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最小二乗法(OLS)×Lasso回帰×
分野統計学機械学習
系統Regression modelMachine learning
提唱年18051996
提唱者Adrien-Marie Legendre (1805); Carl Friedrich Gauss (1809)Tibshirani, R.
種類Linear parameter estimationRegularized linear regression (L1 penalty)
原典Legendre, A.-M. (1805). Nouvelles méthodes pour la détermination des orbites des comètes. Firmin Didot, Paris. [Appendix: Sur la Méthode des moindres quarrés, pp. 72–80.] link ↗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OLS, OLS regression, linear least squares, classical linear regressionLASSO Regresyonu, lasso, L1-regularized regression, L1 regularization
関連84
概要Ordinary Least Squares (OLS) is the canonical method for estimating the parameters of a linear regression model by minimizing the sum of squared differences between observed and predicted values. First published by Adrien-Marie Legendre in 1805 and independently developed by Carl Friedrich Gauss (who claimed priority from 1795), OLS is provably optimal under the Gauss-Markov theorem: given its assumptions, it yields the Best Linear Unbiased Estimator (BLUE) of the regression coefficients.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: Ordinary Least Squares · Lasso Regression. 2026-06-18に以下より取得 https://scholargate.app/ja/compare