A Hadamard fractional total variation-Gaussian (HFTG) prior for Bayesian inverse problems
A Hadamard fractional total variation-Gaussian (HFTG) prior for Bayesian inverse problems
This paper studies the infinite-dimensional Bayesian inference method with Hadamard fractional total variation-Gaussian (HFTG) prior for solving inverse problems. First, Hadamard fractional Sobolev space is established and proved to be a separable Banach space under some mild conditions. Afterwards, the HFTG prior is constructed in this separable fractional space, and …