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1、This article appeared in a journal published by Elsevier. The attached copy is furnished to the author for internal non-commercial research and education use, including for instruction at the authors institution and shar
2、ing with colleagues.Other uses, including reproduction and distribution, or selling or licensing copies, or posting to personal, institutional or third party websites are prohibited.In most cases authors are permitted to
3、 post their version of the article (e.g. in Word or Tex form) to their personal website or institutional repository. Authors requiring further information regarding Elsevier’s archiving and manuscript policies are encour
4、aged to visit:http://www.elsevier.com/authorsrightsAuthor's personal copyF.Congetal./JournalofNeuroscienceMethods223 (2014) 74–84 75fMRIdataincludetheblockdesignandtheevent-relateddesign(Panetal.,2011).Fortheblockdes
5、ign,thecontrastoffMRIdatabetweenthestimulusonsetandthestimulusoffsetisanalyzed.Fortheevent-relatedone,thedesignmatrixcanbeusedforregressionduringwhichthetemporalcourseofavoxelandthecorrespondingspatialmaparelearned.Witht
6、hedevelopmentoffMRIresearch,somestudiesevenreportedfMRIdataobtainedduringarealisticexperiencewherethestimulusisnaturalistic,continuousandlong(Allurietal.,2012;Hassonetal.,2004;HaynesandRees,2006;Kauppietal.,2010;Kayetal.
7、,2008;SpiersandMaguire,2007).Suchnaturalisticbraindatacanprovidemuchricherbrainresponsesforresearchandittendstobedifficulttodirectlyobtaintheprecisecontrastordesignmatrixaccordingtotheexperimentaldesign.Inordertoprocessa
8、ndanalyzesuchnaturalisticbraindata,theinter-subjectcorrelation(ISC)(Hassonetal.,2004)hasbeenwidelyused.ISCisbasedonthecorrelationbetweentwotemporalcoursesoftwoparticipantsgiventhesamespatiallocation,i.e.,thevoxelwiththes
9、amecoordinates.Recently,basedonacousticalfeatureextractionalgorithmsusedinmusicinformationretrieval,musicalfeaturesofthemusicstimulushavebeenextractedandcorrelatedtothetemporalcourseofeachvoxelofthefMRIdata(Allurietal.,2
10、012).DuetothelargeamountofvoxelsinfMRIdata,thenum-berofmultiplecomparisonsinsuchcorrelationanalysesislargeaswell.Therefore,somestatisticalmethodsaretypicallyusedtoavoidthefalsealarm.Onestraightforwardmethodistoreducethen
11、umberoftimesofcorrelations.Forexample,whenindependentcomponentanalysis(ICA)isappliedtodecomposefMRI(McKeownetal.,1998),thenumberofICAcomponents(usuallylessthanhundreds)ismuchsmallerthanthenumberofvoxels(hundredsofthousan
12、ds).Thedatadrivendataprocessingmethods,likeICA,havebeenusedtoprocessnaturalisticbraindata(Malinenetal.,2007;Ylipaavalniemietal.,2009)andthesimilaritybetweenthetemporalcoursesofthestimulusandthetemporalcoursesofICAcompone
13、nts(i.e.,spatialmaps)wasexamined.We findthatsomekeyissuesinapplyingICAtodecomposenaturalisticbraindatahavenotbeenwelladdressedyet.Thisstudyisdevotedtoanalyzingeverystepfortheapplicationofthisadvancedmethod.ForICA,theFas
14、tICAalgorithm(Hyvärinen,1999)wasused.Since1998(McKeownetal.,1998)ICAhasbeenextensivelyusedforthefMRIdataprocessing.Fordifferentdefinitionsofsamplesandvariablesinthelineartransformmodel,theapplicationofICAcanbedivide
15、dintotemporalICAandspatialICA(McKeownetal.,1998;Erhardtetal.,2010;Calhounetal.,2001;Huetal.,2005;Leeetal.,2011).Intheformer,anindependentcomponentisatem-poralcourse.Forthelatter,anindependentcomponentisavoxelseries,which
16、canbeassembledintoaspatialmapoffMRI.GiventhetypicaldimensionsoffMRIdatasets,thespatialICAisusuallypre-ferredbothfortheplausibilityoftheunderlyingneurophysiologicalmodelandforcomputationalrequirements.Hence,thespatialICAi
17、schosenforthefMRIdataanalysisinthisstudy.Hereinafter,whenICAismentioned,itisreferredtospatialICA.ICAcanbefurtherdividedintoindividualICAforanindi-vidualdataset(e.g.,includingoneparticipant’sdata)andgroupICAfortheconcaten
18、ateddataset(e.g.,includingmultiplepar-ticipants’data)(Calhounetal.,2009).GroupICAcanbeevencategorizedasthetemporalconcatenationapproach(e.g.,multi-pleparticipants’dataareconcatenatedinthetimedomain)andthespatialone(e.g.,
19、multipleparticipants’dataareconcatenatedinthespatialdomain)(Calhounetal.,2009).Thetemporalandspatialapproachesallowexaminingindividualtemporalcoursesandindividualspatialmaps,respectively,andtheyprovidecom-monspatialmapsa
20、ndcommontemporalcoursesovermultipleparticipants,respectively.Actually,groupICArequiresadditionalassumptionsbesidesthoseneededbyindividualICA(Congetal.,2013).ItisunknownwhetherfMRIdataduringreal-worldexpe-riencescanmeetth
21、eadditionalassumptions.Consequently,bothindividualICAandgroupICAareappliedtodecomposethefMRIdataheretoexaminewhethersimilarfindingscanbeobtainedbybothmethods.NomatterwhichmeansofICAisapplied,itisverycriti-caltodeterminet
22、henumberofextractedcomponents.Modelorderselection(MOS)hasbeenappliedforthispurpose(Lietal.,2007)andtheinformationtheorybasedMOSalgorithmsareoftenused,forexample,Akaike’sinformationcriterion(AIC)(Akaike,1974),MinimumDista
23、nceLength(MDL)(Rissanen,1978),andKullback–Leiblerinformationcriterion(KIC)(Cavanaugh,1999).ThistypeofMOSalgorithmsassumesthedataareindependentlyandidenticallydistributedandthecollectedbraindatahavetoberesampledtosatisfyt
24、hisassumptionforMOS(Lietal.,2007).Inthisstudy,weexamineanotherrecentlydevelopedalgorithmcalledSORTE(Heetal.,2010)forMOSoffMRIdata.SORTEisveryeffi-cientinthecomputinganddoesnotrequiretheresamplingprocess(Heetal.,2010).Alt
25、houghMOShasbeenextensivelyusedforfMRIdata,therearefewexplicitmethodstovalidatewhethertheesti-mationofMOSisaccurateornotfortherealfMRIdata.Recently,asimulationstudyhasshownthatMOScannotpreciselyestimatethenumberofsourcesi
26、nthelineartransformmodelwhensignal-noise-ratio(SNR)islow(e.g.,lessthan0dB),andthatwhenSNRislowSORTEandMDLtendtooverestimateandunderestimatethetruenumberofsources,respectively(Congetal.,2012).Inthisstudy,SORTE,AIC,MDLandK
27、ICareperformedontheconvention-allypreprocessedfMRIdataandfurtherpreprocessed(byadigitalfilter)fMRIdatatoexaminetheirperformanceinestimatingthenumberofsourcesinfMRIdataofindividualparticipants.ForindividualICA,clusteringt
28、heextractedICAcomponentsoffMRIdataisusuallyappliedtofindthecommoncomponentsacrossdifferentparticipants,andthesimilaritymatrixbasedhierarchicalclusteringhasbeenoftenused(Calhounetal.,2009;Espositoetal.,2005).ThenumberofIC
29、Acomponents(n)isalwaysmuchsmallerthanthenumberofvoxels(p).InfMRIdata,pcanbehundredsofthousands.Fortheveryhigh-dimensionaldata,dimensionreduc-tiontendstobeperformedbeforemachinelearning,likeclusteringandclassification.Int
30、hisstudy,arecentlydevelopeddimensionreductionmethodcalleddiffusionmap(DM)(CoifmanandLafon,2006)isappliedtoreducethedimensionofthedatatobeclustered(i.e.,thenICAcomponentshere)frompto2,andthen,thedegreeofclosenessofthenICA
31、componentscanbevisualizedbythescatterplotofthetwodimensionaldata.Furthermore,thespectralclus-tering(Nadleretal.,2006)isusedtofindthecommoncomponentsacrossmultipleparticipantsinthisstudy.ForgroupICA,thetemporalconcatenati
32、onseemstooutperformthespatialconcatenation(Calhounetal.,2009).Indeed,thiscon-clusionisbasedongroupICAforfMRIdatamostlyintheblockorevent-relateddesigns.ItisunknownwhethertheconclusionisvalidforthefMRIdataduringreal-worlde
33、xperiences.Therefore,bothapproachesaretriedtodecomposethefMRIhere.Inordertoaddresstheissuesmentionedabove,fMRIdataofelevenmusiciansinafree-listeningexperiment(Allurietal.,2012)areusedinthisstudy.2.Method2.1.Datadescripti
34、on2.1.1.fMRIElevenhealthyparticipants(withnoneurological,hearingorpsychologicalproblems)withformalmusicaltrainingparticipatedinthestudy(meanage:23.2±3.7SD;5females).TheparticipantswerescannedwithfMRIwhilelisteningto
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