12 citations · 64 across the 21 of their papers we have counts for
5 papers · 1 filter
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…
An adaptive augmented regularization method and its applications
Junxiong Jia, Qihang Sun, Bangyu Wu +1
Regularization method and Bayesian inverse method are two dominating ways for solving inverse problems generated from various fields, e.g., seismic exploration and medical imaging.…
Iterative thresholding algorithm based on non-convex method for modified lp-norm regularization minimization
Angang Cui, Jigen Peng, Haiyang Li +2
Recently, the -norm regularization minimization problem has attracted great attention in compressed sensing. However, the -norm in problem…
A New Nonconvex Strategy to Affine Matrix Rank Minimization Problem
Angang Cui, Jigen Peng, Haiyang Li +2
The affine matrix rank minimization (AMRM) problem is to find a matrix of minimum rank that satisfies a given linear system constraint. It has many applications in some important a…
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…