GITO: Graph-Informed Transformer Operator for Learning Complex Partial Differential Equations

16 June 2025

Papers citing "GITO: Graph-Informed Transformer Operator for Learning Complex Partial Differential Equations"

29 / 29 papers shown

Title
Positional Knowledge is All You Need: Position-induced Transformer (PiT) for Operator Learning Junfeng Chen Kailiang Wu 63 4 0 15 May 2024
Scaling physics-informed hard constraints with mixture-of-experts N. Chalapathi Yiheng Du Aditi Krishnapriyan AI4CE 81 16 0 20 Feb 2024
HAMLET: Graph Transformer Neural Operator for Partial Differential Equations Andrey Bryutkin Jiahao Huang Zhongying Deng Guang Yang Carola-Bibiane Schönlieb Angelica E. Avilés-Rivero 73 8 0 05 Feb 2024
Transolver: A Fast Transformer Solver for PDEs on General Geometries Haixu Wu Huakun Luo Haowen Wang Jianmin Wang Mingsheng Long AI4CE 93 61 0 04 Feb 2024
A Sequential Meta-Transfer (SMT) Learning to Combat Complexities of Physics-Informed Neural Networks: Application to Composites Autoclave Processing Milad Ramezankhani A. Milani PINN 53 6 0 12 Aug 2023
Scalable Transformer for PDE Surrogate Modeling Zijie Li Dule Shu A. Farimani 92 84 0 27 May 2023
GPT-PINN: Generative Pre-Trained Physics-Informed Neural Networks toward non-intrusive Meta-learning of parametric PDEs Yanlai Chen Shawn Koohy PINN AI4CE 67 27 0 27 Mar 2023
Exphormer: Sparse Transformers for Graphs Hamed Shirzad A. Velingker B. Venkatachalam Danica J. Sutherland A. Sinop 56 117 0 10 Mar 2023
GNOT: A General Neural Operator Transformer for Operator Learning Zhongkai Hao Zhengyi Wang Hang Su Chengyang Ying Yinpeng Dong Songming Liu Ze Cheng Jian Song Jun Zhu AI4CE 70 192 0 28 Feb 2023
Continuous Spatiotemporal Transformers Antonio H. O. Fonseca E. Zappala J. O. Caro David van Dijk 63 8 0 31 Jan 2023
Fourier Neural Operator with Learned Deformations for PDEs on General Geometries Zong-Yi Li Daniel Zhengyu Huang Burigede Liu Anima Anandkumar AI4CE 169 276 0 11 Jul 2022
Transformer for Partial Differential Equations' Operator Learning Zijie Li Kazem Meidani A. Farimani 105 170 0 26 May 2022
Recipe for a General, Powerful, Scalable Graph Transformer Ladislav Rampášek Mikhail Galkin Vijay Prakash Dwivedi Anh Tuan Luu Guy Wolf Dominique Beaini 122 575 0 25 May 2022
MIONet: Learning multiple-input operators via tensor product Pengzhan Jin Shuai Meng Lu Lu 70 173 0 12 Feb 2022
Message Passing Neural PDE Solvers Johannes Brandstetter Daniel E. Worrall Max Welling AI4CE 90 288 0 07 Feb 2022
Predicting Physics in Mesh-reduced Space with Temporal Attention Xu Han Han Gao Tobias Pfaff Jian-Xun Wang Liping Liu AI4CE 60 81 0 22 Jan 2022
GraphiT: Encoding Graph Structure in Transformers Grégoire Mialon Dexiong Chen Margot Selosse Julien Mairal 106 170 0 10 Jun 2021
Choose a Transformer: Fourier or Galerkin Shuhao Cao 69 254 0 31 May 2021
How Attentive are Graph Attention Networks? Shaked Brody Uri Alon Eran Yahav GNN 119 1,084 0 30 May 2021
A Generalization of Transformer Networks to Graphs Vijay Prakash Dwivedi Xavier Bresson AI4CE 105 758 0 17 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 500 2,444 0 18 Oct 2020
Transformers for Modeling Physical Systems N. Geneva N. Zabaras AI4CE 65 145 0 04 Oct 2020
On the Bottleneck of Graph Neural Networks and its Practical Implications Uri Alon Eran Yahav GNN 91 694 0 09 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 202 748 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 2,150 0 08 Oct 2019
Graph networks as learnable physics engines for inference and control Alvaro Sanchez-Gonzalez N. Heess Jost Tobias Springenberg J. Merel Martin Riedmiller R. Hadsell Peter W. Battaglia GNN AI4CE PINN OCL 215 602 0 04 Jun 2018
Bayesian Deep Convolutional Encoder-Decoder Networks for Surrogate Modeling and Uncertainty Quantification Yinhao Zhu N. Zabaras UQCV BDL 111 646 0 21 Jan 2018
Attention Is All You Need Ashish Vaswani Noam M. Shazeer Niki Parmar Jakob Uszkoreit Llion Jones Aidan Gomez Lukasz Kaiser Illia Polosukhin 3DV 730 132,363 0 12 Jun 2017
PointNet++: Deep Hierarchical Feature Learning on Point Sets in a Metric Space C. Qi L. Yi Hao Su Leonidas Guibas 3DPC 3DV 360 11,139 0 07 Jun 2017