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Robuste Diskriminanzanalyse×Quadratische Diskriminanzanalyse (QDA)×
FachgebietStatistikMaschinelles Lernen
FamilieRegression modelLatent structure
Entstehungsjahr19971939
UrheberHawkins & McLachlan (high-breakdown LDA); Croux & Dehon (S-estimator robust LDA)Classical Gaussian discriminant analysis (Fisher / Welch lineage)
TypRobust classification / discriminant analysisGenerative Gaussian classifier
Wegweisende QuelleHawkins, D. M. & McLachlan, G. J. (1997). High Breakdown Linear Discriminant Analysis. Journal of the American Statistical Association, 92(437), 136-143. DOI ↗Hastie, T., Tibshirani, R., & Friedman, J. (2009). The Elements of Statistical Learning (2nd ed.). Springer. ISBN: 978-0-387-84857-0
Aliasnamenrobust LDA, high-breakdown discriminant analysis, MCD-based discriminant analysis, Robust Diskriminant AnaliziQDA, quadratic classifier, kuadratik diskriminant analizi
Verwandt52
ZusammenfassungRobust Discriminant Analysis is a classification method that separates groups with a linear discriminant function while resisting the influence of outliers. It replaces the classical mean and covariance with a high-breakdown estimator such as the Minimum Covariance Determinant (MCD), an approach developed by Hawkins & McLachlan (1997) and Croux & Dehon (2001).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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ScholarGateMethoden vergleichen: Robust Discriminant Analysis · Quadratic Discriminant Analysis. Abgerufen am 2026-06-18 von https://scholargate.app/de/compare