Out-of-distributional risk bounds for neural operators with applications to the Helmholtz equation JAL Benitez, T Furuya, F Faucher, X Tricoche, A Kratsios, MV de Hoop Journal of Computational Physics, 2024, 0 | 23* | |
The factorization and monotonicity method for the defect in an open periodic waveguide T Furuya Journal of Inverse and Ill-posed Problems 28 (6), 783-796, 2020 | 10 | 2020 |
Scattering by the local perturbation of an open periodic waveguide in the half plane T Furuya Journal of Mathematical Analysis and Applications 489 (1), 124149, 2020 | 9 | 2020 |
The monotonicity method for the inverse crack scattering problem T Daimon, T Furuya, R Saiin Inverse Problems in Science and Engineering 28 (11), 1570-1581, 2020 | 7 | 2020 |
Consistency of the Bayes method for the inverse scattering problem T Furuya, PZ Kow, JN Wang Inverse Problems 40 (5), 055001, 2024 | 4 | 2024 |
Spectral pruning for recurrent neural networks T Furuya, K Suetake, K Taniguchi, H Kusumoto, R Saiin, T Daimon International Conference on Artificial Intelligence and Statistics, 3458-3482, 2022 | 4 | 2022 |
Hermite expansions of some tempered distributions H Chihara, T Furuya, T Koshikawa Journal of Pseudo-Differential Operators and Applications 9, 105-124, 2018 | 4 | 2018 |
Globally injective and bijective neural operators T Furuya, M Puthawala, M Lassas, MV de Hoop Advances in Neural Information Processing Systems 36, 2024 | 3 | 2024 |
Inverse medium scattering problems with Kalman filter techniques T Furuya, R Potthast Inverse Problems 38 (9), 095003, 2022 | 3 | 2022 |
Remarks on the factorization and monotonicity method for inverse acoustic scatterings T Furuya Inverse Problems 37 (6), 065006, 2021 | 3 | 2021 |
The direct and inverse scattering problem for the semilinear Schrödinger equation T Furuya Nonlinear Differential Equations and Applications NoDEA 27, 1-17, 2020 | 3 | 2020 |
A modification of the factorization method for scatterers with different physical properties T Furuya Mathematical Methods in the Applied Sciences 42 (11), 4017-4030, 2019 | 3 | 2019 |
Variational inference with Gaussian mixture by entropy approximation T Furuya, H Kusumoto, K Taniguchi, N Kanno, K Suetake arXiv preprint arXiv:2202.13059, 2022 | 1 | 2022 |
Mixture of Experts Soften the Curse of Dimensionality in Operator Learning A Kratsios, T Furuya, M Lassas, M de Hoop arXiv preprint arXiv:2404.09101, 2024 | | 2024 |
Breaking the Curse of Dimensionality with Distributed Neural Computation HSO Borde, T Furuya, A Kratsios, MT Law arXiv preprint arXiv:2402.03460, 2024 | | 2024 |
Approximation Rates and VC-Dimension Bounds for (P) ReLU MLP Mixture of Experts A Kratsios, H Sáez de Ocáriz Borde, T Furuya, MT Law arXiv e-prints, arXiv: 2402.03460, 2024 | | 2024 |
Out-of-Distributional Risk Bounds for Neural Operators with Applications to Thehelmholtz Equation JA Lara Benitez, T Furuya, F Faucher, A Kratsios, X Tricoche, MV de Hoop Available at SSRN 4527168, 2024 | | 2024 |
Convergences for Minimax Optimization Problems over Infinite-Dimensional Spaces Towards Stability in Adversarial Training T Furuya, S Okuda, K Suetake, Y Sawada Transactions on Machine Learning Research, 2023 | | 2023 |
Local recovery of a piecewise constant anisotropic conductivity in EIT on domains with exposed corners MV de Hoop, T Furuya, CL Lin, G Nakamura, M Vashisth Inverse Problems 39 (2), 025005, 2023 | | 2023 |
The Bernstein-von Mises theorem for the inverse scattering problem T Furuya, JN Wang preprint, 2023 | | 2023 |