Neural operators struggle to learn complex PDEs in pedestrian mobility: Hughes model case study

v1v2 (latest)

Neural operators struggle to learn complex PDEs in pedestrian mobility: Hughes model case study

25 April 2025

Prajwal Chauhan

Salah Eddine Choutri

Mohamed Ghattassi

Saif Eddin Jabari

ArXiv (abs)PDF HTML

Papers citing "Neural operators struggle to learn complex PDEs in pedestrian mobility: Hughes model case study"

9 / 9 papers shown

Title
Fourier neural operator for learning solutions to macroscopic traffic flow models: Application to the forward and inverse problems Bilal Thonnam Thodi Sai Venkata Ramana Ambadipudi Saif Eddin Jabari AI4CE 82 13 0 14 Aug 2023
Learning-based solutions to nonlinear hyperbolic PDEs: Empirical insights on generalization errors Bilal Thonnam Thodi Sai Venkata Ramana Ambadipudi Saif Eddin Jabari AI4CE 49 6 0 16 Feb 2023
Wavelet neural operator: a neural operator for parametric partial differential equations Tapas Tripura S. Chakraborty 84 69 0 04 May 2022
Pseudo-Differential Neural Operator: Generalized Fourier Neural Operator for Learning Solution Operators of Partial Differential Equations J. Shin Jae Yong Lee H. Hwang 59 3 0 28 Jan 2022
Multiwavelet-based Operator Learning for Differential Equations Gaurav Gupta Xiongye Xiao P. Bogdan 198 220 0 28 Sep 2021
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 522 2,456 0 18 Oct 2020
Multipole Graph 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 230 395 0 16 Jun 2020
Neural Operator: Graph Kernel Network for Partial Differential Equations Zong-Yi Li Nikola B. Kovachki Kamyar Azizzadenesheli Burigede Liu K. Bhattacharya Andrew M. Stuart Anima Anandkumar 208 749 0 07 Mar 2020
DeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators Lu Lu Pengzhan Jin George Karniadakis 248 2,162 0 08 Oct 2019