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Samuel Lanthaler

Orcid: 0000-0003-1911-246X

According to our database1, Samuel Lanthaler authored at least 19 papers between 2019 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

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Links

On csauthors.net:

Bibliography

2024
Generative AI for fast and accurate Statistical Computation of Fluids.
[BibTeX]
[DOI]
Roberto Molinaro
,
Samuel Lanthaler
,
Bogdan Raonic
,
Tobias Rohner
,
Victor Armegioiu
,
Zhong Yi Wan
,
Fei Sha
,
Siddhartha Mishra
,
Leonardo Zepeda-Núñez
CoRR, 2024

Operator Learning of Lipschitz Operators: An Information-Theoretic Perspective.
[BibTeX]
[DOI]
Samuel Lanthaler
CoRR, 2024

Data Complexity Estimates for Operator Learning.
[BibTeX]
[DOI]
Nikola B. Kovachki
,
Samuel Lanthaler
,
Hrushikesh Mhaskar
CoRR, 2024

Discretization Error of Fourier Neural Operators.
[BibTeX]
[DOI]
Samuel Lanthaler
,
Andrew M. Stuart
,
Margaret Trautner
CoRR, 2024

Operator Learning: Algorithms and Analysis.
[BibTeX]
[DOI]
Nikola B. Kovachki
,
Samuel Lanthaler
,
Andrew M. Stuart
CoRR, 2024

2023
Operator learning with PCA-Net: upper and lower complexity bounds.
[BibTeX]
[DOI]
Samuel Lanthaler
J. Mach. Learn. Res., 2023

The curse of dimensionality in operator learning.
[BibTeX]
[DOI]
Samuel Lanthaler
,
Andrew M. Stuart
CoRR, 2023

The Nonlocal Neural Operator: Universal Approximation.
[BibTeX]
[DOI]
Samuel Lanthaler
,
Zongyi Li
,
Andrew M. Stuart
CoRR, 2023

Neural Oscillators are Universal.
[BibTeX]
[DOI]
Samuel Lanthaler
,
T. Konstantin Rusch
,
Siddhartha Mishra
Proceedings of the Advances in Neural Information Processing Systems 36: Annual Conference on Neural Information Processing Systems 2023, 2023

Error Bounds for Learning with Vector-Valued Random Features.
[BibTeX]
[DOI]
Samuel Lanthaler
,
Nicholas H. Nelsen
Proceedings of the Advances in Neural Information Processing Systems 36: Annual Conference on Neural Information Processing Systems 2023, 2023

Nonlinear Reconstruction for Operator Learning of PDEs with Discontinuities.
[BibTeX]
[DOI]
Samuel Lanthaler
,
Roberto Molinaro
,
Patrik Hadorn
,
Siddhartha Mishra
Proceedings of the Eleventh International Conference on Learning Representations, 2023

2021
On the approximation of functions by tanh neural networks.
[BibTeX]
[DOI]
Tim De Ryck
,
Samuel Lanthaler
,
Siddhartha Mishra
Neural Networks, 2021

On Universal Approximation and Error Bounds for Fourier Neural Operators.
[BibTeX]
[DOI]
Nikola B. Kovachki
,
Samuel Lanthaler
,
Siddhartha Mishra
J. Mach. Learn. Res., 2021

On the well-posedness of Bayesian inversion for PDEs with ill-posed forward problems.
[BibTeX]
[DOI]
Samuel Lanthaler
,
Siddhartha Mishra
,
Franziska Weber
CoRR, 2021

Error estimates for DeepOnets: A deep learning framework in infinite dimensions.
[BibTeX]
[DOI]
Samuel Lanthaler
,
Siddhartha Mishra
,
George Em Karniadakis
CoRR, 2021

2020
On the Convergence of the Spectral Viscosity Method for the Two-Dimensional Incompressible Euler Equations with Rough Initial Data.
[BibTeX]
[DOI]
Samuel Lanthaler
,
Siddhartha Mishra
Found. Comput. Math., 2020

On concentration in vortex sheets.
[BibTeX]
[DOI]
Samuel Lanthaler
CoRR, 2020

On the conservation of energy in two-dimensional incompressible flows.
[BibTeX]
[DOI]
Samuel Lanthaler
,
Siddhartha Mishra
,
Carlos Parés-Pulido
CoRR, 2020

2019
Statistical solutions of the incompressible Euler equations.
[BibTeX]
[DOI]
Samuel Lanthaler
,
Siddhartha Mishra
,
Carlos Parés-Pulido
CoRR, 2019


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