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主成分分析×ロバスト共分散推定 (MCD)×
分野機械学習統計学
系統Machine learningRegression model
提唱年20021999
提唱者Jolliffe, I.T. (textbook); Pearson & Hotelling (origins)Rousseeuw; Rousseeuw & Van Driessen (Fast-MCD)
種類Unsupervised dimensionality reductionRobust multivariate location-scatter estimator
原典Jolliffe, I.T. (2002). Principal Component Analysis (2nd ed.). Springer. DOI ↗Rousseeuw, P. J. & Van Driessen, K. (1999). A Fast Algorithm for the Minimum Covariance Determinant Estimator. Technometrics, 41(3), 212-223. DOI ↗
別名Temel Bileşenler Analizi (PCA), PCA, principal components analysis, Karhunen-Loève transformminimum covariance determinant, MCD estimator, robust covariance estimation, Robust Kovaryans Tahmini (MCD)
関連34
概要Principal Component Analysis (PCA) is an unsupervised dimensionality-reduction method — given its modern textbook treatment by Ian Jolliffe (2002) — that compresses high-dimensional data into fewer dimensions while preserving the maximum possible variance. It re-expresses correlated variables as a small set of uncorrelated principal components ordered by how much of the data's variation each one captures.Robust Covariance via the Minimum Covariance Determinant (MCD) estimates a multivariate mean vector and covariance matrix that are not distorted by outliers. It was made practical by the Fast-MCD algorithm of Rousseeuw and Van Driessen (1999), building on Rousseeuw's earlier work on robust estimation.
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ScholarGate手法を比較: Principal Component Analysis · Robust Covariance (MCD). 2026-06-18に以下より取得 https://scholargate.app/ja/compare