A Bayesian approach to improving the Born approximation for inverse scattering with high-contrast materials
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Publication:5228005
DOI10.1088/1361-6420/ab15f3zbMath1444.35164arXiv1901.00909OpenAlexW3099767915WikidataQ116902776 ScholiaQ116902776MaRDI QIDQ5228005
Teemu Luostari, Tomi Huttunen, Jari P. Kaipio, Peter B. Monk, Timo Lähivaara
Publication date: 8 August 2019
Published in: Inverse Problems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1901.00909
General topics in linear spectral theory for PDEs (35P05) Inverse problems for PDEs (35R30) Second-order elliptic equations (35J15)
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Cites Work
- Unnamed Item
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- Unnamed Item
- Randwertproblem der mathematischen Akustik
- Statistical decision theory. Foundations, concepts, and methods
- Statistical and computational inverse problems.
- Statistical inverse problems: discretization, model reduction and inverse crimes
- Approximation errors and truncation of computational domains with application to geophysical tomography
- On the numerical solution of a three-dimensional inverse medium scattering problem
- Mathematical Foundations of Imaging, Tomography and Wavefield Inversion
- Estimating pipeline location using ground-penetrating radar data in the presence of model uncertainties
- Mathematical Analysis of Ultrafast Ultrasound Imaging
- MARGINALIZATION OF UNINTERESTING DISTRIBUTED PARAMETERS IN INVERSE PROBLEMS APPLICATION TO DIFFUSE OPTICAL TOMOGRAPHY
- RECONSTRUCTION OF DOMAIN BOUNDARY AND CONDUCTIVITY IN ELECTRICAL IMPEDANCE TOMOGRAPHY USING THE APPROXIMATION ERROR APPROACH
- Approximation errors and model reduction with an application in optical diffusion tomography
- An approximation error approach for compensating for modelling errors between the radiative transfer equation and the diffusion approximation in diffuse optical tomography
- Fundamentals of Radar Imaging
- The Adaptive Computation of Far-Field Patterns by A Posteriori Error Estimation of Linear Functionals
- Estimation of aquifer dimensions from passive seismic signals with approximate wave propagation models
- Approximation error analysis in nonlinear state estimation with an application to state-space identification
- Introduction to Bayesian Scientific Computing
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