{"refrec":{"BRefID":353306,"RR":"Faccin, M.; Schaub, M.T.; Delvenne, J.-C. (2021). State aggregations in Markov chains and block models of networks. Phys. Rev. Lett. 127(7): 078301. https://dx.doi.org/10.1103/PhysRevLett.127.078301","BEntID":351015,"PublicFlag":1,"CheckedFlag":1,"wosflag":1,"vabbflag":1,"RefStringPartII":". Phys. Rev. Lett. 127(7): 078301. https://dx.doi.org/10.1103/PhysRevLett.127.078301","DocTypID":8,"DocType":"Journal article","MarineFlag":0,"FreshFlag":0,"BrackishFlag":0,"TerrestrialFlag":0,"Authorstring":"Faccin, M.; Schaub, M.T.; Delvenne, J.-C.","OrigTitleTranslFlag":0,"Authorstringtrunc":"Faccin, M.; Schaub, M.T.; Delvenne, J.-C.","Englishabstract":"We consider state-aggregation schemes for Markov chains from an information-theoretic perspective. Specifically, we consider aggregating the states of a Markov chain such that the mutual information of the aggregated states separated by T time steps is maximized. We show that for T = 1 this recovers the maximum-likelihood estimator of the degree-corrected stochastic block model as a particular case, which enables us to explain certain features of the likelihood landscape of this generative network model from a dynamical lens. We further highlight how we can uncover coherent, long-range dynamical modules for which considering a timescale T ≫ 1 is essential. We demonstrate our results using synthetic flows and real-world ocean currents, where we are able to recover the fundamental features of the surface currents of the oceans.","AbstractOtherLang":null,"BibLvlCode":"AS","StandardTitle":"State aggregations in Markov chains and block models of networks","OrigTitleLangCode":"en","OrigTitleLangCodeExtended":"eng","OrigTitleLangID":15,"DateLastModified":{"date":"2026-04-22 01:32:25.559946","timezone_type":1,"timezone":"+02:00"},"UserAccessRight":null,"UserAccID":null,"AuthorKeywords":null,"OtherDescriptors":null,"Notes":null,"AnaPub":2021,"MonPub":null,"DateUpdate":"2022-07-05","DateCreate":"2022-07-01","SecASFANote":null,"ConfID":null,"PeerRev":1,"VlizCoreFlag":1,"WoScode":"WOS:000685113200004","VABBcode":null,"OpenAcc":0,"DOI":"10.1103/PhysRevLett.127.078301"},"refs":null,"anarec":{"AnaID":353306,"PubliDate":2021,"Pagination":"078301","XtraPublOfAnaID":null,"ISBN":null,"Volume":"127","Issue":"7","BRefMon":null,"BRefMonRR":null,"BRefXtra":null,"BRefXtraRR":null,"SerBRefID":124115,"SerRR":"Physical Review Letters. American Physical Society: Woodbury, N.Y., etc.. ISSN 0031-9007; e-ISSN 1079-7114","StandardTitleSer":"Physical Review Letters","ISSN":"0031-9007","AbbrevSer":"Phys. Rev. Lett.","StandardTitleMon":null,"StartPage":7,"Pages":null,"ToPubliDate":null,"BRefBibLvlCode":"S","SerNotes":null},"monrec":null,"serrec":null,"relations":null,"relationsRev":null,"addrec":null,"othpubs":null,"ownerships":null,"authors":[{"AutName":"Faccin","Firstname":"Mauro","Initials":"M.","Affiliation":"ICTEAM, Université catholique de Louvain","Discriminator":null,"CorporateFlag":0,"BEntID":351015,"AutID":493483,"OrderNr":1,"DegrID":null,"EditorFlag":0,"CorrespFlag":0,"IllustratorFlag":0,"ReviserFlag":0,"TranslatorFlag":0,"InsAcronym":"ICTEAM","InsFSN":"Université Catholique de Louvain; Institute of Information and Communication Technologies, Electronics and Applied Mathematics","ORCID":"0000-0003-0706-3007","PersID":41374,"InsID":14607},{"AutName":"Schaub","Firstname":"Michael","Initials":"M.T.","Affiliation":null,"Discriminator":null,"CorporateFlag":0,"BEntID":351015,"AutID":493485,"OrderNr":2,"DegrID":null,"EditorFlag":0,"CorrespFlag":0,"IllustratorFlag":0,"ReviserFlag":0,"TranslatorFlag":0,"InsAcronym":null,"InsFSN":null,"ORCID":null,"PersID":null,"InsID":null},{"AutName":"Delvenne","Firstname":"Jean-Charles","Initials":"J.-C.","Affiliation":"ICTEAM, Université catholique de Louvain","Discriminator":null,"CorporateFlag":0,"BEntID":351015,"AutID":493486,"OrderNr":3,"DegrID":null,"EditorFlag":0,"CorrespFlag":0,"IllustratorFlag":0,"ReviserFlag":0,"TranslatorFlag":0,"InsAcronym":"ICTEAM","InsFSN":"Université Catholique de Louvain; Institute of Information and Communication Technologies, Electronics and Applied Mathematics","ORCID":null,"PersID":41375,"InsID":14607}],"mapdetails":null,"datasets":null,"monographs":null,"monparts":null,"serparts":null,"BEntOpen":null,"BEntPrivate":null,"availability":[{"BInstID":378649,"LibID":36,"BRefID":353306,"EmbargoDate":null,"FullEmbargoDate":null,"PhysMedID":16,"hasOCRd":null,"ShelfLocCode":"378649","RFID":null,"PaidValue":null,"Medium":"Server","Description":"Interne VLIZ documenten","Acronym":"VLIZ","Library":"Vlaams Instituut voor de Zee","DutchTerm":"Non-open access","URL":null,"ClassifID":228,"Classification":"Non-open access","ReqLink":1,"ClassifTypID":3,"URLLocation":"https://www.vliz.be/imisdocs/publications/","SubDir":1,"InternalReq":1,"LoggedInReq":1,"Disclaimer":"Disclaimer_VLIZ_Intern","DutchDisclaimer":"
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