Comparer des méthodes
Examinez les méthodes sélectionnées côte à côte ; les lignes qui diffèrent sont mises en évidence.
| Analyse discriminante linéaire (ADL)× | Analyse discriminante quadratique (QDA)× | |
|---|---|---|
| Domaine | Apprentissage automatique | Apprentissage automatique |
| Famille | Latent structure | Latent structure |
| Année d'origine≠ | 1936 | 1939 |
| Auteur d'origine≠ | Fisher, R. A. | Classical Gaussian discriminant analysis (Fisher / Welch lineage) |
| Type≠ | Supervised dimensionality reduction and linear classifier | Generative Gaussian classifier |
| Source fondatrice≠ | Fisher, R. A. (1936). The use of multiple measurements in taxonomic problems. Annals of Eugenics, 7(2), 179–188. DOI ↗ | Hastie, T., Tibshirani, R., & Friedman, J. (2009). The Elements of Statistical Learning (2nd ed.). Springer. ISBN: 978-0-387-84857-0 |
| Alias≠ | LDA, Fisher's discriminant analysis, Fisher linear discriminant, normal discriminant analysis | QDA, quadratic classifier, kuadratik diskriminant analizi |
| Apparentées≠ | 4 | 2 |
| Résumé≠ | Linear Discriminant Analysis is a supervised method for dimensionality reduction and classification, introduced by Ronald A. Fisher in 1936, that finds linear combinations of features which maximally separate predefined classes while preserving as much class-discriminatory information as possible. It simultaneously serves as a feature-projection technique and a probabilistic classifier, making it one of the foundational methods in pattern recognition and statistical learning. | Quadratic discriminant analysis is a generative classifier that models each class with its own multivariate Gaussian distribution, allowing each class a separate covariance matrix. Unlike linear discriminant analysis, which assumes a shared covariance and yields linear boundaries, QDA's per-class covariances produce curved (quadratic) decision boundaries, letting it capture differences in the spread and orientation of the classes. |
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