonso. Ieri pomeriggio ho saputo della sua scomparsa e sicuramente ne sarete a conoscenza anche voi. Ho fatto un avviso per il mio dipartimento e pensavo di fare una comunicazione anche al GNCS, magari insieme a qualche collega di Pisa, visto che l'attività di Alfonso si divise tra le due sedi. Cosa ne dite? Vi lascio il mio cellulare nel caso servisse sentirsi: 331 6074422 Un caro saluto L. -- ********************************************************************* * Prof. Luca Zanni * office: +39 059 2055206 * * Dipartimento di Scienze Fisiche, Informatiche e Matematiche * * Universita' di Modena e Reggio Emilia * fax: +39 059 2055216 * * Via Campi, 213/b * * 41125 - Modena - ITALY * e-mail: luca.zanni(a)unimore.it * ********************************************************************* -- Paolo Ghelardoni Dipartimento di Matematica Sede -- Via Buonarroti 1/C 56127 Pisa (Italia) Tel: +39 050 2213867 E-mail: paolo.ghelardoni(a)unipi.it Home Page: http://pagine.dm.unipi.it/ghelardoni

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Next NumPi Seminar (Doodle)
by Leonardo Robol 25 Nov '20

25 Nov '20

Dear all, next week Fabio Durastante, which will soon officially join the Department of Mathematics, will give a talk in the NumPi series. Some of you recently told me that the usual time slot (Tue 11:00 -- 12:00) does not work well anymore, due to new teaching obligations. Hence, I am preparing a new Doodle to evaluate changing the day and time of the seminar for this (and possibly the next) seminar; I am kindly asking if you could fill in the Doodle by Friday, so I can then make a decision and send the announcement. Here is the link for the Doodle: https://doodle.com/poll/5uq983z7s686qdp6 Thanks! Best wishes, -- Leonardo Robol.

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Seminar on 17/11 (Francesco Tudisco)
by Leonardo Robol 17 Nov '20

17 Nov '20

Speaker: Francesco Tudisco Affiliation: GSSI Time: Tuesday, 17/11/2020, 11:00 Meeting link: https://hausdorff.dm.unipi.it/b/leo-xik-xu4 Title: A tensor method for semi-supervised learning Semi-supervised learning is the problem of finding clusters in a graph or a point-clould dataset where we are given "few" initial input labels. Label Spreading (LS) is a standard technique for this problem, which can be interpreted as a diffusion process of the labels on the graph. While there are many variants of LS, nearly all of them are linear models which, for every node, only account for the information incoming from its direct neighbors. Recent work in network science has shown that in many graph algorithms a great advantage can be obtained when accounting directly for higher-order features. Such features may be built from the point-cloud data or the adjacency matrix, for example by considering a triangle involving nodes i, j and k. In other contexts, higher-order information appears explicitly, for example, in a coauthorship network, a document with three authors forms a natural triangle. After reviewing the original LS algorithm I will present our proposed variation of it, which takes directly advantage of higher-order information. A key point of the proposed method is that we replace the standard Laplacian matrix with a nonlinear Laplacian-inspired map which is defined in terms of a order-three tensor. Just like standard LS, we can show convergence of the new nonlinear diffusion process to the gloabal minimum of a constrained semi-supervised loss function that enforces local and global consistency with the input labels. We demonstrate the efficiency and efficacy of our approach on a variety of point cloud and network datasets, where the proposed model outperforms classical label spreading, hypergraph clustering methods, and graph neural networks. I will also point out some open problems related to both the modeling part and the computational one. https://www.dm.unipi.it/webnew/it/seminari/tensor-method-semi-supervised-le…

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