{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T03:54:07Z","timestamp":1760241247404,"version":"build-2065373602"},"reference-count":22,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2019,12,20]],"date-time":"2019-12-20T00:00:00Z","timestamp":1576800000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>The order\/disorder characteristics of a compartment fire are researched based on experimental data. From our analysis performed by new, pioneering methods, we claim that the parametric Jensen-Shannon complexity can be successfully used to detect unusual data, and that one can use it also as a means to perform relevant analysis of fire experiments. Thoroughly comparing the performance of different algorithms (known as permutation entropy and two-length permutation entropy) to extract the probability distribution is an essential step. We discuss some of the theoretical assumptions behind each step and stress that the role of the parameter is to fine-tune the results of the Jensen-Shannon statistical complexity. Note that the Jensen-Shannon statistical complexity is symmetric, while its parametric version displays a symmetric duality due to the a priori probabilities used.<\/jats:p>","DOI":"10.3390\/sym12010022","type":"journal-article","created":{"date-parts":[[2019,12,23]],"date-time":"2019-12-23T03:23:12Z","timestamp":1577071392000},"page":"22","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Parametric Jensen-Shannon Statistical Complexity and Its Applications on Full-Scale Compartment Fire Data"],"prefix":"10.3390","volume":"12","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-4346-0846","authenticated-orcid":false,"given":"Flavia-Corina","family":"Mitroi-Symeonidis","sequence":"first","affiliation":[{"name":"Academy of Economic Studies, Department of Applied Mathematics, Calea Dorobantilor 15-17, Sector 1, RO-010552 Bucharest, Romania"},{"name":"Police Academy \u201cAlexandru Ioan Cuza\u201d, Fire Officers Faculty, Str. Morarilor 3, Sector 2, RO-022451 Bucharest, Romania"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5397-7638","authenticated-orcid":false,"given":"Ion","family":"Anghel","sequence":"additional","affiliation":[{"name":"Police Academy \u201cAlexandru Ioan Cuza\u201d, Fire Officers Faculty, Str. Morarilor 3, Sector 2, RO-022451 Bucharest, Romania"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Nicu\u0219or","family":"Minculete","sequence":"additional","affiliation":[{"name":"Faculty of Mathematics and Computer Science, Transilvania University of Bra\u0219ov, Str. Iuliu Maniu50, 500091 Bra\u0219ov, Romania"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2019,12,20]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"3181","DOI":"10.1016\/j.physleta.2018.08.030","article-title":"Dynamic behavior of temperature field in a buoyancy-driven turbulent fire","volume":"382","author":"Takagi","year":"2018","journal-title":"Phys. Lett. A"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"5271","DOI":"10.1016\/j.proci.2018.07.034","article-title":"Characterization of dynamic behavior of combustion noise and detection of blowout in a laboratory-scale gas-turbine model combustor","volume":"37","author":"Murayama","year":"2019","journal-title":"Proc. Combust. Inst."},{"key":"ref_3","unstructured":"Mitroi-Symeonidis, F.-C., Anghel, I., Lalu, O., and Popa, C. (2019). The permutation entropy and its applications on fire tests data. arXiv."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"379","DOI":"10.1002\/j.1538-7305.1948.tb01338.x","article-title":"A mathematical theory of communication","volume":"27","author":"Shannon","year":"1948","journal-title":"Bell Syst. Tech. J."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"79","DOI":"10.1214\/aoms\/1177729694","article-title":"On information and sufficiency","volume":"22","author":"Kullback","year":"1951","journal-title":"Ann. Math. Stat."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"145","DOI":"10.1109\/18.61115","article-title":"Divergence measures based on the Shannon entropy","volume":"37","author":"Lin","year":"1991","journal-title":"IEEE-Trans. Inf. Theory"},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"589","DOI":"10.1109\/TIT.1985.1057082","article-title":"Cross entropy, dissimilarity measures, and characterizations of quadratic entropy","volume":"31","author":"Rao","year":"1985","journal-title":"IEEE Trans. Inform. Theory"},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"321","DOI":"10.1016\/0375-9601(95)00867-5","article-title":"A statistical measure of complexity","volume":"209","author":"Mancini","year":"1995","journal-title":"Phys. Lett. A"},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"119","DOI":"10.1016\/j.physa.2003.11.005","article-title":"Intensive entropic non-triviality measure","volume":"334","author":"Lamberti","year":"2004","journal-title":"Phys. A Stat. Mech. Appl."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"046210","DOI":"10.1103\/PhysRevE.86.046210","article-title":"Distinguishing chaotic and stochastic dynamics from time series by using a multiscale symbolic approach","volume":"86","author":"Zunino","year":"2012","journal-title":"Phys. Rev. E"},{"key":"ref_11","doi-asserted-by":"crossref","unstructured":"Niculescu, C.P., and Persson, L.-E. (2018). Convex Functions and their Applications. A Contemporary Approach, Springer-Verlag. [2nd ed.]. CMS Books in Mathematics.","DOI":"10.1007\/978-3-319-78337-6"},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"363","DOI":"10.1017\/S030500410006672X","article-title":"Further results on the relative entropy","volume":"101","author":"Donald","year":"1987","journal-title":"Math. Proc. Camb. Philos. Soc."},{"key":"ref_13","first-page":"73","article-title":"About the precision in Jensen-Steffensen inequality","volume":"37","year":"2010","journal-title":"Ann. Univ. Craiova Ser. Mat. Inform."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"174102","DOI":"10.1103\/PhysRevLett.88.174102","article-title":"Permutation entropy: A natural complexity measure for time series","volume":"88","author":"Bandt","year":"2002","journal-title":"Phys. Rev. Lett."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"046217","DOI":"10.1103\/PhysRevE.70.046217","article-title":"Detecting dynamical changes in time series using the permutation entropy","volume":"70","author":"Cao","year":"2004","journal-title":"Phys. Rev. E"},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"723","DOI":"10.1016\/j.ijleo.2018.09.169","article-title":"Research on the biophoton emission of wheat kernels based on permutation entropy","volume":"178","author":"Duan","year":"2019","journal-title":"Optik"},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"95","DOI":"10.1016\/j.chaos.2018.12.039","article-title":"Permutation entropy revisited","volume":"120","author":"Watt","year":"2019","journal-title":"Chaos Solitons Fractals"},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"249","DOI":"10.1140\/epjst\/e2013-01862-7","article-title":"Practical considerations of permutation entropy","volume":"222","author":"Riedl","year":"2013","journal-title":"Eur. Phys. J. Spec. Top."},{"key":"ref_19","first-page":"607","article-title":"Encodings for the calculation of the permutation hypoentropy and their applications on full-scale compartment fire data","volume":"62","author":"Anghel","year":"2019","journal-title":"Acta Tech. Napoc. Ser. Appl. Math. Mech. Eng."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"5377","DOI":"10.3390\/e16105377","article-title":"On some properties of Tsallis hypoentropies and hypodivergences","volume":"16","author":"Furuichi","year":"2014","journal-title":"Entropy"},{"key":"ref_21","doi-asserted-by":"crossref","unstructured":"Araujo, F.H.A., Bejan, L., Rosso, O.A., and Stosic, T. (2019). Permutation entropy and statistical complexity analysis of Brazilian agricultural commodities. Entropy, 21.","DOI":"10.3390\/e21121220"},{"key":"ref_22","doi-asserted-by":"crossref","unstructured":"Song, Y., Ju, Y., Du, K., Liu, W., and Song, J. (2018). Online road detection under a shadowy traffic image using a learning-based illumination-independent image. Symmetry, 10.","DOI":"10.3390\/sym10120707"}],"container-title":["Symmetry"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2073-8994\/12\/1\/22\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T13:44:14Z","timestamp":1760190254000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2073-8994\/12\/1\/22"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,12,20]]},"references-count":22,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2020,1]]}},"alternative-id":["sym12010022"],"URL":"https:\/\/doi.org\/10.3390\/sym12010022","relation":{},"ISSN":["2073-8994"],"issn-type":[{"type":"electronic","value":"2073-8994"}],"subject":[],"published":{"date-parts":[[2019,12,20]]}}}