论文标题

通过监督的回归系数降低维度:审查

Dimension Reduction via Supervised Clustering of Regression Coefficients: A Review

论文作者

Mehrotra, Suchit

论文摘要

缩小方法的发展和使用在现代统计文献中很普遍。本文回顾了一类缩小技术,旨在同时选择相关的预测因子,并在其中找到对响应有共同影响的群集。相对于OLS估计值和Lasso [Tibshirani,1996],尤其是在存在预测因子中的多重共线性时,这种方法的性能相对于OLS估计值具有较高的性能。还讨论了它们的应用,包括遗传学,流行病学和功能磁共振成像研究。

The development and use of dimension reduction methods is prevalent in modern statistical literature. This paper reviews a class of dimension reduction techniques which aim to simultaneously select relevant predictors and find clusters within them which share a common effect on the response. Such methods have been shown to have superior performance relative to OLS estimates and the lasso [Tibshirani, 1996] especially when multicollinearity in the predictors is present. Their applications, which include genetics, epidemiology, and fMRI studies, are also discussed.

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