5 citations · 10 across the 16 of their papers we have counts for
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A general fractional total variation-Gaussian (GFTG) prior for Bayesian inverse problems
Li-Li Wang, Ming-Hui Ding, Guang-Hui Zheng
In this paper, we investigate the imaging inverse problem by employing an infinite-dimensional Bayesian inference method with a general fractional total variation-Gaussian (GFTG) p…
Shape reconstructions by using plasmon resonances
Ming-Hui Ding, Hongyu Liu, Guang-Hui Zheng
We study the shape reconstruction of an inclusion from the {faraway} measurement of the associated electric field. This is an inverse problem of practical importance in biomedical…
An improved implicit sampling for Bayesian inverse problems of multi-term time fractional multiscale diffusion models
Xiaoyan Song, Lijian Jiang, Guanghui Zheng
This paper presents an improved implicit sampling method for hierarchical Bayesian inverse problems. A widely used approach for sampling posterior distribution is based on Markov c…
Recovering the reaction coefficient for two dimensional time fractional diffusion equations
Xiaoyan Song, Guanghui Zheng, Lijian Jiang
In this paper, we present an inverse problem of identifying the reaction coefficient for time fractional diffusion equations in two dimensional spaces by using boundary Neumann dat…
A dimension reduction method with applications for coefficient inversion of diffusion equations
Fuchen Chen, Lijian Jiang, Guanghui Zheng
In this paper, we present a dimension reduction method to reduce the dimension of parameter space and state space and efficiently solve inverse problems. To this end, proper orthog…