The Anatomy of Inverse Problems

Abstract

Next No AccessGEOPHYSICSVolume 65, Issue 6The Anatomy of Inverse ProblemsAuthors: John A. ScalesRoel SniederJohn A. ScalesColorado School of Mines, Department of Geophysics and Center for Wave Phenomena, Gold, Colorado 80401. E-mail: , Search for more papers by this authorEmail the author at [email protected]Email the author at [email protected] and Roel SniederColorado School of Mines, Department of Geophysics and Center for Wave Phenomena, Gold, Colorado 80401. E-mail: , Search for more papers by this authorEmail the author at [email protected]Email the author at [email protected]https://doi.org/10.1190/geo2000-0001.1 SectionsAboutFull TextPDF/ePub ToolsAdd to favoritesDownload CitationsTrack CitationsPermissions ShareFacebookTwitterLinked InRedditEmail REFERENCESGouveia, W. P., and J. A. Scales, 1998, Bayesian seismic waveform inversion: Parameter estimation and uncertainty analysis: Journal of Geophysical Research, 103, 2759–2779.JGREA20148-0227CrossrefWeb of ScienceGoogle ScholarMosegaard, K., and A. Tarantola, 1995, Monte Carlo sampling of solutions to inverse problems: Journal of Geophysical Research, 100, 12431–12447.JGREA20148-0227CrossrefWeb of ScienceGoogle ScholarScales, J. A., and R. Snieder, 1997, To Bayes or not to Bayes: Geophysics, 62, 1045–1046.GPYSA70016-8033AbstractWeb of ScienceGoogle ScholarScales, J. A., and L. Tenorio, 2001, Prior information and uncertainty in inverse problems: Geophysics, tentatively scheduled for March/April.AbstractWeb of ScienceGoogle ScholarSnieder, R., 1998, The role of nonlinearity in inverse problems: Inverse Problems, 14, 387–404.INPEEY0266-5611CrossrefWeb of ScienceGoogle ScholarFiguresReferencesRelatedDetailsCited ByGaining confidence in inferred networks14 February 2022 | Scientific Reports, Vol. 12, No. 1Gravity and Grace19 April 2022 | Philosophers' Imprint, Vol. 22, No. 1Characterization of electromagnetic parameters through inversion using metaheuristic technique29 July 2020 | Inverse Problems in Science and Engineering, Vol. 29, No. 4GravPSO2D: A Matlab package for 2D gravity inversion in sedimentary basins using the Particle Swarm Optimization algorithmComputers & Geosciences, Vol. 146Gravity data inversion for the basement relief delineation through global optimization: a case study from the Aegean Graben System, western Anatolia, Turkey15 October 2020 | Geophysical Journal International, Vol. 224, No. 2Anomaly shape inversion via model reduction and PSOComputers & Geosciences, Vol. 140The curse of dimensionality in inverse problemsJournal of Computational and Applied Mathematics, Vol. 369How to Deal with Uncertainty in Inverse and Classification Problems2 January 2020The uncertainty analysis in linear and nonlinear regression revisited: application to concrete strength estimation13 December 2018 | Inverse Problems in Science and Engineering, Vol. 27, No. 12Data kit inversion and uncertainty analysisJournal of Applied Geophysics, Vol. 161Unique Recovery of Piecewise Analytic Density and Stiffness Tensor from the Elastic-Wave Dirichlet-To-Neumann Map3 December 2019 | SIAM Journal on Applied Mathematics, Vol. 79, No. 6Particle Swarm Optimization and Uncertainty Assessment in Inverse Problems30 January 2018 | Entropy, Vol. 20, No. 2Uncertainty analysis and probabilistic segmentation of electrical resistivity images: the 2D inverse problem12 September 2017 | Geophysical Prospecting, Vol. 65Inversion of Remote Sensing Data Using Multiple Ratios of Spectral Radiation Intensities and Neural NetworksActa Physica Polonica A, Vol. 131, No. 63D gravity inversion and uncertainty assessment of basement relief via Particle Swarm OptimizationJournal of Applied Geophysics, Vol. 139Highly efficient Bayesian joint inversion for receiver-based data and its application to lithospheric structure beneath the southern Korean Peninsula15 April 2016 | Geophysical Journal International, Vol. 206, No. 1Inverse problem of determining periodic surface profile oscillation defects of steel materials with a fiber Bragg grating sensor19 February 2016 | Applied Optics, Vol. 55, No. 6References26 September 2016Down to Earth Underdetermination18 March 2014 | Philosophy and Phenomenological Research, Vol. 91, No. 2Gravity inversion and uncertainty assessment of basement relief via Particle Swarm OptimizationJournal of Applied Geophysics, Vol. 116Appraisal problem in the 3D least squares Fourier seismic data reconstruction30 October 2014 | Geophysical Prospecting, Vol. 63, No. 2GEOFIM: A WebGIS application for integrated geophysical modeling in active volcanic regionsComputers & Geosciences, Vol. 70Evaluation of semi-empirical BRDF models inverted against multi-angle data from a digital airborne frame camera for enhancing forest type classificationRemote Sensing of Environment, Vol. 151Reconstruction of the primordial power spectrum of curvature perturbations using multiple data sets15 January 2014 | Journal of Cosmology and Astroparticle Physics, Vol. 2014, No. 01Recursive ant colony optimization: a new technique for the estimation of function parameters from geophysical field data1 November 2012 | Near Surface Geophysics, Vol. 11, No. 3Comparison of sparse-grid geometric and random sampling methods in nonlinear inverse solution uncertainty estimation19 March 2012 | Geophysical Prospecting, Vol. 61, No. 1Seismic imaging: From classical to adjoint tomographyTectonophysics, Vol. 566-567Spatially explicit inverse modeling for urban planningApplied Geography, Vol. 34Reservoir characterization and inversion uncertainty via a family of particle swarm optimizersJuan Luis Fernández Martínez, Tapan Mukerji, Esperanza García Gonzalo, and Amit Suman30 January 2012 | GEOPHYSICS, Vol. 77, No. 1On the topography of the cost functional in linear and nonlinear inverse problemsJuan L. Fernández Martínez, M. Zulima Fernández Muñiz, and Michael J. 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Knoll24 May 2007 | GEOPHYSICS, Vol. 72, No. 4Characterising the parameter space of a highly nonlinear inverse problem21 August 2006 | Inverse Problems in Science and Engineering, Vol. 14, No. 2Experimental design for groundwater modeling and management18 February 2006 | Water Resources Research, Vol. 42, No. 2Crustal seismic imaging from multifold ocean bottom seismometer data by frequency domain full waveform tomography: Application to the eastern Nankai troughJournal of Geophysical Research, Vol. 111, No. B9Two-dimensional inversion of direct current resistivity data using a parallel, multi-objective genetic algorithmGeophysical Journal International, Vol. 162, No. 3Seismic travel time inversion for 3D structures regularized with Sobolev norms24 February 2005 | Inverse Problems, Vol. 21, No. 2The inverse problem of paleointensity determinationPhysics of the Earth and Planetary Interiors, Vol. 147, No. 2-3A Posteriori Inference of Model Parameters in a Geophysical Inverse Problem Using GAInverse Problems in Geophysics Volume 65Issue 6Nov 2000Pages: 1708-2018ISSN (print):0016-8033 ISSN (online):1942-2156 publication data© 2000 Society of Exploration GeophysicistsPublisher:Society of Exploration Geophysicists HistoryReceived: 08 Jun 2000Published: 25 May 2016Published in print: 01 Nov 2000 CITATION INFORMATION John A. Scales and Roel Snieder, (2000), "The Anatomy of Inverse Problems," GEOPHYSICS 65: 1708-1710. https://doi.org/10.1190/geo2000-0001.1 Plain-Language Summary PDF Download Metrics Loading ...