1 citations · 1 across the 4 of their papers we have counts for
4 papers
Spectral stability of empirical metric-measure Laplacians
Vincent Divol
The variance of nonparametric estimators is typically insensitive to the regularity of the object being estimated. We establish such a property for the spectra of graph Laplacian m…
Minimax spectral estimation of weighted Laplace operators
Yann Chaubet, Vincent Divol
Given i.i.d. observations, we study the problem of estimating the spectrum of weighted Laplace operators of the form , where is a positiv…
Measure estimation on a manifold explored by a diffusion process
Vincent Divol, Hélène Guérin, Dinh-Toan Nguyen +1
From the observation of a diffusion path on a compact connected -dimensional manifold without boundary, we consider the problem of estimating…
Measure estimation on manifolds: an optimal transport approach
Vincent Divol
Assume that we observe i.i.d.~points lying close to some unknown -dimensional submanifold in a possibly high-dimensional space. We study the problem of recon…