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Resampling-based information criteria for best-subset regression

机译:基于重采样的信息标准,以实现最佳子集回归

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When a linear model is chosen by searching for the best subset among a set of candidate predictors, a fixed penalty such as that imposed by the Akaike information criterion may penalize model complexity inadequately, leading to biased model selection. We study resampling-based information criteria that aim to overcome this problem through improved estimation of the effective model dimension. The first proposed approach builds upon previous work on bootstrap-based model selection. We then propose a more novel approach based on cross-validation. Simulations and analyses of a functional neuroimaging data set illustrate the strong performance of our resampling-based methods, which are implemented in a new R package.
机译:当通过在一组候选预测变量中搜索最佳子集来选择线性模型时,诸如Akaike信息准则所施加的固定惩罚可能会不足以惩罚模型复杂性,从而导致模型选择有偏差。我们研究基于重采样的信息标准,旨在通过改进对有效模型维的估计来克服此问题。首先提出的方法建立在先前基于引导程序的模型选择的工作之上。然后,我们提出了一种基于交叉验证的更新颖的方法。对功能性神经影像数据集的仿真和分析显示了我们基于重采样的方法的强大性能,这些方法在新的R包中实现。

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