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Bayesian lineaarne mitmemuutuja regressioon×Ridge Regression×
ValdkondStatistikaMasinõpe
PerekondRegression modelMachine learning
Tekkeaasta19711970
LoojaArnold Zellner (econometric formulation); broader development by Harold Jeffreys and Gelman et al.Hoerl, A.E. & Kennard, R.W.
TüüpBayesian parametric regressionL2-regularized linear regression
AlgallikasGelman, 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 ↗
RööpnimetusedBayesian MLR, Bayesian linear regression, Bayesian multivariate regression, conjugate normal-inverse-gamma regressionRidge Regresyonu, ridge regresyonu, L2-regularized regression, Tikhonov regularization
Seotud64
KokkuvõteBayesian 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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ScholarGateVõrdle meetodeid: Bayesian Multiple linear regression · Ridge Regression. Loetud 2026-06-17 aadressilt https://scholargate.app/et/compare