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主成分分析×因子分析×階層的クラスタリング×Lasso回帰×
分野機械学習研究統計機械学習機械学習
系統Machine learningProcess / pipelineMachine learningMachine learning
提唱年2002193119631996
提唱者Jolliffe, I.T. (textbook); Pearson & Hotelling (origins)Louis Leon ThurstoneWard, J. H.Tibshirani, R.
種類Unsupervised dimensionality reductionMethodUnsupervised clustering (agglomerative)Regularized linear regression (L1 penalty)
原典Jolliffe, I.T. (2002). Principal Component Analysis (2nd ed.). Springer. DOI ↗Thurstone, L. L. (1947). Multiple Factor Analysis. University of Chicago Press. DOI ↗Ward, J. H. (1963). Hierarchical Grouping to Optimize an Objective Function. Journal of the American Statistical Association, 58(301), 236–244. DOI ↗Tibshirani, R. (1996). Regression Shrinkage and Selection via the Lasso. Journal of the Royal Statistical Society: Series B, 58(1), 267–288. DOI ↗
別名Temel Bileşenler Analizi (PCA), PCA, principal components analysis, Karhunen-Loève transformEFA, CFA, latent variable modelingHiyerarşik Kümeleme, hiyerarşik kümeleme, agglomerative clustering, hierarchical agglomerative clusteringLASSO Regresyonu, lasso, L1-regularized regression, L1 regularization
関連3344
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.Factor analysis is a statistical technique for identifying latent (unobserved) dimensions underlying observed variables, developed by Louis Leon Thurstone in the 1930s and formalized by Jöreskog (1969). Exploratory factor analysis (EFA) discovers unknown factor structure from data; confirmatory factor analysis (CFA) tests hypothesized relationships between observed and latent variables. Essential in psychometrics (test development), organizational research (measuring constructs like leadership style), and biomedicine (identifying disease subtypes), factor analysis reduces dimensionality while revealing conceptual organization in multivariate data.Hierarchical clustering is an unsupervised method that groups observations into nested clusters and draws the result as a dendrogram, so the number of clusters need not be fixed in advance. Its agglomerative form rests on the objective-function grouping criterion introduced by Joe Ward in 1963.Lasso regression, introduced by Robert Tibshirani in 1996, is a linear regression method that adds an L1 penalty to the loss so that it shrinks coefficients and performs variable selection at the same time, producing a sparse model. By driving some coefficients exactly to zero it keeps only the predictors that matter.
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ScholarGate手法を比較: Principal Component Analysis · Factor Analysis · Hierarchical Clustering · Lasso Regression. 2026-06-17に以下より取得 https://scholargate.app/ja/compare