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

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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

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

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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 47 6 0 16 Feb 2023
Wavelet neural operator: a neural operator for parametric partial differential equations Tapas Tripura S. Chakraborty 84 68 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