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Many entropies, however, are ineffective for multivariate scenarios due to correlations. In this paper, we propose a local structure entropy (LSE) based on the idea of a recurrence network. Given certain tolerance and scales, LSE values can distinguish multivariate chaotic sequences between stochastic signals. Three financial market indices are used to evaluate the proposed LSE. The results show that the LSEFSTE100 and LSES&amp;P500 are higher than LSESZI, which indicates that the European and American stock markets are more sophisticated than the Chinese stock market. Additionally, using decision trees as the classifiers, LSE is employed to detect bearing faults. LSE performs higher on recognition accuracy when compared to permutation entropy.<\/jats:p>","DOI":"10.3390\/e24121752","type":"journal-article","created":{"date-parts":[[2022,11,30]],"date-time":"2022-11-30T05:45:22Z","timestamp":1669787122000},"page":"1752","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":11,"title":["Distinguish between Stochastic and Chaotic Signals by a Local Structure-Based Entropy"],"prefix":"10.3390","volume":"24","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-5593-7859","authenticated-orcid":false,"given":"Zelin","family":"Zhang","sequence":"first","affiliation":[{"name":"School of Mathematics, Physics and Optoelectronic Engineering, Hubei University of Automotive Technology, Shiyan 442002, China"},{"name":"Hubei Key Laboratory of Applied Mathematics, Hubei University, Wuhan 430061, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jun","family":"Wu","sequence":"additional","affiliation":[{"name":"School of Mathematics, Physics and Optoelectronic Engineering, Hubei University of Automotive Technology, Shiyan 442002, China"},{"name":"Hubei Key Laboratory of Applied Mathematics, Hubei University, Wuhan 430061, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yufeng","family":"Chen","sequence":"additional","affiliation":[{"name":"School of Electrical and Information Engineering, Hubei University of Automotive Technology, Shiyan 442002, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Ji","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Liberal Arts and Humanities, Sichuan Vocational College of Finance and Economics, Chengdu 610101, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8293-3653","authenticated-orcid":false,"given":"Jinyu","family":"Xu","sequence":"additional","affiliation":[{"name":"School of Electrical and Information Engineering, Hubei University of Automotive Technology, Shiyan 442002, China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2022,11,30]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"173","DOI":"10.17309\/tmfv.2021.2.11","article-title":"The effect of 10 weeks game experience learning (gel) based training on teamwork, respect attitude, skill and physical ability in young football players","volume":"21","author":"Sulistiyono","year":"2021","journal-title":"Teor\u00ec\u00e2 ta Metod. 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