A neural network scheme for recovering scattering obstacles with limited phaseless far-field data
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Publication:782041
DOI10.1016/j.jcp.2020.109594zbMath1437.68157OpenAlexW3030918629MaRDI QIDQ782041
Publication date: 21 July 2020
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2020.109594
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Cites Work
- Unnamed Item
- A qualitative approach to inverse scattering theory
- A reference ball based iterative algorithm for imaging acoustic obstacle from phaseless far-field data
- Stable determination of sound-hard polyhedral scatterers by a minimal number of scattering measurements
- Qualitative methods in inverse scattering theory. An introduction
- An introduction to mathematics of emerging biomedical imaging
- Recovering scattering obstacles by multi-frequency phaseless far-field data
- Unique determinations in inverse scattering problems with phaseless near-field measurements
- An inverse scattering approach for geometric body generation: a machine learning perspective
- Mosco convergence for \(H(\text{curl})\) spaces, higher integrability for Maxwell's equations, and stability in direct and inverse EM scattering problems
- Recovering a polyhedral obstacle by a few backscattering measurements
- Convergence of gradient method for a fully recurrent neural network
- Recovering an electromagnetic obstacle by a few phaseless backscattering measurements
- Phaseless Imaging by Reverse Time Migration: Acoustic Waves
- On unique determination of partially coated polyhedral scatterers with far field measurements
- Reconstruction Procedures for Two Inverse Scattering Problems Without the Phase Information
- Uniqueness in an inverse scattering problem within non-trapping polygonal obstacles with at most two incoming waves
- Looking Back on Inverse Scattering Theory
- Uniqueness results on phaseless inverse acoustic scattering with a reference ball
- Fast imaging of scattering obstacles from phaseless far-field measurements at a fixed frequency
- Inverse obstacle backscattering problems with phaseless data
- A Coefficient Inverse Problem with a Single Measurement of Phaseless Scattering Data
- Determining a sound-soft polyhedral scatterer by a single far-field measurement
- Imaging and time reversal in random media
- Electrical impedance tomography
- Uniqueness in inverse cavity scattering problems with phaseless near-field data
- A Numerical Method to Solve a Phaseless Coefficient Inverse Problem from a Single Measurement of Experimental Data
- Inverse Acoustic and Electromagnetic Scattering Theory
- Uniqueness in phaseless inverse scattering problems with known superposition of incident point sources
- SwitchNet: A Neural Network Model for Forward and Inverse Scattering Problems
- Locating Multiple Multiscale Acoustic Scatterers
- Uniqueness in an inverse acoustic obstacle scattering problem for both sound-hard and sound-soft polyhedral scatterers
- Schiffer’s conjecture, interior transmission eigenvalues and invisibility cloaking: Singular problem vs. nonsingular problem
- Uniqueness of two phaseless non-overdetermined inverse acoustics problems in 3-d
- Phaseless Inverse Scattering Problems in Three Dimensions
- Inverse medium scattering for the Helmholtz equation at fixed frequency
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