Deep Learning Methods for Partial Differential Equations and Related
Parameter Identification Problems

Deep Learning Methods for Partial Differential Equations and Related Parameter Identification Problems

6 December 2022

Derick Nganyu Tanyu

Tom Freudenberg

Nick Heilenkötter

Papers citing "Deep Learning Methods for Partial Differential Equations and Related Parameter Identification Problems"

14 / 14 papers shown

Title
Good Things Come in Pairs: Paired Autoencoders for Inverse Problems Matthias Chung B. Peters Michael Solomon 34 0 0 10 May 2025
Inverse Problems with Learned Forward Operators Simon Arridge Andreas Hauptmann Yury Korolev 31 1 0 21 Nov 2023
A Direct Sampling-Based Deep Learning Approach for Inverse Medium Scattering Problems Jianfeng Ning Fuqun Han Jun Zou 26 11 0 29 Apr 2023
Monte Carlo Neural PDE Solver for Learning PDEs via Probabilistic Representation Rui Zhang Qi Meng Rongchan Zhu Yue Wang Wenlei Shi Shihua Zhang Zhi-Ming Ma Tie-Yan Liu DiffM AI4CE 44 4 0 10 Feb 2023
Fourier Neural Operator with Learned Deformations for PDEs on General Geometries Zong-Yi Li Daniel Zhengyu Huang Burigede Liu Anima Anandkumar AI4CE 113 249 0 11 Jul 2022
Variable-Input Deep Operator Networks Michael Prasthofer Tim De Ryck Siddhartha Mishra 42 23 0 23 May 2022
Towards Size-Independent Generalization Bounds for Deep Operator Nets Pulkit Gopalani Sayar Karmakar Dibyakanti Kumar Anirbit Mukherjee AI4CE 24 5 0 23 May 2022
Improved architectures and training algorithms for deep operator networks Sifan Wang Hanwen Wang P. Perdikaris AI4CE 47 105 0 04 Oct 2021
Multiwavelet-based Operator Learning for Differential Equations Gaurav Gupta Xiongye Xiao P. Bogdan 126 200 0 28 Sep 2021
Physics-based Deep Learning Nils Thuerey Philipp Holl P. Holl Patrick Schnell Felix Trost Kiwon Um P. Schnell F. Trost PINN AI4CE 53 92 0 11 Sep 2021
Physics-informed neural networks with hard constraints for inverse design Lu Lu R. Pestourie Wenjie Yao Zhicheng Wang F. Verdugo Steven G. Johnson PINN 39 494 0 09 Feb 2021
On the eigenvector bias of Fourier feature networks: From regression to solving multi-scale PDEs with physics-informed neural networks Sifan Wang Hanwen Wang P. Perdikaris 131 438 0 18 Dec 2020
Fourier Neural Operator for Parametric Partial Differential Equations Zong-Yi Li Nikola B. Kovachki Kamyar Azizzadenesheli Burigede Liu K. Bhattacharya Andrew M. Stuart Anima Anandkumar AI4CE 205 2,282 0 18 Oct 2020
An algorithm for the principal component analysis of large data sets N. Halko P. Martinsson Y. Shkolnisky M. Tygert 60 277 0 30 Jul 2010