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Understanding Complex Systems Alexander Mehler Andy Lücking Sven Banisch Philippe Blanchard Barbara Frank-Job Editors Towards a Theoretical Framework for Analyzing Complex Linguistic Networks Springer Complexity SpringerComplexityisaninterdisciplinaryprogram publishingthebestresearchandacademic- level teachingonbothfundamental andappliedaspects ofcomplexsystems—cutting across all traditionaldisciplinesofthenaturalandlifesciences,engineering, economics,medicine,neuro- science,socialandcomputerscience. ComplexSystemsaresystemsthatcomprisemanyinteractingpartswiththeabilitytogenerate anewqualityofmacroscopiccollectivebehaviorthemanifestationsofwhicharethespontaneous formationofdistinctivetemporal,spatialorfunctionalstructures.Modelsofsuchsystemscanbe successfullymappedontoquitediverse“real-life”situationsliketheclimate,thecoherentemis- sion oflight from lasers, chemical reaction–diffusion systems, biological cellular networks, the dynamicsofstockmarketsandoftheinternet,earthquakestatisticsandprediction,freewaytraffic, thehumanbrain,ortheformationofopinionsinsocialsystems,tonamejustsomeofthepopular applications. Althoughtheirscopeandmethodologiesoverlapsomewhat,onecandistinguishthefollowing mainconceptsandtools:self-organization,nonlineardynamics,synergetics,turbulence,dynami- calsystems,catastrophes,instabilities,stochasticprocesses,chaos,graphsandnetworks,cellular automata,adaptivesystems,geneticalgorithmsandcomputationalintelligence. ThethreemajorbookpublicationplatformsoftheSpringerComplexityprogramarethemono- graphseries“UnderstandingComplexSystems”focusingonthevariousapplicationsofcomplex- ity,andthe“SpringerSeriesinSynergetics”,whichisdevotedtothequantitativetheoreticaland methodologicalfoundations,andthe“SpringerBriefsinComplexity”whichareconciseandtopical workingreports,case-studies,surveys,essaysandlecturenotesofrelevancetothefield.Inaddition tothebooksinthesetwocoreseries,theprogramalsoincorporatesindividualtitlesrangingfrom textbookstomajorreferenceworks. EditorialandProgrammeAdvisoryBoard HenryAbarbanel,InstituteforNonlinearScience,UniversityofCalifornia,SanDiego,USA DanBraha,NewEnglandComplexSystems,InstituteandUniversityofMassachusetts,Dartmouth,USA PéterÉrdi,CenterforComplexSystemsStudies,KalamazooCollege,USAandHungarianAcademyof Sciences,Budapest,Hungary KarlFriston,InstituteofCognitiveNeuroscience,UniversityCollegeLondon,London,UK HermannHaken,CenterofSynergetics,UniversityofStuttgart,Stuttgart,Germany Viktor Jirsa, Centre National de la Recherche Scientifique (CNRS), Université de la Méditerranée, Marseille,France JanuszKacprzyk,SystemResearch,PolishAcademyofSciences,Warsaw,Poland KunihikoKaneko,ResearchCenterforComplexSystemsBiology,TheUniversityofTokyo,Tokyo,Japan ScottKelso,CenterforComplexSystemsandBrainSciences,FloridaAtlanticUniversity,BocaRaton, USA Markus Kirkilionis, Mathematics Institute and Centre for Complex Systems, University ofWarwick, Coventry,UK JürgenKurths,NonlinearDynamicsGroup,UniversityofPotsdam,Potsdam,Germany AndrzejNowak,DepartmentofPsychology,WarsawUniversity,Poland HassanQudrat-Ullah,SchoolofAdministrativeStudies,YorkUniversity,Canada LindaReichl,CenterforComplexQuantumSystems,UniversityofTexas,Austin,USA PeterSchuster,TheoreticalChemistryandStructuralBiology,UniversityofVienna,Vienna,Austria FrankSchweitzer,SystemDesign,ETHZürich,Zürich,Switzerland DidierSornette,EntrepreneurialRisk,ETHZürich,Zürich,Switzerland StefanThurner,SectionforScienceofComplexSystems,MedicalUniversityofVienna,Vienna,Austria Understanding Complex Systems Founding Editor: Scott Kelso Futurescientificandtechnological developments inmanyfieldswillnecessarily dependuponcoming togripswithcomplexsystems.Suchsystemsarecomplexinboththeircomposition—typically many differentkindsofcomponentsinteractingsimultaneouslyandnonlinearlywitheachotherandtheirenvi- ronmentsonmultiplelevels—andintherichdiversityofbehaviorofwhichtheyarecapable. TheSpringerSeriesinUnderstandingComplexSystemsseries(UCS)promotesnewstrategiesand paradigmsforunderstandingandrealizingapplicationsofcomplexsystemsresearchinawidevarietyof fieldsandendeavors.UCSisexplicitlytransdisciplinary.Ithasthreemaingoals:First,toelaboratethe concepts,methodsandtoolsofcomplexsystemsatalllevelsofdescriptionandinallscientificfields, especiallynewlyemergingareaswithinthelife,social,behavioral,economic,neuro-andcognitivesci- ences(andderivativesthereof);second,toencouragenovelapplicationsoftheseideasinvariousfields ofengineeringandcomputationsuchasrobotics,nano-technology andinformatics;third,toprovidea singleforumwithinwhichcommonalitiesanddifferencesintheworkingsofcomplexsystemsmaybe discerned,henceleadingtodeeperinsightandunderstanding. UCSwillpublishmonographs,lecturenotesandselectededitedcontributionsaimedatcommunicat- ingnewfindingstoalargemultidisciplinaryaudience. Moreinformationaboutthisseriesathttp://www.springer.com/series/5394 · Alexander Mehler Andy Lücking · Sven Banisch Philippe Blanchard Barbara Frank-Job Editors Towards a Theoretical Framework for Analyzing Complex Linguistic Networks ABC Editors AlexanderMehler PhilippeBlanchard Goethe-UniversityFrankfurtamMain DepartmentofPhysics DepartmentofComputerScience UniversityofBielefeld andMathematics Bielefeld FrankfurtamMain Germany Germany BarbaraFrank-Job AndyLücking FacultyofLinguistics&LiteraryStudies Goethe-UniversityFrankfurtamMain UniversityofBielefeld DepartmentofComputerScience Bielefeld andMathematics Germany FrankfurtamMain Germany SvenBanisch MaxPlanckInstituteforMathematics intheSciences Inselstrasse22 D-04103Leipzig Germany ISSN1860-0832 ISSN1860-0840 (electronic) UnderstandingComplexSystems ISBN978-3-662-47237-8 ISBN978-3-662-47238-5 (eBook) DOI10.1007/978-3-662-47238-5 LibraryofCongressControlNumber:2015940024 SpringerHeidelbergNewYorkDordrechtLondon (cid:2)c Springer-VerlagBerlinHeidelberg2016 Thisworkissubjecttocopyright.AllrightsarereservedbythePublisher,whetherthewholeorpartof thematerialisconcerned,specificallytherightsoftranslation,reprinting,reuseofillustrations,recitation, broadcasting,reproductiononmicrofilmsorinanyotherphysicalway,andtransmissionorinformation storageandretrieval,electronicadaptation,computersoftware,orbysimilarordissimilarmethodology nowknownorhereafterdeveloped. Theuseofgeneraldescriptivenames,registerednames,trademarks,servicemarks,etc.inthispublication doesnotimply,evenintheabsenceofaspecificstatement,thatsuchnamesareexemptfromtherelevant protectivelawsandregulationsandthereforefreeforgeneraluse. Thepublisher,theauthorsandtheeditorsaresafetoassumethattheadviceandinformationinthisbook arebelievedtobetrueandaccurateatthedateofpublication.Neitherthepublishernortheauthorsor theeditorsgiveawarranty,expressorimplied,withrespecttothematerialcontainedhereinorforany errorsoromissionsthatmayhavebeenmade. Printedonacid-freepaper Springer-VerlagGmbHBerlinHeidelbergispartofSpringerScience+BusinessMedia (www.springer.com) Introduction AlexanderMehler,AndyLu¨cking,SvenBanisch, PhilippeBlanchard,andBarbaraFrank-Job 1 Onthe Content ofThis Book Currently,weobserveanadventofapproachestoanalyzinglinguisticnetworkswith themethodsofstochasticphysicsandgraphtheory.Generallyspeaking,alinguis- tic network is represented by a graph whose vertices denote linguistic units (e.g., words, sentences, or textual units) and whose edges modellinguistic (e.g. syntac- tic,semanticorpragmatic)relationsoftheseunits.Theaimofmodelsoperatingon such networks is to capture the synchronic, topologicalor evolutionary dynamics oflinguisticsystems, say,onthephonological,morphological,syntactic,semantic orpragmaticlevel.Whatthese approacheshaveincommonisthattheymodelthe structuralor temporaldynamicsof linguistic systems in orderto test information- theoreticalorlinguistichypothesesonthegroundsofcomplexnetworktheory.This ispartlydoneintermsofastrongnetworkperspectiveaccordingtowhichthenet- workapproachisseentobeindispensabletotestthefocalhypotheses.Apparently, the area of language evolution provides a good test case for such an approach. AlexanderMehler·AndyLu¨cking Goethe-UniversityFrankfurtamMain,DepartmentofComputerScienceandMathematics, FrankfurtamMain,Germany e-mail:{Mehler,Luecking}@em.uni-frankfurt.de SvenBanisch MaxPlanckInstituteforMathematicsintheSciences,Inselstrasse22, D-04103Leipzig,Germany e-mail:[email protected] PhilippeBlanchard FacultyofPhysics,BielefeldUniversity,Germany e-mail:[email protected] BarbaraFrank-Job FacultyofLinguistics&LiteraryStudies,UniversityofBielefeld,Bielefeld,Germany e-mail:[email protected] VI A.Mehleretal. Language evolution can be seen as a meso system that connects language as a macro system with the micro system of cognitive processes of language process- ing.Startingfromsuch a unifiedapproachto languagestructure,languagechange andprocessing,networkapproachestry to gaininsightsinto the lawsof linguistic informationprocessingincommunitiesofsocialagents. Inspiteoftheremarkablesuccessregardingthedevelopmentofexpressivegraph modelsoflinguisticsystems,theseapproachesarestillinneedofaunifyingframe- work.Todate,themodelsareconnectedbyacommonmethodicalstancebasedon complexnetworktheoryinadditiontoquantitativelinguistics.Thus,wefacearange of diverse network models that focus on laws of information processing without clarifyingtheirsynergeticinterdependencies.Thisispartlyduetothelackofshared standardsofdatamodeling,oftheinteroperabilityofalgorithmicgraphmodelsand ofthesustainabilityoftheunderlyinglinguisticresourcesandcorpora.Obviously, interdisciplinary research across the boarder of computer science, linguistics and stochasticphysicsmayprofitfromtheavailabilityofsuchstandards. This book aims at making first steps into the direction of filling this gap. It presentstheoreticaland empiricalresultsin supportofa unifyingapproachto lin- guistic networks that may help to overcome bottleneck problems of this field of research.Tothisend,thebookcomprisesrecentresearcheffortsintheareaoflin- guisticnetworks.Itbringstogetherscientistswithdiversebackgroundsrangingfrom linguisticstotext-technology,fromcomputationalhumanitiestostatisticalnetwork theory.The bookis organized,roughly,into six partsincludingsemanticand syn- tactic networks, the interplay of language and cognition, the simulation of socio- linguisticdynamicsandtext-technologicalresourcesofnetworkmodeling.Special emphasisis putoncritical articlesand articlesthat reviewrecentdevelopmentsin thefield.Thisincludesthefollowingfieldsofresearch: (cid:129) Resourcesoflinguisticnetworkanalysis. (cid:129) Principlesoflinguisticnetworkinduction. (cid:129) Topologicalmodelsoflanguagestructure. (cid:129) Modelsoflanguagedynamics:evolution,diachrony,change. (cid:129) Unifiedmodelsfromstochasticphysics. (cid:129) Networkmodelsfromcognitivelinguistics. (cid:129) Networkmodelsofphonological,lexical,syntactic,semanticorpragmaticsys- tems. (cid:129) Networkmodelsoftextsystemsincontrasttolanguagesystems. Dealingwiththeseandrelatedtopics,theaimofthebookistoadvocateandpromote networkmodelsoflinguisticsystemsthatarebothbasedonthoroughmathematical modelsandsubstantiatedintermsoflinguisticinterpretations.Inthisway,thebook contributesfirststepstowardsestablishingastatisticalnetworktheoryasatheoret- ical basis of linguistic network analysis across the boarderof the naturalsciences andthehumanities. Introduction VII 2 Overview oftheBook 2.1 PartI:Cognition Successfulapplicationsofnetworkanalysiswithaparticularfocusontheinterplay of language and cognition are reviewed in the chapter of Beckage and Colunga. Concentratingonsemanticandphonologicalnetworks,itexploresnetworkfeatures andtheirrelationtohumanlanguageperformanceincludingtheapplicationtocog- nitiveimpairmentandatypicalbehavior. The chapter by Vitevitch, Goldstein and Johnson combines network tools and datafromapsycholinguisticexperimenttoexplorespeechperceptionerrorswiththe aimtounderstandbetterwhatisperceivedwhenaspokenwordismisperceived.The experimentalresultsoftheirphonologicalassociationtaskareevaluatedintermsof path’onanetworkofphonologicalsimilarity. The chapter by De Deyne, Verheyen and Storms compares semantic networks derivedfromtextcorporawithnetworksobtainedthroughwordassociationexper- iments by looking at macro- and mesoscopic properties of both types of graphs. Whiletheanalysisrevealsstructuralsimilaritiesatthegloballevel,significantdif- ferencesbetweentextandwordassociationgraphsemergeatalowerlevelofcom- munitystructureorcentrality.Thechapteralsopresentsacomparisonwithhuman relatednessjudgments. 2.2 PartII:Topology The chapter by Biemann, Krumov, Roos and Weihe presents a statistical analysis ofthemotifsignaturesofco-occurrencegraphsincludingco-authorshipnetworks, communication networks and linguistic co-occurrence graphs of natural and arti- ficial languages. Based on the hypothesis that different word classes serve differ- entfunctionsinalanguageananalysisofco-occurrencegraphsfordifferentword classes(verbsvs.nounsvs.adjectivesetc.)isperformedwhichshowsthatespecially verbsaredistinguishablefromotherwordclassesbytheirmotifsignature–across differentlanguages. ThechapterbyArau´joandBanischhighlightstheneedtoconsiderdifferentways ofnetworkinductioninnetwork-basedanalysisoflanguageandreasonsthatinduc- tionandanalysisarestronglyinterdependenttasks.Basedonaframeworkcompris- ing differentabstractionlevelsalongwith levelsof statistical analysis,the authors arguethatthefieldoflinguisticnetworksischallengedbythefactthataninterpre- tation of topological indicators used in network analysis becomes the harder, the highertheabstractionlevelofthenetwork. The chapter by Masucci, Kalampokis, Egu´ıluz and Herna´ndez-Garc´ıa presents an information-theoretic approach to derive a directed network of semantic flow between Wikipedia articles using a complete snapshot of the English Wikipedia. Theauthorsshowthattheresultingsemanticspaceischaracterizedbyascale-free behavior at differentscales which implies a hierarchicalorganization of semantic spaces. VIII A.Mehleretal. The chapter by Zweig confronts the physically-inspired context-free quest for universal structures with the need of contextual interpretations in sociology and in linguistics. Zweigquestionsthe usefulnessof networkrepresentationsofword- adjacencyrelations,becausemostofthewell-knowntopologicalindicatorsrelyona ratherspecificnetworkprocessandtheymaythereforebemisleadingifthisprocess isnotknownornotadequatelymodeledbytheprocessunderlyingthemethod. 2.3 PartIII:Syntax ThechapterbyCˇech,MacˇutekandLiupresentsacriticalreviewoftheapplication of complex network tools to the analysis of syntax and points out the main chal- lengesforfurtherresearch.Amongmanyotherthings,thearticlediscussestheim- pactofsyntaxonnetworkproperties,thepreprocessingofdata,andtheapplication ofnetworkstudiestolanguagetypologyandacquisition. A second chapter dealing with syntactic dependency networks is by Chen and Liu.Basedontwosyntacticdependencynetworksfromdifferentgenresthischapter analyses the syntactic status of three function words in Chinese. The importance (the authors propose the notion of syntactic centrality) of the words is analyzed byindependentlyremovingthemfromthe networkandcomparingtheirstatistical characteristicsbeforeandafterremoval. ThechapterbyFerreriCanchochallengestheexistingtheoryofsyntaxbycon- fronting the observation that syntactic dependencies between the words of a sen- tence rarely cross when drawn over a sentence with two null hypotheses for the expected number of crossings by chance. Relying on the trade-off between parsi- monyandexplanatorypower,thechapterarguesthattheminimizationofsyntactic dependencylength(asaprinciplethatderivesfromlimitedcomputationalresources ofthebrain)canexplainuncrossingdependenciesandthatthisexplanationis,from aneconomicpointofview,preferableoverexplanationsrelyingongrammar. 2.4 PartIV:Dynamics Theroleofculturaltransmissioninlanguagechangeacrossthreegenerationsisan- alyzed on the basis of an extended simulation model by Gong and Shuai. While transmissionwithintheoffspringgenerationandbetweentheoffspringandthepar- entgenerationfosterslanguagechangeand leads, at the same time, to mutualun- derstandability within generations and across consecutive generations, interaction betweenchildrenandtheirgrandparent’sgenerationplaysanimportantroleinpre- servingmutualcross-generationalunderstandabilityinthelongrun. AnothersimulationstudyispresentedbyBaxterwhocomplementshisnumerical resultswithanalyticalarguments.Drawingonanevolutionaryapproachtolanguage change,theauthorlooksindetailtotheconvergencebehaviorofthemodelondif- ferent social networks and with heterogeneous patterns of mutual influence that, takentogether,mayencodeavarietyofsocialstructures. Introduction IX The chapter by Maity and Mukherjee presents a simulation study of the effect ofinflexibleindividualsonthedynamicsofthenaminggameandshowsthatrigid minoritieslead to the emergenceof dominantstates in the population.The model isanalyzedonaseriesofstaticnetworksofdifferentcomplexityrangingfromthe completegraphtoscale-freetopologiesandadynamicnetworkobtainedfromreal- worldtime-varyingface-to-faceinteractiondataisalsoconsidered. 2.5 PartV:Resources Therequirementsofadataformatapplicabletothewiderangeoflinguisticnetwork dataarediscussedinthechapterbyStu¨hrenberg,DiewaldandGleim.Theauthors analyzevariousexistinggraphformatsinrelationtotheirexpressivityandsupport bycommontoolsfornetworkanalysisandproposeanextensionofGraphMLasa possiblycomplexdatamodelofa graphwhichallowstoquicklyextractviewsfor specifictasks,ratherthanextractingincoherentdifferentviewsfromrawdata.Itis noteworthy,thatthischaptergrewoutofaworkinggroupthatwasconstitutedatthe MLNconference. ThebookconcludeswiththechapterbyMehlerandGleimwhopresenttheLN system, an online platform for the automatic generation of lexical networks from texts.Itaddressestwocommunities:ontheonehandhumanitiesscholars(e.g.,his- toricalsemanticists)whoaimatstudyingthechangeoflanguageuseasanindicator of social-semantic change. On the other hand, network theorists who are in need ofnullmodelsformakinglinguisticnetworkscomparable.TheworkflowoftheLN system–usingGraphMLasanoutputstandardforlinguisticnetworks–isexplained andexemplified.

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The aim of this book is to advocate and promote network models of linguistic systems that are both based on thorough mathematical models and substantiated in terms of linguistics. In this way, the book contributes first steps towards establishing a statistical network theory as a theoretical basis o
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