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ORCIDSamuel Lanthaler
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2020 – today
- 2024
[i18]Nikola B. Kovachki, Samuel Lanthaler, Andrew M. Stuart:
Operator Learning: Algorithms and Analysis. CoRR abs/2402.15715 (2024)- [i17]Samuel Lanthaler, Andrew M. Stuart, Margaret Trautner:
Discretization Error of Fourier Neural Operators. CoRR abs/2405.02221 (2024) - [i16]Nikola B. Kovachki, Samuel Lanthaler, Hrushikesh Mhaskar:
Data Complexity Estimates for Operator Learning. CoRR abs/2405.15992 (2024) - [i15]Samuel Lanthaler:
Operator Learning of Lipschitz Operators: An Information-Theoretic Perspective. CoRR abs/2406.18794 (2024) - [i14]Roberto Molinaro, Samuel Lanthaler, Bogdan Raonic, Tobias Rohner, Victor Armegioiu, Zhong Yi Wan, Fei Sha, Siddhartha Mishra, Leonardo Zepeda-Núñez:
Generative AI for fast and accurate Statistical Computation of Fluids. CoRR abs/2409.18359 (2024) - 2023
- [j4]Samuel Lanthaler
:
Operator learning with PCA-Net: upper and lower complexity bounds. J. Mach. Learn. Res. 24: 318:1-318:67 (2023) - [c3]Samuel Lanthaler, Roberto Molinaro, Patrik Hadorn, Siddhartha Mishra:
Nonlinear Reconstruction for Operator Learning of PDEs with Discontinuities. ICLR 2023 - [c2]Samuel Lanthaler, Nicholas H. Nelsen:
Error Bounds for Learning with Vector-Valued Random Features. NeurIPS 2023 - [c1]Samuel Lanthaler, T. Konstantin Rusch, Siddhartha Mishra:
Neural Oscillators are Universal. NeurIPS 2023 - [i13]Samuel Lanthaler:
Operator learning with PCA-Net: upper and lower complexity bounds. CoRR abs/2303.16317 (2023) - [i12]Samuel Lanthaler, Zongyi Li, Andrew M. Stuart:
The Nonlocal Neural Operator: Universal Approximation. CoRR abs/2304.13221 (2023) - [i11]Samuel Lanthaler, T. Konstantin Rusch, Siddhartha Mishra:
Neural Oscillators are Universal. CoRR abs/2305.08753 (2023) - [i10]Samuel Lanthaler, Nicholas H. Nelsen:
Error Bounds for Learning with Vector-Valued Random Features. CoRR abs/2305.17170 (2023) - [i9]Samuel Lanthaler, Andrew M. Stuart:
The curse of dimensionality in operator learning. CoRR abs/2306.15924 (2023) - 2022
- [i8]Samuel Lanthaler, Roberto Molinaro, Patrik Hadorn, Siddhartha Mishra:
Nonlinear Reconstruction for Operator Learning of PDEs with Discontinuities. CoRR abs/2210.01074 (2022) - 2021
- [j3]Nikola B. Kovachki, Samuel Lanthaler, Siddhartha Mishra:
On Universal Approximation and Error Bounds for Fourier Neural Operators. J. Mach. Learn. Res. 22: 290:1-290:76 (2021) - [j2]Tim De Ryck, Samuel Lanthaler, Siddhartha Mishra:
On the approximation of functions by tanh neural networks. Neural Networks 143: 732-750 (2021) - [i7]Samuel Lanthaler, Siddhartha Mishra, George Em Karniadakis:
Error estimates for DeepOnets: A deep learning framework in infinite dimensions. CoRR abs/2102.09618 (2021) - [i6]Tim De Ryck, Samuel Lanthaler, Siddhartha Mishra:
On the approximation of functions by tanh neural networks. CoRR abs/2104.08938 (2021) - [i5]Nikola B. Kovachki, Samuel Lanthaler, Siddhartha Mishra:
On universal approximation and error bounds for Fourier Neural Operators. CoRR abs/2107.07562 (2021) - [i4]Samuel Lanthaler, Siddhartha Mishra, Franziska Weber:
On the well-posedness of Bayesian inversion for PDEs with ill-posed forward problems. CoRR abs/2107.07593 (2021) - 2020
- [j1]Samuel Lanthaler, Siddhartha Mishra:
On the Convergence of the Spectral Viscosity Method for the Two-Dimensional Incompressible Euler Equations with Rough Initial Data. Found. Comput. Math. 20(5): 1309-1362 (2020) - [i3]Samuel Lanthaler, Siddhartha Mishra, Carlos Parés-Pulido:
On the conservation of energy in two-dimensional incompressible flows. CoRR abs/2001.06195 (2020) - [i2]Samuel Lanthaler:
On concentration in vortex sheets. CoRR abs/2004.01537 (2020)
2010 – 2019
- 2019
- [i1]Samuel Lanthaler, Siddhartha Mishra, Carlos Parés-Pulido:
Statistical solutions of the incompressible Euler equations. CoRR abs/1909.06615 (2019)
Coauthor Index
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