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1、TestingtheRobustnessofLawsofPolysemyandBrevityVersusFrequencyAntoniHern´andez-Fern´andez2(B),BernardinoCasas1,RamonFerrer-i-Cancho1,andJaumeBaixeries11ComplexityandQuantitativeLinguisticsLab,LaboratoryforRelationalAlgorithmics,ComplexityandLearning(LARCA),DepartamentdeCi`enciesdelaComputaci´o,U
2、niversitatPolit`ecnicadeCatalunya,Barcelona,Catalonia,Spain{bcasas,rferrericancho,jbaixer}@cs.upc.edu2ComplexityandQuantitativeLinguisticsLab,LaboratoryforRelationalAlgorithmics,ComplexityandLearning(LARCA),InstitutdeCi`enciesdel’Educaci´o,UniversitatPolit`ecnicadeCatalunya,Barcelona,Catalonia,
3、Spainantonio.hernandez@upc.eduAbstract.ThepioneeringresearchofG.K.Zipfontherelationshipbetweenwordfrequencyandotherwordfeaturesledtotheformula-tionofvariouslinguisticlaws.Herewefocusonacoupleofthem:themeaning-frequencylaw,i.e.thetendencyofmorefrequentwordstobemorepolysemous,andthelawofabbreviat
4、ion,i.e.thetendencyofmorefrequentwordstobeshorter.Hereweevaluatetherobustnessoftheselawsincontextswheretheyhavenotbeenexploredyettoourknowl-edge.Therecoveryofthelawsagaininnewconditionsprovidessupportforthehypothesisthattheyoriginatefromabstractmechanisms.Keywords:Zipf’slaw·Polysemy·Brevity·Wor
5、dfrequency1IntroductionThelinguistGeorgeKingsleyZipf(1902–1950)isknownforhisinvestigationsonstatisticallawsoflanguage[20,21].PerhapsthemostpopularoneisZipf’slawforwordfrequencies[20],thatstatesthatthefrequencyofthei-thmostfrequentwordinatextfollowsapproximatelyf∝i−α(1)wherefisthefrequencyofthat
6、word,itheirrankororderandαisaconstant(α≈1).Zipf’slawforwordfrequenciescanbeexplainedbyinformationtheo-reticmodelsofcommunicationandisarobustpatternoflanguagethatpresentsinvariancewithtextlength[9]butdependencywithrespecttothelinguisticunitsconsidered[5].Thefocusofthecurrentpaperareacoupleofling
7、uisticlawsthatareperhapslesspopular:cSpringerInternationalPublishingAG2016P.Kr´alandC.Mart´ın-Vide(Eds.):SLSP2016,LNAI9918,pp.1929,2016.DOI:10.1007/978-3-319-45925-7220A.Hern´andez-Fern´andezetal.–Meaning-frequencylaw[19],thetend
