8 citations · 12 across the 6 of their papers we have counts for
4 papers · 1 filter
Sparse Higher Order Čech Filtrations
Mickaël Buchet, Bianca B. Dornelas, Michael Kerber
For a finite set of balls of radius , the -fold cover is the space covered by at least balls. Fixing the ball centers and varying the radius, we obtain a nested sequence…
Declutter and Resample: Towards parameter free denoising
Mickaël Buchet, Tamal K. Dey, Jiayuan Wang +1
In many data analysis applications the following scenario is commonplace: we are given a point set that is supposed to sample a hidden ground truth in a metric space, but it go…
Topological analysis of scalar fields with outliers
Mickaël Buchet, Frédéric Chazal, Tamal K. Dey +3
Given a real-valued function defined over a manifold embedded in , we are interested in recovering structural information about from the sole information…
Efficient and Robust Persistent Homology for Measures
Mickael Buchet, Frederic Chazal, Steve Y. Oudot +1
We extend the notion of the distance to a measure from Euclidean space to probability measures on general metric spaces as a way to do topological data analysis in a way that is ro…