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Density estimation on an unknown submanifold

Berenfeld, Clément; Hoffmann, Marc (2021), Density estimation on an unknown submanifold, Electronic Journal of Statistics, 15, 1, p. 2179-2223. 10.1214/21-EJS1826

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Type
Article accepté pour publication ou publié
Date
2021
Journal name
Electronic Journal of Statistics
Volume
15
Number
1
Publisher
Institute of Mathematical Statistics
Published in
Paris
Pages
2179-2223
Publication identifier
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Author(s)
Berenfeld, Clément
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Hoffmann, Marc
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Abstract (EN)
We investigate density estimation from a n-sample in the Euclidean space RD, when the data is supported by an unknown submanifold M of possibly unknown dimension d
Subjects / Keywords
Point clouds; manifold reconstruction; nonparametric estimation; adaptive density estimation; kernel methods; Lepski's method