4 papers
Unique and Stable Recovery of Space-Variable Order in Multidimensional Subdiffusion
Jiho Hong, Bangti Jin, Yavar Kian
In this work we investigate the unique identifiability and stable recovery of a spatially dependent variable-order in the subdiffusion model from the boundary flux measurement. We…
Solving Inverse Acoustic Obstacle Scattering Problem with Phaseless Far-Field Measurement Using Deep Neural Network Surrogates
Yuxin Fan, Jiho Hong, Bangti Jin
In this work, we investigate the use of deep neural networks (DNNs) as surrogates for solving the inverse acoustic scattering problem of recovering a sound-soft obstacle from phase…
Direct Algorithms for Reconstructing Small Conductivity Inclusions in Subdiffusion
Jiho Hong, Bangti Jin, Zhizhang Wu
The subdiffusion model that involves a Caputo fractional derivative in time is widely used to describe anomalously slow diffusion processes. In this work we aim at recovering the l…
Theory and Fast Learned Solver for -TV Regularization
Xinling Liu, Jianjun Wang, Bangti Jin
The and total variation (TV) penalties have been used successfully in many areas, and the combination of the and TV penalties can lead to further improved perform…