activity
20172021
most citedThe monotonicity method for the inverse crack scattering problem

11 citations · 36 across the 9 of their papers we have counts for

collaborators

9 papers

stat.ML2021★ 1 cited

Spectral Pruning for Recurrent Neural Networks

Takashi Furuya, Kazuma Suetake, Koichi Taniguchi +3

Recurrent neural networks (RNNs) are a class of neural networks used in sequential tasks. However, in general, RNNs have a large number of parameters and involve enormous computati…

math.AP2021★ 4 cited

Remarks on the factorization and monotonicity method for inverse acoustic scatterings

Takashi Furuya

We study the factorization and monotonicity method for inverse acoustic scattering problems. Firstly, we give a new general functional analysis theorem for the monotonicity method.…

math.AP2019★ 3 cited

The direct and inverse scattering problem for the semilinear Schrödinger equation

Takashi Furuya

We study the direct and inverse scattering problem for the semilinear Schrödinger equation in . We show well-posedness in the direct problem for sm…

math.AP2019★ 6 cited

The factorization and monotonicity method for the defect in an open periodic waveguide

Takashi Furuya

In this paper, we consider the inverse scattering problem to reconstruct the defect in an open periodic waveguide from near field data. Our first aim is to mention that there is a…

math.AP2019★ 7 cited

Scattering by the local perturbation of an open periodic waveguide in the half plane

Takashi Furuya

We consider the scattering problem of the local perturbation of an open periodic waveguide in the half plane. Recently by Kirsch and Lechleiter, a new radiation condition was intro…

math.AP2019★ 11 cited

The monotonicity method for the inverse crack scattering problem

Tomohiro Daimon, Takashi Furuya, Ryuji Saiin

The monotonicity method for the inverse acoustic scattering problem is to understand the inclusion relation between an unknown object and artificial one by comparing the far field…

math.AP2018

The factorization method for the inverse acoustic scattering problems with limited aperture data

Takashi Furuya

We study the factorization method for the inverse acoustic scattering problems in the case of limited aperture data. In this case, the factorization of the far field operator is no…

math.AP2018★ 4 cited

A modification of the factorization method for scatterers with different physical properties

Takashsi Furuya

We study an inverse acoustic scattering problem by the Factorization Method when the unknown scatterer consists of two objects with different physical properties. Especially, we co…

math.CA2017

Hermite expansions of some tempered distributions

Hiroyuki Chihara, Takashi Furuya, Takumi Koshikawa

We compute Hermite expansions of some tempered distributions by using the Bargmann transform. In other words, we calculate the Taylor expansions of the corresponding entire functio…