534 citations · 2k across the 96 of their papers we have counts for
4 papers · 1 filter
Graph connection Laplacian and random matrices with random blocks
Noureddine El Karoui, Hau-tieng Wu
Graph connection Laplacian (GCL) is a modern data analysis technique that is starting to be applied for the analysis of high dimensional and massive datasets. Motivated by this tec…
A New Test for One-Way ANOVA with Functional Data and Application to Ischemic Heart Screening
Jin-Ting Zhang, Ming-Yen Cheng, Chi-Jen Tseng +1
We propose and study a new global test, namely the -test, for the one-way ANOVA problem in functional data analysis. The test statistic is taken as the maximum value of t…
Spectral Convergence of the connection Laplacian from random samples
Amit Singer, Hau-tieng Wu
Spectral methods that are based on eigenvectors and eigenvalues of discrete graph Laplacians, such as Diffusion Maps and Laplacian Eigenmaps are often used for manifold learning an…
Embedding Riemannian Manifolds by the Heat Kernel of the Connection Laplacian
Hau-tieng Wu
Given a class of closed Riemannian manifolds with prescribed geometric conditions, we introduce an embedding of the manifolds into based on the heat kernel of the Connecti…