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رگرسیون چندجمله‌ای×رگرسیون لسو×
حوزهآماریادگیری ماشین
خانوادهRegression modelMachine learning
سال پیدایش20121996
پدیدآورMontgomery, Peck & Vining (textbook treatment); classical least squaresTibshirani, R.
نوعLinear regression in transformed predictorsRegularized linear regression (L1 penalty)
منبع بنیادینMontgomery, D. C., Peck, E. A. & Vining, G. G. (2012). Introduction to Linear Regression Analysis. Wiley. ISBN: 978-0470542811Tibshirani, R. (1996). Regression Shrinkage and Selection via the Lasso. Journal of the Royal Statistical Society: Series B, 58(1), 267–288. DOI ↗
نام‌های دیگرpolynomial least squares, curvilinear regression, Polinom RegresyonuLASSO Regresyonu, lasso, L1-regularized regression, L1 regularization
مرتبط44
خلاصهPolynomial 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.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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ScholarGateمقایسهٔ روش‌ها: Polynomial Regression · Lasso Regression. بازیابی‌شده در 2026-06-15 از https://scholargate.app/fa/compare