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Towards a generalized limiter for nonlinear conservation laws through domain adaptation

The first part of the talk is about the design of parameter free limiter for hyperbolic conservation laws, which is agnostic to the mathematical model and underlying numerical method. A neural network...

On the L2-cohomology and spectral theory of certain singular spaces

Complex analytic spaces and more generally Thom-Mather stratified spaces provide an interesting class of singular spaces with a rich interaction of analysis, geometry and topology. The aim of this tal...

Reti Neurali Capaci

In questo seminario considereremo il modello di Hopfield, mostrando come possa rappresentare processi di memoria associativa e descrivendo i principali risultati rigorosi noti in letteratura. In parti...

L'uso di valutazioni standardizzate come strumento di ricerca: un'analisi verticale delle difficoltà in matematica.

Negli ultimi anni sono disponibili dati provenienti da valutazioni su larga scala di conoscenze e competenze degli studenti. È opportuno integrare i risultati e le evidenze che emergono da tali valuta...

Alcuni problemi teorici sul Reinforcement Learning

Il Reinforcement Learning ha attirato l’attenzione in numerose discipline per via della sua velocità nel risolvere problemi computazionalmente costosi. Anche nella teoria del controllo, vari esperti h...

Relative entropy and scaling limits of interacting particle systems (lecture I)

The relative entropy method was developed by H.T. Yau in the 90’s to study the hydrodynamics of the Ginzburg-Landau model, and then adapted to several different dynamics. In this course (2 lectures,...

Multivariate Reciprocal Inverse Gaussian Distributions: the Surprising Integrals of Supersymmetry

[The abstract contains formulas in latex , please see the Notiziario Settimanale]...

Relative entropy and scaling limits of interacting particle systems

We obtain product approximations to the law of particle systems with exclusion and Glauber dynamics in finite volume, by establishing a bound on the relative entropy between the law of the system and ...

Continuous-time Quantum Walks

Quantum analogs of classical random walks have been defined in quantum information theory as a useful concept to implement algorithms. Due to interference effects, statistical properties of quantum wa...

Mathematical modelling and methods in drug delivery systems

Si offre una panoramica della ricerca svolta su alcuni problemi di reazione-diffusione in ambito biomedico. In particolare si presentano alcuni modelli matematici per il trasporto del farmaco che diff...