An a priori method for estimating the informativeness of the configuration of sensor placement when solving inverse problems of remote sensing

Authors: Dmitry V. Lukyanenko, Bulat I. Valiakhmetov, Eugene E. Tyrtyshnikov, Anatoly G. Yagola

Source: Journal of Inverse and Ill-posed Problems. 33:15-30

Subject Terms: low-rank approximation, optimal sensor placement, matrix-cross method, optimal number of measurements, informativeness criterion, Numerical methods for low-rank matrix approximation, matrix compression, linear inverse problem, mosaic-skeleton approximation, compression rate of matrix, Numerical methods for inverse problems for integral equations

File Description: application/xml

Wide-Band Butterfly Network: Stable and Efficient Inversion Via Multi-Frequency Neural Networks: Wide-band butterfly network: stable and efficient inversion via multi-frequency neural networks

Authors: Matthew Li, Laurent Demanet, Leonardo Zepeda-Núñez

Source: Multiscale Modeling & Simulation. 20:1191-1227

Subject Terms: FOS: Computer and information sciences, Computer Science - Machine Learning, inverse problems, Computer Science - Neural and Evolutionary Computing, Machine Learning (stat.ML), inverse scattering, Numerical Analysis (math.NA), neural networks, 01 natural sciences, Machine Learning (cs.LG), Statistics - Machine Learning, computational harmonic analisys, FOS: Mathematics, Mathematics - Numerical Analysis, Neural and Evolutionary Computing (cs.NE), 0101 mathematics, Numerical methods for inverse problems for integral equations, Artificial neural networks and deep learning, 0105 earth and related environmental sciences

File Description: application/xml

Access URL: http://arxiv.org/abs/2011.12413

Image restoration via the adaptive TVp regularization: Image restoration via the adaptive \(TV^p\) regularization

Authors: Zhi-Feng Pang, Ge Meng, Hui Li, Ke Chen

Source: COMPUTERS & MATHEMATICS WITH APPLICATIONS

Subject Terms: half quadratic scheme, 4. Education, proximal point scheme, 02 engineering and technology, image restoration, 01 natural sciences, structure tensor, Numerical mathematical programming methods, Electronic computers. Computer science, 0202 electrical engineering, electronic engineering, information engineering, Image processing (compression, reconstruction, etc.) in information and communication theory, 0101 mathematics, Numerical methods for inverse problems for integral equations, alternating direction method of multipliers (ADMM), Mathematics

File Description: application/xml; application/pdf; text

Access URL: https://zbmath.org/7244221
https://doi.org/10.1016/j.camwa.2020.04.030
http://livrepository.liverpool.ac.uk/3100434/1/2020_CMA_Pang.pdf
https://www.sciencedirect.com/science/article/pii/S0898122120301838
https://dblp.uni-trier.de/db/journals/cma/cma80.html#PangMLC20

Joint inversion of compact operators

Authors: Jodi L. Mead, James F. Ford

Source: Journal of Inverse and Ill-posed Problems. 28:105-118

Subject Terms: regularization, CGISS, Ill-posedness and regularization problems in numerical linear algebra, singular values, joint inversion, Inverse problems in geophysics, Inverse problems in linear algebra, Numerical methods for inverse problems for integral equations, 01 natural sciences, Mathematics, compact operators, 0105 earth and related environmental sciences

File Description: application/xml

Access URL: https://scholarworks.boisestate.edu/cgi/viewcontent.cgi?article=2391&context=td

Sampling-based uncertainty quantification in deconvolution of X-ray radiographs

Authors: Aaron Luttman, Marylesa Howard, Michael Fowler

Source: Journal of Computational and Applied Mathematics. 270:43-51

Subject Terms: algorithm, Biomedical imaging and signal processing, inverse problems, uncertainty quantification, Monte Carlo methods, 02 engineering and technology, deconvolution, 01 natural sciences, Poisson likelihood, Markov chain Monte Carlo, total variation, regularization methods, image analysis, X-ray radiography, Numerical aspects of computer graphics, image analysis, and computational geometry, single reconstruction, Image analysis in multivariate analysis, 0202 electrical engineering, electronic engineering, information engineering, Numerical analysis or methods applied to Markov chains, 0101 mathematics, Numerical methods for inverse problems for integral equations, Numerical methods for integral transforms, Radon transform

File Description: application/xml

Access URL: https://dialnet.unirioja.es/servlet/articulo?codigo=4847589
https://doi.org/10.1016/j.cam.2014.02.024
https://www.osti.gov/scitech/biblio/1134211
https://www.sciencedirect.com/science/article/abs/pii/S0377042714001101
https://www.sciencedirect.com/science/article/pii/S0377042714001101
https://dblp.uni-trier.de/db/journals/jcam/jcam270.html#HowardLF14

A variational method for Abel inversion tomography with mixed Poisson-Laplace-Gaussian noise

Authors: Kong, Linghai, Wei, Suhua

Source: Inverse Problems and Imaging. 16:967

Subject Terms: Numerical optimization and variational techniques, PLG-EM-TVBH, Discrete approximations in optimal control, flash radiography, adaptive bounded Hessian, 02 engineering and technology, PDE constrained optimization (numerical aspects), Computing methodologies for image processing, 01 natural sciences, Abel inversion tomography, 0202 electrical engineering, electronic engineering, information engineering, Image processing (compression, reconstruction, etc.) in information and communication theory, Poisson-Laplace-Gaussian noise, 0101 mathematics, Numerical methods for inverse problems for integral equations

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Access URL: https://zbmath.org/7562723
https://doi.org/10.3934/ipi.2022007

Numerical solution of the inverse problem for the polarized-radiation transfer equation

Authors: I. V. Prokhorov, A. E. Kovtanyuk

Source: Numerical Analysis and Applications. 1:46-57

Subject Terms: polarized radiation, algorithm, attenuation factor, Monte Carlo methods, vector transfer equation, 01 natural sciences, Monte Carlo method, 0103 physical sciences, inverse problem, 0101 mathematics, numerical experiments, Numerical methods for inverse problems for integral equations, Numerical methods for integral transforms, Radon transform

File Description: application/xml

Access URL: https://link.springer.com/article/10.1134/S1995423908010059
https://link.springer.com/content/pdf/10.1134%2FS1995423908010059.pdf

Parameter estimation techniques for a class of nonlinear hysteresis models

Authors: Ralph C. Smith, Andrew G. Hatch

Source: Inverse Problems. 21:1363-1377

Subject Terms: Other nonlinear integral equations, 0209 industrial biotechnology, Equations with nonlinear hysteresis operators, 0103 physical sciences, Applications of statistical mechanics to specific types of physical systems, 02 engineering and technology, Numerical methods for inverse problems for integral equations, 01 natural sciences

File Description: application/xml

Access URL: https://repository.lib.ncsu.edu/bitstream/1840.4/390/1/crsc-tr05-02.pdf
https://zbmath.org/2215119
https://doi.org/10.1088/0266-5611/21/4/011
https://iopscience.iop.org/article/10.1088/0266-5611/21/4/011
https://iopscience.iop.org/article/10.1088/0266-5611/21/4/011/pdf
https://ui.adsabs.harvard.edu/abs/2005InvPr..21.1363S/abstract
https://repository.lib.ncsu.edu/handle/1840.4/390
https://repository.lib.ncsu.edu/bitstream/1840.4/390/1/crsc-tr05-02.pdf

Adaptive estimation for inverse problems with noisy operators

Authors: Laurent Cavalier, Nicolas W. Hengartner

Source: Inverse Problems. 21:1345-1361

Subject Terms: non-asymptotic exact oracle inequalities, Inference from stochastic processes, asymptotic minimaxity, unbiased risk estimator, simulations, 0101 mathematics, Non-Markovian processes: estimation, Applications of functional analysis in probability theory and statistics, Numerical methods for inverse problems for integral equations, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/2215118
https://doi.org/10.1088/0266-5611/21/4/010
https://ui.adsabs.harvard.edu/abs/2005InvPr..21.1345C/abstract
https://iopscience.iop.org/article/10.1088/0266-5611/21/4/010

Nonlinear integral equations and the iterative solution for an inverse boundary value problem

Authors: Kress, Rainer, Rundell, W.

Contributors: Kress, Rainer, Rundell, W.

Source: Inverse Problems. 21:1207-1223

Subject Terms: Inverse problems for PDEs, ill-posed integral equations, Inverse problems for integral equations, Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, nondestructive testing, Laplace equation, Numerical methods for integral equations, inverse conductivity problem, 01 natural sciences, Boundary value problems for second-order elliptic equations, regularized Newton iterations, unknown inclusion, 0101 mathematics, Numerical methods for inverse problems for integral equations

File Description: application/xml

Access URL: https://zbmath.org/2215110
https://doi.org/10.1088/0266-5611/21/4/002
https://iopscience.iop.org/article/10.1088/0266-5611/21/4/002/pdf
https://ui.adsabs.harvard.edu/abs/2005InvPr..21.1207K/abstract
https://iopscience.iop.org/article/10.1088/0266-5611/21/4/002
http://iopscience.iop.org/article/10.1088/0266-5611/21/4/002/pdf
https://resolver.sub.uni-goettingen.de/purl?gro-2/39490

An iterative deautoconvolution algorithm for nonnegative functions

Authors: Kerkil Choi, Aaron D. Lanterman

Source: Inverse Problems. 21:981-995

Subject Terms: Inverse problems for integral equations, inverse problems, autoconvolution, 0202 electrical engineering, electronic engineering, information engineering, iterative methods, 02 engineering and technology, Numerical methods for integral equations, 0101 mathematics, Numerical methods for inverse problems for integral equations, 01 natural sciences

File Description: application/xml

Access URL: https://ui.adsabs.harvard.edu/abs/2005InvPr..21..981C/abstract
http://users.ece.gatech.edu/~lanterma/papers/Deautoconvolution_3_6_05.pdf

Full convergence of sequential local regularization methods for Volterra inverse problems

Authors: Patricia K. Lamm

Source: Inverse Problems. 21:785-803

Subject Terms: numerical examples, convergence, Inverse problems for integral equations, Volterra integral equations, inverse problem, Numerical methods for integral equations, stability, 0101 mathematics, Volterra integral equation, Numerical methods for inverse problems for integral equations, 01 natural sciences

File Description: application/xml

Access URL: https://www.math.msu.edu/~lamm/Preprints/Full_convergence_finitely_smoothing/paper.pdf
https://users.math.msu.edu/users/lamm/Preprints/Full_convergence_finitely_smoothing/paper.pdf
http://users.math.msu.edu/users/lamm/Preprints/Full_convergence_finitely_smoothing/paper.pdf
https://ui.adsabs.harvard.edu/abs/2005InvPr..21..785L/abstract
http://iopscience.iop.org/article/10.1088/0266-5611/21/3/001/pdf

The diagonalized contrast source approach: an inversion method beyond the Born approximation: The diagonalized constrast source approach: an inversion methods beyond the Born approxima\-tion

Authors: Abubakar, A. (author), Habashy, T.M. (author), Van Den Berg, P.M. (author), Gisolf, D. (author)

Source: Inverse Problems. 21:685-702

Subject Terms: inverse scattering methods, numerical examples, constrained Born inversion, reconstruction, Inverse problems for integral equations, Biomedical imaging and signal processing, nonlinear inversion, 4. Education, linear data equation, 0211 other engineering and technologies, imaging, Fredholm integral equations, 02 engineering and technology, diagonalized contrast source method, single-frequency wave fields, 0202 electrical engineering, electronic engineering, information engineering, Inverse problems (including inverse scattering) in optics and electromagnetic theory, inverse problem, Image processing (compression, reconstruction, etc.) in information and communication theory, Numerical methods for inverse problems for integral equations, source-type integral equation, diffraction tomographic

File Description: application/xml

Access URL: https://repository.tudelft.nl/islandora/object/uuid%3A80ee9a8c-3815-4625-b367-9df00d1f46da/datastream/OBJ/download
https://zbmath.org/2174690
https://doi.org/10.1088/0266-5611/21/2/015
http://iopscience.iop.org/article/10.1088/0266-5611/21/2/015/pdf
https://repository.tudelft.nl/islandora/object/uuid:80ee9a8c-3815-4625-b367-9df00d1f46da?collection=research
https://repository.tudelft.nl/islandora/object/uuid%3A80ee9a8c-3815-4625-b367-9df00d1f46da
https://www.narcis.nl/publication/RecordID/oai%3Atudelft.nl%3Auuid%3A80ee9a8c-3815-4625-b367-9df00d1f46da
https://iopscience.iop.org/article/10.1088/0266-5611/21/2/015
http://resolver.tudelft.nl/uuid:80ee9a8c-3815-4625-b367-9df00d1f46da

A two‐dimensional inverse heat conduction problem for estimating heat source: A two-dimensional inverse heat conduction problem for estimating heat source

Authors: Abdullah Shidfar, Ali Zakeri, A. Neisi

Source: International Journal of Mathematics and Mathematical Sciences, Vol 2005, Iss 10, Pp 1633-1641 (2005)

Subject Terms: Inverse problems for integral equations, Inverse problems in thermodynamics and heat transfer, Volterra integral equations, Heat equation, 0103 physical sciences, QA1-939, Heat and mass transfer, heat flow, inverse heat conduction problem, 0101 mathematics, Volterra integral equation, Numerical methods for inverse problems for integral equations, 01 natural sciences, Mathematics

File Description: application/xml

Access URL: https://doaj.org/article/13759f523e3540d19b55b46d35a64217

The method of series expansion for 3-D vector tomography reconstruction

Authors: A. L. Balandin, Yasushi Ono

Source: Journal of Computational Physics. 202:52-64

Subject Terms: Inverse problems, Biomedical imaging and signal processing, Numerical examples, 0103 physical sciences, 0101 mathematics, Computerized tomography, Spherical harmonics, Numerical methods for inverse problems for integral equations, 01 natural sciences, Numerical methods for integral transforms, Method of series expansion, X-ray transform, Radon transform

File Description: application/xml

Access URL: https://zbmath.org/2126413
https://doi.org/10.1016/j.jcp.2004.07.001
https://www.sciencedirect.com/science/article/pii/S0021999104002670
http://ui.adsabs.harvard.edu/abs/2005JCoPh.202...52B/abstract

Fast Model Updates Using Wavelets: Fast model updates using wavelets

Authors: Nicholas N. Bennett, Alberto Malinverno

Source: Multiscale Modeling & Simulation. 3:106-130

Subject Terms: covariance matrix, numerical examples, Inverse problems for integral equations, Bayesian approach, Computational problems in statistics, Analysis of variance and covariance (ANOVA), model averaging, Direct numerical methods for linear systems and matrix inversion, algorithms, determinant, wavelets, 01 natural sciences, multiwavelets, Bayesian problems, characterization of Bayes procedures, Numerical methods for wavelets, inverse problem, Kalman filter, 0101 mathematics, model update, uncertainty, Numerical methods for inverse problems for integral equations, Cholesky decomposition, 0105 earth and related environmental sciences

File Description: application/xml

Access URL: https://epubs.siam.org/doi/abs/10.1137/030601466
https://dblp.uni-trier.de/db/journals/mmas/mmas3.html#BennettM05

Two approaches to the problem of defect correction in vector field tomography solving boundary value problems

Authors: Alfred K. Louis, Thomas Schuster, E. Yu. Derevtsov

Source: Journal of Inverse and Ill-Posed Problems. 12:597-626

Subject Terms: Finite difference methods for boundary value problems involving PDEs, Inverse problems for PDEs, ray transform, Numerical methods for inverse problems for boundary value problems involving PDEs, Neumann problem, Boundary element methods for boundary value problems involving PDEs, Inverse problems in geophysics, 01 natural sciences, Numerical methods for ill-posed problems for integral equations, boundary element method, Boundary value problems for second-order elliptic equations, vector field tomography, inverse problem, 0101 mathematics, Numerical methods for inverse problems for integral equations, Numerical methods for integral transforms, finite difference method, Radon transform, Dirichlet problem

File Description: application/xml

Access URL: https://zbmath.org/2182349
https://doi.org/10.1515/1569394042545111
https://www.degruyter.com/view/j/jiip.2004.12.issue-6/1569394042545111/1569394042545111.xml

Wavelet methods for Ground Penetrating Radar imaging: Wavelet methods for ground penetrating radar imaging

Authors: Fengshan Liu, Yi Ling, Xiang-Gen Xia, Xiquan Shi

Source: Journal of Computational and Applied Mathematics. 169:459-474

Subject Terms: Born approximation, Applied Mathematics, 0211 other engineering and technologies, Nontrigonometric harmonic analysis involving wavelets and other special systems, 02 engineering and technology, Wavelets, Technical applications of optics and electromagnetic theory, Scattering, Computational Mathematics, Ill-posedness and regularization problems in numerical linear algebra, Ground Penetrating Radar imaging, Numerical methods for wavelets, 0202 electrical engineering, electronic engineering, information engineering, Numerical methods for inverse problems for integral equations

File Description: application/xml

Access URL: https://zbmath.org/2091420
https://doi.org/10.1016/j.cam.2003.12.036
https://dl.acm.org/doi/10.1016/j.cam.2003.12.036
https://ui.adsabs.harvard.edu/abs/2004JCoAM.169..459L/abstract
https://www.sciencedirect.com/science/article/pii/S037704270400010X
https://www.sciencedirect.com/science/article/abs/pii/S037704270400010X

A numerical approach for inverse problems in photon transport inside an interstellar cloud

Authors: BELLENI MORANTE A., MONACO, Roberto, RIGANTI, Riccardo, SALVARANI F.

Contributors: BELLENI MORANTE, A., Monaco, R., Riganti, R., Salvarani, Francesco

Source: Applied Mathematics and Computation. 154:115-126

Subject Terms: Inverse problems for integral equations, inverse problems, integro-differential equations, 01 natural sciences, Integro-partial differential equations, radiative transfer, Radiative transfer in astronomy and astrophysics, Inverse problem, interstellar clouds, kinetic theory, 0101 mathematics, Numerical methods for inverse problems for integral equations, photon transport, 0105 earth and related environmental sciences

File Description: application/xml; STAMPA

Access URL: https://www.sciencedirect.com/science/article/pii/S0096300303006957
https://dblp.uni-trier.de/db/journals/amc/amc154.html#Belleni-MoranteMRS04
http://www.sciencedirect.com/science/article/pii/S0096300303006957
https://doi.org/10.1016/S0096-3003(03)00695-7
https://iris.polito.it/handle/11583/1402435
https://hdl.handle.net/11583/1402435

Identification of the boundary surface of an interstellar cloud from a measurement of the photon far‐field: Identification of the boundary surface of an interstellar cloud from a measurement of the photon far-field

Authors: BELLENI MORANTE, ALDO, MUGELLI, FRANCESCO

Source: Mathematical Methods in the Applied Sciences. 27:627-642

Subject Terms: Inverse problems, Inverse problems for PDEs, far field measurement, 4. Education, 16. Peace & justice, 01 natural sciences, 7. Clean energy, interstellar clouds, Galactic and stellar structure, Gravitational energy and conservation laws, groups of motions, Botlzmann-like model, 0101 mathematics, Numerical methods for inverse problems for integral equations, photon transport

File Description: application/xml; application/pdf

Access URL: https://zbmath.org/2093613
https://doi.org/10.1002/mma.493
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.493
http://ui.adsabs.harvard.edu/abs/2004MMAS...27..627B/abstract