Continuous Gaussian mixture solution for linear Bayesian inversion with application to Laplace priors

R Flock, Y Dong, F Uribe, O Zahm - arxiv preprint arxiv:2408.16594, 2024 - arxiv.org
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 …

Dimension reduction methods for Bayesian inversion with applications in image reconstruction

R Flock - 2024 - orbit.dtu.dk
In imaging applications such as image denoising, image deblurring, and computed
tomography images are reconstructed from noisy data in the framework of inverse problems …