Untangling the nonlinearity in inverse scattering with data-driven reduced order models
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Publication:4571002
DOI10.1088/1361-6420/aabb16OpenAlexW3099473305WikidataQ118126688 ScholiaQ118126688MaRDI QIDQ4571002
Mikhail Zaslavsky, Alexander V. Mamonov, Liliana Borcea, Vladimir Druskin
Publication date: 6 July 2018
Published in: Inverse Problems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1704.08375
Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Asymptotic expansions of solutions to PDEs (35C20) Hydro- and aero-acoustics (76Q05) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)
Related Items (9)
On extension of the data driven ROM inverse scattering framework to partially nonreciprocal arrays ⋮ Estimation of the Born data in inverse scattering of layered media ⋮ Waveform Inversion with a Data Driven Estimate of the Internal Wave ⋮ Robust nonlinear processing of active array data in inverse scattering via truncated reduced order models ⋮ Reduced Order Model Approach to Inverse Scattering ⋮ A reduced order model approach to inverse scattering in lossy layered media ⋮ Lippmann–Schwinger–Lanczos algorithm for inverse scattering problems ⋮ Reduced order models for spectral domain inversion: embedding into the continuous problem and generation of internal data ⋮ Reduced order model approach for imaging with waves
Cites Work
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- Indeterminacy criteria for the Stieltjes matrix moment problem
- Linearized inverse scattering problems in acoustics and elasticity
- Inverse boundary value problems and a theorem of Gel'fand and Levitan
- The Gelfand-Levitan, the Marchenko, and the Gopinath-Sondhi integral equations of inverse scattering theory, regarded in the context of inverse impulse-response problems
- A rational Lanczos algorithm for model reduction
- Filtering Random Layering Effects in Imaging
- Near-Optimal Perfectly Matched Layers for Indefinite Helmholtz Problems
- Inverse Born Series for Scalar Waves
- Numerical algorithm for two-dimensional inverse acoustic problem based on Gel'fand–Levitan–Krein equation
- A model reduction approach to numerical inversion for a parabolic partial differential equation
- Detection and imaging in strongly backscattering randomly layered media
- Adaptive Time-Frequency Detection and Filtering for Imaging in Heavy Clutter
- Direct, Nonlinear Inversion Algorithm for Hyperbolic Problems via Projection-Based Model Reduction
- On the determination of a differential equation from its spectral function
- The One-Dimensional Inverse Problem of Reflection Seismology
- Structured inverse eigenvalue problems
- Fundamentals of Radar Imaging
- The seismic reflection inverse problem
- A Linearised inverse problem for the wave equation
- A generalized Gel'fand-Levitan-Marchenko integral equation
- On the spectral functions of the string
- A Nonlinear Method for Imaging with Acoustic Waves Via Reduced Order Model Backprojection
- Smooth objective functionals for seismic velocity inversion
- Filtering Deterministic Layer Effects in Imaging
- Gaussian Spectral Rules for the Three-Point Second Differences: I. A Two-Point Positive Definite Problem in a Semi-Infinite Domain
- Resistor network approaches to electrical impedance tomography
- Recent progress in the boundary control method
- A method for inverse scattering based on the generalized Bremmer coupling series
- On the continuum limit of a discrete inverse spectral problem on optimal finite difference grids
- Multiscale S-Fraction Reduced-Order Models for Massive Wavefield Simulations
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