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Partial Correlation Estimation by Joint Sparse Regression Models

Open access
Peng, Jie, Wang, Pei, Zhou, Nengfeng, Zhu, Ji·2009·Journal of the American Statistical Association

Abstract

In this paper, we propose a computationally efficient approach -space(Sparse PArtial Correlation Estimation)- for selecting non-zero partial correlations under the high-dimension-low-sample-size setting. This method assumes the overall sparsity of the partial correlation matrix and employs sparse regression techniques for model fitting. We illustrate the performance of space by extensive simulation studies. It is shown that space performs well in both non-zero partial correlation selection and the identification of hub variables, and also outperforms two existing methods. We then apply space to a microarray breast cancer data set and identify a set of hub genes which may provide important insights on genetic regulatory networks. Finally, we prove that, under a set of suitable assumptions, the proposed procedure is asymptotically consistent in terms of model selection and parameter estimation.

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Metadata

Authors
Peng, J., Wang, P., Zhou, N., & Zhu, J.
Venue
Journal of the American Statistical Association
Published
2009-06
Volume
104
Issue
486
Pages
735-746
ISSN
  • 0162-1459 (ISSN-L)
  • 1537-274X
OpenAlex
W2001334414
Cited by
688
References
41
FWCI
24.05
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: Partial Correlation Estimation by Joint Sparse Regression Models. https://app.cochat.ai/papers/10.1198/jasa.2009.0126
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Peng, J., Wang, P., Zhou, N., & Zhu, J. (2009). Partial Correlation Estimation by Joint Sparse Regression Models. Journal of the American Statistical Association. https://doi.org/10.1198/jasa.2009.0126

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

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