HAMLET: Graph Transformer Neural Operator for Partial Differential
Equations

HAMLET: Graph Transformer Neural Operator for Partial Differential Equations

5 February 2024

Andrey Bryutkin

Jiahao Huang

Guang Yang

Carola-Bibiane Schönlieb

Angelica E. Avilés-Rivero

Papers citing "HAMLET: Graph Transformer Neural Operator for Partial Differential Equations"

13 / 13 papers shown

Title
Graph ODEs and Beyond: A Comprehensive Survey on Integrating Differential Equations with Graph Neural Networks Ziqiang Liu Xiaoda Wang Bohan Wang Zijie Huang Carl Yang Wei-dong Jin AI4TS AI4CE 146 1 0 29 Mar 2025
Connecting the geometry and dynamics of many-body complex systems with message passing neural operators N. Gabriel N. Johnson George Em Karniadakis AI4CE 54 0 0 21 Feb 2025
Mamba Neural Operator: Who Wins? Transformers vs. State-Space Models for PDEs Chun-Wun Cheng Jiahao Huang Yi Zhang Guang Yang Carola-Bibiane Schonlieb Angelica I Aviles-Rivero Mamba AI4CE 90 2 0 03 Oct 2024
ConDiff: A Challenging Dataset for Neural Solvers of Partial Differential Equations Vladislav Trifonov Alexander Rudikov Oleg Iliev Ivan V. Oseledets Ekaterina A. Muravleva Ekaterina Muravleva DiffM AI4CE 33 0 0 07 Jun 2024
Universal Physics Transformers: A Framework For Efficiently Scaling Neural Operators Benedikt Alkin Andreas Fürst Simon Schmid Lukas Gruber Markus Holzleitner Johannes Brandstetter PINN AI4CE 45 8 0 19 Feb 2024
Specformer: Spectral Graph Neural Networks Meet Transformers Deyu Bo Chuan Shi Lele Wang Renjie Liao 71 80 0 02 Mar 2023
Clifford Neural Layers for PDE Modeling Johannes Brandstetter Rianne van den Berg Max Welling Jayesh K. Gupta AI4CE 62 80 0 08 Sep 2022
Fourier Neural Operator with Learned Deformations for PDEs on General Geometries Zong-Yi Li Daniel Zhengyu Huang Burigede Liu Anima Anandkumar AI4CE 119 251 0 11 Jul 2022
Physics-Embedded Neural Networks: Graph Neural PDE Solvers with Mixed Boundary Conditions Masanobu Horie Naoto Mitsume PINN AI4CE 29 23 0 24 May 2022
Multiwavelet-based Operator Learning for Differential Equations Gaurav Gupta Xiongye Xiao P. Bogdan 126 200 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 211 2,287 0 18 Oct 2020
Interaction Networks for Learning about Objects, Relations and Physics Peter W. Battaglia Razvan Pascanu Matthew Lai Danilo Jimenez Rezende Koray Kavukcuoglu AI4CE OCL PINN GNN 280 1,400 0 01 Dec 2016
U-Net: Convolutional Networks for Biomedical Image Segmentation Olaf Ronneberger Philipp Fischer Thomas Brox SSeg 3DV 294 75,834 0 18 May 2015