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2405.09285
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Positional Knowledge is All You Need: Position-induced Transformer (PiT) for Operator Learning
15 May 2024
Junfeng Chen
Kailiang Wu
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ArXiv
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Papers citing
"Positional Knowledge is All You Need: Position-induced Transformer (PiT) for Operator Learning"
5 / 5 papers shown
Title
Nonlinear Reconstruction for Operator Learning of PDEs with Discontinuities
S. Lanthaler
Roberto Molinaro
Patrik Hadorn
Siddhartha Mishra
37
24
0
03 Oct 2022
Variationally Mimetic Operator Networks
Dhruv V. Patel
Deep Ray
M. Abdelmalik
T. Hughes
Assad A. Oberai
41
23
0
26 Sep 2022
Fourier Neural Operator with Learned Deformations for PDEs on General Geometries
Zong-Yi Li
Daniel Zhengyu Huang
Burigede Liu
Anima Anandkumar
AI4CE
108
246
0
11 Jul 2022
Multiwavelet-based Operator Learning for Differential Equations
Gaurav Gupta
Xiongye Xiao
P. Bogdan
124
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
203
2,272
0
18 Oct 2020
1