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Psych 156A/ Ling 150: Acquisition of Language II Lecture 16 Structure I Announcements HW3 is due by the end of class today Review questions are available for structure Online course evaluations are available for this class - please fill them out! :) Subject Verb Object Jareth juggles crystals Computational Problem: Figure out the order of words (syntax) Depends on grammatical categories like Nouns and Verbs (and their associated phrases (NP)), but also on more precise distinctions like Subjects and Objects. Noun Verb Noun NP NP Some Noun Phrase distinctions: Subject = usually the agent/actor of the action, “doer”: Jareth Object = usually the recipient of the action, “done to”: crystals Computational Problem: Figure out the order of words (syntax) Important idea: The observable word order speakers produce (like Subject Object Verb) is the result of a system of word order rules that speakers unconsciously use when they speak. This system of word order rules is called syntax. Subject Verb Object Jareth juggles crystals

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Page 1: Announcements Psych 156A/ Ling 150: Acquisition of ...lpearl/courses/psych156A_2016spring/lectures/Lecture16-Structure1.pdfAnother way to generate Subject Verb Object order: The linguistic

Psych156A/Ling150:AcquisitionofLanguageII

Lecture16StructureI

Announcements

HW3isduebytheendofclasstoday

Reviewquestionsareavailableforstructure

Onlinecourseevaluationsareavailableforthisclass-pleasefillthemout!:)

SubjectVerbObjectJarethjugglescrystals

ComputationalProblem: Figureouttheorderofwords(syntax)

DependsongrammaticalcategorieslikeNounsandVerbs(andtheirassociatedphrases(NP)),butalsoonmoreprecisedistinctionslikeSubjectsandObjects.

NounVerbNounNPNP

SomeNounPhrasedistinctions:Subject=usuallytheagent/actoroftheaction,“doer”:JarethObject=usuallytherecipientoftheaction,“doneto”:crystals

ComputationalProblem: Figureouttheorderofwords(syntax)

Importantidea:Theobservablewordorderspeakersproduce(likeSubjectObjectVerb)istheresultofasystemofwordorderrulesthatspeakersunconsciouslyusewhentheyspeak.Thissystemofwordorderrulesiscalledsyntax.

SubjectVerbObjectJarethjugglescrystals

Page 2: Announcements Psych 156A/ Ling 150: Acquisition of ...lpearl/courses/psych156A_2016spring/lectures/Lecture16-Structure1.pdfAnother way to generate Subject Verb Object order: The linguistic

ComputationalProblem: Figureouttheorderofwords(syntax)

OnewaytogenerateSubjectVerbObjectorder:Thelinguisticsystemspecifiesthatorderasthegeneralpatternofthelanguage.AnexampleofthiskindofsystemisEnglish.

SubjectVerbObjectEnglish

SubjectVerbObjectJarethjugglescrystals

ComputationalProblem: Figureouttheorderofwords(syntax)

AnotherwaytogenerateSubjectVerbObjectorder:ThelinguisticsystemspecifiesSubjectObjectVerbasthegeneralpattern,buttheVerbinmainclausesmovestothesecondpositionandsomeotherphrase(liketheSubject)movestothefirstposition.AnexamplelanguagelikethisisGerman.

German SubjectObjectVerb

SubjectVerbObjectJarethjugglescrystals

ComputationalProblem: Figureouttheorderofwords(syntax)

____ VerbSubjectObjectVerb

movementrules

AnotherwaytogenerateSubjectVerbObjectorder:ThelinguisticsystemspecifiesSubjectObjectVerbasthegeneralpattern,buttheVerbinmainclausesmovestothesecondpositionandsomeotherphrase(liketheSubject)movestothefirstposition.AnexamplelanguagelikethisisGerman.

German

SubjectVerbObjectJarethjugglescrystals

ComputationalProblem: Figureouttheorderofwords(syntax)

SubjectVerbSubjectObjectVerb

movementrules

AnotherwaytogenerateSubjectVerbObjectorder:ThelinguisticsystemspecifiesSubjectObjectVerbasthegeneralpattern,buttheVerbinmainclausesmovestothesecondpositionandsomeotherphrase(liketheSubject)movestothefirstposition.AnexamplelanguagelikethisisGerman.

German

SubjectVerbObjectJarethjugglescrystals

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ComputationalProblem: Figureouttheorderofwords(syntax)

AthirdwaytogenerateSubjectVerbObjectorder:ThelinguisticsystemspecifiesSubjectObjectVerbasthegeneralpattern,buttheObjectmovesaftertheVerbincertaincontexts(theObjectisunexpectedinformation).Kannadaisalanguagelikethis.

Kannada SubjectObjectVerb

SubjectVerbObjectJarethjugglescrystals

ComputationalProblem: Figureouttheorderofwords(syntax)

Kannada SubjectObjectVerbObject

movementrule

AthirdwaytogenerateSubjectVerbObjectorder:ThelinguisticsystemspecifiesSubjectObjectVerbasthegeneralpattern,buttheObjectmovesaftertheVerbincertaincontexts(theObjectisunexpectedinformation).Kannadaisalanguagelikethis.

SubjectVerbObjectJarethjugglescrystals

SubjectVerbObject SubjectVerbSubjectObjectVerb

EnglishGerman

Kannada

SubjectObjectVerbObject

ComputationalProblem: Figureouttheorderofwords(syntax)

Thelearningproblem:Howdochildrenknowwhichsystemtheirlanguageuses?

SubjectVerbObjectJarethjugglescrystals

ComputationalProblem: Figureouttheorderofwords(syntax)

Thisisahardquestion!

Childrenonlyseetheoutputofthesystem(theobservablewordorderofSubjectVerbObject).

SubjectVerbObject SubjectVerbSubjectObjectVerb

EnglishGerman

Kannada

SubjectObjectVerbObject

SubjectVerbObjectJarethjugglescrystals

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Syntax:Onereasonwhytranslationissohard

Translationisnotsoeasy: morethanjustword-by-word

http://www.nbc.com/nbc/The_Tonight_Show_with_Jay_Leno/headlines/

Hebrew

Translationisnotsoeasy: morethanjustword-by-word

Literally:Throughdangersimmenseanddifficultiesnotnumbered,there-isto-mefightingthroughmyherecastletransitioncitygoblintakebackyouchildthere-wasto-youstolen.

translate.google.com

HaitianCreole

Translationisnotsoeasy: morethanjustword-by-word

Literally:Throughdangercountlessanddifficultiescountless,IwasfighthowmeheretheymansionthemorefarthancitiestheGoblintheytakebackchildrenofthatyouwasthiefit.

translate.google.com

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Hindi

Translationisnotsoeasy: morethanjustword-by-word

Literally:Untoldanduncountabledifficultiesthreatsmediumthrough,Iyoustoleisthatchildrenbacktaketheghostcitybeyondpalacethehereyourmethodsfromfightfought.

translate.google.com

Abouthumanknowledge:Language&variation

NavajoCodeTalkers

http://en.wikipedia.org/wiki/Code_talker#Use_of_Navajo

“…JohnstonsawNavajoasansweringthemilitaryrequirementforanundecipherablecode.NavajowasspokenonlyontheNavajolandsoftheAmericanSouthwest,anditssyntaxandtonalqualities,nottomentiondialects,madeitunintelligibletoanyonewithoutextensiveexposureandtraining.OneestimateindicatesthatattheoutbreakofWorldWarIIfewerthan30non-Navajoscouldunderstandthelanguage….”

https://www.youtube.com/watch?v=5rSvm3m8ZUA(~3minvideo)

CrucialcryptographicmethodusedinWorldWarII

NavajoCodeTalkerParadox(Baker2001)

EnglishmustbeverydifferentfromNavajoJapanesecoulddecodeEnglish,butcouldn’tdecodeNavajowhentheydidn’tknowitwasNavajo.

EnglishmustbesimilartoNavajoEnglishcanbetranslatedintoNavajoandbackwithnolossofmeaning.(Languagesarenotjustaproductoftheculture-pastoralArizonalifestylecouldn’thavepreparedthecodetalkersforPacificIslandhightechwarfare.Yet,translationwasstillpossible.)

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Morphology(wordforms)English:invariantwordforms “thegirliscrying”,“Iamcrying”

Navajo:noinvariantforms(theremaybe100-200prefixesforverbstems)

At’éédyicha.“Girlcrying”

Yishcha.“Iamcrying”(yi+sh+cha)

Ninááhwiishdlaad.“Iamagainplowing”(ni+náá+ho+hi+sh+l+dlaad)

Typesofvariation

Wordorder(syntax)English:SubjectVerbObject(invariantwordorder) “Theboysawthegirl”

Navajo:SubjectObjectVerb,ObjectSubjectVerb(varyingwordorders,meaningdependsonlyonverb’sform)

Ashkiiat’éédyiyiiltsáboygirlsaw“Theboysawthegirl”

Ashkiiat’éédbiilstáboygirlsaw“Thegirlsawtheboy”

Typesofvariation

wals.info:TheWorldAtlasofLanguageStructures

Typesofvariation

Let’slookatsyntax…

Jacklaughs.

LaughsJack.ThistellsusthatmostlanguageshavetheSubjectcomebeforetheVerb…butnotalldo.

Typesofvariation

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HowarethedifferentSubjectandVerbordersdistributedaroundtheworld?

Let’slookatsyntax…

Typesofvariation

WhatvaluedoesEnglishhave?

WhataboutFijian?

WhataboutSpanish?

Let’slookatsyntax…

Typesofvariation

Thinkingaboutsyntacticvariation

Similarities&differences:Parameters

Chomsky:Differentcombinationsofdifferentbasicelements(parameters)wouldyieldtheobservablelanguages(similartothewaydifferentcombinationsofdifferentbasicelementsinchemistryyieldmanydifferent-seemingsubstances).

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Similarities&differences:Parameters

BigIdea:Arelativelysmallnumberofsyntaxparametersyieldsalargenumberofdifferentlanguages’syntacticsystems.

5differentparametersofvariation

Similarities&differences:Parameters

BigIdea:Arelativelysmallnumberofsyntaxparametersyieldsalargenumberofdifferentlanguages’syntacticsystems.

2differentparametervaluesofoneparameter

Similarities&differences:Parameters

BigIdea:Arelativelysmallnumberofsyntaxparametersyieldsalargenumberofdifferentlanguages’syntacticsystems.

Totallanguagesthatcanberepresented=2*2*2*2*2=25=32

Similarities&differences:Parameters

BigIdea:Arelativelysmallnumberofsyntaxparametersyieldsalargenumberofdifferentlanguages’syntacticsystems.

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Similarities&differences:Parameters

English

French

Japanese

Navajo

Tagalog

BigIdea:Arelativelysmallnumberofsyntaxparametersyieldsalargenumberofdifferentlanguages’syntacticsystems.

Learninglanguagestructure

Chomsky:Childrenarebornknowingtheparametersofvariation.ThisispartofUniversalGrammar.Inputfromthenativelinguisticenvironmentdetermineswhatvaluestheseparametersshouldhave.

English

Learninglanguagestructure

Chomsky:Childrenarebornknowingtheparametersofvariation.ThisispartofUniversalGrammar.Inputfromthenativelinguisticenvironmentdetermineswhatvaluestheseparametersshouldhave.

Japanese

Learninglanguagestructure

Chomsky:Childrenarebornknowingtheparametersofvariation.ThisispartofUniversalGrammar.Inputfromthenativelinguisticenvironmentdetermineswhatvaluestheseparametersshouldhave.

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Navajo

Learninglanguagestructure

Chomsky:Childrenarebornknowingtheparametersofvariation.ThisispartofUniversalGrammar.Inputfromthenativelinguisticenvironmentdetermineswhatvaluestheseparametersshouldhave.

Generalizationsaboutlanguagestructure

Greenberg’swordordergeneralizations

Navajo Japanese Navajo Japanese

Basicwordorder:SubjectObjectVerb

Ashkiiat’éédyiyiiltsáboygirlsaw

“Theboysawthegirl”

Basicwordorder:SubjectObjectVerb

Jareth-gaHoggle-obuttaJarethHogglehit

“JarethhitHoggle”

Greenberg’swordordergeneralizations

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Navajo Japanese

Postpositions:NounPhrasePostposition

‘éé’biihnáásdzáclothingintoI-got-back“Igotbackinto(my)clothes.”

Postpositions:NounPhrasePostposition

Jareth-gaSarahtokurumadaJarethSarahwithcarby

LondonniittaLondontowent

“JarethwenttoLondonwithSarahbycar.”

Greenberg’swordordergeneralizations

Navajo Japanese

PossessorbeforePossessed

PossessorPossession

Chidíbi-jáádCarits-leg

“thecar’swheel”

PossessorbeforePossessed

PossessorPossession

Toby-noimooto-gaToby’ssister

“Toby’ssister”

Greenberg’swordordergeneralizations

Navajo Japanese

Basicwordorder:SubjectObjectVerb

Basicwordorder:SubjectObjectVerb

Postpositions:NounPhrasePostposition

Postpositions:NounPhrasePostposition

PossessorbeforePossessedPossessorPossession

PossessorbeforePossessedPossessorPossession

Despitethedifferencesinthelanguages(andtheirculturalhistories),bothJapaneseandNavajoareverysimilarwhenviewedthroughthesethreestructuraldescriptions.

Greenberg’swordordergeneralizations

English Edo(Nigeria)

Greenberg’swordordergeneralizations

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English Edo(Nigeria)

Basicwordorder:SubjectVerbObject

SarahfoundToby

Basicwordorder:SubjectVerbObject

ÒzómiénAdésuwá OzofoundAdesuwa

Greenberg’swordordergeneralizations

English Edo(Nigeria)

Prepositions:PrepositionNounPhrase

JarethgavethecrystaltoSarah

Prepositions:PrepositionNounPhrase

ÒzórhiénénéebénéAdésuwáOzogavethebooktoAdesuwa

Greenberg’swordordergeneralizations

English Edo(Nigeria)

PossessedbeforePossessor

PossessionPossessor

questofSarah

(alternative:Sarah’squest)

PossessedbeforePossessor

PossessionPossessor

OmoOzóchildOzo

“childofOzo”

Greenberg’swordordergeneralizations

English Edo(Nigeria)

Basicwordorder:SubjectVerbObject

Basicwordorder:SubjectVerbObject

Prepositions:PrepositionNounPhrase

Prepositions:PrepositionNounPhrase

PossessedbeforePossessorPossessionPossessor

PossessedbeforePossessorPossessionPossessor

Again,despitethedifferencesinthelanguages(andtheirculturalhistories),bothEnglishandEdoareverysimilarwhenviewedthroughthesethreestructuraldescriptions.

Greenberg’swordordergeneralizations

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Greenbergfoundforty-five“universals”oflanguages-patternsoverwhelminglyfollowedbylanguageswithunsharedhistory(Navajo&Japanese,English&Edo)

Notallcombinationsarepossible-somepatternsrarelyappearEx:SubjectVerbObjectlanguage(English/Edo-like)+postpositions(Navajo/Japanese-like)

Moral:Languagesmaybemoresimilarthantheyfirstappear“onthesurface”,especiallyifweconsidertheirstructuralproperties.

Greenberg’swordordergeneralizations Onepotentialparameter

English Italian

SubjectVerb

“Jarethwillcome.”

SubjectVerbJarethverráJarethwill-come

“Jarethwillcome.”

grammatical grammatical

English Italian

VerbSubjectVerráJarethWill-arriveJareth

“Jarethwillarrive”

*VerbSubject

*WillarriveJareth

ungrammatical grammatical

Onepotentialparameter

English Italian

*Verb

Willcome

VerbVerráHe-will-come

“Hewillcome”

ungrammatical grammatical

Onepotentialparameter

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English Italian

SubjectVerb SubjectVerb

VerbSubjectVerb

Thesewordorderpatternsmightbefairlyeasytonotice.TheyinvolvethecombinationsofSubjectandVerbthataregrammaticalinthelanguage.Achildmightbeabletonoticetheprevalenceofsomepatternsandtheabsenceofothers.

Onepotentialparameter

*VerbSubject*Verb

English Italian

Expletivesubjects:wordswithoutcontent(maybemoredifficulttonotice)

Raining.

“It’sraining.”

Piove.It-rains.

“It’sraining.”

Notokaytoleaveoutexpletivesubject“it”.

Okaytoleaveoutexpletivesubject“it”.

Onepotentialparameter

English Italian

That-traceeffectforsubjectquestions

Whodoyouthink(*that)willcome?

Requiresno“that”inembeddedclause,despiteallowing“that”indeclarativesandobjectquestions

Ithink(that)HogglewillsaveSarah.Whodidyouthink(that)Hogglewouldsave?

Onepotentialparameter

CredicheJarethverrá.YouthinkthatJarethwill-come.“YouthinkthatJarethwillcome.”

Checrediche__verrá?Whothink-youthatwill-come?“Whodoyouthinkwillcome?”

Allows“that”intheembeddedclauseofasubjectquestion(anddeclarativeclauses).

Italian

OnepotentialparameterThat-traceeffectforsubjectquestions

English

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English Italian

Notokaytoleaveoutexpletivesubject“it”.

Okaytoleaveoutexpletivesubject“it”.

Doesnotrequirespecialactionforembeddedsubjectquestions.

Requiresspecialactionforembeddedsubjectquestions.

SubjectVerb SubjectVerb

VerbSubject*VerbSubject

*Verb Verb

Alltheseinvolvethesubjectinsomeway-coincidence?Idea:No!There’salanguageparameterinvolvingthesubject.

Onepotentialparameter TheValueofParameters:Learningthehardstuffbynoticingtheeasypatterns

Englishvs.Italian:SubjectParameter

English ItalianSubjectVerb SubjectVerb

VerbSubject*VerbSubject

*Verb Verb

EmbeddedSubject-questionformation(easytomiss)

Whodoyouthink(*that)willcome? Checrediche__verrá?Whothink-youthatwill-come?

ExpletivesItrains

Piove.It-rains.

Hardtonotice

Easiertonotice

Englishvs.Italian:SubjectParameter

Bigidea:Ifallthesestructuralpatternsaregeneratedfromthesamelinguisticparameter(e.g.a“subject”parameter),thenchildrencanlearnthehard-to-noticepatterns(likethepatternsofembeddedsubjectquestions)bybeingexposedtotheeasy-to-noticepatterns(liketheoptionaluseofsubjectswithverbs).Thehard-to-noticepatternsaregeneratedbyonesettingoftheparameter,whichchildrencanlearnfromtheeasy-to-noticepatterns.

Children’sknowledgeoflanguagestructurevariationisbelievedbylinguisticnativiststobepartofUniversalGrammar,whichchildrenarebornwith.

TheValueofParameters:Learningthehardstuffbynoticingtheeasypatterns Anotherpossibleparameter

Syntax:theHeadDirectionalityparameter(Baker2001,Cook&Newson1996):headsofphrases(ex:NounsofNounPhrases,VerbsofVerbPhrases,PrepositionsofPrepositionPhrases)areconsistentlyineithertheleftmostorrightmostposition

Japanese/Navajo:Head-Last

VerbPhrase:ObjectVerb

Postpositions:NounPhrasePostposition

VP

NPObject

Verb

PP

NPObject

Ppostposition

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Anotherpossibleparameter

Syntax:theHeadDirectionalityparameter(Baker2001,Cook&Newson1996):headsofphrases(ex:NounsofNounPhrases,VerbsofVerbPhrases,PrepositionsofPrepositionPhrases)areconsistentlyineithertheleftmostorrightmostposition

VP

NPObject

Verb

PP

PObjectNP

Preposition

Edo/English:Head-First

VerbPhrase:VerbObject

Prepositions:PrepositionNounPhrase

UniversalGrammar:Parameters

SNP VP

NPObject

Subject Verb

PP

PObjectNP

preposition

Edo/English

SNP VP

NPObject

Subject Verb

PP

NPObject

Ppostposition

Japanese/Navajo

Atthislevelofstructuralanalysis(parameters),languagesdiffervaryminimallyfromeachother.Thismakeslanguagestructuremucheasierforchildrentolearn.Alltheyneedtodoissettherightparametervaluesfortheirlanguage,basedonthedatathatareeasytoobserve.

Butwhatarelinguisticparametersreally?Howdotheywork?Whatexactlyaretheysupposedtodo?

Parameters

Aparameterismeanttobesomethingthatcanaccountformultipleobservationsinsomedomain.

Parameterforastatisticalmodel:determineswhatthemodelpredictswillbeobservedintheworldinavarietyofsituations

Parameterforourmental(andlinguistic)model:determineswhatwepredictwillbeobservedintheworldinavarietyofsituations

Page 17: Announcements Psych 156A/ Ling 150: Acquisition of ...lpearl/courses/psych156A_2016spring/lectures/Lecture16-Structure1.pdfAnother way to generate Subject Verb Object order: The linguistic

Statisticalparameters

Thenormaldistributionisastatisticalmodelthatusestwoparameters:

-µ forthemean -σ forthestandarddeviation

Ifweknowthevaluesoftheseparameters,wecanmakepredictionsaboutthelikelihoodofdatawerarelyorneversee.

Supposethisisamodelofhowmanyminuteslateyou’llbetoclass.

Let’susethemodelwithµ =0,andσ2=0.2.(blueline)

Statisticalparameters

Supposethisisamodelofhowmanyminuteslateyou’llbetoclass.

Let’susethemodelwithµ =0,andσ2=0.2.(blueline)

Howlikelyareyoutobe5minuteslate,giventheseparameters?

Notverylikely!Wecantellthisjustbyknowingthevaluesofthetwostatisticalparameters.Theseparametervaluesallowustoinfertheprobabilityofsomeobservedbehavior.

StatisticalparametersObservingdifferentquantitiesof

datawithparticularvaluescantelluswhichvaluesofμandσ2aremostlikely,ifweknowwearelookingtodeterminethevaluesofμandσ2infunctionφ(X)

Observingdatapointsdistributedlikethegreencurvetellsusthatμislikelytobearound-2,forexample.

Statisticalparameters

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Statisticalvs.LinguisticparametersImportantsimilarity: Wedonotseetheprocessthat

generatesthedata,butonlythedatathemselves.ThismeansthatinordertoformourexpectationsaboutX,weare,ineffect,reverseengineeringtheobservabledata.

Ourknowledgeoftheunderlyingfunction/principlethatgeneratesthesedata-φ(X)-aswellastheassociatedparameters-μ,andσ2-allowsustorepresentaninfinitenumberofexpectationsaboutthebehaviorofvariableX.

Linguisticprinciplesvs.linguisticparameters

Bothprinciplesandparametersareoftenthoughtofasinnatedomain-specificabstractionsthatconnecttomanystructuralpropertiesaboutlanguage.

Linguisticprinciplescorrespondtothepropertiesthatareinvariantacrossallhumanlanguages.Comparison:theequation’sform–itisthestatistical“principle”thatexplainstheobserveddata.

Bothprinciplesandparametersareoftenthoughtofasinnatedomain-specificabstractionsthatconnecttomanystructuralpropertiesaboutlanguage.

Linguisticparameterscorrespondtothepropertiesthatvaryacrosshumanlanguages.Comparison:μandσ2determinetheexactformofthecurvethatrepresentsthelikelihoodofobservingcertaindata.Whiledifferentvaluesfortheseparameterscanproducemanydifferentcurves,thesecurvessharetheirunderlyingformduetothecommoninvariantfunction.

Linguisticprinciplesvs.linguisticparameters Theutilityofconnectingtomultipleproperties

Thefactthatparametersconnecttomultiplestructuralpropertiesthenbecomesaverygoodthingfromtheperspectiveofsomeonetryingtoacquirelanguage.Thisisbecauseachildcanlearnaboutthatparameter’svaluebyobservingmanydifferentkindsofexamplesinthelanguage.

“Thericherthedeductivestructureassociatedwithaparticularparameter,thegreatertherangeofpotential‘triggering’datawhichwillbeavailabletothechildforthe‘fixing’oftheparticularparameter”–Hyams(1987)

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Theutilityofconnectingtomultipleproperties

Parameterscanbeespeciallyusefulwhenachildistryingtolearnthethingsaboutlanguagestructurethatareotherwisehardtolearn,perhapsbecausetheyareverycomplexpropertiesthemselvesorbecausetheyappearveryinfrequentlyintheavailabledata.

Whyhard-to-learnstructuresareeasier

Let’sassumeanumberofpropertiesareallconnectedtoparameterP,whichcantakeoneoftwovalues:aorb.

P1P2P3

P4

P5

P aorb?

HowdowelearnwhetherP4showsbehavioraorb?OnewayistoobservemanyinstancesofP4.

P1P2P3

P4

P5

P aorb?

aaaaaaaaaa…

Whyhard-to-learnstructuresareeasier

ButwhatifP4occursveryrarely?WemightneverseeanyexamplesofP4.

P1P2P3

P4

P5

P aorb?

???

Whyhard-to-learnstructuresareeasier

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Fortunately,ifP4isconnectedtoP,wecanlearnthevalueforP4bylearningthevalueofP.Alsofortunately,PisconnectedtoP1,P2,P3,andP5.

P1P2P3

P4

P5

P aorb?

???

Whyhard-to-learnstructuresareeasierStep1:ObserveP1,P2,P3,orP5.Inthiscase,alltheobserved

examplesofthesestructuresarebehaviora.

P1P2P3

P4

P5

P aorb?

aaaaaaaaaaaaaa…

???

Whyhard-to-learnstructuresareeasier

Step2:UsethisknowledgetosetthevalueofparameterPtoa.

P1P2P3

P4

P5

P a

aaaaaaaaaaaaaa…

???

Whyhard-to-learnstructuresareeasierStep3:SinceparameterPisconnectedtoP4,wecanpredictthatP4will

alsoshowbehaviora-eventhoughwe’veneverseenanyexamplesofit!(WecanalsoinferP3andP5thesameway.)

P1P2P3

P4

P5

P a

aaaaaaaaaaaaaa…

a

Whyhard-to-learnstructuresareeasier

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Whyacquisitioniseasier

Thishighlightsanotherbenefitofparameters-wedon’thavetolearnthebehaviorofeachstructureindividually.Instead,wecanobservesomestructures(ex:P1andP2)andinfertherightbehaviorfortheremainingstructures(P3,P4,andP5).

Thatis,insteadofhavingtomake5decisions(oneforP1,P2,P3,P4,andP5),weactuallyonlyneedtomakeonedecision-isPaorb?

P1P2P3

P4

P5

P a

a

aaaaaaaaaaaaaa…aa

HierarchicalBayesianlearninglinks:Overhypotheses

OverhypothesesinhierarchicalBayesianlearningaregeneralizationsmadeatamoreabstractlevel,whichcovermanydifferentdatatypes.

Inthisway,theyaresimilarinspirittolinguisticparameters.

HierarchicalBayesianlearninglinks:Overhypotheses

Overhypothesisexample

Supposeyouareobservingthecontentsofmarblebags.

HierarchicalBayesianlearninglinks:Overhypotheses

Overhypothesisexample

Thefirstbagyoulookathas20blackmarbles.

20

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HierarchicalBayesianlearninglinks:Overhypotheses

Overhypothesisexample

Thesecondbagyoulookathas20whitemarbles.

20 20

HierarchicalBayesianlearninglinks:Overhypotheses

Overhypothesisexample

Thethirdandfourthbagsyoulookathave20blackmarbles.

20 20 20 20

HierarchicalBayesianlearninglinks:Overhypotheses

Overhypothesisexample

Yougetafifthbagandpulloutasinglemarble.It’swhite.Whatdoyoupredictaboutthecolordistributionoftherestofthemarblesinthebag?

20 20 20 20

1

HierarchicalBayesianlearninglinks:Overhypotheses

Overhypothesisexample

Mostadultspredictthisbagwillcontain19otherwhitemarbles,foratotalof20whitemarbles.

20 20 20 20

201

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HierarchicalBayesianlearninglinks:Overhypotheses

Overhypothesisexample

Whatifyouthengetasixthbagandpulloutasinglepurplemarblefromit?

20 20 20 20

201 1

HierarchicalBayesianlearninglinks:Overhypotheses

Overhypothesisexample

Mostadultswouldpredictthattheother19marblesinthatbagarepurpletoo,for20purplemarblestotal.

20 20 20 20

1 20201

HierarchicalBayesianlearninglinks:Overhypotheses

Overhypothesisexample

Whydoesthishappen?Itseemslikeyou’relearningsomethingaboutthecolordistributioningeneral(notjustforaparticularbag):allmarblesinabaghavethesamecolor.Thisallowsyoutomakepredictionswhenyou’veonlyseenasinglemarbleofwhatevercolorfromabag.

20 20 20 20

1 20201

HierarchicalBayesianlearninglinks:Overhypotheses

Overhypothesisexample

20 20 20 20

1 20201observed

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HierarchicalBayesianlearninglinks:Overhypotheses

Overhypothesisexample

20 20 20 20

1 20201allblack allwhite allblack allblack

allthesamecoloroverhypothesis

HierarchicalBayesianlearninglinks:Overhypotheses

Overhypothesisexample

20 20 20 20

1 20201allblack allwhite allblack allblack

allthesamecolor makepredictionsoverhypothesis

HierarchicalBayesianlearninglinks:Overhypotheses

Linguisticoverhypothesisexample

Supposeyouareobservingthewordorderofsentencesyouhear.

HierarchicalBayesianlearninglinks:Overhypotheses

Linguisticoverhypothesisexample

ThefirstsentenceyouhearhastheVerbbeforetheObject(“Seethepenguin?”)

VerbObject

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HierarchicalBayesianlearninglinks:Overhypotheses

Linguisticoverhypothesisexample

ThesecondsentenceyouhearhasthePrepositionbeforetheObject(“Ilikethepenguinontheiceberg”)andalsotheVerbbeforetheObject(“Ilikethepenguinontheiceberg”).

VerbObject PrepositionObjectVerbObject

HierarchicalBayesianlearninglinks:Overhypotheses

Linguisticoverhypothesisexample

Thesedatatellyouaboutwordorderforverbsandobjectsandalsoaboutwordorderforprepositionsandtheirobjects.

VerbObject PrepositionObjectVerbObject

observed

HierarchicalBayesianlearninglinks:Overhypotheses

Linguisticoverhypothesisexample

Inaddition,theyarerelatedviatheheaddirectionalityparameter,whichfunctionsasanoverhypothesis.

VerbObject PrepositionObject

headfirst headfirst

Headdirectionality=headfirst

VerbObject

HierarchicalBayesianlearninglinks:Overhypotheses

Linguisticoverhypothesisexample

Knowingthevalueofthisparameterallowsyoutopredictotherwordorderpropertiesofthelanguage.

PossessionPossessor

makepredictions

VerbObject PrepositionObject

headfirst headfirst

Headdirectionality=headfirst

VerbObject

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HierarchicalBayesianlearninglinks:Overhypotheses

Learningoverhypotheses

Bayesianlearnercomputationalmodelsareabletolearnoverhypotheses,providedtheyknowwhattheparametersareandtherangeofvaluesthoseparameterscantake(ex:Kemp,Perfors,&Tenenbaum2006).

Whataboutreallearners?

Learningoverhypotheses:Dewar&Xu(2010)

9-month-olds

Question: Whenprovidedwithpartialevidenceaboutafew

objectsinafewcategories,caninfantsformamoreabstractgeneralization(anoverhypothesis)thatthenappliestoanewcategory?

Learningoverhypotheses:Dewar&Xu(2010)

9-month-olds

Trainingtrials: Observefourdifferentobjects

pulledoutbyexperimenterwhohadhereyesclosed-theobjectsaredifferentcolorsbutalwayshavethesameshape.

Learningoverhypotheses:Dewar&Xu(2010)

9-month-olds

Experimentaltrials: Expectedoutcome(assuming

infantshadtheoverhypothesisthatalltheobjectsfromasingleboxshouldbethesameshape)=

Experimenterpullsouttwoobjectswiththesamenewshape.

Infantsshouldnotbesurprised.

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Learningoverhypotheses:Dewar&Xu(2010)

9-month-olds

Experimentaltrials: Unexpectedoutcome(assuming

infantshadtheoverhypothesisthatalltheobjectsfromasingleboxshouldbethesameshape)=

Experimenterpullsouttwoobjectswithdifferentshapes,onewhichisnewandonewhichisold.

Infantsshouldbesurprised.

Learningoverhypotheses:Dewar&Xu(2010)

9-month-olds

Controltrials: Expectedoutcome(assuming

infantshadtheoverhypothesisthatalltheobjectsfromasingleboxshouldbethesameshape)=

Experimenterpullsouttwoobjectswiththesamenewshape.

Infantsshouldnotbesurprised.

Learningoverhypotheses:Dewar&Xu(2010)

9-month-olds

Controltrials: Unexpectedoutcomecontrol= Experimenterpullsouttwo

objects,onewithanewshapethatcamefromthenewboxandonewithanoldshapethatcamefromanoldboxthatcontainedthatshape.

Infantsshouldnotbesurprisedthisoutcomeiscompatiblewiththeoverhypothesis.(Theoverhypothesisisactuallyirrelevanthere.)

Learningoverhypotheses:Dewar&Xu(2010)

9-month-olds

Results: Infantsintheexperimental

conditionlookedlongerattheunexpectedoutcome(~14.28s)whencomparedtotheexpectedoutcome(~11.32s).

Theyweresurprisedattheevidencethatdidn’tsupporttheoverhypothesis!

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Learningoverhypotheses:Dewar&Xu(2010)

9-month-olds

Results: Infantsinthecontrolcondition

didnotlooklongerattheexpectedoutcomeascomparedtotheunexpectedoutcomecontrolthathadthesameobjectspresent(~10.3-11.0s).

Theywerenotsurprisedattheevidencethatwascompatiblewiththeoverhypothesis,eveniftheevidenceinvolvedtwodifferentlyshapedobjects.

Learningoverhypotheses:Dewar&Xu(2010)

9-month-olds

Overallresult:

9-month-oldsappearabletoformoverhypothesesfromverylimiteddatasets.

Hopefully,thismeanstheycanalsouselinguisticparameterstolearn,sinceparametersaresimilartooverhypothesesaboutlanguage!

Summary:Linguisticparameters

Linguisticparametersaresimilartostatisticalparametersinthattheyareabstractionsabouttheobservabledata.Forlinguisticparameters,theobservabledataarelanguagedata.

Parametersmakeacquisitioneasierbecausehard-to-learnstructurescanbelearnedbyobservingeasy-to-learnstructuresthatareconnectedtothesameparameters.

Parametersmaybesimilartooverhypotheses,whichBayesianlearnersand9-month-oldsarecapableoflearning.

Questions?

Youshouldbeabletodoupthroughquestion11onthestructurereviewquestions.

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ExtraMaterial

Syntax:Onereasonwhynaturallanguagecomprehensionissohardforcomputers

SolvingtheLanguageProblem(ArtificialIntelligence)

HAL9000from2001:ASpaceOdyssey(1968)

PerfectproductionandcomprehensionofEnglish.

1960s:Languagenotconsideredoneofthe“hard”problemsofartificialintelligence.

2010:Gettingbetterbutstillnotperfect.

http://www.research.att.com/~ttsweb/tts/demo.php

http://bits.blogs.nytimes.com/2012/07/15/with-apple’s-siri-a-romance-gone-sour/?_php=true&_type=blogs&_r=0

SolvingtheLanguageProblem(ArtificialIntelligence)

2012:Apple’sSiriisgettingcloser,thoughstillhasproblems…

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SolvingtheLanguageProblem(ArtificialIntelligence)

Contrast:Chess-playing.

In1997,aprogramnamedDeepBluebeatthereigningworldchampioninchess.Itdidthisbyhavingenoughcomputationalresourcestoinvestigateeverymoveoptionbeforeitactuallymadethechessmove.Thisshowsthatcomputers’poorperformanceonlanguageisnotaboutinsufficientcomputationalpower,sincethereisenoughcomputationalpowertosolvethechess-playingproblem(whichsomepeoplemightconsideraverydifficultproblem).

SolvingtheLanguageProblem(ArtificialIntelligence)

Updatefor2011onamachine’sabilitiestodowhathumansdo:

Manvs.Machine(Watson)inJeopardy&howhardaproblemlanguagecomprehensionandproductionis

http://www.youtube.com/watch?v=dr7IxQeXr7g(approximately9minvideo)

Watsonvs.allhumanityh~ps://www.youtube.com/watch?v=WFR3lOm_xhE(approximately4minvideo)

“We'res�llveryfarfromprogramswithcommonsense-AIthatcananswercomprehensionques�onswiththeskillofachildof8,"saidSloan.Heandhiscolleagueshopethestudywillhelptofocusa~en�ononthe"hardspots"inAIresearch.

http://www.sciencedaily.com/releases/2013/07/130715151059.htm

SolvingtheLanguageProblem(ArtificialIntelligence)

2013:Trueon-the-flylanguagecomprehensionisstillprettyhard,aswellasdeterminingtheanswerto“commonsense”questionsthatarephrasednaturally.

“Oneofthehardestproblemsinbuildinganar�ficialintelligence,Sloansaid,isdevisingacomputerprogramthatcanmakesoundandprudentjudgmentbasedonasimplepercep�onofthesitua�onorfacts-thedic�onarydefini�onofcommonsense.

CommonsensehaseludedAIengineersbecauseitrequiresbothaverylargecollec�onoffactsandwhatSloancallsimplicitfacts—thingssoobviousthatwedon'tknowweknowthem.Acomputermayknowthetemperatureatwhichwaterfreezes,butweknowthaticeiscold.”-JeanneGalatzer-Levy

Typesofvariation

VocabularyEnglish“think”verbs:think,know,wonder,suppose,assume,…

Multipletypesoftheactionverb“think”.Eachhascertainusesthatareappropriate.

“Iwonderwhetherthegirlsavedherlittlebrotherfromthegoblins.”[grammatical]

*“Isupposewhetherthegirlsavedherlittlebrotherfromthegoblins.”[ungrammatical]

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VocabularyEnglish“think”verbs:think,know,wonder,suppose,assume,…Navajo“carry”verbs:dependsonobjectbeingcarriedaah(carryasolidround-ishobject)

kaah(carryanopencontainerwithcontents)

lé(carryaflexibleobject)

TypesofvariationSounds:EachlanguageusesaparticularsubsetofthesoundsintheInternationalPhoneticAlphabet,whichrepresentsallthesoundsusedinallhumanlanguages.There’softenoverlap(ex:“m”,“p”areusedinmanylanguages),butlanguagesalsomaymakeuseofthelesscommonsounds.

lesscommonEnglishsounds:“th”[T], “th”[D] lesscommonNavajosounds:“whisperedl”,“nasalizeda”,…

Typesofvariation