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Positional Knowledge is All You Need: Position-induced Transformer (PiT)
  for Operator Learning

Positional Knowledge is All You Need: Position-induced Transformer (PiT) for Operator Learning

15 May 2024
Junfeng Chen
Kailiang Wu
ArXivPDFHTML

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
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
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
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
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
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