We find lower and upper bounds for the risk of estimating a manifold in Hausdorff distance under several models. We also show that there are close connections between manifold estimation and the problem of deconvolving a singular measure.
Manifold estimation and singular deconvolution under Hausdorff loss / Genovese, Christopher R.; Perone Pacifico, Marco; Verdinelli, Isabella; Wasserman, Larry. - In: ANNALS OF STATISTICS. - ISSN 0090-5364. - 40:2(2012), pp. 941-963. [10.1214/12-aos994]
Manifold estimation and singular deconvolution under Hausdorff loss
Marco Perone Pacifico;
2012
Abstract
We find lower and upper bounds for the risk of estimating a manifold in Hausdorff distance under several models. We also show that there are close connections between manifold estimation and the problem of deconvolving a singular measure.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
2012_annals.pdf
Open Access
Tipologia:
Versione dell'editore
Licenza:
DRM non definito
Dimensione
248.16 kB
Formato
Adobe PDF
|
248.16 kB | Adobe PDF | Visualizza/Apri |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
