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Inverse problem

An inverse problem in science is the process of calculating from a set of observations the causal factors that produced them: for example, calculating an image in X-ray computed tomography, source reconstruction in acoustics, or calculating the density of the Earth from measurements of its gravity field. It is called an inverse problem because it starts…

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History

Conceptual understanding

General statement of the inverse problem

Linear inverse problems

Applications

Academic journals

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Inverse problem

Nodes139
Edges138
Triples127
Avg. degree1.99
Density0.014388
Components1

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Inverse problem

Top relations

related to References · 37
Inverse problem → Applications, Archived, Borchers, BP, Brian, Cambridge University Press, Chadan, Clifford, Elsevier, Flannery, Geophysics, Inverse Problems, Inverse Theory, ISBN, Khosrow, New York, Numerical Recipes, Parameter Estimation, Pierre Célestin, Priori Information
related to External links · 18
Inverse problem → Alabama Archived, Archived, CopenhagenAndy Ganse's Geophysical Inverse, Excellence, Geostatistics Project Archived, Inverse Problem Theory, Inverse Problems International Association, Inverse Problems Research Archived, Inverse ProblemsFinnish Inverse Problems, Inverse ProblemsInverse Problems, Niels Bohr Institute, PDF, SocietyInverse Problems NetworkAlbert Tarantola's, Theory Resources PageFinnish Centre, University, Wayback Machine, Wayback MachineEurasian Association, Wayback MachineInverse Problems
see also · 17
Inverse problem → Atmospheric, Branch, EEG, Geophysical, Gilbert, Image, Integral, Inverse, Mathematical, Measurement, Medical, Method, Question, Regularization, Signal, Technique, Techniques
related to history · 13
Inverse problem → Adams, Beltrami, Hermann Weyl, However, Laplace, Le Verrier, Neptune, One, Starting, Today, Uranus, Weyl, Weyl's
related to Further reading · 11
Inverse problem → Activities, Adrian, Cambridge University Press, Feynman's Inverse Problem, Groetsch, Inverse Problems, ISBN, ISSN, Kirkeby, SIAM Review, Undergraduates
related to Academic journals · 7
Inverse problem → EngineeringInverse Problems, Four, Ill-posed ProblemsInverse Problems, Imaging, Inverse, Inverse ProblemsJournal, Science
related to Mathematical and computational aspects · 7
Inverse problem → Bayesian, In, Inverse, Jacques Hadamard, Many, Of, While
has application · 4
Inverse problem → Another, DOA, Inverse, The
related to General statement of the inverse problem · 3
Inverse problem → Our, The, We
related to Non-linear inverse problems · 3
Inverse problem → Here, Modeling, Non-linear

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Important terminology

inverse problem displaystyle solution data problems model parameters function operator linear equation also one forward physical system matrix approach equations

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
the inverse problem in the 1D wave equationinstance ofsome authors have investigated the possibility of applying their approach to similar problems0.80text
the L 2instance ofthe operator defined above is compact on reasonable Banach spaces0.80text
iterative Sparse Asymptotic Minimum Variance.Diffraction tomographyDiffraction tomography is a classical linear inverse problem in exploration seismologyinstance ofiterative reconstruction methods0.80text
iterative Sparse Asymptotic Minimum Varianceinstance ofiterative reconstruction methods0.80text
sampling of the posterior density functioninstance ofuse of global optimization techniques0.80text
Metropolis algorithm in the inverse problem probabilistic frameworkinstance ofuse of global optimization techniques0.80text
genetic algorithmsinstance ofuse of global optimization techniques0.80text
Inverse problemhas applicationInverse0.60section
Inverse problemhas applicationAnother0.60section
Inverse problemhas applicationThe0.60section
Inverse problemhas applicationDOA0.60section
Inverse problemrelated to Academic journalsFour0.60section

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