10 citations · 10 across the 3 of their papers we have counts for
4 papers
Which Sampling Densities are Suitable for Spectral Clustering on Unbounded Domains?
Henry-Louis de Kergorlay
We consider a random geometric graph with vertices sampled from a probability measure supported on , and study its connectivity. We show the graph is typically disconn…
Consistency of Anchor-based Spectral Clustering
Henry-Louis de Kergorlay, Desmond John Higham
Anchor-based techniques reduce the computational complexity of spectral clustering algorithms. Although empirical tests have shown promising results, there is currently a lack of t…
Random Čech complexes on : decrackling the noise with local scalings
Henry-Louis de Kergorlay
We investigate the homology of an unbounded noisy sample on , under various assumptions on the sampling density. This investigation is based on previous results by Ad…
Random Čech Complexes on Manifolds with Boundary
Henry-Louis de Kergorlay, Ulrike Tillmann, Oliver Vipond
Let be a compact, unit volume, Riemannian manifold with boundary. In this paper we study the homology of a random Čech-complex generated by a homogeneous Poisson process in …