A Bayesian Level Set Method for Geometric Inverse Problems

来源 :第八届工业与应用数学国际大会 | 被引量 : 0次 | 上传用户：achm207

【摘要】

：

　　We develop a novel Bayesian level set approach for geometric inverse problems that arise in PDE-constrained applications.Our work consists of a rigorous app

【作者】

：

LuYulong;

【机构】

：

Univ.of Warwick

【出处】

：

第八届工业与应用数学国际大会

【发表日期】

：

2015年期

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　　We develop a novel Bayesian level set approach for geometric inverse problems that arise in PDE-constrained applications.Our work consists of a rigorous application of the infinite-dimensional Bayesian framework whereby proving the measurability of the observational map that arises from our level-set representation enables us to show existence and well-posedness of the posterior measure.

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