52 citations · 385 across the 25 of their papers we have counts for
4 papers · 1 filter
Stochastic mirror descent method for linear ill-posed problems in Banach spaces
Qinian Jin, Xiliang Lu, Liuying Zhang
Consider linear ill-posed problems governed by the system for , where each is a bounded linear operator from a Banach space to a Hilbert sp…
Imaging Conductivity from Current Density Magnitude using Neural Networks
Bangti Jin, Xiyao Li, Xiliang Lu
Conductivity imaging represents one of the most important tasks in medical imaging. In this work we develop a neural network based reconstruction technique for imaging the conducti…
Imaging Anisotropic Conductivities from Current Densities
Huan Liu, Bangti Jin, Xiliang Lu
In this paper, we propose and analyze a reconstruction algorithm for imaging an anisotropic conductivity tensor in a second-order elliptic PDE with a nonzero Dirichlet boundary con…
Convergence Rate Analysis of Galerkin Approximation of Inverse Potential Problem
Bangti Jin, Xiliang Lu, Qimeng Quan +1
In this work we analyze the inverse problem of recovering the space-dependent potential coefficient in an elliptic / parabolic problem from distributed observation. We establish no…