A Deep Learning approach to Reduced Order Modelling of Parameter Dependent Partial Differential Equations

10 March 2021

Papers citing "A Deep Learning approach to Reduced Order Modelling of Parameter Dependent Partial Differential Equations"

14 / 14 papers shown

Title
Latent feedback control of distributed systems in multiple scenarios through deep learning-based reduced order models Matteo Tomasetto Francesco Braghin Andrea Manzoni OffRL AI4CE 91 0 0 13 Dec 2024
Real-time optimal control of high-dimensional parametrized systems by deep learning-based reduced order models Matteo Tomasetto Andrea Manzoni Francesco Braghin AI4CE 22 1 0 09 Sep 2024
On latent dynamics learning in nonlinear reduced order modeling N. Farenga S. Fresca Simone Brivio Andrea Manzoni AI4CE 34 1 0 27 Aug 2024
PTPI-DL-ROMs: pre-trained physics-informed deep learning-based reduced order models for nonlinear parametrized PDEs Simone Brivio S. Fresca Andrea Manzoni AI4CE 38 6 0 14 May 2024
TGPT-PINN: Nonlinear model reduction with transformed GPT-PINNs Yanlai Chen Yajie Ji A. Narayan Zhenli Xu PINN 32 2 0 06 Mar 2024
A practical existence theorem for reduced order models based on convolutional autoencoders N. R. Franco Simone Brugiapaglia AI4CE 31 4 0 01 Feb 2024
Generalization Error Guaranteed Auto-Encoder-Based Nonlinear Model Reduction for Operator Learning Hao Liu Biraj Dahal Rongjie Lai Wenjing Liao AI4CE 34 5 0 19 Jan 2024
Deep Learning-based surrogate models for parametrized PDEs: handling geometric variability through graph neural networks N. R. Franco S. Fresca Filippo Tombari Andrea Manzoni AI4CE 29 16 0 03 Aug 2023
Coupling parameter and particle dynamics for adaptive sampling in Neural Galerkin schemes Yuxiao Wen Eric Vanden-Eijnden Benjamin Peherstorfer 24 12 0 27 Jun 2023
A Note on Dimensionality Reduction in Deep Neural Networks using Empirical Interpolation Method Harbir Antil Madhu Gupta Randy Price 13 2 0 16 May 2023
Reduced order modeling of parametrized systems through autoencoders and SINDy approach: continuation of periodic solutions Paolo Conti G. Gobat S. Fresca Andrea Manzoni A. Frangi AI4CE 26 49 0 13 Nov 2022
Non-linear manifold ROM with Convolutional Autoencoders and Reduced Over-Collocation method F. Romor G. Stabile G. Rozza 15 23 0 01 Mar 2022
Deep-HyROMnet: A deep learning-based operator approximation for hyper-reduction of nonlinear parametrized PDEs Ludovica Cicci S. Fresca Andrea Manzoni AI4CE 14 25 0 05 Feb 2022
Long-time prediction of nonlinear parametrized dynamical systems by deep learning-based reduced order models Federico Fatone S. Fresca Andrea Manzoni AI4TS 25 16 0 25 Jan 2022