2 citations · 3 across the 8 of their papers we have counts for
8 papers
Bayesian inverse problems using homotopy
Xiao-Mei Yang, Zhi-Liang Deng
In solving Bayesian inverse problems, it is often desirable to use a common density parameterization to denote the prior and posterior. Typically we seek a density from the same fa…
Bayesian approach for limited-aperture inverse acoustic scattering with total variation prior
Xiao-Mei Yang, Zhi-Liang Deng, Ailin Qian
In this work, we apply the Bayesian approach for the acoustic scattering problem to reconstruct the shape of a sound-soft obstacle using the limited-aperture far-field measure data…
A Bayesian level set method for an inverse medium scattering problem in acoustics
J. Huang, Z. Deng, L. Xu
In this work, we are interested in the determination of the shape of the scatterer for the two dimensional time harmonic inverse medium scattering problems in acoustics. The scatte…
An ensemble Kalman filter approach based on level set parameterization for acoustic source identification using multiple frequency information
Zhiliang Deng, Xiaomei Yang
The spatial dependent unknown acoustic source is reconstructed according noisy multiple frequency data on a remote closed surface. Assume that the unknown function is supported on…
A parametric Bayesian level set approach for acoustic source identification using multiple frequency information
Zhiliang Deng, Xiaomei Yang, Jiangfeng Huang
The reconstruction of the unknown acoustic source is studied using the noisy multiple frequency data on a remote closed surface. Assume that the unknown source is coded in a spatia…
Bayesian approach for inverse obstacle scattering with Poisson data
Xiaomei Yang, Zhiliang Deng
We consider an acoustic obstacle reconstruction problem with Poisson data. Due to the stochastic nature of the data, we tackle this problem in the framework of Bayesian inversion.…
Limited Aperture Inverse Scattering Problems using Bayesian Approach and Extended Sampling Method
Zhaoxiang Li, Zhiliang Deng, Jiguang Sun
Inverse scattering problems have many important applications. In this paper, given limited aperture data, we propose a Bayesian method for the inverse acoustic scattering to recons…
Q-Hermite polynomials chaos approximation of likelihood function based on q-Gaussian prior in Bayesian inversion
Zhiliang Deng, Xiaomei Yang
In real applications, the construction of prior and acceleration of sampling for posterior are usually two key points of Bayesian inversion algorithm for engineers. In this paper,…