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| Quadratische Diskriminanzanalyse (QDA)× | Lineare Diskriminanzanalyse (LDA)× | |
|---|---|---|
| Fachgebiet | Maschinelles Lernen | Maschinelles Lernen |
| Familie | Latent structure | Latent structure |
| Entstehungsjahr≠ | 1939 | 1936 |
| Urheber≠ | Classical Gaussian discriminant analysis (Fisher / Welch lineage) | Fisher, R. A. |
| Typ≠ | Generative Gaussian classifier | Supervised dimensionality reduction and linear classifier |
| Wegweisende Quelle≠ | Hastie, T., Tibshirani, R., & Friedman, J. (2009). The Elements of Statistical Learning (2nd ed.). Springer. ISBN: 978-0-387-84857-0 | Fisher, R. A. (1936). The use of multiple measurements in taxonomic problems. Annals of Eugenics, 7(2), 179–188. DOI ↗ |
| Aliasnamen≠ | QDA, quadratic classifier, kuadratik diskriminant analizi | LDA, Fisher's discriminant analysis, Fisher linear discriminant, normal discriminant analysis |
| Verwandt≠ | 2 | 4 |
| Zusammenfassung≠ | 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. | 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. |
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