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Bayesovská vícenásobná lineární regrese×Ridge regrese×
OborStatistikaStrojové učení
RodinaRegression modelMachine learning
Rok vzniku19711970
TvůrceArnold Zellner (econometric formulation); broader development by Harold Jeffreys and Gelman et al.Hoerl, A.E. & Kennard, R.W.
TypBayesian parametric regressionL2-regularized linear regression
Původní zdrojGelman, A., Carlin, J. B., Stern, H. S., Dunson, D. B., Vehtari, A., & Rubin, D. B. (2013). Bayesian Data Analysis (3rd ed.). CRC Press. ISBN: 978-1439840955Hoerl, A.E. & Kennard, R.W. (1970). Ridge Regression: Biased Estimation for Nonorthogonal Problems. Technometrics, 12(1), 55–67. DOI ↗
Další názvyBayesian MLR, Bayesian linear regression, Bayesian multivariate regression, conjugate normal-inverse-gamma regressionRidge Regresyonu, ridge regresyonu, L2-regularized regression, Tikhonov regularization
Příbuzné64
ShrnutíBayesian Multiple Linear Regression models a continuous outcome as a linear combination of several predictors, but instead of producing a single point estimate it yields a full posterior distribution over all regression coefficients and the error variance. This makes uncertainty quantification explicit and allows seamlessly incorporating prior knowledge from theory or previous studies.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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ScholarGatePorovnat metody: Bayesian Multiple linear regression · Ridge Regression. Získáno 2026-06-15 z https://scholargate.app/cs/compare