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math.NA2025
sparseGeoHOPCA: A Geometric Solution to Sparse Higher-Order PCA Without Covariance Estimation
Renjie Xu, Chong Wu, Maolin Che +3
We propose sparseGeoHOPCA, a novel framework for sparse higher-order principal component analysis (SHOPCA) that introduces a geometric perspective to high-dimensional tensor decomp…
math.NA2025★ 1 cited
LU Decomposition and Generalized Autoone-Takagi Decomposition of Dual Matrices and their Applications
Renjie Xu, Yimin Wei, Hong Yan
This paper uses matrix transformations to provide the Autoone-Takagi decomposition of dual complex symmetric matrices and extends it to dual quaternion -Hermitian matrices. The…
math.NA2024★ 1 cited
QR Decomposition of Dual Matrices and its Application to Traveling Wave Identification in the Brain
Renjie Xu, Tong Wei, Yimin Wei +1
Matrix decompositions in dual number representations have played an important role in fields such as kinematics and computer graphics in recent years. In this paper, we present a Q…