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stat.CO2024
Continuous Gaussian mixture solution for linear Bayesian inversion with application to Laplace priors
Rafael Flock, Yiqiu Dong, Felipe Uribe +1
We focus on Bayesian inverse problems with Gaussian likelihood, linear forward model, and priors that can be formulated as a Gaussian mixture. Such a mixture is expressed as an int…
stat.CO2022
Certified Dimension Reduction for Bayesian Updating with the Cross-Entropy Method
Max Ehre, Rafael Flock, Martin Fußeder +2
In inverse problems, the parameters of a model are estimated based on observations of the model response. The Bayesian approach is powerful for solving such problems; one formulate…