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リッジ回帰×Elastic Net×ロジスティック回帰×主成分分析×
分野機械学習機械学習研究統計機械学習
系統Machine learningMachine learningProcess / pipelineMachine learning
提唱年1970200519582002
提唱者Hoerl, A.E. & Kennard, R.W.Zou, H. & Hastie, T.David Roxbee CoxJolliffe, I.T. (textbook); Pearson & Hotelling (origins)
種類L2-regularized linear regressionRegularized linear regression (L1 + L2 penalty)MethodUnsupervised dimensionality reduction
原典Hoerl, A.E. & Kennard, R.W. (1970). Ridge Regression: Biased Estimation for Nonorthogonal Problems. Technometrics, 12(1), 55–67. DOI ↗Zou, H. & Hastie, T. (2005). Regularization and Variable Selection via the Elastic Net. Journal of the Royal Statistical Society: Series B, 67(2), 301–320. DOI ↗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 ↗
別名Ridge Regresyonu, ridge regresyonu, L2-regularized regression, Tikhonov regularizationElastic Net Regresyon, elastic net regression, ElasticNet, L1/L2 regularized regressionlogit model, binomial logistic regression, LRTemel Bileşenler Analizi (PCA), PCA, principal components analysis, Karhunen-Loève transform
関連4433
概要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.Elastic Net is a regularized linear regression method introduced by Zou and Hastie in 2005 that blends the LASSO (L1) and Ridge (L2) penalties, so it performs variable selection and coefficient shrinkage at the same time. It is designed for predictive and explanatory modelling on data with many, possibly correlated, predictors.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.
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ScholarGate手法を比較: Ridge Regression · Elastic Net · Logistic Regression · Principal Component Analysis. 2026-06-19に以下より取得 https://scholargate.app/ja/compare