{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T01:37:23Z","timestamp":1760146643792,"version":"build-2065373602"},"reference-count":41,"publisher":"MDPI AG","issue":"12","license":[{"start":{"date-parts":[[2024,11,24]],"date-time":"2024-11-24T00:00:00Z","timestamp":1732406400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Consejo Nacional de Investigaciones Cient\u00edficas y T\u00e9cnicas (CONICET), Argentina","award":["MICIU\/AEI\/10.13039\/501100011033","CEX2021-001164-M","PID2022-139409NB-I00"],"award-info":[{"award-number":["MICIU\/AEI\/10.13039\/501100011033","CEX2021-001164-M","PID2022-139409NB-I00"]}]},{"name":"Spanish State Research Agency","award":["MICIU\/AEI\/10.13039\/501100011033","CEX2021-001164-M","PID2022-139409NB-I00"],"award-info":[{"award-number":["MICIU\/AEI\/10.13039\/501100011033","CEX2021-001164-M","PID2022-139409NB-I00"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>This study implements the permutation Jensen\u2013Shannon distance as a metric for discerning ordinal patterns and similarities across multiple temporal scales in time series data. Initially, we present a numerically controlled analysis to validate the multiscale capabilities of this method. Subsequently, we apply our methodology to a complex photonic system, showcasing its practical utility in a real-world scenario. Our findings suggest that this approach is a powerful tool for identifying the precise temporal scales at which two distinct time series exhibit ordinal similarity. Given its robustness, we anticipate that this method could be widely applicable across various scientific disciplines, offering a new lens through which to analyze time series data.<\/jats:p>","DOI":"10.3390\/e26121016","type":"journal-article","created":{"date-parts":[[2024,11,25]],"date-time":"2024-11-25T03:59:01Z","timestamp":1732507141000},"page":"1016","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Identifying Ordinal Similarities at Different Temporal Scales"],"prefix":"10.3390","volume":"26","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2852-3263","authenticated-orcid":false,"given":"Luciano","family":"Zunino","sequence":"first","affiliation":[{"name":"Centro de Investigaciones \u00d3pticas (CONICET La Plata-CIC-UNLP), Gonnet 1897, La Plata, Argentina"},{"name":"Departamento de Ciencias B\u00e1sicas, Facultad de Ingenier\u00eda, Universidad Nacional de La Plata (UNLP), La Plata 1900, Argentina"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9869-7170","authenticated-orcid":false,"given":"Xavier","family":"Porte","sequence":"additional","affiliation":[{"name":"Institute of Photonics, Department of Physics, University of Strathclyde, 99 George Street, Glasgow G1 1RD, UK"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6140-8451","authenticated-orcid":false,"given":"Miguel C.","family":"Soriano","sequence":"additional","affiliation":[{"name":"Instituto de F\u00edsica Interdisciplinar y Sistemas Complejos (IFISC, UIB-CSIC), Campus Universitat de les Illes Balears, E-07122 Palma de Mallorca, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2024,11,24]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"305","DOI":"10.1016\/j.knosys.2014.04.035","article-title":"An empirical evaluation of similarity measures for time series classification","volume":"67","author":"Arcos","year":"2014","journal-title":"Knowl.-Based Syst."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"102235","DOI":"10.1016\/j.jocs.2024.102235","article-title":"An exhaustive comparison of distance measures in the classification of time series with 1NN method","volume":"76","author":"Piasecki","year":"2024","journal-title":"J. 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