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Node and network entropy : a novel mathematical model for pattern analysis of team sports behavior

2020Journal article Open access
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dc.contributor.authorM. L. Martins, Fernando
dc.contributor.authorGomes, Ricardo
dc.contributor.authorLopes, Vasco
dc.contributor.authorG. M. Silva, Frutuoso
dc.contributor.authorMendes, Rui
dc.date.accessioned2023-09-25T09:47:09Z
dc.date.available2023-09-25T09:47:09Z
dc.date.issued2020
dc.description.abstractPattern analysis is a well-established topic in team sports performance analysis, and is usually centered on the analysis of passing sequences. Taking a Bayesian approach to the study of these interactions, this work presents novel entropy mathematical models for Markov chain-based pattern analysis in team sports networks, with Relative Transition Entropy and Network Transition Entropy applied to both passing and reception patterns. To demonstrate their applicability, these mathematical models were used in a case study in football—the 2016/2017 Champions League Final, where both teams were analyzed. The results show that the winning team, Real Madrid, presented greater values for both individual and team transition entropies, which indicate that greater levels of unpredictability may bring teams closer to victory. In conclusion, these metrics may provide information to game analysts, allowing them to provide coaches with accurate and timely information about the key players of the game.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.doihttps://doi.org/10.3390/math8091543pt_PT
dc.identifier.urihttp://hdl.handle.net/10400.26/46723
dc.language.isoengpt_PT
dc.publisherMDPIpt_PT
dc.subjectsocial network analysispt_PT
dc.subjectentropypt_PT
dc.subjectMarkov chainpt_PT
dc.subjectfootballpt_PT
dc.titleNode and network entropy : a novel mathematical model for pattern analysis of team sports behaviorpt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.citation.conferencePlaceBaselpt_PT
oaire.citation.endPage12pt_PT
oaire.citation.issue9pt_PT
oaire.citation.startPage1pt_PT
oaire.citation.titleMathematicspt_PT
oaire.citation.volume8pt_PT
person.familyNameMartins
person.familyNameGomes
person.familyNameLopes
person.familyNameG. M. Silva
person.familyNameMendes
person.givenNameFernando Manuel Lourenço
person.givenNameRicardo
person.givenNameVasco
person.givenNameFrutuoso
person.givenNameRui
person.identifier0000000070715256
person.identifier1146218
person.identifier722571
person.identifier.ciencia-id8512-5BB4-6DFD
person.identifier.ciencia-idB81F-157E-40DE
person.identifier.ciencia-id2516-C038-0DC1
person.identifier.ciencia-idA71F-1E22-D496
person.identifier.orcid0000-0002-1812-2300
person.identifier.orcid0000-0003-2310-1560
person.identifier.orcid0000-0002-5577-1094
person.identifier.orcid0000-0002-0611-6157
person.identifier.orcid0000-0002-2433-5193
person.identifier.ridAAK-6934-2020
person.identifier.ridM-5783-2018
person.identifier.scopus-author-id57217191490
person.identifier.scopus-author-id57206486165
person.identifier.scopus-author-id8325080400
person.identifier.scopus-author-id54881476100
rcaap.rightsopenAccesspt_PT
rcaap.typearticlept_PT
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