TY  - UNPB
ID  - dl3-c02-1
TI  - Fourier Neural Operator for Parametric Partial Differential Equations
AU  - Zongyi Li
AU  - Nikola Kovachki
AU  - Kamyar Azizzadenesheli
AU  - Burigede Liu
AU  - Kaushik Bhattacharya
AU  - Andrew Stuart
AU  - Anima Anandkumar
PY  - 2020
T2  - arXiv author manuscript
UR  - https://arxiv.org/abs/2010.08895
N1  - Primary author record title, complete author list, submission history and abstract inspected through web tools on 2026-10-28. Full proof and benchmark execution not independently checked.
ER  - 

TY  - UNPB
ID  - dl3-c02-2
TI  - Neural Operator: Learning Maps Between Function Spaces
AU  - Nikola Kovachki
AU  - Zongyi Li
AU  - Burigede Liu
AU  - Kamyar Azizzadenesheli
AU  - Kaushik Bhattacharya
AU  - Andrew Stuart
AU  - Anima Anandkumar
PY  - 2021
T2  - arXiv author manuscript
UR  - https://arxiv.org/abs/2108.08481
N1  - Primary author record title, complete author list, submission history and abstract inspected through web tools on 2026-10-28. Full proof and benchmark execution not independently checked.
ER  - 

TY  - UNPB
ID  - dl3-c02-3
TI  - DeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators
AU  - Lu Lu
AU  - Pengzhan Jin
AU  - George Em Karniadakis
PY  - 2019
T2  - arXiv author manuscript
UR  - https://arxiv.org/abs/1910.03193
N1  - Primary author record title, complete author list, submission history and abstract inspected through web tools on 2026-10-28. Full proof and benchmark execution not independently checked.
ER  - 

TY  - UNPB
ID  - dl3-c02-4
TI  - Error estimates for DeepOnets: A deep learning framework in infinite dimensions
AU  - Samuel Lanthaler
AU  - Siddhartha Mishra
AU  - George Em Karniadakis
PY  - 2021
T2  - arXiv author manuscript
UR  - https://arxiv.org/abs/2102.09618
N1  - Primary author record title, complete author list, submission history and abstract inspected through web tools on 2026-10-28. Full proof and benchmark execution not independently checked.
ER  - 

TY  - UNPB
ID  - dl3-c02-5
TI  - Representation Equivalent Neural Operators: a Framework for Alias-free Operator Learning
AU  - Francesca Bartolucci
AU  - Emmanuel de Bézenac
AU  - Bogdan Raonić
AU  - Roberto Molinaro
AU  - Siddhartha Mishra
AU  - Rima Alaifari
PY  - 2023
T2  - arXiv author manuscript
UR  - https://arxiv.org/abs/2305.19913
N1  - Primary author record title, complete author list, submission history and abstract inspected through web tools on 2026-10-28. Full proof and benchmark execution not independently checked.
ER  - 

TY  - UNPB
ID  - dl3-c02-6
TI  - Convolutional Neural Operators for robust and accurate learning of PDEs
AU  - Bogdan Raonić
AU  - Roberto Molinaro
AU  - Tim De Ryck
AU  - Tobias Rohner
AU  - Francesca Bartolucci
AU  - Rima Alaifari
AU  - Siddhartha Mishra
AU  - Emmanuel de Bézenac
PY  - 2023
T2  - arXiv author manuscript
UR  - https://arxiv.org/abs/2302.01178
N1  - Primary author record title, complete author list, submission history and abstract inspected through web tools on 2026-10-28. Full proof and benchmark execution not independently checked.
ER  -