most citedA parametric Bayesian level set approach for acoustic source identification using multiple frequency information

2 citations · 3 across the 4 of their papers we have counts for

collaborators

5 papers

math.NA20221 cited

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…

math.NA2022

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…

math.NA2019

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…

math.NA20192 cited

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…

math.NA2019

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.…