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Regularization Methods for Additive Models

机译:添加模型的正则化方法

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This paper tackles the problem of model complexity in the context of additive models. Several methods have been proposed to estimate smoothing parameters, as well as to perform variable selection. However, these procedures are inefficient or computationally expensive in high dimension. To answer this problem, the lasso technique has been adapted to additive models, but its experimental performance has not been analyzed. We propose a modified lasso for additive models, performing variable selection. A benchmark is developed to examine its practical behavior, comparing it with forward selection. Our simulation studies suggest ability to carry out model selection of the proposed method. The lasso technique shows up better than forward selection in the most complex situations. The computing time of modified lasso is considerably smaller since it does not depend on the number of relevant variables.
机译:本文在附加模型的背景下解决了模型复杂性的问题。已经提出了几种方法来估计平滑参数,以及执行变量选择。然而,这些程序在高维度下效率低或计算昂贵。为了回答这个问题,套索技术已经适应添加模型,但尚未分析其实验性能。我们为附加模型提出了一个修改的套索,执行变量选择。开发了基准以检查其实际行为,将其与前向选择进行比较。我们的仿真研究表明了能够进行建议方法的模型选择。套索技术在最复杂的情​​况下比前锋选择更好。修改后的套索的计算时间显着较小,因为它不依赖于相关变量的数量。

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