{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,9,25]],"date-time":"2026-09-25T21:29:07Z","timestamp":1790371747324,"version":"4.1.0"},"reference-count":43,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2019,12,29]],"date-time":"2019-12-29T00:00:00Z","timestamp":1577577600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>Cross-entropy was introduced in 1996 to quantify the degree of asynchronism between two time series. In 2009, a multiscale cross-entropy measure was proposed to analyze the dynamical characteristics of the coupling behavior between two sequences on multiple scales. Since their introductions, many improvements and other methods have been developed. In this review we offer a state-of-the-art on cross-entropy measures and their multiscale approaches.<\/jats:p>","DOI":"10.3390\/e22010045","type":"journal-article","created":{"date-parts":[[2019,12,30]],"date-time":"2019-12-30T05:49:41Z","timestamp":1577684981000},"page":"45","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":78,"title":["(Multiscale) Cross-Entropy Methods: A Review"],"prefix":"10.3390","volume":"22","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-0473-3669","authenticated-orcid":false,"given":"Antoine","family":"Jamin","sequence":"first","affiliation":[{"name":"COTTOS M\u00e9dical, All\u00e9e du 9 novembre 1989, 49240 Avrill\u00e9, France"},{"name":"LARIS \u2013 Laboratoire Angevin de Recherche en Ing\u00e9nierie des Syst\u00e8mes, Univesity Angers, 62 avenue Notre-Dame du Lac, 49000 Angers, France"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6289-0040","authenticated-orcid":false,"given":"Anne","family":"Humeau-Heurtier","sequence":"additional","affiliation":[{"name":"LARIS \u2013 Laboratoire Angevin de Recherche en Ing\u00e9nierie des Syst\u00e8mes, Univesity Angers, 62 avenue Notre-Dame du Lac, 49000 Angers, France"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2019,12,29]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"2083","DOI":"10.1073\/pnas.93.5.2083","article-title":"Randomness and degrees of irregularity","volume":"93","author":"Pincus","year":"1996","journal-title":"Proc. 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