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20142023
most citedMulti-fidelity regression using artificial neural networks: efficient approximation of parameter-dependent output quantities

130 citations · 579 across the 34 of their papers we have counts for

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Showing 2023Show all

4 papers · 1 filter

math.NA2023★ 1 cited

A staggered-in-time and non-conforming-in-space numerical framework for realistic cardiac electrophysiology outputs

Elena Zappon, Andrea Manzoni, Alfio Quarteroni

Computer-based simulations of non-invasive cardiac electrical outputs, such as electrocardiograms and body surface potential maps, usually entail severe computational costs due to…

math.NA2023

Deep Learning-based surrogate models for parametrized PDEs: handling geometric variability through graph neural networks

Nicola Rares Franco, Stefania Fresca, Filippo Tombari +1

Mesh-based simulations play a key role when modeling complex physical systems that, in many disciplines across science and engineering, require the solution of parametrized time-de…

math.NA2023

Error estimates for POD-DL-ROMs: a deep learning framework for reduced order modeling of nonlinear parametrized PDEs enhanced by proper orthogonal decomposition

Simone Brivio, Stefania Fresca, Nicola Rares Franco +1

POD-DL-ROMs have been recently proposed as an extremely versatile strategy to build accurate and reliable reduced order models (ROMs) for nonlinear parametrized partial differentia…

math.NA2023★ 2 cited

Uncertainty quantification for nonlinear solid mechanics using reduced order models with Gaussian process regression

Ludovica Cicci, Stefania Fresca, Mengwu Guo +2

Uncertainty quantification (UQ) tasks, such as sensitivity analysis and parameter estimation, entail a huge computational complexity when dealing with input-output maps involving t…