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ロジスティック回帰×主成分分析×リッジ回帰×
分野研究統計機械学習機械学習
系統Process / pipelineMachine learningMachine learning
提唱年195820021970
提唱者David Roxbee CoxJolliffe, I.T. (textbook); Pearson & Hotelling (origins)Hoerl, A.E. & Kennard, R.W.
種類MethodUnsupervised dimensionality reductionL2-regularized linear regression
原典Cox, D. R. (1958). The regression analysis of binary sequences. Journal of the Royal Statistical Society, Series B, 20(2), 215–242. DOI ↗Jolliffe, I.T. (2002). Principal Component Analysis (2nd ed.). Springer. DOI ↗Hoerl, A.E. & Kennard, R.W. (1970). Ridge Regression: Biased Estimation for Nonorthogonal Problems. Technometrics, 12(1), 55–67. DOI ↗
別名logit model, binomial logistic regression, LRTemel Bileşenler Analizi (PCA), PCA, principal components analysis, Karhunen-Loève transformRidge Regresyonu, ridge regresyonu, L2-regularized regression, Tikhonov regularization
関連334
概要Logistic regression is a statistical method for modeling the probability of a binary outcome (disease present/absent, success/failure) as a function of continuous and categorical predictors. Developed by David Roxbee Cox (1958), it solves the problem of predicting categorical outcomes by applying a logistic transformation to constrain predictions to the [0,1] probability interval, enabling accurate risk stratification, diagnostic prediction, and causal inference in epidemiology, medicine, and social science.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.Ridge Regression is an L2-regularized linear regression method, introduced by Arthur Hoerl and Robert Kennard in 1970, that reduces multicollinearity by adding a penalty on the size of the coefficients. It shrinks coefficients toward zero without setting any of them exactly to zero, producing more stable estimates when predictors are highly correlated.
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ScholarGate手法を比較: Logistic Regression · Principal Component Analysis · Ridge Regression. 2026-06-19に以下より取得 https://scholargate.app/ja/compare