Download PDF by Martin Simon: Anomaly Detection in Random Heterogeneous Media: Feynman-Kac

By Martin Simon

This monograph is worried with the research and numerical answer of a stochastic inverse anomaly detection challenge in electric impedance tomography (EIT). Martin Simon reports the matter of detecting a parameterized anomaly in an isotropic, desk bound and ergodic conductivity random box whose realizations are speedily oscillating. For this function, he derives Feynman-Kac formulae to scrupulously justify stochastic homogenization in relation to the underlying stochastic boundary price challenge. the writer combines ideas from the idea of partial differential equations and sensible research with probabilistic rules, paving the best way to new mathematical theorems that could be fruitfully utilized in the therapy of the matter to hand. in addition, the writer proposes a good numerical procedure 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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