<?xml version="1.0" encoding="UTF-8"?>
<records>
<record>
<language>eng</language>
<publisher>Science and Education Publishing</publisher>
<journalTitle>American Journal of Applied Mathematics and Statistics</journalTitle>
<eissn>2328-7292</eissn>
<publicationDate>2025-04-08</publicationDate>
<volume>13</volume>
<issue>2</issue>
<startPage>24</startPage>
<endPage>29</endPage>
<doi>10.12691/ajams-13-2-1</doi>
<publisherRecordId>AJAMS20251321</publisherRecordId>
<documentType>article</documentType>
<title language="eng">Variable Selection for Sparse Logistic Regression Model with Errors in Covariates</title>
<authors>
<author>
<name>Zanhua Yin</name>
<email>yinzh226@163.com</email>
<affiliationId>1</affiliationId>
</author>
<author>
<name>Zhichao Wang</name>
<affiliationId>1</affiliationId>
</author>

</authors>
<affiliationsList>
<affiliationName affiliationId="1">School of Mathematical and Computer Sciences, Gannan Normal University, Ganzhou, People¡¯s Republic of China</affiliationName>

</affiliationsList>
<abstract language="eng">This paper addresses variable selection problems in sparse logistic regression model with errors-in-covariates. We propose a corrected score Lasso method, which combines the weighted score Lasso approach with a projected gradient descent algorithm, to handle the challenges posed by measurement errors. The weighted score Lasso introduces a correction-amenable score function, enabling direct extension to measurement error scenarios through subsequent score correction. Our method bridges the gap between rigorous measurement error correction and practical high-dimensional implementation, establishing a framework extensible to other generalized linear models with exponential family structure. Numerical studies demonstrate the superior performance of the corrected score Lasso in error correction scenarios, highlighting its potential as a robust tool for high-dimensional data analysis with measurement error.</abstract>
<fullTextUrl format="pdf">https://pubs.sciepub.com/ajams/13/2/1/ajams-13-2-1.pdf</fullTextUrl>
<keywords language="eng"><keyword>Corrected score</keyword>
<keyword>Lasso</keyword>
<keyword>logistic regression model</keyword>
<keyword>measurement error</keyword>
<keyword>sparse</keyword>
</keywords>
</record>
</records>
