Paper Publications
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[1]
A persistent-homology-based Bayesian prior for potential coefficient reconstruction in an elliptic partial differential equation,Zhiliang Deng, Haiyang Liu, Xiaofei Guan, Zhiyuan Wang, Xiaomei Yang(本人).Statistics and Computing
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[2]
Convergence of spectral likelihood approximation based on q-Hermite polynomials for Bayesian inverse problems.Proceedings of the American Mathematical Society, 2022, 150(11): 4699-4713.
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[3]
Bayesian approach for limited-aperture inverse acoustic scattering with total variation prior.Applicable Analysis, doi.org/10.1080/00036811.2022.2116014, 2023.
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[4]
The products of three theta functions and the general cubic theta functions,Yang,Xiao-Mei.Acta Math,2010
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[5]
A data assimilation process for linear ill-posed problems, Mathematical Methods in the Applied Sciences,Yang,Xiao-Mei,Deng,Zhi-Liang.Mathematical Methods in the Applied Sciences,2017
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[6]
An ensemble Kalman filter approach based on operator splitting for solving nonlinear Hammerstein type ill-posed operator equations,Yang,Xiao-Mei,Deng,Zhi-Liang.Modern Physics Letters B,2018
Patents
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Published Books
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