版權(quán)說明:本文檔由用戶提供并上傳,收益歸屬內(nèi)容提供方,若內(nèi)容存在侵權(quán),請進(jìn)行舉報或認(rèn)領(lǐng)
文檔簡介
BISBulletin
No84
Artificialintelligenceincentralbanking
DouglasAraujo,SebastianDoerr,LeonardoGambacortaandBrunoTissot
23January2024
BISBulletinsarewrittenbystaffmembersoftheBankforInternationalSettlements,andfromtimetotimebyothereconomists,andarepublishedbytheBank.Thepapersareonsubjectsoftopicalinterestandaretechnicalincharacter.TheviewsexpressedinthemarethoseoftheirauthorsandnotnecessarilytheviewsoftheBIS.TheauthorsaregratefultoBryanHardyandGaloNu?oforcomments,IlariaMatteiandKrzysztofZdanowiczforexcellentresearchassistance,andtoLouisaWagnerforadministrativesupport.
TheeditoroftheBISBulletinseriesisHyunSongShin.
ThispublicationisavailableontheBISwebsite
()
.
?BankforInternationalSettlements2024.Allrightsreserved.Briefexcerptsmaybereproducedortranslatedprovidedthesourceisstated.
ISSN:2708-0420(online)
ISBN:978-92-9259-738-2(online)
DouglasAraujo
Douglas.Araujo@
SebastianDoerr
Sebastian.Doerr@
LeonardoGambacorta
Leonardo.Gambacorta@
BrunoTissot
Bruno.Tissot@
Artificialintelligenceincentralbanking
Keytakeaways
.Centralbankshavebeenearlyadoptersofmachinelearningtechniquesforstatistics,macroanalysis,paymentsystemsoversightandsupervision,withconsiderablesuccess.
.Artificialintelligencebringsmanyopportunitiesinsupportofcentralbankmandates,butalsochallenges–somegeneralandothersspecifictocentralbanks.
.Centralbankcollaboration,forinstancethroughknowledge-sharingandpoolingofexpertise,holdsgreatpromiseinkeepingcentralbanksatthevanguardofdevelopmentsinartificialintelligence.
Longbeforeartificialintelligence(AI)becameafocalpointofpopularcommentaryandwidespreadfascination,centralbankswereearlyadoptersofmachinelearningmethodstoobtainvaluableinsightsforstatistics,researchandpolicy(Doerretal(2021),Araujoetal(2022,2023)).Thegreatercapabilitiesandperformanceofthenewgenerationofmachinelearningtechniquesopenupfurtheropportunities.Yetharnessingtheserequirescentralbankstobuildupthenecessaryinfrastructureandexpertise.Centralbanksalsoneedtoaddressconcernsaboutdataqualityandprivacyaswellasrisksemanatingfromdependenceonafewproviders.
ThisBulletinfirstprovidesabriefsummaryofconceptsinthemachinelearningandAIspace.Itthendiscussescentralbankusecasesinfourareas:(i)informationcollectionandthecompilationofofficialstatistics;(ii)macroeconomicandfinancialanalysistosupportmonetarypolicy;(iii)oversightofpaymentsystems;and(iv)supervisionandfinancialstability.TheBulletinalsosummarisesthelessonslearnedandtheopportunitiesandchallengesarisingfromtheuseofmachinelearningandAI.Itconcludesbydiscussinghowcentralbankcooperationcanplayakeyrolegoingforward.
OverviewofmachinelearningmethodsandAI
Broadlyspeaking,machinelearningcomprisesthesetoftechniquesdesignedtoextractinformationfromdata,especiallywithaviewtomakingpredictions.Machinelearningcanbeseenasanoutgrowthoftraditionalstatisticalandeconometrictechniques,althoughitdoesnotrelyonapre-specifiedmodeloronstatisticalassumptionssuchaslinearityornormality.Theprocessoffittingamachinelearningmodeltodataiscalledtraining.Thecriterionforsuccessfultrainingistheabilitytopredictoutcomesonpreviouslyunseen(“out-of-sample”)data,irrespectiveofhowthemodelspredictthem.Thissectiondescribessomeofthemostcommontechniquesusedincentralbanks,basedontheregularstocktakingexercisesorganisedinthecentralbankingcommunityundertheumbrellaoftheBISIrvingFisherCommitteeonCentralBankStatistics(IFC).
Tree-basedmethodsareflexiblemachinelearningalgorithmsthatcantackleawiderangeoftasks.Decisiontreesgroupindividualdatapointsbysequentiallypartitioningdataintofinercategoriesaccordingtospecificcharacteristicsofinterest.Forexample,atreemayfirstsorthouses(theinputdata)intothosewithmorethanthreeroomsandthosewithatmostthree,andthenpartitionhousesineachofthese
BISBulletin1
subgroupsintothosebuiltbefore1990andthosebuiltafter,andsoon.Theresultingfinerpartitioningofhousescanthenbecomparedwithaparticulardimensionofinterest(theoutput)toseehowwellthepartitioningmatchesanattributeofinterest.Forinstance,capturinghowhousepricesvaryacrossthefinerpartitioningwouldbeawaytogroupsimilarhousesintermsoftheirprice.
Randomforestscombineseveraltreestrainedondifferentslicesofthesamedatatoimprovepredictionoutofsamplewhileguardingagainsttheriskofoverfittingthetrainingdatasample.Randomforestsandrelatedmodelscanbeseenasamoreflexibleformofregressionanalysis,astheypredictoutputfromtheexplanatoryvariablesofinterest(AtheyandImbens(2021)).Inaddition,tree-basedmethodscanserveasanexploratorytooltogleanpatternsinthedatawithoutimposingamodelstructure.Forinstance,theycanclassifydatapointsintosimilarcategories.Inthesamespirit,forestscanbedeployedinidentifyingoutliersbymeansofisolationforests,amethodthatsinglesoutthedatapointsthatcanbeisolatedfromothers.
Neuralnetworksareperhapsthemostimportanttechniqueinmachinelearning,withwidespreadusesevenforthelatestgenerationofmodels.Theirmainbuildingblocksareartificialneurons,whichtakemultipleinputvaluesandtransformtheminanon-linearwaytooutputasinglenumber–likelogisticregressions.Theartificialneuronsareorganisedtoformasequenceoflayersthatcanbestacked:theneuronsofthefirstlayertaketheinputdataandoutputanactivationvalue.Subsequentlayersthentaketheoutputofthepreviouslayerasinput,transformitandoutputanothervalue,andsoforth.Thisway,similartoneuronsinthehumanbrain,anartificialneuron’soutputvalueisakintoanelectricalimpulsetransmittedtootherneurons.Anetwork’sdepthreferstothenumberoflayers.Eachneuron’sconstantandweightsattachedtotheoutputofpreviouslayers’neuronsarecollectivelycalledparameters;theydeterminethestrengthofconnectionsacrossneuronsandlayers.Theseparametersareimprovediterativelyduringtraining.Deepernetworkswithmoreparametersrequiremoretrainingdatabutpredictmoreaccurately.NeuralnetworksarebehindfacerecognitionorvoiceassistantsinmobilephonesandunderliethemostsignificantrecentinnovationsinAI.
Transformers,unveiledin2017,drasticallyimprovedtheperformanceofneuralnetworksinnaturallanguageprocessing(NLP)andenabledtheriseoflargelanguagemodels(LLMs).Ratherthanjustrelatingawordtothosenearit,transformersattempttocapturetherelationshipbetweenthedifferentcomponentsofatextsequence,eveniftheyarefarapartinthesentence.Thisallowsthemodeltobetterunderstandthecontextandhencedifferentmeaningsawordcanhave.Forexample,themeaningoftheword“bank”differswhenitappearsinthesentence“I’llswimacrosstherivertogettotheotherbank”versus“Icrossedthestreettogotothebank”.TransformersunlockedusecasesofNLPthatrequiredealingwithlongstreamsoftextandgaverisetothemostrecentadvancesinLLMs,suchasChatGPT.
LLMsunderlietherapidriseofgenerativeAI(“genAI”),whichgeneratescontentbasedonsuitableprompts,andcanperformtasksbeyondlanguagerecognition.LLMsareneuralnetworksthataretrainedtopredictthenextwordinagivensequenceoftext.Toperformthistask,LLMslearntoabsorballthewrittenknowledgeonwhichtheyweretrained.Asaresult,theirpredictionisusuallyaccurateevenfortextsthatrequirenuanceorfieldknowledge.LLMscanbefine-tunedforspecifictaskswithspecialiseddata.Forexample,ChatGPTisbasedonanLLMrefinedwithhumanfeedbacktogeneratemoreusefulresponses.KeycharacteristicsofgenAIarethatitcanbeusednotjustbyasmallsetofspecialistsbutbyvirtuallyeverybodyandthatitcaneasilyextractinsightsfromunstructureddata.
MachinelearningandAIincentralbanks:usecases
WhatarethecurrentusecasesofmachinelearningandAIincentralbanks?Theycanbestbeorganisedbyscope:(i)informationcollectionandstatisticalcompilation;(ii)macroeconomicandfinancialanalysistosupportmonetarypolicy;(iii)oversightofpaymentsystems;and(iv)supervisionandfinancialstability.Thissectionprovidesrelevantexamplesineacharea.Moreinformationontheselectedexamples,aswellasabroaderlistofusecases,canbefoundintheannex.
2BISBulletin
Informationcollection
Ensuringtheavailabilityofhigh-qualitydataasinputsforeconomicanalysisandforstatisticscompilationandproductionisamajorchallengeforcentralbanks.Issuesincludedatacleaning,sampling,representativenessandmatchingnewdatatoexistingsources.Thesteadilyincreasingvolumeandcomplexityofdatanecessitateefficientandflexibledataqualitytools.
Toprovidehigh-qualitymicrodata,centralbanksareprogressivelyusingmachinelearningtechniques.Isolationforestsareparticularlysuitableforthelargeandgranulardatasetstypicalofcentralbanks,owingtotheirscalabilityandabilitytoidentifyoutliersregardlessoftheshapeofthedata’sdistribution.Therearealsobenefitstoatwo-stepapproach:initially,amodelautonomouslyidentifiespotentialoutliers,whicharethenreviewedbyexpertswhoprovidefeedbacktorefinethealgorithm.Thisapproachbalancesthevalueofdomainexpertisewiththecostsofhumaninputs.Byanalysingdifferentmethodstoexplaintheoutlierclassification,thisapproachcanovercometheissueof“blackbox”machinelearningmodelslacking“explainability”,whichisdiscussedbelow.Moreover,explainablemachinelearningmethodsprovideexpertswithguidanceonwhichdatapointswarrantmanualverification.
Macroeconomicandfinancialanalysistosupportmonetarypolicy
Centralbanksrelyextensivelyonmacroeconomicandfinancialanalysistosupportmonetarypolicy.Inacomplexenvironment,asignificantchallengeistoefficientlyextractinformationfromawidearrayoftraditionalandnon-traditionaldatasources.Machinelearningoffersvaluabletoolsinthisarea.
Neuralnetworkscan,forexample,breakdownservicesinflationintodifferentcomponents,revealinghowmuchinflationisduetopastpriceincreases,inflationexpectations,theoutputgaporinternationalprices.Suchmodelscanprocessmoreinputvariablesthantraditionaleconometricones,allowingcentralbankstousegranulardatasetsinsteadofmoreaggregatedata.Anotheradvantageisneuralnetworks’abilitytoreflectcomplexnon-linearitiesinthedata,whichcanhelpmodellerstobettercapturenon-linearities,fromthezerolowerboundtounequalassetholdingsandshiftsininflationdynamics.
Otherusecasesareobtainingreal-timeestimates(nowcasts)ofinflationexpectationsorsummarisingeconomicconditionsovertime.Forexample,randomforestmodelscanidentifysocialmediapoststhatarerelatedtopricesandthenfeedthemintoanotherrandomforestmodelthatclassifieseachpostasreflectinginflation,deflationorotherexpectations.Thedifferenceinthedailycountsofsocialmediapostsforhigherversuslowerinflationgaugesinflationexpectations.Similarly,socialmediapostscanbeusedtotrackthecredibilityofcentralbankmonetarypolicywiththewiderpublic.
AnotherexampleistheuseofopensourceLLMsfine-tunedwithfinancialnewstosummariseeconomicconditionnarrativesoveralongtimespan.Modelscanprocesseganecdotaltextsfrominterviewswithentrepreneurs,economistsandmarketexpertstoproduceatimeseriesoftheir(positiveornegative)sentimentvalue.ThesentimentindexcanthenbeusedtonowcastGDPorpredictrecessions.
AdaptingLLMstocentralbankingterminologycanbringfurthergains,asshownbythecentralbanklanguagemodels(CB-LM)projectdevelopedattheBIS(Gambacortaetal(2024)).ThisapproachusesthousandsofcentralbankspeechesandresearchpaperscompiledbytheBISCentralBankHubtoadaptwidelyusedopensourcefoundationLLMsissuedbyGoogleandMeta.Thisadditionaltrainingfocusedoncentralbankingtextsincreasedaccuracyfrom50–60%to90%ininterpretingcentralbankterminologyandidioms.IthasalsoimprovedperformanceintaskssuchasclassifyingFederalOpenMarketCommitteepolicystancesandpredictingmarketreactionstomonetarypolicyannouncements.
Oversightofpaymentsystems
Wellfunctioningpaymentsystemsarefundamentaltothestabilityofthefinancialsystem,yetthevastamountoftransactiondata,oftenwithahighlyskeweddistribution,poseschallengesindistinguishinganomaloustransactionsfromregularones.Correctlyidentifyinganomalouspaymentsiscrucialto
BISBulletin3
addressingissuessuchaspotentialbankfailures,cyberattacksorfinancialcrimesinatimelymanner.Moneylaundering,inparticular,underminestheintegrityandsafetyoftheglobalfinancialsystem.
TheBISInnovationHub’sProjectAurorausessyntheticmoneylaunderingdatatocomparefraudulentpaymentidentificationbyvarioustraditionalandmachinelearningmodels(BISIH(2023)).Themodels,whichincludeisolationforestsandneuralnetworks,undergotrainingwithknown(synthetic)moneylaunderingtransactionsandthenpredictthelikelihoodofmoneylaunderinginunseendata.Machinelearningmodelsoutperformtherule-basedmethodsprevalentinmostjurisdictionsortraditionallogisticregressions.Graphneuralnetworks,whichtakepaymentrelationshipsasinput,identifysuspecttransactionnetworksparticularlywell.Thesemodelscanfunctioneffectivelyevenwithdatapoolingthatsafeguardsconfidentiality,suggestingthatcooperationtojointlyanalysemultipledatabasescanbesecureandbeneficial.Thisillustratesthepotentialformorecooperationbetweenauthorities.
Anotherapproachforoverseeingpaymenttransactionsinvolvestheuseofunsupervisedlearningmethodstoautomaticallysingleouttransactionsthatareworthcloserinspection.Forexample,auto-encodermodels,neuralnetworkswhereboththeinputandoutputlayerslookatthesamedata,distinguishtypicalfromanomalouspaymentsandcandetectnon-lineardynamicssuchasbankruns.Insimulations,thesemodelseffectivelyidentifiedpatternsofsignificantbankdepositwithdrawalsoverseveraldays.Auto-encodersalsoidentifiedarangeofreal-lifeanomaliesinpaymentsystems,includingoperationaldisruptionsamongimportantdomesticbanks.
Supervisionandfinancialstability
Supervisorsanalyseabroadrangeofdatasourcestoefficientlyoverseefinancialinstitutions.Thesesourcesincludetextdocumentssuchasnewsarticles,internalbankdocumentsorsupervisoryassessments.Siftingthroughthiswealthofinformationtoextractrelevantinsightscanbetime-consuming,andwiththeeverincreasingvolumeofdataitbecomesnearlyinsurmountable.Moreover,analysesrelatedtoclimateandcyberriskshaveemergedassupervisorypriorities,buttheylackthecomprehensivedatainfrastructurealreadyinplaceformore“traditional”risks.
Oneavenuepursuedbymanycentralbanksistoconsolidatethewealthofinformationinoneplaceandhelpsupervisoryanalysisofunstructureddata.Forexample,modelsfine-tunedonsupervisorycontenttogetherwithNLPtechniquescanclassifypublicandsupervisorydocuments,undertakesentimentanalysesandidentifytrendingtopics,asdoneintheECB’splatformAthena.Trainingmodelsonalargebodyoftextcombinedwithanexpert-definedlexiconofrelevantwordsandclausescanalsohelpautomatethediscoveryofexcerptscontaininginformationondifferentrisks.Suchmodels,forexampletheFederalReserve’sLEX,facilitatesupervisors’accesstorelevantinformationscatteredacrossmillionsofdocumentsandreducethetimespentreviewingdocumentsubmissions.Classificationmodels,leveragingtree-basedtechniquesorneuralnetworks,canalsohelpidentifyindividualborrowersforwhichlendersunderestimatepotentialcreditlosses,ataskforwhichtheCentralBankofBrazilcreatedADAM.Neuralnetworksthatincludethefirstlayersofatrainednetworkcanimproveidentificationofborrowerswithhighexpectedlosses.Supervisorscanthenrequirefinancialinstitutionstoprovisionexposuresthatarenotsufficientlycovered.
Balancingopportunitiesandchallenges
TheaboveexamplesillustratetheopportunitiesformachinelearningandAItotackleproblemsattheheartofcentralbankmandates.Yettherearealsonewchallenges,somemoregeneralandothersmorespecifictocentralbanks.
Ageneralchallengeistheconflictbetweenaccuracyand“interpretability/explainability”.Sophisticatedmachinelearningmodelscanbecomenearperfectatprediction.Butsincemanyvariablesinteractincomplexandnon-linearways,itcanbedifficulttointerprethowimportantdifferentinputvariablesarefortheresult.Goodpredictioncanhencecomeatthecostofacceptingthattheunderlying
4BISBulletin
modelisa“blackbox”.Thiscan,forexample,makeitchallengingtoassessdiscriminatorybiasesinalgorithms,especiallywhenthesehavebeentrainedonbiaseddatasets.Limitedexplainabilityfurthermeansthatitisdifficulttoexplainmodelbehaviourinhumanterms;forexample,whyinflationispredictedtogouporwhyamortgageapplicationwasrejected.ForgenAImodels,theissuegoesevenfurther,astheysufferfromthe“hallucinationproblem”.Thesemodelsmightpresentafactuallyincorrectanswerasifitwerecorrect.ThehallucinationproblemimpliesthatLLMsneedhumansupervision,especiallyintasksrequiringlogicalreasoning(Perez-CruzandShin(2024)).
Forcentralbanks,theuseofunstructureddatacanoffervaluableinformationthatcanhelpsolvepreviouslyintractableproblems.Manuallyconvertingunstructureddata,inparticulartext,intostructuredformistime-consuming,pronetohumanerrorandinfeasibleatalargerscale.Astheaboveexamplesmakeclear,LLMscanhelpcentralbanksanalyseawiderangeoftextualdata,suchassocialmediaactivity,financialnewsandcentralbanks’ownreports(confidentialorpublic).
Theuseofunstructuredandoftenpersonaldata,however,posesnewchallengesintermsoflegalframeworksanddataprivacy.Traditionally,mostdatawerecollectedandhostedwithinpublicinstitutionswithclearlydefinedaccessrightsandsounddataqualityassuranceprocesses.Butnow,largeswathesofdataarecreatedbyindividualsandfirmsandresidewiththeprivatesector,sometimeswithlittledocumentationpubliclyavailable.Trainingorfine-tuningLLMsmayrequiresignificantamountsofdata,whichcanbeobtained,forexamplebywebscrapinginformationfrommarketplatformsorsocialmedia,butforwhichlegalframeworksoftenremainunclearabouthowandforwhatpurposestheycanbeused.Theavailabilityofunstructuredpersonaldataalsoraisesconcernsaboutethicsandprivacy.Citizenshavearighttoprivacyandmightfeeluncomfortablewithcentralbanksscrutinisingtheirdata.Whileprivacy-enhancingtechnologiesaresteadilyimproving,theyarenotyetadefaultinAImodels.
GreateruseofAIcouldalsohaveprofoundimplicationsforcentralbanks’investmentsininformationtechnology(IT)andhumancapital.Providingadequatecomputingpowerandsoftware,aswellastrainingexistingstaff,involveshighupfrontcosts.Meanwhile,hiringnewstafforretainingexistingstaffwiththerightmixofeconomicunderstandingandprogrammingskillscanbechallenging:thereishighdemandforthisresource,andpublicinstitutionsoftencannotmatchprivatesectorsalariesfortopdatascientists.
However,theseinvestmentscould,overtime,yieldincreasedproductivity.TheaboveexamplessuggestthattheuseofmachinelearningandAIcanmarkedlyraisestaffproductivity–inparticularinsometime-intensivetasksthatrequirecognitivework,suchassummarisingandextractinginformationfromtext(Brynjolfssonetal(2023),NoyandZhang(2023)).Forexample,AIsystemscouldactas“co-pilots”tohumansupervisoryteamsbylearningfromacombinationofregulatorydata,priorsupervisoryactionsandbroadermarketdevelopments.AIcouldalsoimproveanalysisbyfreeingupeconomists’timeforinterpretingdataratherthancollectingandcleaningit.YetAIwillnotmakehumansobsolete.Incorporatingexpertfeedbackcanimprovemodelsandmitigatethehallucinationproblem.Thebusinessexpertiseofstaffhelpstoidentifywheremodelsaddthemostvalueaswellashowtoadaptthemtocentralbank-specifictasks.
Finally,theriseofLLMsandgenerativeAIhasrenewedconcernsaboutdependenceonafewexternalproviders.Largeeconomiesofscalemeanthatthemostpowerfulfoundationmodelsareprovidedbyjustafewlargetechnologyfirms.Beyondthegeneralrisksthatmarketconcentrationposestoinnovationandeconomicdynamism,thishighconcentrationofresourcescouldcreatesignificantfinancialstability,operationalandreputationalrisks.Forexample,greaterrelianceonLLMsandgenAIbyjustafewcompaniesmakesthefinancialsystemsusceptibletospilloversfromITfailuresorcyberattacksontheseproviders.Outagesamongproviderscouldalsoleadtooperationalrisksforcentralbanksandhaverepercussionsfortheirabilitytofulfiltheirmandates.Theriskofoperationalproblemsleadingtoreputationalcostsloomslargeascentralbanks’greatestassetisthepublic’strust(Doerretal(2022)).Atthesametime,ifmanyinstitutionsadoptthesamefewbestinclassalgorithms,theirbehaviourduringstressepisodesmightlookincreasinglyalikeandleadtoundesirablephenomenasuchasliquidityhoarding,interbankrunsandfiresales(DanielsonandUthemann(2023)).
BISBulletin5
Theselessonsunderscorethebenefitsofcooperationamongcentralbanksandotherpublicauthorities.Knowledge-sharingandthepoolingofexpertisearewellestablishedinthecentralbankingcommunity,andcentralbanks’publicpolicymandategivesconsiderablescopeforcooperation,aswellastoestablishacommunityofpracticeformachinelearningandAI.CentralbankcollaborationandthesharingofexperiencescouldalsohelpidentifyareasinwhichAIaddsthemostvalueandhowtoleveragesynergies.Datastandardscouldfacilitatetheautomatedcollectionofrelevantdatafromvariousofficialsources,therebyenhancingthetrainingandperformanceofmachinelearningmodelsthatusemacroeconomicdata(Araujo(2023)).Additionally,thesharingofcodeorpre-trainedmodelsholdmuchpromise.
Centralbankingisparticularlywellsuitedfortheapplicationofmachinelearningtechniquesgiventheavailabilityofstructuredandunstructureddataaswellastheneedforrigorousanalysisinsupportofpolicy.Thesynergiesbetweenmachinelearningandcorecentralbankingdisciplinessuchaseconomics,statisticsandeconometricsarelikelytoplacecentralbanksatthevanguardofadvancesinAI.
References
Araujo,DKG(2023):“gingado:amachinelearninglibraryfocusedoneconomicsandfinance”,BISWorkingPapers,no1122.
Araujo,DKG,GBruno,JMarcucci,RSchmidtandBTissot(2022):“Machinelearningapplicationsincentralbanking:anoverview”,IFCBulletin,no57.
———(2023):“Datascienceincentralbanking:applicationsandtools”,IFCBulletin,no59.
Athey,SandGImbens(2021):“Machinelearningmethodsthateconomistsshouldknowabout”,AnnualReviewofEconomics,no11,pp685–725.
BISInnovationHub(BISIH)(2023):ProjectAurora:thepowerofdata,technologyandcollaborationtocombatmoneylaunderingacrossinstitutionsandborders,May.
Brynjolfsson,E,DLiandLRaymond(2023):“GenerativeAIatwork”,NBERWorkingPapers,no31161.
Danielson,JandAUthemann(2023):“Ontheuseofartificialintelligenceinfinancialregulationsandtheimpactonfinancialstability”,mimeo.
Doerr,S,LGambacortaandJSerena(2021):“Bigdataandmachinelearningincentralbanking”,BISWorkingPapers,no930.
Doerr,S,LGambacorta,TLeach,BLegrosa
溫馨提示
- 1. 本站所有資源如無特殊說明,都需要本地電腦安裝OFFICE2007和PDF閱讀器。圖紙軟件為CAD,CAXA,PROE,UG,SolidWorks等.壓縮文件請下載最新的WinRAR軟件解壓。
- 2. 本站的文檔不包含任何第三方提供的附件圖紙等,如果需要附件,請聯(lián)系上傳者。文件的所有權(quán)益歸上傳用戶所有。
- 3. 本站RAR壓縮包中若帶圖紙,網(wǎng)頁內(nèi)容里面會有圖紙預(yù)覽,若沒有圖紙預(yù)覽就沒有圖紙。
- 4. 未經(jīng)權(quán)益所有人同意不得將文件中的內(nèi)容挪作商業(yè)或盈利用途。
- 5. 人人文庫網(wǎng)僅提供信息存儲空間,僅對用戶上傳內(nèi)容的表現(xiàn)方式做保護(hù)處理,對用戶上傳分享的文檔內(nèi)容本身不做任何修改或編輯,并不能對任何下載內(nèi)容負(fù)責(zé)。
- 6. 下載文件中如有侵權(quán)或不適當(dāng)內(nèi)容,請與我們聯(lián)系,我們立即糾正。
- 7. 本站不保證下載資源的準(zhǔn)確性、安全性和完整性, 同時也不承擔(dān)用戶因使用這些下載資源對自己和他人造成任何形式的傷害或損失。
最新文檔
- 竹子主題課程設(shè)計(jì)模板
- 職業(yè)溝通-評價課程設(shè)計(jì)
- 《圍術(shù)期的容量治療》課件
- 瞬變電磁法課程設(shè)計(jì)
- 2024中級(四)汽車修理工理論學(xué)問試題
- 簡單電路課程設(shè)計(jì)
- 網(wǎng)絡(luò)流量監(jiān)測課程設(shè)計(jì)
- 舞蹈早上好課程設(shè)計(jì)
- 互聯(lián)網(wǎng)服務(wù)行業(yè)營業(yè)員工作總結(jié)
- 同心樹共筑和諧初一班主任第一學(xué)期工作總結(jié)
- DB23T 1727-2016 地理標(biāo)志產(chǎn)品 克東天然蘇打水
- 水電站施工合同水電站施工合同(2024版)
- 渭南市白水縣2021-2022學(xué)年七年級上學(xué)期期末考試數(shù)學(xué)試卷【帶答案】
- 2024時事政治必考試題庫附答案(滿分必刷)
- DZ∕T 0289-2015 區(qū)域生態(tài)地球化學(xué)評價規(guī)范(正式版)
- 公司年會小品《老同學(xué)顯擺大會》臺詞劇本手稿
- 護(hù)士條例課件
- 工程造價畢業(yè)設(shè)計(jì)總結(jié)報告
- 結(jié)腸鏡檢查前腸道準(zhǔn)備
- 2023-2024學(xué)年統(tǒng)編版高中語文選擇性必修中冊《屈原列傳》檢測卷(含答案)
- 創(chuàng)業(yè)基礎(chǔ)知識競賽題庫及答案
評論
0/150
提交評論