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cs.LG2021★ 1 cited
Topologically penalized regression on manifolds
Olympio Hacquard, Krishnakumar Balasubramanian, Gilles Blanchard +2
We study a regression problem on a compact manifold M. In order to take advantage of the underlying geometry and topology of the data, the regression task is performed on the basis…
math.ST2021
Minimax Boundary Estimation and Estimation with Boundary
Eddie Aamari, Catherine Aaron, Clément Levrard
We derive non-asymptotic minimax bounds for the Hausdorff estimation of -dimensional submanifolds with (possibly) non-empty boundary . The m…