1 citations · 2 across the 2 of their papers we have counts for
8 papers
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…
Studies on an inverse source problem for a space-time fractional diffusion equation by constructing a strong maximum principle
Junxiong Jia, Jigen Peng, Jiaqing Yang
In this paper, we focus on a space-time fractional diffusion equation with the generalized Caputo's fractional derivative operator and a general space nonlocal operator (with the f…
Maximum principles for a time-space fractional diffusion equation
Junxiong Jia, Kexue Li
In this paper, we focus on maximum principles of a time-space fractional diffusion equation. Maximum principles for classical solution and weak solution are all obtained by using p…