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تحلیل تشخیصی خطی (LDA)×تحلیل تبعیضی درجه دوم (QDA)×
حوزهیادگیری ماشینیادگیری ماشین
خانوادهLatent structureLatent structure
سال پیدایش19361939
پدیدآورFisher, R. A.Classical Gaussian discriminant analysis (Fisher / Welch lineage)
نوعSupervised dimensionality reduction and linear classifierGenerative Gaussian classifier
منبع بنیادینFisher, 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
نام‌های دیگرLDA, Fisher's discriminant analysis, Fisher linear discriminant, normal discriminant analysisQDA, quadratic classifier, kuadratik diskriminant analizi
مرتبط42
خلاصهLinear 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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ScholarGateمقایسهٔ روش‌ها: Linear Discriminant Analysis · Quadratic Discriminant Analysis. بازیابی‌شده در 2026-06-18 از https://scholargate.app/fa/compare