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math.ST2018★ 5 cited
Posterior contraction for empirical Bayesian approach to inverse problems under non-diagonal assumption
Junxiong Jia, Jigen Peng, Jinghuai Gao
We investigate an empirical Bayesian nonparametric approach to a family of linear inverse problems with Gaussian prior and Gaussian noise. We consider a class of Gaussian prior pro…
math.ST2015★ 12 cited
Bayesian approach to inverse problems for functions with variable index Besov prior
Junxiong Jia, Jigen Peng, Jinghuai Gao
We adopt Bayesian approach to consider the inverse problem of estimate a function from noisy observations. One important component of this approach is the prior measure. Total vari…