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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
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
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
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
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.)
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
HowarethedifferentSubjectandVerbordersdistributedaroundtheworld?
Let’slookatsyntax…
Typesofvariation
WhatvaluedoesEnglishhave?
WhataboutFijian?
WhataboutSpanish?
Let’slookatsyntax…
Typesofvariation
Thinkingaboutsyntacticvariation
Similarities&differences:Parameters
Chomsky:Differentcombinationsofdifferentbasicelements(parameters)wouldyieldtheobservablelanguages(similartothewaydifferentcombinationsofdifferentbasicelementsinchemistryyieldmanydifferent-seemingsubstances).
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.
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.
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
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
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
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
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
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
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
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
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)
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
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
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
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
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
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
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
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.
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!
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.
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…
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]
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