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Stability selection

delete2010-08-05
delete1.8K
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N
Nicolai Meinshausen *
P
Peter Bühlmann
DOI:10.1111/j.1467-9868.2010.00740.xdelete
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Abstract

Abstract

En 中文
Estimation of structure, such as in variable selection, graphical modelling or cluster analysis, is notoriously difficult, especially for high dimensional data. We introduce stability selection. It is based on subsampling in combination with (high dimensional) selection algorithms. As such, the method is extremely general and has a very wide range of applicability. Stability selection provides finite sample control for some error rates of false discoveries and hence a transparent principle to choose a proper amount of regularization for structure estimation. Variable selection and structure estimation improve markedly for a range of selection methods if stability selection is applied. We prove for the randomized lasso that stability selection will be variable selection consistent even if the necessary conditions for consistency of the original lasso method are violated. We demonstrate stability selection for variable selection and Gaussian graphical modelling, using real and simulated data.
Keywords:
High dimensional data
Resampling
Stability selection
Structure estimation
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Key information extracted from the uploaded paper, including a brief overview, abstract, background, key highlights, visual analysis, and future outlook.

Journal

J
Journal of the Royal Statistical Society Series B-Statistical Methodology
IF:
3.6
Papers:
1.5K
Citations:
3.2W

Organization

S
swiss federal institutes of technology domain
Scholars:
9.0W
Papers: 8.0W
Citations: 163
U
university of oxford
Scholars:
9.8W
Papers: 8.6W
Citations: 137
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