4 citations · 9 across the 7 of their papers we have counts for
7 papers
Globally injective and bijective neural operators
Takashi Furuya, Michael Puthawala, Matti Lassas +1
Recently there has been great interest in operator learning, where networks learn operators between function spaces from an essentially infinite-dimensional perspective. In this wo…
Out-of-distributional risk bounds for neural operators with applications to the Helmholtz equation
J. Antonio Lara Benitez, Takashi Furuya, Florian Faucher +3
Despite their remarkable success in approximating a wide range of operators defined by PDEs, existing neural operators (NOs) do not necessarily perform well for all physics problem…
Inverse medium scattering problems with Kalman filter techniques
Takashi Furuya, Roland Potthast
We study the inverse medium scattering problem to reconstruct the unknown inhomogeneous medium from the far-field patterns of scattered waves. The inverse scattering problem is gen…
Theoretical Error Analysis of Entropy Approximation for Gaussian Mixtures
Takashi Furuya, Hiroyuki Kusumoto, Koichi Taniguchi +2
Gaussian mixture distributions are commonly employed to represent general probability distributions. Despite the importance of using Gaussian mixtures for uncertainty estimation, t…
Local recovery of a piecewise constant anisotropic conductivity in EIT on domains with exposed corners
Maarten V. de Hoop, Takashi Furuya, Ching-Lung Lin +2
We study the local recovery of an unknown piecewise constant anisotropic conductivity in EIT (electric impedance tomography) on certain bounded Lipschitz domains in $\mathbb{R}…
Inverse medium scattering problems with Kalman filter techniques II. Nonlinear case
Takashi Furuya, Roland Potthast
In this paper, we study the inverse medium scattering problem to reconstruct unknown inhomogeneous medium from far field patterns of scattered waves. In the first part of our work,…
Inverse medium scattering problems with Kalman filter techniques I. Linear case
Takashi Furuya, Roland Potthast
In this paper, we study the inverse acoustic medium scattering problem to reconstruct the unknown inhomogeneous medium from far field patterns of scattered waves. We propose the re…