2.6k citations · 4.2k across the 77 of their papers we have counts for
77 papers
PLPCA: Persistent Laplacian Enhanced-PCA for Microarray Data Analysis
Sean Cottrell, Rui Wang, Guowei Wei
Over the years, Principal Component Analysis (PCA) has served as the baseline approach for dimensionality reduction in gene expression data analysis. It primary objective is to ide…
Persistent Path Laplacian
Rui Wang, Guo-Wei Wei
Path homology proposed by S.-T.Yau and his co-workers provides a new mathematical model for directed graphs and networks. Persistent path homology (PPH) extends the path homology w…
CCP: Correlated Clustering and Projection for Dimensionality Reduction
Yuta Hozumi, Rui Wang, Guo-Wei Wei
Most dimensionality reduction methods employ frequency domain representations obtained from matrix diagonalization and may not be efficient for large datasets with relatively high…
Geometric algebra generation of molecular surfaces
Azzam Alfarraj, Guo-Wei Wei
Geometric algebra is a powerful framework that unifies mathematics and physics. Since its revival in the middle of the 1960s by David Hestenes, it attracts great attention and has…
Persistent sheaf Laplacians
Xiaoqi Wei, Guo-Wei Wei
Recently various types of topological Laplacians have been studied from the perspective of data analysis. The spectral theory of these Laplacians has significantly extended the sco…
The evolution of the mechanisms of SARS-CoV-2 evolution revealing vaccine-resistant mutations in Europe and America
Rui Wang, Jiahui Chen, Guo-Wei Wei
The importance of understanding SARS-CoV-2 evolution cannot be overemphasized. Recent studies confirm that natural selection is the dominating mechanism of SARS-CoV-2 evolution, wh…