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Mathematical models to measure the variability of nodes and networks in team sports

2021Journal article Open access
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dc.contributor.authorM. L. Martins, Fernando
dc.contributor.authorGomes, Ricardo
dc.contributor.authorLopes, Vasco
dc.contributor.authorSilva, Frutuoso G. M.
dc.contributor.authorMendes, Rui
dc.date.accessioned2023-09-22T11:34:27Z
dc.date.available2023-09-22T11:34:27Z
dc.date.issued2021
dc.description.abstractPattern analysis is a widely researched topic in team sports performance analysis, using information theory as a conceptual framework. Bayesian methods are also used in this research field, but the association between these two is being developed. The aim of this paper is to present new mathematical concepts that are based on information and probability theory and can be applied to network analysis in Team Sports. These results are based on the transition matrices of the Markov chain, associated with the adjacency matrices of a network with n nodes and allowing for a more robust analysis of the variability of interactions in team sports. The proposed models refer to individual and collective rates and indexes of total variability between players and teams as well as the overall passing capacity of a network, all of which are demonstrated in the UEFA 2020/2021 Champions League Final.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.doihttps://doi.org/10.3390/e23081072pt_PT
dc.identifier.urihttp://hdl.handle.net/10400.26/46708
dc.language.isoengpt_PT
dc.publisherMDPIpt_PT
dc.subjectentropypt_PT
dc.subjectfootballpt_PT
dc.subjectsocial network analysispt_PT
dc.subjectMarkov chainpt_PT
dc.subjectperformance analysispt_PT
dc.subjectdynamical systemspt_PT
dc.titleMathematical models to measure the variability of nodes and networks in team sportspt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.citation.conferencePlaceBaselpt_PT
oaire.citation.endPage11pt_PT
oaire.citation.issue23pt_PT
oaire.citation.startPage1pt_PT
oaire.citation.titleEntropypt_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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