Consistency of the $k$-nearest neighbors rule for functional data
The problem of nonparametric classification by $k$-nearest neighbors rule in a general metric space will be considered. Consistency and strong consistency of the classifier will be established under mild conditions.
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| Main Author: | |
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| Format: | Article |
| Language: | English |
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Académie des sciences
2023-01-01
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| Series: | Comptes Rendus. Mathématique |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.402/ |
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| Summary: | The problem of nonparametric classification by $k$-nearest neighbors rule in a general metric space will be considered. Consistency and strong consistency of the classifier will be established under mild conditions. |
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| ISSN: | 1778-3569 |