[Consistance de la règle des -plus proches voisins pour des données fonctionnelles]
The problem of nonparametric classification by -nearest neighbors rule in a general metric space will be considered. Consistency and strong consistency of the classifier will be established under mild conditions.
Le problème de la classification non paramétrique par la règle des - plus proches voisins dans un espace métrique général sera considéré. La consistance et la forte consistance du classifieur seront établies sous des conditions légères.
Accepté le :
Publié le :
Younso, Ahmad 1, 2
CC-BY 4.0
@article{CRMATH_2023__361_G1_237_0,
author = {Younso, Ahmad},
title = {Consistency of the $k$-nearest neighbors rule for functional data},
journal = {Comptes Rendus. Math\'ematique},
pages = {237--242},
year = {2023},
publisher = {Acad\'emie des sciences, Paris},
volume = {361},
number = {G1},
doi = {10.5802/crmath.402},
language = {en},
url = {https://www.numdam.org/articles/10.5802/crmath.402/}
}
TY - JOUR AU - Younso, Ahmad TI - Consistency of the $k$-nearest neighbors rule for functional data JO - Comptes Rendus. Mathématique PY - 2023 SP - 237 EP - 242 VL - 361 IS - G1 PB - Académie des sciences, Paris UR - https://www.numdam.org/articles/10.5802/crmath.402/ DO - 10.5802/crmath.402 LA - en ID - CRMATH_2023__361_G1_237_0 ER -
%0 Journal Article %A Younso, Ahmad %T Consistency of the $k$-nearest neighbors rule for functional data %J Comptes Rendus. Mathématique %D 2023 %P 237-242 %V 361 %N G1 %I Académie des sciences, Paris %U https://www.numdam.org/articles/10.5802/crmath.402/ %R 10.5802/crmath.402 %G en %F CRMATH_2023__361_G1_237_0
Younso, Ahmad. Consistency of the $k$-nearest neighbors rule for functional data. Comptes Rendus. Mathématique, Tome 361 (2023) no. G1, pp. 237-242. doi: 10.5802/crmath.402
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