| Error estimates for deeponets: A deep learning framework in infinite dimensions S Lanthaler, S Mishra, GE Karniadakis Transactions of Mathematics and Its Applications 6 (1), tnac001, 2022 | 207 | 2022 |
| On universal approximation and error bounds for Fourier Neural Operators N Kovachki, S Lanthaler, S Mishra Journal of Machine Learning Research 22, Art. No. 290, 2021 | 204 | 2021 |
| The DEMO wall load challenge R Wenninger, R Albanese, R Ambrosino, F Arbeiter, J Aubert, ... Nuclear Fusion 57 (4), 046002, 2017 | 121 | 2017 |
| On the approximation of functions by tanh neural networks T De Ryck, S Lanthaler, S Mishra Neural Networks 143, 732-750, 2021 | 115 | 2021 |
| Statistical solutions of hyperbolic conservation laws: foundations US Fjordholm, S Lanthaler, S Mishra Archive for Rational Mechanics and Analysis 226, 809-849, 2017 | 52 | 2017 |
| Statistical solutions of the incompressible Euler equations S Lanthaler, S Mishra, C Parés-Pulido Mathematical Models and Methods in Applied Sciences 31 (02), 223-292, 2021 | 21 | 2021 |
| Computation of measure-valued solutions for the incompressible Euler equations S Lanthaler, S Mishra Mathematical Models and Methods in Applied Sciences 25 (11), 2043-2088, 2015 | 21 | 2015 |
| The Nonlocal Neural Operator: Universal Approximation S Lanthaler, Z Li, AM Stuart arXiv preprint arXiv:2304.13221, 2023 | 20 | 2023 |
| Nonlinear reconstruction for operator learning of pdes with discontinuities S Lanthaler, R Molinaro, P Hadorn, S Mishra arXiv preprint arXiv:2210.01074, 2022 | 19 | 2022 |
| On the conservation of energy in two-dimensional incompressible flows S Lanthaler, S Mishra, C Parés-Pulido Nonlinearity 34 (2), 1084, 2021 | 14 | 2021 |
| The curse of dimensionality in operator learning S Lanthaler, AM Stuart arXiv preprint arXiv:2306.15924, 2023 | 12 | 2023 |
| Operator learning with PCA-Net: upper and lower complexity bounds S Lanthaler Journal of Machine Learning Research 24 (318), 1-67, 2023 | 11 | 2023 |
| Guiding-centre theory for kinetic-magnetohydrodynamic modes in strongly flowing plasmas S Lanthaler, JP Graves, D Pfefferlé, WA Cooper Plasma Physics and Controlled Fusion 61 (7), 074006, 2019 | 11 | 2019 |
| On the convergence of the spectral viscosity method for the two-dimensional incompressible Euler equations with rough initial data S Lanthaler, S Mishra Foundations of Computational Mathematics 20 (5), 1309-1362, 2020 | 8 | 2020 |
| Neural oscillators are universal S Lanthaler, TK Rusch, S Mishra Advances in Neural Information Processing Systems 36, 2024 | 6 | 2024 |
| Higher order Larmor radius corrections to guiding-centre equations and application to fast ion equilibrium distributions S Lanthaler, D Pfefferlé, JP Graves, WA Cooper Plasma Physics and Controlled Fusion 59 (4), 044014, 2017 | 6 | 2017 |
| Error bounds for learning with vector-valued random features S Lanthaler, NH Nelsen Advances in Neural Information Processing Systems 36, 2024 | 5 | 2024 |
| On Bayesian data assimilation for PDEs with ill-posed forward problems S Lanthaler, S Mishra, F Weber Inverse Problems 38 (8), 085012, 2022 | 2 | 2022 |
| On the well-posedness of Bayesian inversion for PDEs with ill-posed forward problems S Lanthaler, S Mishra, F Weber arXiv preprint arXiv:2107.07593, 2021 | 1 | 2021 |
| On concentration in vortex sheets S Lanthaler Partial Differential Equations and Applications 4 (2), 13, 2023 | | 2023 |
Siddhartha MishraProfessor of Applied Mathematics, ETH Zurich, SwitzerlandVerified email at sam.math.ethz.ch
