71 citations · 184 across the 11 of their papers we have counts for
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stat.ML2010★ 3 cited
Minimax Manifold Estimation
Christopher Genovese, Marco Perone-Pacifico, Isabella Verdinelli +1
We find the minimax rate of convergence in Hausdorff distance for estimating a manifold M of dimension d embedded in R^D given a noisy sample from the manifold. We assume that the…
math.ST2010★ 5 cited
The Geometry of Nonparametric Filament Estimation
Christopher R. Genovese, Marco Perone-Pacifico, Isabella Verdinelli +1
We consider the problem of estimating filamentary structure from planar point process data. We make some connections with computational geometry and we develop nonparametric method…