38 citations · 39 across the 4 of their papers we have counts for
6 papers
Persistent Intrinsic Volumes
David Cohen-Steiner, Antoine Commaret
We develop a new method to estimate the area, and more generally the intrinsic volumes, of a compact subset of from a set that is close in the Hausdorff dist…
Spectral Properties of Radial Kernels and Clustering in High Dimensions
David Cohen-Steiner, Alba Chiara de Vitis
In this paper, we study the spectrum and the eigenvectors of radial kernels for mixtures of distributions in . Our approach focuses on high dimensions and relies sole…
Approximating the Spectrum of a Graph
David Cohen-Steiner, Weihao Kong, Christian Sohler +1
The spectrum of a network or graph with adjacency matrix , consists of the eigenvalues of the normalized Laplacian . This set of eigenvalue…
A transfer principle and applications to eigenvalue estimates for graphs
Omid Amini, David Cohen-Steiner
In this paper, we prove a variant of the Burger-Brooks transfer principle which, combined with recent eigenvalue bounds for surfaces, allows to obtain upper bounds on the eigenvalu…
Stability of Curvature Measures
Frédéric Chazal, David Cohen-Steiner, André Lieutier +1
We address the problem of curvature estimation from sampled compact sets. The main contribution is a stability result: we show that the gaussian, mean or anisotropic curvature meas…
Stability of boundary measures
Frédéric Chazal, David Cohen-Steiner, Quentin Mérigot
We introduce the boundary measure at scale r of a compact subset of the n-dimensional Euclidean space. We show how it can be computed for point clouds and suggest these measures ca…