A comprehensive deep learning-based approach to reduced order modeling of nonlinear time-dependent parametrized PDEs S Fresca, L Dede’, A Manzoni Journal of Scientific Computing 87, 1-36, 2021 | 249 | 2021 |
POD-DL-ROM: enhancing deep learning-based reduced order models for nonlinear parametrized PDEs by proper orthogonal decomposition S Fresca, A Manzoni Computer Methods in Applied Mechanics and Engineering 388, 114181, 2022 | 216 | 2022 |
Deep learning-based reduced order models in cardiac electrophysiology S Fresca, A Manzoni, L Dedè, A Quarteroni PLOS ONE 15 (10), 1-32, 2020 | 70 | 2020 |
Real-time simulation of parameter-dependent fluid flows through deep learning-based reduced order models S Fresca, A Manzoni Fluids 6 (7), 2021 | 45 | 2021 |
POD-Enhanced Deep Learning-Based Reduced Order Models for the Real-Time Simulation of Cardiac Electrophysiology in the Left Atrium S Fresca, A Manzoni, L Dedè, A Quarteroni Frontiers in physiology, 1431, 2021 | 44 | 2021 |
Reduced order modeling of parametrized systems through autoencoders and SINDy approach: continuation of periodic solutions P Conti, G Gobat, S Fresca, A Manzoni, A Frangi Computer Methods in Applied Mechanics and Engineering 411, 116072, 2023 | 31 | 2023 |
Reduced order modeling of nonlinear microstructures through proper orthogonal decomposition G Gobat, A Opreni, S Fresca, A Manzoni, A Frangi Mechanical Systems and Signal Processing 171, 108864, 2022 | 30 | 2022 |
Deep-HyROMnet: A deep learning-based operator approximation for hyper-reduction of nonlinear parametrized PDEs L Cicci, S Fresca, A Manzoni Journal of Scientific Computing 93 (2), 57, 2022 | 29 | 2022 |
Deep learning‐based reduced order models for the real‐time simulation of the nonlinear dynamics of microstructures S Fresca, G Gobat, P Fedeli, A Frangi, A Manzoni International Journal for Numerical Methods in Engineering 123 (20), 4749-4777, 2022 | 29 | 2022 |
Approximation bounds for convolutional neural networks in operator learning NR Franco, S Fresca, A Manzoni, P Zunino Neural Networks 161, 129-141, 2023 | 25 | 2023 |
Efficient approximation of cardiac mechanics through reduced‐order modeling with deep learning‐based operator approximation L Cicci, S Fresca, A Manzoni, A Quarteroni International Journal for Numerical Methods in Biomedical Engineering 40 (1 …, 2024 | 15 | 2024 |
Uncertainty quantification for nonlinear solid mechanics using reduced order models with Gaussian process regression L Cicci, S Fresca, M Guo, A Manzoni, P Zunino Computers & Mathematics with Applications 149, 1-23, 2023 | 11 | 2023 |
Long-time prediction of nonlinear parametrized dynamical systems by deep learning-based reduced order models S Fresca, F Fatone, A Manzoni Mathematics in Engineering 5 (6), 1-36, 2023 | 11* | 2023 |
Error estimates for POD-DL-ROMs: a deep learning framework for reduced order modeling of nonlinear parametrized PDEs enhanced by proper orthogonal decomposition S Brivio, S Fresca, NR Franco, A Manzoni Advances in Computational Mathematics 50 (3), 33, 2024 | 9 | 2024 |
Projection-based reduced order models for parameterized nonlinear time-dependent problems arising in cardiac mechanics L Cicci, S Fresca, S Pagani, A Manzoni, A Quarteroni Mathematics in Engineering 5 (2), 1-38, 2023 | 9 | 2023 |
Reduced order modeling of nonlinear vibrating multiphysics microstructures with deep learning-based approaches G Gobat, S Fresca, A Manzoni, A Frangi Sensors 23 (6), 3001, 2023 | 8* | 2023 |
Deep learning-based surrogate models for parametrized PDEs: Handling geometric variability through graph neural networks NR Franco, S Fresca, F Tombari, A Manzoni Chaos: An Interdisciplinary Journal of Nonlinear Science 33 (12), 2023 | 7 | 2023 |
Reduced order modeling of the cardiac function across the scales L Cicci, S Fresca, E Zappon, S Pagani, F Regazzoni, A Manzoni, ... Reduced Order Models for the Biomechanics of Living Organs, 403-433, 2023 | 2 | 2023 |
Modelling the Periodic Response of Micro-Electromechanical Systems through Deep Learning-Based Approaches G Gobat, A Baronchelli, S Fresca, A Frangi Actuators 12 (7), 278, 2023 | 1 | 2023 |
Long-time prediction of nonlinear parametrized dynamical systems by deep learning-based ROMs S Fresca, F Fatone, A Manzoni The Symbiosis of Deep Learning and Differential Equations, 2021 | 1 | 2021 |