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| HAL : hal-00675553, version 2 |
| arXiv : 1203.0193 |
| Fiche détaillée |  Récupérer au format |
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| Versions disponibles : | v1 (01-03-2012) | v2 (23-07-2012) |
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| Vapnik-Chervonenkis Dimension of Axis-Parallel Cuts |
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| Servane Gey 1 |
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| (23/07/2012) |
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| The Vapnik-Chervonenkis (VC) dimension of the set of half-spaces of R^d with frontiers parallel to the axes is computed exactly. It is shown that it is much smaller than the intuitive value of d. A good approximation based on the Stirling's formula proves that it is more likely of the order log_2(d). This result may be used to evaluate the performance of classifiers or regressors based on dyadic partitioning of R^d for instance. Algorithms using axis-parallel cuts to partition R^d are often used to reduce the computational time of such estimators when d is large. |
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| 1 : | Mathématiques appliquées Paris 5 (MAP5) |
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CNRS : UMR8145 – Université Paris V - Paris Descartes |
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| Domaine | : | Mathématiques/Statistiques Statistiques/Théorie |
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| Vapnik-Chervonenkis dimension – axis-parallel cuts |
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| Liste des fichiers attachés à ce document : | |||||
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| hal-00675553, version 2 | |
| http://hal.archives-ouvertes.fr/hal-00675553 | |
| oai:hal.archives-ouvertes.fr:hal-00675553 | |
| Contributeur : Servane Gey | |
| Soumis le : Lundi 23 Juillet 2012, 16:29:24 | |
| Dernière modification le : Lundi 23 Juillet 2012, 21:11:49 | |
