6 citations · 9 across the 19 of their papers we have counts for
5 papers · 1 filter
Stable determination of an elastic medium scatterer by a single far-field measurement and beyond
Zhengjian Bai, Huaian Diao, Hongyu Liu +1
We are concerned with the time-harmonic elastic scattering due to an inhomogeneous elastic material inclusion located inside a uniformly homogeneous isotropic medium. We establish…
A Riemannian Inexact Newton Dogleg Method for Constructing a Symmetric Nonnegative Matrix with Prescribed Spectrum
Zhi Zhao, Teng-Teng Yao, Zheng-Jian Bai +1
This paper is concerned with the inverse problem of constructing a symmetric nonnegative matrix from realizable spectrum. We reformulate the inverse problem as an underdetermined n…
A Column-Wise Update Algorithm for Sparse Stochastic Matrix Factorization
Guiyun Xiao, Zheng-Jian Bai, Wai-Ki Ching
Nonnegative matrix factorization arises widely in machine learning and data analysis. In this paper, for a given factorization of rank r, we consider the sparse stochastic matrix f…
A geometric proximal gradient method for sparse least squares regression with probabilistic simplex constraint
Guiyun Xiao, Zheng-Jian Bai
In this paper, we consider the sparse least squares regression problem with probabilistic simplex constraint. Due to the probabilistic simplex constraint, one could not apply the L…
Effective medium theory for embedded obstacles in elasticity with applications to inverse problems
Zhengjian Bai, Huaian Diao, Hongyu Liu +1
We consider the time-harmonic elastic wave scattering from a general (possibly anisotropic) inhomogeneous medium with an embedded impenetrable obstacle. We show that the impenetrab…