Takashi Furuya
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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
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
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
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
Consistency of the Bayes method for the inverse scattering problem
T Furuya, PZ Kow, JN Wang
Inverse Problems 40 (5), 055001, 2024
Inverse medium scattering problems with Kalman filter techniques
T Furuya, R Potthast
Inverse Problems 38 (9), 095003, 2022
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
Hermite expansions of some tempered distributions
H Chihara, T Furuya, T Koshikawa
Journal of Pseudo-Differential Operators and Applications 9, 105-124, 2018
Globally injective and bijective neural operators
T Furuya, M Puthawala, M Lassas, MV de Hoop
Advances in Neural Information Processing Systems 36, 2024
Remarks on the factorization and monotonicity method for inverse acoustic scatterings
T Furuya
Inverse Problems 37 (6), 065006, 2021
The direct and inverse scattering problem for the semilinear Schrödinger equation
T Furuya
Nonlinear Differential Equations and Applications NoDEA 27, 1-17, 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
Variational Inference with Gaussian Mixture by Entropy Approximation
T Furuya, H Kusumoto, K Taniguchi, N Kanno, K Suetake
arXiv preprint arXiv:2202.13059, 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
Breaking the Curse of Dimensionality with Distributed Neural Computation
HSO Borde, T Furuya, A Kratsios, MT Law
arXiv preprint arXiv:2402.03460, 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
Convergences for Minimax Optimization Problems over Infinite-Dimensional Spaces Towards Stability in Adversarial Training
T Furuya, S Okuda, K Suetake, Y Sawada
arXiv preprint arXiv:2312.00991, 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
The Bernstein-von Mises theorem for the inverse scattering problem
T Furuya, JN Wang
preprint, 2023
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