论文标题
伯恩斯坦 - von-n-M-M-MISS定理Calderón问题与分段恒定电导率
A Bernstein--von-Mises theorem for the Calderón problem with piecewise constant conductivities
论文作者
论文摘要
本说明考虑了与分段恒定电导率的有限维度统计模型。在这种情况下，这表明向前图及其线性化的注射率足以证明信息操作员的可逆性，从而导致伯恩斯坦 - von-n-Mins-miss thiorem和最佳保证，可通过贝叶斯后期估算。
This note considers a finite dimensional statistical model for the Calderón problem with piecewise constant conductivities. In this setting it is shown that injectivity of the forward map and its linearisation suffice to prove the invertibility of the information operator, resulting in a Bernstein--von-Mises theorem and optimality guarantees for estimation by Bayesian posterior means.
