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<pdf>Media:Draft_Content_652313104_6637_P_IDC6_437.pdf</pdf>

Latest revision as of 09:41, 1 July 2021

Summary

We consider a statistical inversion computational model with Gaussian distributions for the numerical solution of the Cauchy problem for the Laplace equation. The a priori model is built up from Gaussian Markov random fields. Different precision matrices for the Cauchy problem are introduced. We take advantage of the relationship between the a priori distribution and traditional Tikhonov regularization to propose different models where smooth and non-smooth regularization is possible. A low range analysis allow us to estimate the optimal dimension of data and its relation to the the unknown.

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Published on 01/07/21
Accepted on 01/07/21
Submitted on 01/07/21

Volume CT10 - Optimization and Inverse Problems, 2021
DOI: 10.23967/admos.2021.064
Licence: CC BY-NC-SA license

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