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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| 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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| _version_ | 1825206292541603840 |
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| author | Younso, Ahmad |
| author_facet | Younso, Ahmad |
| author_sort | Younso, Ahmad |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-30b5b8f324ad4d8db89d4426d9844253 |
| institution | Kabale University |
| issn | 1778-3569 |
| language | English |
| publishDate | 2023-01-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mathématique |
| spelling | doaj-art-30b5b8f324ad4d8db89d4426d98442532025-02-07T11:06:07ZengAcadémie des sciencesComptes Rendus. Mathématique1778-35692023-01-01361G123724210.5802/crmath.40210.5802/crmath.402Consistency of the $k$-nearest neighbors rule for functional dataYounso, Ahmad0Department of mathematical statistics, Damascus university, Damascus, Syria; MISTEA, Université Montpellier, INRAE, Institut Agro,Montpellier, FranceThe 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.https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.402/ |
| spellingShingle | Younso, Ahmad Consistency of the $k$-nearest neighbors rule for functional data Comptes Rendus. Mathématique |
| title | Consistency of the $k$-nearest neighbors rule for functional data |
| title_full | Consistency of the $k$-nearest neighbors rule for functional data |
| title_fullStr | Consistency of the $k$-nearest neighbors rule for functional data |
| title_full_unstemmed | Consistency of the $k$-nearest neighbors rule for functional data |
| title_short | Consistency of the $k$-nearest neighbors rule for functional data |
| title_sort | consistency of the k nearest neighbors rule for functional data |
| url | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.402/ |
| work_keys_str_mv | AT younsoahmad consistencyoftheknearestneighborsruleforfunctionaldata |