Data driven approximation of parametrized PDEs by Reduced Basis and Neural Networks

2 April 2019

Papers citing "Data driven approximation of parametrized PDEs by Reduced Basis and Neural Networks"

13 / 13 papers shown

Title
Adaptive Multilevel Neural Networks for Parametric PDEs with Error Estimation Janina Enrica Schutte Martin Eigel AI4CE 27 2 0 19 Mar 2024
Addressing Discontinuous Root-Finding for Subsequent Differentiability in Machine Learning, Inverse Problems, and Control Dan Johnson Ronald Fedkiw AI4CE 21 2 0 21 Jun 2023
Neuro-symbolic partial differential equation solver Pouria A. Mistani Samira Pakravan Rajesh Ilango S. Choudhry Frédéric Gibou 26 1 0 25 Oct 2022
JAX-DIPS: Neural bootstrapping of finite discretization methods and application to elliptic problems with discontinuities Pouria A. Mistani Samira Pakravan Rajesh Ilango Frédéric Gibou 16 8 0 25 Oct 2022
AI-enhanced iterative solvers for accelerating the solution of large scale parametrized systems Stefanos Nikolopoulos I. Kalogeris V. Papadopoulos G. Stavroulakis 16 11 0 06 Jul 2022
Learning To Estimate Regions Of Attraction Of Autonomous Dynamical Systems Using Physics-Informed Neural Networks Cody Scharzenberger Joe Hays 32 3 0 18 Nov 2021
Short-term traffic prediction using physics-aware neural networks M. Pereira Annika Lang Balázs Kulcsár 26 20 0 21 Sep 2021
Data-Driven Constitutive Relation Reveals Scaling Law for Hydrodynamic Transport Coefficients Candi Zheng Yang Wang Shiying Chen 9 4 0 01 Aug 2021
Choose a Transformer: Fourier or Galerkin Shuhao Cao 34 220 0 31 May 2021
Deep Neural Networks Are Effective At Learning High-Dimensional Hilbert-Valued Functions From Limited Data Ben Adcock Simone Brugiapaglia N. Dexter S. Moraga 34 29 0 11 Dec 2020
Learning continuous-time PDEs from sparse data with graph neural networks V. Iakovlev Markus Heinonen Harri Lähdesmäki AI4CE 13 68 0 16 Jun 2020
A Theoretical Analysis of Deep Neural Networks and Parametric PDEs Gitta Kutyniok P. Petersen Mones Raslan R. Schneider 15 197 0 31 Mar 2019
Convolutional Neural Networks for Sentence Classification Yoon Kim AILaw VLM 252 13,364 0 25 Aug 2014