2 papers
math.SP2018
Geometric Data Analysis Across Scales via Laplacian Eigenvector Cascading
Joshua L. Mike, Jose A. Perea
We develop here an algorithmic framework for constructing consistent multiscale Laplacian eigenfunctions (vectors) on data. Consequently, we address the unsupervised machine learni…
math.ST2018
Nonparametric Estimation of Probability Density Functions of Random Persistence Diagrams
Joshua Lee Mike, Vasileios Maroulas
We introduce a nonparametric way to estimate the global probability density function for a random persistence diagram. Precisely, a kernel density function centered at a given pers…