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Anomaly Detection in Random Heterogeneous Media
Martin Simon
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Description for Anomaly Detection in Random Heterogeneous Media
Paperback. Num Pages: 164 pages, 27 black & white illustrations, biography. BIC Classification: PBKJ; PBT; PHU. Category: (P) Professional & Vocational. Dimension: 210 x 148 x 10. Weight in Grams: 226.
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 Feynman-Kac 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 ... Read more
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 Feynman-Kac 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 ... Read more
Product Details
Format
Paperback
Publication date
2015
Publisher
Springer Fachmedien Wiesbaden Germany
Number of pages
164
Condition
New
Number of Pages
150
Place of Publication
Weisbaden, Germany
ISBN
9783658109929
SKU
V9783658109929
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
About Martin Simon
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.
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