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Titlebook: Anomaly Detection in Random Heterogeneous Media; Feynman-Kac Formulae Martin Simon Book 2015 Springer Fachmedien Wiesbaden 2015 Calderón’s

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發(fā)表于 2025-3-21 17:39:51 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
期刊全稱Anomaly Detection in Random Heterogeneous Media
期刊簡稱Feynman-Kac Formulae
影響因子2023Martin Simon
視頻videohttp://file.papertrans.cn/159/158034/158034.mp4
發(fā)行地址Publication in the field of natural and mathematical sciences.Includes supplementary material:
圖書封面Titlebook: Anomaly Detection in Random Heterogeneous Media; Feynman-Kac Formulae Martin Simon Book 2015 Springer Fachmedien Wiesbaden 2015 Calderón’s
影響因子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 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.?
Pindex Book 2015
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沙發(fā)
發(fā)表于 2025-3-21 22:26:15 | 只看該作者
板凳
發(fā)表于 2025-3-22 04:03:25 | 只看該作者
https://doi.org/10.1007/978-3-642-58393-3ed on the first stage results is defined and the resulting posterior distribution is sampled via Markov chain Monte Carlo. We provide the theoretical foundation of the proposed method, discuss different aspects of a numerical implementation and present numerical experiments to support our findings.
地板
發(fā)表于 2025-3-22 05:17:39 | 只看該作者
Stochastic homogenization: Theory and numericsato, Kim and Cule [159]. From a mathematical point of view, the novelty of the proposed method lies in the fact that it is based on the aforementioned stochastic homogenization result, that is, on simulation of the underlying diffusion process rather than on the usual discretization of the so-called ..
5#
發(fā)表于 2025-3-22 12:18:50 | 只看該作者
Statistical inversioned on the first stage results is defined and the resulting posterior distribution is sampled via Markov chain Monte Carlo. We provide the theoretical foundation of the proposed method, discuss different aspects of a numerical implementation and present numerical experiments to support our findings.
6#
發(fā)表于 2025-3-22 12:53:26 | 只看該作者
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
7#
發(fā)表于 2025-3-22 19:14:02 | 只看該作者
Barbara Ruttmann,Karl Solchenbachontrast to this well-studied situation, the underlying reflecting diffusion processes in this work are constructed via Dirichlet form theory, which has emerged as a powerful tool when it comes to studying boundary value problems with non-smooth coefficients, boundaries and data.
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發(fā)表于 2025-3-22 22:33:05 | 只看該作者
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發(fā)表于 2025-3-23 03:44:56 | 只看該作者
Book 2015phy (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
10#
發(fā)表于 2025-3-23 08:54:38 | 只看該作者
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