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Is Cross-Validation the Best Approach for Principal Component and Ridge Regression?

机译:交叉验证是主要成分和脊回归的最佳方法吗?

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A recent study by Frank and Friedman (1993) indicated that cross-validated ridge regression performed well when compared to partial least-squares regression and crossvalidated principal components regression. Thorpe and Scharf (1995) consider a number of uncross-validated ridgetype estimators from an engineering point of view. In this paper we examine a variety of estimators to see if we can do as well as or nearly as well as fully cross-validated ridge regression. We conclude that when the number of parameters does not exceed the number of observations, it may be possible to avoid cross-validation.
机译:最近由Frank和Friedman(1993)的研究表明,与部分最小二乘回归和交叉的主成分回归相比,交叉验证的脊回归良好。 Thorpe和Scharf(1995)从工程角度考虑许多未经验证的Ridgetype估计值。在本文中,我们检查各种估算器,以查看我们是否可以做到或近似以及完全交叉验证的山脊回归。我们得出结论,当参数的数量不超过观察的数量时,可以避免交叉验证。

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