Optimal bandwidth estimation for a fast manifold learning algorithm to detect circular structure in high-dimensional data

no code implementations • 28 Dec 2016 • Susovan Pal, Praneeth Vepakomma

We provide a way to infer about existence of topological circularity in high-dimensional data sets in $\mathbb{R}^d$ from its projection in $\mathbb{R}^2$ obtained through a fast manifold learning map as a function of the high-dimensional dataset $\mathbb{X}$ and a particular choice of a positive real $\sigma$ known as bandwidth parameter.