Machine Learning–Enhanced Polytopal Finite Element Methods

Machine Learning–Enhanced Polytopal Finite Element Methods Paola F. Antonietti (MOX, Politecnico di Milano) Abstract: This talk explores the integration of Machine Learning (ML) techniques into polytopal Finite Element Methods for the numerical discretization of Partial Differential Equations, to improve accuracy, flexibility, and computational efficiency while addressing the challenges inherent in complex real-world applications, particularly in…

06 Ott

16:00 - 17:00

Sala conferenze IMATI-CNR

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Sharp Uniform-in-Time Propagation of Chaos for the Kac model of a Maxwellian gas

Sharp Uniform-in-Time Propagation of Chaos for the Kac model of a Maxwellian gas Emanuele Dolera (Università di Pavia) Abstract: We establish a uniform-in-time propagation of chaos (POC) with the optimal quantitative rate $O(1/N)$ for any $k$-marginal of the Kac $N$-particle Markov process on the energy sphere $\mathbb{S}^{N-1}(\sqrt{N})$. Throughout, we refer to the Kac process as…

26 Mag

15:00 - 16:00

Aula Beltrami

Dipartimento di Matematica, Piano A

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Composable software for distributed GPU linear algebra

Composable software for distributed GPU linear algebra Pratik Nayak (Technical University of Munich) Abstract: Modern simulation codes increasingly demand linear solvers that are simultaneously distributed, GPU-resident, and flexible enough to mix and match algorithmic components. In this talk, we argue that composability, the design choice that lets any linear operator play any role, whether as…

26 Mag

14:00 - 15:00

Aula Beltrami

Dipartimento di Matematica, Piano A

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Unique continuation from the boundary for the spectral fractional Laplacian

Unique continuation from the boundary for the spectral fractional Laplacian Alessandra De Luca (Università di Milano Bicocca) Abstract: After a brief introduction to the unique continuation principle, I will discuss its validity at the boundary for a class of nonlocal elliptic equations driven by the spectral fractional Laplacian $(-\Delta_D)^s$, defined via fractional powers of the…

19 Mag

15:00 - 16:00

Aula Beltrami

Dipartimento di Matematica, Piano A

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Block Coordinate Plug-and-Play Algorithms for Image Restoration

 Block Coordinate Plug-and-Play Algorithms for Image Restoration Simone Rebegoldi (Università di Modena e Reggio Emilia) Abstract: Plug-and-Play (PnP) algorithms represent a powerful and innovative paradigm for solving inverse problems in computational imaging. These methods replace the usual explicit regularization step with an implicit step, implemented by means of a denoising algorithm. In the last decade, PnP methods have achieved state-of-the-art results in several…

12 Mag

15:00 - 16:00

Aula Beltrami

Dipartimento di Matematica, Piano A

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Swarm-Based Gradient Descent: A Multi-Agent Approach for Non-Convex Optimization

Swarm-Based Gradient Descent: A Multi-Agent Approach for Non-Convex Optimization Eitan Tadmor (University of Maryland, College Park) Abstract: We discuss a novel class of swarm-based gradient descent (SBGD) methods for non-convex optimization. The swarm consists of agents, each is identified with position, x, and mass, m.  There are two key ingredients in the SBGD dynamics: (i) persistent transition of mass…

12 Mag

14:00 - 15:00

Aula Beltrami

Dipartimento di Matematica, Piano A

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On the blow-up of the vectorial Bernoulli free boundary problem

On the blow-up of the vectorial Bernoulli free boundary problem Giovanni Siclari (Università di Pisa) Abstract: In this talk, we discuss the classification of the blow-up limits of minimizers of the vectorial Bernoulli free boundary problem in a bounded box $D$ at branching points. It is known that the blow-up limits are linear and global…

28 Apr

15:00 - 16:00

Sala conferenze IMATI-CNR

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New advances in some nonlinear anisotropic diffusion equations

New advances in some nonlinear anisotropic diffusion equations Bruno Volzone (Politecnico di Milano) Abstract: In this talk we describe several aspects related to the theory of some anisotropic parabolic equations. The anisotropy shown in such equations will appear in the form of porous medium, in the fast and porous medium diffusion regime. In particular, we…

21 Apr

15:00 - 16:00

Aula Beltrami

Dipartimento di Matematica, Piano A

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Data-efficient uncertainty quantification and optimization of electronic systems using machine learning

Data-efficient uncertainty quantification and optimization of electronic systems using machine learning Paolo Manfredi (Politecnico di Torino) Abstract: This talk provides an overview over the utilization of Gaussian process regression (GPR) for the data-efficient uncertainty quantification, yield analysis, and optimization of electronic systems. GPR, also known as Kriging, is a nonparametric method belonging to the class…

14 Apr

15:00 - 16:00

Sala conferenze IMATI-CNR

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The role of surrogate models in applied problems: bread leavening and fluid dynamics

The role of surrogate models in applied problems: bread leavening and fluid dynamics Laura Rinaldi, CNR-IMATI Abstract: The demand for efficient surrogate models has become central to addressing complex problems across scientific and technological domains, including inverse problems, data assimilation, and real‑time monitoring. In this seminar, I will discuss the role of surrogate models in…

17 Mar

14:00 - 15:00

Sala conferenze IMATI-CNR

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On the Euler equations with in-flow and out-flow boundary conditions

On the Euler equations with in-flow and out-flow boundary conditions Anna Mazzucato (Penn State University, USA) Abstract:  I will discuss recent results concerning the well-posedness and regularity for the incompressible Euler equations when in-flow and out-flow  boundary conditions are imposed on parts of the boundary. If time permits, I will discuss some applications to the…

10 Mar

15:00 - 16:00

Sala conferenze IMATI-CNR

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Proximal methods in the Wasserstein space: links and differences from the Hilbert case

Proximal methods in the Wasserstein space: links and differences from the Hilbert case Emanuele Naldi (Università di Genova) Abstract: In this talk, we revisit the proximal point method, known in the Wasserstein setting as the Jordan–Kinderlehrer–Otto (JKO) scheme. While the classical JKO scheme assumes exact minimization at each step, practical implementations rely on approximate solutions…

03 Mar

15:00 - 16:00

Aula Beltrami

Dipartimento di Matematica, Piano A

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