Minimax spectral estimation of weighted Laplace operators

Yann Chaubet, Vincent Divol

Given $n$ i.i.d. observations, we study the problem of estimating the spectrum of weighted Laplace operators of the form $\hat{I}{”}_f=\hat{I}”+\hat{I}\pm \nabla \log f\cdot \nabla$, where $f$ is a posi…