Neural Networks Trained to Solve Differential Equations Learn General Representations

29 June 2018

Papers citing "Neural Networks Trained to Solve Differential Equations Learn General Representations"

13 / 13 papers shown

Title
Approximation of Solution Operators for High-dimensional PDEs Nathan Gaby Xiaojing Ye 30 0 0 18 Jan 2024
Revisiting Hidden Representations in Transfer Learning for Medical Imaging Dovile Juodelyte Amelia Jiménez-Sánchez V. Cheplygina OOD 19 1 0 16 Feb 2023
When Physics Meets Machine Learning: A Survey of Physics-Informed Machine Learning Chuizheng Meng Sungyong Seo Defu Cao Sam Griesemer Yan Liu PINN AI4CE 51 57 0 31 Mar 2022
Interpolating between BSDEs and PINNs: deep learning for elliptic and parabolic boundary value problems Nikolas Nusken Lorenz Richter PINN DiffM 31 27 0 07 Dec 2021
Feature Engineering with Regularity Structures I. Chevyrev A. Gerasimovičs H. Weber 32 10 0 12 Aug 2021
Elvet -- a neural network-based differential equation and variational problem solver Jack Y. Araz J. C. Criado M. Spannowsky 26 13 0 26 Mar 2021
An overview on deep learning-based approximation methods for partial differential equations C. Beck Martin Hutzenthaler Arnulf Jentzen Benno Kuckuck 30 146 0 22 Dec 2020
Physics-informed Neural-Network Software for Molecular Dynamics Applications Taufeq Mohammed Razakh Beibei Wang Shane Jackson R. Kalia A. Nakano K. Nomura P. Vashishta PINN 24 11 0 06 Nov 2020
Space-time deep neural network approximations for high-dimensional partial differential equations F. Hornung Arnulf Jentzen Diyora Salimova AI4CE 29 19 0 03 Jun 2020
Uniform error estimates for artificial neural network approximations for heat equations Lukas Gonon Philipp Grohs Arnulf Jentzen David Kofler David Siska 29 34 0 20 Nov 2019
Space-time error estimates for deep neural network approximations for differential equations Philipp Grohs F. Hornung Arnulf Jentzen Philipp Zimmermann 29 33 0 11 Aug 2019
Deep splitting method for parabolic PDEs C. Beck S. Becker Patrick Cheridito Arnulf Jentzen Ariel Neufeld 23 125 0 08 Jul 2019
Transfusion: Understanding Transfer Learning for Medical Imaging M. Raghu Chiyuan Zhang Jon M. Kleinberg Samy Bengio MedIm 30 972 0 14 Feb 2019