论文标题

惩罚多项式回归的足够条件是对预测变量的翻译不变的条件

A sufficient condition for penalized polynomial regression to be invariant to translations of the predictor variables

论文作者

Martini, J W R

论文摘要

尽管翻译预测变量的编码不会改变多项式最小二乘回归的拟合度,但可能会影响受惩罚的多项式回归。可以对哪些条款进行惩罚以保持对编码翻译的不变性的结果。本简短说明了相应的命题的概括,该命题需要更精确的数学框架。

Whereas translating the coding of predictor variables does not change the fit of a polynomial least squares regression, penalized polynomial regressions are potentially affected. A result on which terms can be penalized to maintain the invariance to translations of the coding has earlier been published. A generalization of a corresponding proposition, which requires a more precise mathematical framework, is presented in this short note.

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