2 papers
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.CO2024
Bayesian inversion with Student's t priors based on Gaussian scale mixtures
Angelina Senchukova, Felipe Uribe, Lassi Roininen
Many inverse problems focus on recovering a quantity of interest that is a priori known to exhibit either discontinuous or smooth behavior. Within the Bayesian approach to inverse…