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math.NA2022★ 1 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…