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बहुपद समाश्रयण (Polynomial Regression)×रिज रिग्रेशन×
क्षेत्रसांख्यिकीमशीन अधिगम
परिवारRegression modelMachine learning
उद्भव वर्ष20121970
प्रवर्तकMontgomery, Peck & Vining (textbook treatment); classical least squaresHoerl, A.E. & Kennard, R.W.
प्रकारLinear regression in transformed predictorsL2-regularized linear regression
मौलिक स्रोतMontgomery, D. C., Peck, E. A. & Vining, G. G. (2012). Introduction to Linear Regression Analysis. Wiley. ISBN: 978-0470542811Hoerl, A.E. & Kennard, R.W. (1970). Ridge Regression: Biased Estimation for Nonorthogonal Problems. Technometrics, 12(1), 55–67. DOI ↗
उपनामpolynomial least squares, curvilinear regression, Polinom RegresyonuRidge Regresyonu, ridge regresyonu, L2-regularized regression, Tikhonov regularization
संबंधित44
सारांशPolynomial regression is a regression method that models non-linear relationships by including squared and higher-degree terms of an explanatory variable, and it is a core tool of response surface analysis. As developed in Montgomery, Peck and Vining's Introduction to Linear Regression Analysis (2012), it remains linear in its parameters even though the fitted curve bends.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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