Takashi Furuya

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All published works

Action	Title	Year	Authors
+ PDF Chat	Can neural operators always be continuously discretized?	2024	Takashi Furuya Michael Puthawala Maarten V. de Hoop Matti Lassas
+ PDF Chat	Simultaneously Solving FBSDEs with Neural Operators of Logarithmic Depth, Constant Width, and Sub-Linear Rank	2024	Takashi Furuya Anastasis Kratsios
+ PDF Chat	Quantitative Approximation for Neural Operators in Nonlinear Parabolic Equations	2024	Takashi Furuya Koichi Taniguchi Satoshi Okuda
+ PDF Chat	Transformers are Universal In-context Learners	2024	Takashi Furuya Maarten V. de Hoop Gabriel Peyré
+ PDF Chat	Out-of-distributional risk bounds for neural operators with applications to the Helmholtz equation	2024	Jose Antonio Lara Benitez Takashi Furuya Florian Faucher Anastasis Kratsios Xavier Tricoche Maarten V. de Hoop
+ PDF Chat	Mixture of Experts Soften the Curse of Dimensionality in Operator Learning	2024	Anastasis Kratsios Takashi Furuya Jothi B Matti Lassas Maarten V. de Hoop
+ PDF Chat	Consistency of the Bayes method for the inverse scattering problem	2024	Takashi Furuya Pu-Zhao Kow Jenn‐Nan Wang
+ PDF Chat	Breaking the Curse of Dimensionality with Distributed Neural Computation	2024	Haitz Sáez de Ocáriz Borde Takashi Furuya Anastasis Kratsios Marc T. Law
+	Fine-tuning Neural-Operator architectures for training and generalization	2023	Jose Antonio Lara Benitez Takashi Furuya Florian Faucher Xavier Tricoche Maarten V. de Hoop
+ PDF Chat	Local recovery of a piecewise constant anisotropic conductivity in EIT on domains with exposed corners	2023	Maarten V. de Hoop Takashi Furuya Ching‐Lung Lin Gen Nakamura Manmohan Vashisth
+	Globally injective and bijective neural operators	2023	Takashi Furuya Michael Puthawala Matti Lassas Maarten V. de Hoop
+	Out-of-distributional risk bounds for neural operators with applications to the Helmholtz equation	2023	Jose Antonio Lara Benitez Takashi Furuya Florian Faucher Anastasis Kratsios Xavier Tricoche Maarten V. de Hoop
+	Out-of-Distributional Risk Bounds for Neural Operators with Applications to Thehelmholtz Equation	2023	Jose Antonio Lara Benitez Takashi Furuya Florian Faucher Anastasis Kratsios Xavier Tricoche Maarten V. de Hoop
+	Convergences for Minimax Optimization Problems over Infinite-Dimensional Spaces Towards Stability in Adversarial Training	2023	Takashi Furuya Satoshi Okuda Kazuma Suetake Yoshihide Sawada
+ PDF Chat	Inverse medium scattering problems with Kalman filter techniques	2022	Takashi Furuya Roland Potthast
+	Local recovery of a piecewise constant anisotropic conductivity in EIT on domains with exposed corners	2022	Maarten V. de Hoop Takashi Furuya Ching‐Lung Lin Gen Nakamura Manmohan Vashisth
+	Variational Inference with Gaussian Mixture by Entropy Approximation	2022	Takashi Furuya Hiroyuki Kusumoto Koichi Taniguchi Naoya Kanno Kazuma Suetake
+	Inverse medium scattering problems with Kalman filter techniques	2022	Takashi Furuya Roland Potthast
+	The monotonicity method for the inverse crack scattering problem (Recent developments on inverse problems for partial differential equations and their applications)	2021	Takashi Furuya
+	Remarks on the factorization and monotonicity method for inverse acoustic scatterings	2021	Takashi Furuya
+	Direct and inverse scattering problems for the local perturbation of an open periodic waveguide in the half plane (Analysis of inverse problems through partial differential equations and related topics)	2021	Takashi Furuya
+	Spectral Pruning for Recurrent Neural Networks	2021	Takashi Furuya Kazuma Suetake Koichi Taniguchi Hiroyuki Kusumoto Ryuji Saiin Tomohiro Daimon
+	Inverse medium scattering problems with Kalman filter techniques II. Nonlinear case	2021	Takashi Furuya Roland Potthast
+	Inverse medium scattering problems with Kalman filter techniques I. Linear case	2021	Takashi Furuya Roland Potthast
+ PDF Chat	The factorization and monotonicity method for the defect in an open periodic waveguide	2020	Takashi Furuya
+	Scattering by the local perturbation of an open periodic waveguide in the half plane	2020	Takashi Furuya
+ PDF Chat	The direct and inverse scattering problem for the semilinear Schrödinger equation	2020	Takashi Furuya
+ PDF Chat	The monotonicity method for the inverse crack scattering problem	2020	Tomohiro Daimon Takashi Furuya Ryuji Saiin
+ PDF Chat	A modification of the factorization method for scatterers with different physical properties	2019	Takashi Furuya
+	The factorization method for the inverse acoustic scattering problems with limited aperture data	2018	Takashi Furuya
+	The factorization method for the inverse acoustic scattering problems with limited aperture data	2018	Takashi Furuya
+ PDF Chat	Hermite expansions of some tempered distributions	2017	Hiroyuki Chihara Takashi Furuya Takumi Koshikawa
+	Hermite expansions of some tempered distributions	2017	Hiroyuki Chihara Takashi Furuya Takumi Koshikawa

Common Coauthors

Coauthor	Papers Together
Maarten V. de Hoop	10
Anastasis Kratsios	6
Xavier Tricoche	4
Roland Potthast	4
Jose Antonio Lara Benitez	4
Florian Faucher	4
Kazuma Suetake	3
Koichi Taniguchi	3
Matti Lassas	3
Manmohan Vashisth	2
Ching‐Lung Lin	2
Takumi Koshikawa	2
Michael Puthawala	2
Satoshi Okuda	2
Gen Nakamura	2
Hiroyuki Chihara	2
Hiroyuki Kusumoto	2
Haitz Sáez de Ocáriz Borde	1
Ryuji Saiin	1
Naoya Kanno	1
Marc T. Law	1
Ryuji Saiin	1
Gabriel Peyré	1
Tomohiro Daimon	1
Tomohiro Daimon	1
Jenn‐Nan Wang	1
Yoshihide Sawada	1
Jothi B	1
Pu-Zhao Kow	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	The Factorization Method for Inverse Problems	2007	Andreas Kirsch N I Grinberg	6
+ PDF Chat	Inverse Acoustic and Electromagnetic Scattering Theory	2012	David Colton Rainer Kreß	5
+	The factorization method for a class of inverse elliptic problems	2005	Andreas Kirsch	3
+ PDF Chat	A regularizing Levenberg - Marquardt scheme, with applications to inverse groundwater filtration problems	1997	Martin Hanke	3
+ PDF Chat	Dimension Bounds in Monotonicity Methods for the Helmholtz Equation	2019	Bastian Harrach Valter Pohjola Mikko Salo	3
+ PDF Chat	Difference Factorizations and Monotonicity in Inverse Medium Scattering for Contrasts with Fixed Sign on the Boundary	2016	Evgeny Lakshtanov Armin Lechleiter	3
+	Reconstruction of an obstacle from the scattering amplitude at a fixed frequency	1998	Masaru Ikehata	3
+	Direct and inverse acoustic scattering by a mixed-type scatterer	2013	Andreas Kirsch Xiaodong Liu	3
+	Characterization of the shape of a scattering obstacle using the spectral data of the far field operator	1998	Andreas Kirsch	3
+	Multidimensional inverse spectral problem for the equation ??? + (v(x) ? Eu(x))? = 0	1989	Roman Novikov	3
+	The factorization method for the acoustic transmission problem	2013	Konstantinos A Anagnostopoulos A. Charalambopoulos Andreas Kleefeld	3
+	A linear method for solving inverse scattering problems in the resonance region	2007	David Colton	3
+	A simple method for solving inverse scattering problems in the resonance region	1996	David Colton Andreas Kirsch	3
+ PDF Chat	Recovery of the potential from fixed-energy scattering data	1988	А. Г. Рамм	3
+ PDF Chat	Monotonicity-Based Shape Reconstruction in Electrical Impedance Tomography	2013	Bastian Harrach Marcel Ullrich	3
+ PDF Chat	Monotonicity in Inverse Medium Scattering on Unbounded Domains	2018	Roland Griesmaier Bastian Harrach	3
+ PDF Chat	Monotonicity and local uniqueness for the Helmholtz equation	2019	Bastian Harrach Valter Pohjola Mikko Salo	3
+ PDF Chat	Inverse problems: A Bayesian perspective	2010	Andrew M. Stuart	3
+	The factorization method is independent of transmission eigenvalues	2009	Armin Lechleiter	3
+	The factorization method for inverse acoustic scattering in a layered medium	2013	Олександр Володимирович Бондаренко Andreas Kirsch Xiaodong Liu	3
+	The Floquet–Bloch transform and scattering from locally perturbed periodic surfaces	2016	Armin Lechleiter	2
+	Scattering by a periodic tube in R3 : part i. The limiting absorption principle<sup>*</sup>	2019	Andreas Kirsch	2
+	Spectrally-normalized margin bounds for neural networks	2017	Peter L. Bartlett Dylan J. Foster Matus Telgarsky	2
+ PDF Chat	The Limiting Absorption Principle and a Radiation Condition for the Scattering by a Periodic Layer	2018	Andreas Kirsch Armin Lechleiter	2
+ PDF Chat	A remark on Lipschitz stability for inverse problems	2013	Laurent Bourgeois	2
+	A radiation condition arising from the limiting absorption principle for a closed full‐ or half‐waveguide problem	2018	Andreas Kirsch Armin Lechleiter	2
+ PDF Chat	Scattering by a periodic tube in R3 : part ii. A radiation condition	2019	Andreas Kirsch	2
+	Local uniqueness for an inverse boundary value problem with partial data	2015	Bastian Harrach Marcel Ullrich	2
+	Remarks on the Born approximation and the Factorization Method	2016	Andreas Kirsch	2
+	The factorization method for obstacles with a-priori separated sound-soft and sound-hard parts	2004	N I Grinberg Andreas Kirsch	2
+	Reconstructions From Boundary Measurements	1988	Adrian Nachman	2
+	Bargmann-type transforms and modified harmonic oscillators	2017	Hiroyuki Chihara	2
+ PDF Chat	Solving inverse problems using data-driven models	2019	Simon Arridge Peter Maaß Ozan Öktem Carola‐Bibiane Schönlieb	2
+	Electromagnetic scattering by an inhomogeneous conducting or dielectric layer on a perfectly conducting plate	1998	Simon N. Chandler‐Wilde Bo Zhang	2
+	Stability estimates and reconstructions in inverse acoustic scattering using singular sources	2000	Roland Potthast	2
+	Iterative Regularization Methods for Nonlinear Ill-Posed Problems	2008	Barbara Kaltenbacher Andreas B. Neubauer Otmar Scherzer	2
+	A direct sampling method to an inverse medium scattering problem	2012	Kazufumi Ito Bangti Jin Jun Zou	2
+	Recovering a potential from Cauchy data in the two-dimensional case	2008	A. L. Bukhgeĭm	2
+ PDF Chat	The no-response approach and its relation to non-iterative methods for the inverse scattering	2006	Naofumi Honda Gen Nakamura Roland Potthast Mourad Sini	2
+	A Global Uniqueness Theorem for an Inverse Boundary Value Problem	1987	John Sylvester Günther Uhlmann	2
+	Inverse medium scattering for the Helmholtz equation at fixed frequency	2005	Gang Bao Peijun Li	2
+	Distributions and Their Hermite Expansions	1971	Barry Simon	2
+	Uniqueness in an inverse acoustic obstacle scattering problem for both sound-hard and sound-soft polyhedral scatterers	2006	Hongyu Liu Jun Zou	2
+	The Hermite function expansions of the Heaviside function	2015	Toshinao Kagawa	2
+	Electrical impedance tomography and Calderón's problem	2009	Günther Uhlmann	2
+ PDF Chat	Application of the Inhomogeneous Lippmann--Schwinger Equation to Inverse Scattering Problems	2013	G Giorgi Massimo Brignone Riccardo Aramini Michele Piana	2
+ PDF Chat	Bounded Berezin-Toeplitz Operators on the Segal-Bargmann Space	2009	Hiroyuki Chihara	2
+ PDF Chat	Determining a sound-soft polyhedral scatterer by a single far-field measurement	2005	Giovanni Alessandrini Luca Rondi	2
+ PDF Chat	Inverse obstacle problem: local uniqueness for rougher obstacles and the identification of a ball	1997	Chang‐Mei Liu	2
+	On the numerical solution of a three-dimensional inverse medium scattering problem	2001	Thorsten Hohage	2