12 citations · 24 across the 3 of their papers we have counts for
3 papers
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.NA2018★ 7 cited
Recursive linearization method for inverse medium scattering problems with complex mixture Gaussian error learning
Junxiong Jia, Bangyu Wu, Jigen Peng +1
This paper is concerned with the modeling errors appeared in the numerical methods of inverse medium scattering problems (IMSP). Optimization based iterative methods are wildly emp…
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…