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Kernel Methods are Competitive for Operator Learning

Kernel Methods are Competitive for Operator Learning

26 April 2023
Pau Batlle
Matthieu Darcy
Bamdad Hosseini
H. Owhadi
ArXivPDFHTML

Papers citing "Kernel Methods are Competitive for Operator Learning"

11 / 11 papers shown
Title
Learning cardiac activation and repolarization times with operator learning
Learning cardiac activation and repolarization times with operator learning
Edoardo Centofanti
Giovanni Ziarelli
N. Parolini
Simone Scacchi
M. Verani
Luca Franco Pavarino
AI4CE
31
0
0
13 May 2025
Data-Efficient Kernel Methods for Learning Differential Equations and Their Solution Operators: Algorithms and Error Analysis
Data-Efficient Kernel Methods for Learning Differential Equations and Their Solution Operators: Algorithms and Error Analysis
Yasamin Jalalian
Juan Felipe Osorio Ramirez
Alexander W. Hsu
Bamdad Hosseini
H. Owhadi
48
0
0
02 Mar 2025
Linearization Turns Neural Operators into Function-Valued Gaussian Processes
Linearization Turns Neural Operators into Function-Valued Gaussian Processes
Emilia Magnani
Marvin Pfortner
Tobias Weber
Philipp Hennig
UQCV
71
1
0
07 Jun 2024
Spectral Truncation Kernels: Noncommutativity in $C^*$-algebraic Kernel Machines
Spectral Truncation Kernels: Noncommutativity in C∗C^*C∗-algebraic Kernel Machines
Yuka Hashimoto
Ayoub Hafid
Masahiro Ikeda
Hachem Kadri
41
1
0
28 May 2024
Ensemble and Mixture-of-Experts DeepONets For Operator Learning
Ensemble and Mixture-of-Experts DeepONets For Operator Learning
Ramansh Sharma
Varun Shankar
60
0
0
20 May 2024
Invertible Fourier Neural Operators for Tackling Both Forward and Inverse Problems
Invertible Fourier Neural Operators for Tackling Both Forward and Inverse Problems
Da Long
Zhitong Xu
Qiwei Yuan
Yin Yang
Shandian Zhe
AI4CE
82
5
0
18 Feb 2024
Gaussian process learning of nonlinear dynamics
Gaussian process learning of nonlinear dynamics
Dongwei Ye
Mengwu Guo
23
4
0
19 Dec 2023
Computational Hypergraph Discovery, a Gaussian Process framework for
  connecting the dots
Computational Hypergraph Discovery, a Gaussian Process framework for connecting the dots
Théo Bourdais
Pau Batlle
Xianjin Yang
Ricardo Baptista
Nicolas Rouquette
H. Owhadi
28
0
0
28 Nov 2023
Error Analysis of Kernel/GP Methods for Nonlinear and Parametric PDEs
Error Analysis of Kernel/GP Methods for Nonlinear and Parametric PDEs
Pau Batlle
Yifan Chen
Bamdad Hosseini
H. Owhadi
Andrew M. Stuart
34
17
0
08 May 2023
Improved architectures and training algorithms for deep operator
  networks
Improved architectures and training algorithms for deep operator networks
Sizhuang He
Hanwen Wang
P. Perdikaris
AI4CE
52
105
0
04 Oct 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
271
2,315
0
18 Oct 2020
1