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math.NA2023★ 1 cited
Bayesian inversion for Electrical Impedance Tomography by sparse interpolation
Quang Huy Pham, Viet Ha Hoang
We study the Electrical Impedance Tomography Bayesian inverse problem for recovering the conductivity given noisy measurements of the voltage on some boundary surface electrodes. T…
math.NA2023
Multilevel Markov Chain Monte Carlo for Bayesian Elliptic Inverse Problems with Besov Random Tree Priors
Andreas Stein, Viet Ha Hoang
We propose a multilevel Monte Carlo-FEM algorithm to solve elliptic Bayesian inverse problems with "Besov random tree prior". These priors are given by a wavelet series with stocha…