4 papers
Multi-dimensional Persistent Sheaf Laplacians for Image Analysis
Xiang Xiang Wang, Guo-Wei Wei
We propose a multi-dimensional persistent sheaf Laplacian (MPSL) framework on simplicial complexes for image analysis. The proposed method is motivated by the strong sensitivity of…
Multiscale Grassmann Manifolds for Single-Cell Data Analysis
Xiang Xiang Wang, Sean Cottrell, Guo-Wei Wei
Single-cell data analysis seeks to characterize cellular heterogeneity based on high-dimensional gene expression profiles. Conventional approaches represent each cell as a vector i…
Novel superconvergence and ultraconvergence structures for the finite volume element method
Xiang Wang, Yuqing Zhang, Zhimin Zhang
This paper develops novel natural superconvergence and ultraconvergence structures for the bi--order finite volume element (FVE) method on rectangular meshes. These structures f…
Color Image Set Recognition Based on Quaternionic Grassmannians
Xiang Xiang Wang, Tin-Yau Tam
We propose a new method for recognizing color image sets using quaternionic Grassmannians, which use the power of quaternions to capture color information and represent each color…