<?xml version="1.0"?>
<!DOCTYPE ArticleSet PUBLIC "-//NLM//DTD PubMed 2.0//EN" "http://www.ncbi.nlm.nih.gov/entrez/query/static/PubMed.dtd">
<ArticleSet>
  <Article>
    <Journal>
      <PublisherName>Sichuan Knowledgeable Intelligent Sciences</PublisherName>
      <JournalTitle>International Scientific Technical  and Economic Research </JournalTitle>
      <Issn>2959-1309</Issn>
      <Volume>4</Volume>
      <Issue>2</Issue>
      <PubDate PubStatus="epublish">
        <Year>2026</Year>
        <Month>05</Month>
        <Day>29</Day>
      </PubDate>
    </Journal>
    <ArticleTitle>Comparison and Analysis of Multiple Entropy Feature Tests for Abnormal Signals in Fixed-Point Deformation Monitoring</ArticleTitle>
    <FirstPage>206</FirstPage>
    <LastPage>231</LastPage>
    <ELocationID EIdType="doi">10.71451/ISTAER2622</ELocationID>
    <Language>eng</Language>
    <AuthorList>
      <Author>
        <FirstName>Sirui</FirstName>
        <LastName>Liu</LastName>
        <Affiliation>Institute of Seismology, China Earthquake Administration</Affiliation>
        <Identifier Source="ORCID">0009-0002-0524-4947</Identifier>
      </Author>
      <Author>
        <FirstName>Cong</FirstName>
        <LastName>Pang</LastName>
        <Affiliation>Institute of Seismology, China Earthquake Administration, Wuhan, Hubei, China and Wuhan Gravitation and Solid Earth Tides, National Observation and Research Station, Wuhan, Hubei, China</Affiliation>
        <Identifier Source="ORCID">0009-0001-8579-7527</Identifier>
      </Author>
      <Author>
        <FirstName>Xin</FirstName>
        <LastName>Wang</LastName>
        <Affiliation>Shenyang Earthquake Monitoring Center, Liaoning Earthquake Administration, Shenyang, Liaoning, China</Affiliation>
        <Identifier Source="ORCID">0009-0002-8056-182X</Identifier>
      </Author>
      <Author>
        <FirstName>Meiping</FirstName>
        <LastName>Song</LastName>
        <Affiliation>Datong Earthquake Monitoring Center, Shanxi Earthquake Administration, Datong, Shanxi, China</Affiliation>
        <Identifier Source="ORCID">0009-0000-9529-9778</Identifier>
      </Author>
    </AuthorList>
    <History>
      <PubDate PubStatus="received">
        <Year>2026</Year>
        <Month>03</Month>
        <Day>26</Day>
      </PubDate>
      <PubDate PubStatus="accepted">
        <Year>2026</Year>
        <Month>04</Month>
        <Day>28</Day>
      </PubDate>
    </History>
    <Abstract>
Fixed-point deformation monitoring is essential for geological hazard early warning, and identifying abnormal signals remains a key challenge. To evaluate the effectiveness of five entropy methods for this purpose, a quantitative comparison was conducted. Abnormal deformation data were preprocessed to extract sample entropy (SE), fuzzy entropy (FE), distribution entropy (DE), permutation entropy (PE), and adaptive weighted multi-scale fusion entropy (AWM-FE). Their ability to distinguish abnormal signals was compared using the T-test, followed by the Kruskal&#x2011;Wallis test and post hoc multiple comparisons. Simulation experiments showed that AWM-FE exhibited stable, reliable performance and was well-suited for complex field environments with multi-scale analysis needs. Real deformation data analysis revealed that SE had an average T-test p-value of 0.0016, indicating significant distinction across six category pairs, while DE achieved an F-value of 74.7205 in ANOVA, reflecting the largest overall inter-group variation. This study provides a reference for feature selection in identifying abnormal signals in fixed-point deformation observations.
</Abstract>
  </Article>
</ArticleSet>
