KnowraRidge regressionLinked fromLinked fromThe 8 pages that link to Ridge regression, each with the reason it gives.All 8Broader topic 2Related 2Compared with 4Least squaresCompared with: It regularizes least squares when predictors are highly correlated or parameters are unstable.Linear regressionCompared with: Its penalty trades some bias for lower variance, especially with correlated predictors.RegularizationBroader topic: Its 1970s development brought regularization into statistical regression practice.Ordinary least squaresCompared with: Its penalty trades coefficient bias for reduced variance, unlike unregularized OLS.MulticollinearityRelated: Its penalty stabilizes estimates when predictors are strongly correlated.Maximum a posteriori estimationBroader topic: Its penalty yields a MAP interpretation under a zero-centered Gaussian prior.Woodbury matrix identityRelated: The identity connects feature-space and sample-space solutions when one dimension is smaller.Frisch–Waugh–Lovell theoremCompared with: Penalization changes coefficient estimates, so ordinary residual-regression equivalence need not hold.