HDSI: High dimensional selection with interactions algorithm on feature selection and testing.

Feature selection on high dimensional data along with the interaction effects is a critical challenge for classical statistical learning techniques. Existing feature selection algorithms such as random LASSO leverages LASSO capability to handle high dimensional data. However, the technique has two m...

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Main Authors: Rahi Jain, Wei Xu
Format: Article
Language:English
Published: Public Library of Science (PLoS) 2021-01-01
Series:PLoS ONE
Online Access:https://doi.org/10.1371/journal.pone.0246159
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author Rahi Jain
Wei Xu
author_facet Rahi Jain
Wei Xu
author_sort Rahi Jain
collection DOAJ
description Feature selection on high dimensional data along with the interaction effects is a critical challenge for classical statistical learning techniques. Existing feature selection algorithms such as random LASSO leverages LASSO capability to handle high dimensional data. However, the technique has two main limitations, namely the inability to consider interaction terms and the lack of a statistical test for determining the significance of selected features. This study proposes a High Dimensional Selection with Interactions (HDSI) algorithm, a new feature selection method, which can handle high-dimensional data, incorporate interaction terms, provide the statistical inferences of selected features and leverage the capability of existing classical statistical techniques. The method allows the application of any statistical technique like LASSO and subset selection on multiple bootstrapped samples; each contains randomly selected features. Each bootstrap data incorporates interaction terms for the randomly sampled features. The selected features from each model are pooled and their statistical significance is determined. The selected statistically significant features are used as the final output of the approach, whose final coefficients are estimated using appropriate statistical techniques. The performance of HDSI is evaluated using both simulated data and real studies. In general, HDSI outperforms the commonly used algorithms such as LASSO, subset selection, adaptive LASSO, random LASSO and group LASSO.
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spelling doaj.art-2db3e6c979b2487fa65a11586d40fa902022-12-21T23:31:04ZengPublic Library of Science (PLoS)PLoS ONE1932-62032021-01-01162e024615910.1371/journal.pone.0246159HDSI: High dimensional selection with interactions algorithm on feature selection and testing.Rahi JainWei XuFeature selection on high dimensional data along with the interaction effects is a critical challenge for classical statistical learning techniques. Existing feature selection algorithms such as random LASSO leverages LASSO capability to handle high dimensional data. However, the technique has two main limitations, namely the inability to consider interaction terms and the lack of a statistical test for determining the significance of selected features. This study proposes a High Dimensional Selection with Interactions (HDSI) algorithm, a new feature selection method, which can handle high-dimensional data, incorporate interaction terms, provide the statistical inferences of selected features and leverage the capability of existing classical statistical techniques. The method allows the application of any statistical technique like LASSO and subset selection on multiple bootstrapped samples; each contains randomly selected features. Each bootstrap data incorporates interaction terms for the randomly sampled features. The selected features from each model are pooled and their statistical significance is determined. The selected statistically significant features are used as the final output of the approach, whose final coefficients are estimated using appropriate statistical techniques. The performance of HDSI is evaluated using both simulated data and real studies. In general, HDSI outperforms the commonly used algorithms such as LASSO, subset selection, adaptive LASSO, random LASSO and group LASSO.https://doi.org/10.1371/journal.pone.0246159
spellingShingle Rahi Jain
Wei Xu
HDSI: High dimensional selection with interactions algorithm on feature selection and testing.
PLoS ONE
title HDSI: High dimensional selection with interactions algorithm on feature selection and testing.
title_full HDSI: High dimensional selection with interactions algorithm on feature selection and testing.
title_fullStr HDSI: High dimensional selection with interactions algorithm on feature selection and testing.
title_full_unstemmed HDSI: High dimensional selection with interactions algorithm on feature selection and testing.
title_short HDSI: High dimensional selection with interactions algorithm on feature selection and testing.
title_sort hdsi high dimensional selection with interactions algorithm on feature selection and testing
url https://doi.org/10.1371/journal.pone.0246159
work_keys_str_mv AT rahijain hdsihighdimensionalselectionwithinteractionsalgorithmonfeatureselectionandtesting
AT weixu hdsihighdimensionalselectionwithinteractionsalgorithmonfeatureselectionandtesting