| 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, 2024 | 28* | 2024 |
| 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 | 11 | 2020 |
| Consistency of the Bayes method for the inverse scattering problem T Furuya, PZ Kow, JN Wang Inverse Problems 40 (5), 055001, 2024 | 9 | 2024 |
| Globally injective and bijective neural operators T Furuya, M Puthawala, M Lassas, MV de Hoop Advances in Neural Information Processing Systems 36, 2024 | 9 | 2024 |
| 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 | 8 | 2020 |
| Hermite expansions of some tempered distributions H Chihara, T Furuya, T Koshikawa Journal of Pseudo-Differential Operators and Applications 9, 105-124, 2018 | 6 | 2018 |
| 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 | 5 | 2022 |
| Remarks on the factorization and monotonicity method for inverse acoustic scatterings T Furuya Inverse Problems 37 (6), 065006, 2021 | 5 | 2021 |
| Transformers are universal in-context learners T Furuya, MV de Hoop, G Peyré arXiv preprint arXiv:2408.01367, 2024 | 4 | 2024 |
| Inverse medium scattering problems with Kalman filter techniques T Furuya, R Potthast Inverse Problems 38 (9), 095003, 2022 | 4 | 2022 |
| 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 | 4 | 2019 |
| 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 |
| Mixture of Experts Soften the Curse of Dimensionality in Operator Learning A Kratsios, T Furuya, A Lara, M Lassas, M de Hoop arXiv preprint arXiv:2404.09101, 2024 | 2 | 2024 |
| Consistency of the Bayes method for the inverse scattering problem with Randomly truncated Gaussian priors T FURUYA, PUZ KOW, JNAN WANG Manuscript, 2024 | 1 | 2024 |
| Theoretical Error Analysis of Entropy Approximation for Gaussian Mixture T Furuya, H Kusumoto, K Taniguchi, N Kanno, K Suetake arXiv e-prints, arXiv: 2202.13059, 2022 | 1* | 2022 |
| Simultaneously Solving FBSDEs with Neural Operators of Logarithmic Depth, Constant Width, and Sub-Linear Rank T Furuya, A Kratsios arXiv preprint arXiv:2410.14788, 2024 | | 2024 |
| Quantitative Approximation for Neural Operators in Nonlinear Parabolic Equations T Furuya, K Taniguchi, S Okuda arXiv preprint arXiv:2410.02151, 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 |
| 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, 2024 | | 2024 |
Maarten de HoopRice UniversityVerified email at rice.edu
