Anomaly Detection in Random Heterogeneous Media: Feynman-Kac - download pdf or read online

By Martin Simon

This monograph is anxious with the research and numerical resolution of a stochastic inverse anomaly detection challenge in electric impedance tomography (EIT). Martin Simon experiences the matter of detecting a parameterized anomaly in an isotropic, desk bound and ergodic conductivity random box whose realizations are swiftly oscillating. For this goal, he derives Feynman-Kac formulae to scrupulously justify stochastic homogenization in relation to the underlying stochastic boundary price challenge. the writer combines innovations from the idea of partial differential equations and sensible research with probabilistic rules, paving how to new mathematical theorems that may be fruitfully utilized in the remedy of the matter to hand. additionally, the writer proposes an effective numerical approach within the framework of Bayesian inversion for the sensible answer of the stochastic inverse anomaly detection problem. 

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Anomaly Detection in Random Heterogeneous Media: Feynman-Kac Formulae, Stochastic Homogenization and Statistical Inversion by Martin Simon


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