Henry-Louis de Kergorlay

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20192021

most citedRandom Čech Complexes on Manifolds with Boundary

10 citations · 10 across the 3 of their papers we have counts for

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math.PR2021

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 $R^{d}$ , and study its connectivity. We show the graph is typically disconn…

math.PR2019

Random Čech complexes on $R^{d}$ : decrackling the noise with local scalings

Henry-Louis de Kergorlay

We investigate the homology of an unbounded noisy sample on $R^{d}$ , under various assumptions on the sampling density. This investigation is based on previous results by Ad…

math.PR2019★ 10 cited

Random Čech Complexes on Manifolds with Boundary

Henry-Louis de Kergorlay, Ulrike Tillmann, Oliver Vipond

Let $M$ 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 $M$ …

Which Sampling Densities are Suitable for Spectral Clustering on Unbounded Domains?

Random Čech complexes on Rd: decrackling the noise with local scalings

Random Čech Complexes on Manifolds with Boundary

Random Čech complexes on $R^{d}$ : decrackling the noise with local scalings