The Neural Network shifted-Proper Orthogonal Decomposition: a Machine
Learning Approach for Non-linear Reduction of Hyperbolic Equations

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The Neural Network shifted-Proper Orthogonal Decomposition: a Machine Learning Approach for Non-linear Reduction of Hyperbolic Equations

14 August 2021

Davide Papapicco

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Papers citing "The Neural Network shifted-Proper Orthogonal Decomposition: a Machine Learning Approach for Non-linear Reduction of Hyperbolic Equations"

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Title
Artificial Geographically Weighted Neural Network: A Novel Framework for Spatial Analysis with Geographically Weighted Layers Jianfei Cao Dongchao Wang 33 0 0 01 Apr 2025
GoRINNs: Godunov-Riemann Informed Neural Networks for Learning Hyperbolic Conservation Laws Dimitrios G. Patsatzis Mario di Bernardo L. Russo Constantinos Siettos AI4CE 41 2 0 29 Oct 2024
Distributed computing for physics-based data-driven reduced modeling at scale: Application to a rotating detonation rocket engine Ionut-Gabriel Farcas Rayomand P. Gundevia R. Munipalli Karen E. Willcox AI4CE 120 1 0 13 Jul 2024
TGPT-PINN: Nonlinear model reduction with transformed GPT-PINNs Yanlai Chen Yajie Ji A. Narayan Zhenli Xu PINN 67 4 0 06 Mar 2024
CoLoRA: Continuous low-rank adaptation for reduced implicit neural modeling of parameterized partial differential equations Jules Berman Benjamin Peherstorfer 91 10 0 22 Feb 2024
Symplectic model reduction of Hamiltonian systems using data-driven quadratic manifolds Harsh Sharma Hongliang Mu Patrick Buchfink R. Geelen Silke Glas Boris Kramer 75 28 0 24 May 2023
A DeepONet multi-fidelity approach for residual learning in reduced order modeling N. Demo M. Tezzele G. Rozza 79 21 0 24 Feb 2023
Towards a machine learning pipeline in reduced order modelling for inverse problems: neural networks for boundary parametrization, dimensionality reduction and solution manifold approximation A. Ivagnes N. Demo G. Rozza MedIm AI4CE 57 8 0 26 Oct 2022
A Continuous Convolutional Trainable Filter for Modelling Unstructured Data Dario Coscia L. Meneghetti N. Demo G. Stabile G. Rozza 69 8 0 24 Oct 2022
SVD Perspectives for Augmenting DeepONet Flexibility and Interpretability Simone Venturi T. Casey 131 42 0 27 Apr 2022
Non-linear manifold ROM with Convolutional Autoencoders and Reduced Over-Collocation method F. Romor G. Stabile G. Rozza 82 23 0 01 Mar 2022