activity
20202022
most citedA comprehensive deep learning-based approach to reduced order modeling of nonlinear time-dependent parametrized PDEs

5 citations · 11 across the 4 of their papers we have counts for

collaborators

6 papers

math.NA20221 cited

Efficient approximation of cardiac mechanics through reduced order modeling with deep learning-based operator approximation

Ludovica Cicci, Stefania Fresca, Andrea Manzoni +1

Reducing the computational time required by high-fidelity, full order models (FOMs) for the solution of problems in cardiac mechanics is crucial to allow the translation of patient…

math.NA20221 cited

Deep-HyROMnet: A deep learning-based operator approximation for hyper-reduction of nonlinear parametrized PDEs

Ludovica Cicci, Stefania Fresca, Andrea Manzoni

To speed-up the solution to parametrized differential problems, reduced order models (ROMs) have been developed over the years, including projection-based ROMs such as the reduced-…

math.NA20224 cited

Long-time prediction of nonlinear parametrized dynamical systems by deep learning-based reduced order models

Federico Fatone, Stefania Fresca, Andrea Manzoni

Deep learning-based reduced order models (DL-ROMs) have been recently proposed to overcome common limitations shared by conventional ROMs - built, e.g., exclusively through proper…

math.NA2021

POD-DL-ROM: enhancing deep learning-based reduced order models for nonlinear parametrized PDEs by proper orthogonal decomposition

Stefania Fresca, Andrea Manzoni

Deep learning-based reduced order models (DL-ROMs) have been recently proposed to overcome common limitations shared by conventional reduced order models (ROMs) - built, e.g., thro…

physics.comp-ph2020

Deep learning-based reduced order models in cardiac electrophysiology

Stefania Fresca, Andrea Manzoni, Luca Dedè +1

Predicting the electrical behavior of the heart, from the cellular scale to the tissue level, relies on the formulation and numerical approximation of coupled nonlinear dynamical s…

math.NA20205 cited

A comprehensive deep learning-based approach to reduced order modeling of nonlinear time-dependent parametrized PDEs

Stefania Fresca, Luca Dede, Andrea Manzoni

Traditional reduced order modeling techniques such as the reduced basis (RB) method (relying, e.g., on proper orthogonal decomposition (POD)) suffer from severe limitations when de…