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The Resource Anomaly Detection in Random Heterogeneous Media : FeynmanKac Formulae, Stochastic Homogenization and Statistical Inversion, by Martin Simon, (electronic resource)
Anomaly Detection in Random Heterogeneous Media : FeynmanKac Formulae, Stochastic Homogenization and Statistical Inversion, by Martin Simon, (electronic resource)
Resource Information
The item Anomaly Detection in Random Heterogeneous Media : FeynmanKac Formulae, Stochastic Homogenization and Statistical Inversion, by Martin Simon, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.This item is available to borrow from all library branches.
Resource Information
The item Anomaly Detection in Random Heterogeneous Media : FeynmanKac Formulae, Stochastic Homogenization and Statistical Inversion, by Martin Simon, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.
This item is available to borrow from all library branches.
 Summary
 This monograph is concerned with the analysis and numerical solution of a stochastic inverse anomaly detection problem in electrical impedance tomography (EIT). Martin Simon studies the problem of detecting a parameterized anomaly in an isotropic, stationary and ergodic conductivity random field whose realizations are rapidly oscillating. For this purpose, he derives FeynmanKac formulae to rigorously justify stochastic homogenization in the case of the underlying stochastic boundary value problem. The author combines techniques from the theory of partial differential equations and functional analysis with probabilistic ideas, paving the way to new mathematical theorems which may be fruitfully used in the treatment of the problem at hand. Moreover, the author proposes an efficient numerical method in the framework of Bayesian inversion for the practical solution of the stochastic inverse anomaly detection problem. Contents FeynmanKac formulae Stochastic homogenization Statistical inverse problems Target Groups Students and researchers in the fields of inverse problems, partial differential equations, probability theory and stochastic processes Practitioners in the fields of tomographic imaging and noninvasive testing via EIT About the Author Martin Simon has worked as a researcher at the Institute of Mathematics at the University of Mainz from 2008 to 2014. During this period he had several research stays at the University of Helsinki. He has recently joined an asset management company as a financial mathematician
 Language

 eng
 eng
 Edition
 1st ed. 2015.
 Extent
 1 online resource (153 p.)
 Note
 "Research"Cover
 Contents

 Part I: Probabilistic interpretation of EIT
 Mathematical setting. FeynmanKac formulae
 Part II: Anomaly detection in heterogeneous media. Stochastic homogenization: Theory and numerics. Statistical inversion. Appendix A Basic Dirichlet form theory. Appendix B Random field models. Appendix C FEM discretization of the forward problem
 Isbn
 9783658109936
 Label
 Anomaly Detection in Random Heterogeneous Media : FeynmanKac Formulae, Stochastic Homogenization and Statistical Inversion
 Title
 Anomaly Detection in Random Heterogeneous Media
 Title remainder
 FeynmanKac Formulae, Stochastic Homogenization and Statistical Inversion
 Statement of responsibility
 by Martin Simon
 Language

 eng
 eng
 Summary
 This monograph is concerned with the analysis and numerical solution of a stochastic inverse anomaly detection problem in electrical impedance tomography (EIT). Martin Simon studies the problem of detecting a parameterized anomaly in an isotropic, stationary and ergodic conductivity random field whose realizations are rapidly oscillating. For this purpose, he derives FeynmanKac formulae to rigorously justify stochastic homogenization in the case of the underlying stochastic boundary value problem. The author combines techniques from the theory of partial differential equations and functional analysis with probabilistic ideas, paving the way to new mathematical theorems which may be fruitfully used in the treatment of the problem at hand. Moreover, the author proposes an efficient numerical method in the framework of Bayesian inversion for the practical solution of the stochastic inverse anomaly detection problem. Contents FeynmanKac formulae Stochastic homogenization Statistical inverse problems Target Groups Students and researchers in the fields of inverse problems, partial differential equations, probability theory and stochastic processes Practitioners in the fields of tomographic imaging and noninvasive testing via EIT About the Author Martin Simon has worked as a researcher at the Institute of Mathematics at the University of Mainz from 2008 to 2014. During this period he had several research stays at the University of Helsinki. He has recently joined an asset management company as a financial mathematician
 http://library.link/vocab/creatorName
 Simon, Martin
 Dewey number
 510
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
 1lzs61Coze8
 Language note
 English
 LC call number
 QA370380
 Literary form
 non fiction
 Nature of contents
 dictionaries
 http://library.link/vocab/subjectName

 Differential equations, partial
 Distribution (Probability theory
 Partial Differential Equations
 Probability Theory and Stochastic Processes
 Numerical and Computational Physics, Simulation
 Label
 Anomaly Detection in Random Heterogeneous Media : FeynmanKac Formulae, Stochastic Homogenization and Statistical Inversion, by Martin Simon, (electronic resource)
 Note
 "Research"Cover
 Bibliography note
 Includes bibliographical references
 Carrier category
 online resource
 Carrier category code

 cr
 Content category
 text
 Content type code

 txt
 Contents
 Part I: Probabilistic interpretation of EIT  Mathematical setting. FeynmanKac formulae  Part II: Anomaly detection in heterogeneous media. Stochastic homogenization: Theory and numerics. Statistical inversion. Appendix A Basic Dirichlet form theory. Appendix B Random field models. Appendix C FEM discretization of the forward problem
 Dimensions
 unknown
 Edition
 1st ed. 2015.
 Extent
 1 online resource (153 p.)
 Form of item
 online
 Isbn
 9783658109936
 Media category
 computer
 Media type code

 c
 Other control number
 10.1007/9783658109936
 Specific material designation
 remote
 System control number

 (CKB)3710000000452157
 (EBL)3567846
 (SSID)ssj0001534599
 (PQKBManifestationID)11823034
 (PQKBTitleCode)TC0001534599
 (PQKBWorkID)11494695
 (PQKB)10415840
 (DEHe213)9783658109936
 (MiAaPQ)EBC3567846
 (EXLCZ)993710000000452157
 Label
 Anomaly Detection in Random Heterogeneous Media : FeynmanKac Formulae, Stochastic Homogenization and Statistical Inversion, by Martin Simon, (electronic resource)
 Note
 "Research"Cover
 Bibliography note
 Includes bibliographical references
 Carrier category
 online resource
 Carrier category code

 cr
 Content category
 text
 Content type code

 txt
 Contents
 Part I: Probabilistic interpretation of EIT  Mathematical setting. FeynmanKac formulae  Part II: Anomaly detection in heterogeneous media. Stochastic homogenization: Theory and numerics. Statistical inversion. Appendix A Basic Dirichlet form theory. Appendix B Random field models. Appendix C FEM discretization of the forward problem
 Dimensions
 unknown
 Edition
 1st ed. 2015.
 Extent
 1 online resource (153 p.)
 Form of item
 online
 Isbn
 9783658109936
 Media category
 computer
 Media type code

 c
 Other control number
 10.1007/9783658109936
 Specific material designation
 remote
 System control number

 (CKB)3710000000452157
 (EBL)3567846
 (SSID)ssj0001534599
 (PQKBManifestationID)11823034
 (PQKBTitleCode)TC0001534599
 (PQKBWorkID)11494695
 (PQKB)10415840
 (DEHe213)9783658109936
 (MiAaPQ)EBC3567846
 (EXLCZ)993710000000452157
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