




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),請進行舉報或認領(lǐng)
文檔簡介
1
arXiv:2108.02497v3[cs.LG]9Feb2023
Howtoavoidmachinelearningpitfalls:aguideforacademicresearchers
MichaelA.Lones*
Abstract
Thisdocumentisaconciseoutlineofsomeofthecommonmistakesthatoccurwhen
usingmachinelearning,andwhatcanbedonetoavoidthem.Whilstitshouldbeaccessibletoanyonewithabasicunderstandingofmachinelearningtechniques,itwasoriginallywrittenforresearchstudents,andfocusesonissuesthatareofpartic-ularconcernwithinacademicresearch,suchastheneedtodorigorouscomparisonsandreachvalidconclusions.Itcovers?vestagesofthemachinelearningprocess:whattodobeforemodelbuilding,howtoreliablybuildmodels,howtorobustlyevaluatemodels,howtocomparemodelsfairly,andhowtoreportresults.
1Introduction
It’seasytomakemistakeswhenapplyingmachinelearning(ML),andthesemistakescanresultinMLmodelsthatfailtoworkasexpectedwhenappliedtodatanotseenduringtrainingandtesting[
Liaoetal.
,
2021
].Thisisaproblemforpractitioners,sinceitleadstothefailureofMLprojects.However,itisalsoaproblemforsociety,sinceiterodestrustinthe?ndingsandproductsofML[
Gibney
,
2022
].Thisguideaimstohelpnewcomersavoidsomeofthesemistakes.It’swrittenbyanacademic,andfocusesonlessonslearntwhilstdoingMLresearchinacademia.Whilstprimarilyaimedatstudentsandscienti?cresearchers,itshouldbeaccessibletoanyonegettingstartedinML,andonlyassumesabasicknowledgeofMLtechniques.However,unlikesimilarguidesaimedatamoregeneralaudience,itincludestopicsthatareofaparticularconcerntoacademia,suchastheneedtorigorouslyevaluateandcomparemodelsinordertogetworkpublished.Tomakeitmorereadable,theguidanceiswritteninformally,inaDosandDon’tsstyle.It’snotintendedtobeexhaustive,andreferences(withpublicly-accessibleURLswhereavailable)areprovidedforfurtherreading.Sinceitdoesn’tcoverissuesspeci?ctoparticularacademicsubjects,it’srecommendedyoualsoconsultsubject-speci?cguidancewhereavailable(e.g.
Stevensetal.
[
2020]
formedicine).Feedbackiswelcome,anditisexpectedthatthisdocumentwillevolveovertime.Forthisreason,ifyouciteit,pleaseincludethearXivversionnumber(currentlyv3).
*SchoolofMathematicalandComputerSciences,Heriot-WattUniversity,Edinburgh,Scotland,UK,Email:
m.lones@hw.ac.uk
,Web:
http://www.macs.hw.ac.uk/~ml355
.
2
Contents
1Introduction
1
2Beforeyoustarttobuildmodels
3
2.1Dotakethetimetounderstandyourdata
3
2.2Don’tlookatallyourdata
3
2.3Domakesureyouhaveenoughdata
3
2.4Dotalktodomainexperts
4
2.5Dosurveytheliterature
4
2.6Dothinkabouthowyourmodelwillbedeployed
5
3Howtoreliablybuildmodels
5
3.1Don’tallowtestdatatoleakintothetrainingprocess
5
3.2Dotryoutarangeofdi?erentmodels
6
3.3Don’tuseinappropriatemodels
7
3.4Dokeepupwithrecentdevelopmentsindeeplearning
8
3.5Don’tassumedeeplearningwillbethebestapproach
8
3.6Dooptimiseyourmodel’shyperparameters
9
3.7Dobecarefulwhereyouoptimisehyperparametersandselectfeatures
9
3.8Doavoidlearningspuriouscorrelations
11
4Howtorobustlyevaluatemodels
11
4.1Douseanappropriatetestset
11
4.2Don’tdodataaugmentationbeforesplittingyourdata
12
4.3Douseavalidationset
12
4.4Doevaluateamodelmultipletimes
12
4.5Dosavesomedatatoevaluateyour?nalmodelinstance
14
4.6Don’tuseaccuracywithimbalanceddatasets
14
4.7Don’tignoretemporaldependenciesintimeseriesdata
15
5Howtocomparemodelsfairly
16
5.1Don’tassumeabiggernumbermeansabettermodel
16
5.2Dousestatisticaltestswhencomparingmodels
16
5.3Docorrectformultiplecomparisons
17
5.4Don’talwaysbelieveresultsfromcommunitybenchmarks
17
5.5Doconsidercombinationsofmodels
17
6Howtoreportyourresults
18
6.1Dobetransparent
18
6.2Doreportperformanceinmultipleways
19
6.3Don’tgeneralisebeyondthedata
19
6.4Dobecarefulwhenreportingstatisticalsigni?cance
19
6.5Dolookatyourmodels
20
7Finalthoughts
20
8Acknowledgements
21
9Changes
21
3
2Beforeyoustarttobuildmodels
It’snormaltowanttorushintotrainingandevaluatingmodels,butit’simportanttotakethetimetothinkaboutthegoalsofaproject,tofullyunderstandthedatathatwillbeusedtosupportthesegoals,toconsideranylimitationsofthedatathatneedtobeaddressed,andtounderstandwhat’salreadybeendoneinyour?eld.Ifyoudon’tdothesethings,thenyoumayendupwithresultsthatarehardtopublish,ormodelsthatarenotappropriatefortheirintendedpurpose.
2.1Dotakethetimetounderstandyourdata
Eventuallyyouwillwanttopublishyourwork.Thisisaloteasiertodoifyourdataisfromareliablesource,hasbeencollectedusingareliablemethodology,andisofgoodquality.Forinstance,ifyouareusingdatacollectedfromaninternetresource,makesureyouknowwhereitcamefrom.Isitdescribedinapaper?Ifso,takealookatthepaper;makesureitwaspublishedsomewherereputable,andcheckwhethertheauthorsmentionanylimitationsofthedata.Donotassumethat,becauseadatasethasbeenusedbyanumberofpapers,itisofgoodquality—sometimesdataisusedjustbecauseitiseasytogetholdof,andsomewidelyuseddatasetsareknowntohavesigni?cantlimitations(see
Paulladaetal.
[
2020
]foradiscussionofthis).Ifyoutrainyourmodelusingbaddata,thenyouwillmostlikelygenerateabadmodel:aprocessknownasgarbageingarbageout.So,alwaysbeginbymakingsureyourdatamakessense.Dosomeexploratorydataanalysis(see
Cox
[
2017
]forsuggestions).Lookformissingorinconsistentrecords.Itismucheasiertodothisnow,beforeyoutrainamodel,ratherthanlater,whenyou’retryingtoexplaintoreviewerswhyyouusedbaddata.
2.2Don’tlookatallyourdata
Asyoulookatdata,itisquitelikelythatyouwillspotpatternsandmakeinsightsthatguideyourmodelling.Thisisanothergoodreasontolookatdata.However,itisimportantthatyoudonotmakeuntestableassumptionsthatwilllaterfeedintoyourmodel.The“untestable”bitisimportanthere;it’s?netomakeassumptions,buttheseshouldonlyfeedintothetrainingofthemodel,notthetesting.So,toensurethisisthecase,youshouldavoidlookingcloselyatanytestdataintheinitialexploratoryanalysisstage.Otherwiseyoumight,consciouslyorunconsciously,makeassumptionsthatlimitthegeneralityofyourmodelinanuntestableway.ThisisathemeIwillreturntoseveraltimes,sincetheleakageofinformationfromthetestsetintothetrainingprocessisacommonreasonwhyMLmodelsfailtogeneralise.See
Don’tallowtestdatatoleakinto
thetrainingprocess
formoreonthis.
2.3Domakesureyouhaveenoughdata
Ifyoudon’thaveenoughdata,thenitmaynotbepossibletotrainamodelthatgener-alises.Workingoutwhetherthisisthecasecanbechallenging,andmaynotbeevidentuntilyoustartbuildingmodels:italldependsonthesignaltonoiseratiointhedataset.
4
Ifthesignalisstrong,thenyoucangetawaywithlessdata;ifit’sweak,thenyouneedmoredata.Ifyoucan’tgetmoredata—andthisisacommonissueinmanyresearch?elds—thenyoucanmakebetteruseofexistingdatabyusingcross-validation(see
Doevaluateamodelmultipletimes
).Youcanalsousedataaugmentationtechniques(e.g.see
Wongetal.
[
2016
]and
ShortenandKhoshgoftaar
[
2019
];fortimeseriesdata,see
IwanaandUchida
[
2021
]),andthesecanbequitee?ectiveforboostingsmalldatasets,though
Don’tdodataaugmentationbeforesplittingyourdata
.Dataaugmentationisalsousefulinsituationswhereyouhavelimiteddataincertainpartsofyourdataset,e.g.inclassi?cationproblemswhereyouhavelesssamplesinsomeclassesthanothers,asituationknownasclassimbalance.See
Haixiangetal.
[
2017
]forareviewofmethodsfordealingwiththis;alsosee
Don’tuseaccuracywithimbalanceddatasets
.Anotheroptionfordealingwithsmalldatasetsistousetransferlearning(see
Dokeepupwith
recentdevelopmentsindeeplearning
).However,ifyouhavelimiteddata,thenit’slikelythatyouwillalsohavetolimitthecomplexityoftheMLmodelsyouuse,sincemodelswithmanyparameters,likedeepneuralnetworks,caneasilyover?tsmalldatasets(see
Don’tassumedeeplearningwillbethebestapproach
).Eitherway,it’simportanttoidentifythisissueearlyon,andcomeupwithasuitablestrategytomitigateit.
2.4Dotalktodomainexperts
Domainexpertscanbeveryvaluable.Theycanhelpyoutounderstandwhichproblemsareusefultosolve,theycanhelpyouchoosethemostappropriatefeaturesetandMLmodeltouse,andtheycanhelpyoupublishtothemostappropriateaudience.Failingtoconsidertheopinionofdomainexpertscanleadtoprojectswhichdon’tsolveusefulproblems,orwhichsolveusefulproblemsininappropriateways.AnexampleofthelatterisusinganopaqueMLmodeltosolveaproblemwherethereisastrongneedtounderstandhowthemodelreachesanoutcome,e.g.inmakingmedicalor?nancialdecisions(see
Rudin
[
2019
]).Atthebeginningofaproject,domainexpertscanhelpyoutounderstandthedata,andpointyoutowardsfeaturesthatarelikelytobepredictive.Attheendofaproject,theycanhelpyoutopublishindomain-speci?cjournals,andhencereachanaudiencethatismostlikelytobene?tfromyourresearch.
2.5Dosurveytheliterature
You’reprobablynotthe?rstpersontothrowMLataparticularproblemdomain,soit’simportanttounderstandwhathasandhasn’tbeendonepreviously.Otherpeoplehavingworkedonthesameproblemisn’tabadthing;academicprogressistypicallyaniterativeprocess,witheachstudyprovidinginformationthatcanguidethenext.Itmaybediscouragingto?ndthatsomeonehasalreadyexploredyourgreatidea,buttheymostlikelyleftplentyofavenuesofinvestigationstillopen,andtheirpreviousworkcanbeusedasjusti?cationforyourwork.Toignorepreviousstudiesistopotentiallymissoutonvaluableinformation.Forexample,someonemayhavetriedyourproposedapproachbeforeandfoundfundamentalreasonswhyitwon’twork(andthereforesavedyouafewyearsoffrustration),ortheymayhavepartiallysolvedtheprobleminawaythatyou
canbuildon.So,it’simportanttodoaliteraturereviewbeforeyoustartwork;leavingittoolatemaymeanthatyouareleftscramblingtoexplainwhyyouarecoveringthesamegroundornotbuildingonexistingknowledgewhenyoucometowriteapaper.
2.6Dothinkabouthowyourmodelwillbedeployed
WhydoyouwanttobuildanMLmodel?Thisisanimportantquestion,andtheanswershouldin?uencetheprocessyouusetodevelopyourmodel.Manyacademicstudiesarejustthat—studies—andnotreallyintendedtoproducemodelsthatwillbeusedintherealworld.Thisisfairenough,sincetheprocessofbuildingandanalysingmodelscanitselfgiveveryusefulinsightsintoaproblem.However,formanyacademicstudies,theeventualgoalistoproduceanMLmodelthatcanbedeployedinarealworldsituation.Ifthisisthecase,thenit’sworththinkingearlyonabouthowitisgoingtobedeployed.Forinstance,ifit’sgoingtobedeployedinaresource-limitedenvironment,suchasasensororarobot,thismayplacelimitationsonthecomplexityofthemodel.Iftherearetimeconstraints,e.g.aclassi?cationofasignalisrequiredwithinmilliseconds,thenthisalsoneedstobetakenintoaccountwhenselectingamodel.Anotherconsiderationishowthemodelisgoingtobetiedintothebroadersoftwaresystemwithinwhichitisdeployed;thisprocedureisoftenfarfromsimple(see
Sculley
etal.
[
2015
]).However,emergingapproachessuchasMLOpsaimtoaddresssomeofthedi?culties;see
Tamburri
[
2020
]forareview,and
Shankaretal.
[
2022
]foradiscussionofcommonchallengeswhenoperationalisingMLmodels.
3Howtoreliablybuildmodels
BuildingmodelsisoneofthemoreenjoyablepartsofML.WithmodernMLframeworks,it’seasytothrowallmannerofapproachesatyourdataandseewhatsticks.However,thiscanleadtoadisorganisedmessofexperimentsthat’shardtojustifyandhardtowriteup.So,it’simportanttoapproachmodelbuildinginanorganisedmanner,makingsureyouusedatacorrectly,andputtingadequateconsiderationintothechoiceofmodels.
3.1Don’tallowtestdatatoleakintothetrainingprocess
It’sessentialtohavedatathatyoucanusetomeasurehowwellyourmodelgeneralises.Acommonproblemisallowinginformationaboutthisdatatoleakintothecon?guration,trainingorselectionofmodels(seeFigure
1
).Whenthishappens,thedatanolongerprovidesareliablemeasureofgenerality,andthisisacommonreasonwhypublishedMLmodelsoftenfailtogeneralisetorealworlddata.Thereareanumberofwaysthatinformationcanleakfromatestset.Someoftheseseemquiteinnocuous.Forinstance,duringdatapreparation,usinginformationaboutthemeansandrangesofvariableswithinthewholedatasettocarryoutvariablescaling—inordertopreventinformationleakage,thiskindofthingshouldonlybedonewiththetrainingdata.Othercommonexamplesofinformationleakagearecarryingoutfeatureselectionbeforepartitioningthedata(see
Dobecarefulwhereyouoptimisehyperparametersandselect
5
Figure1:See
Don’tallowtestdatatoleakintothetrainingprocess
.[left]Howthingsshouldbe,withthetrainingsetusedtotrainthemodel,andthetestsetusedtomeasureitsgenerality.[right]Whenthere’sadataleak,thetestsetcanimplicitlybecomepartofthetrainingprocess,meaningthatitnolongerprovidesarealiablemeasureofgenerality.
features
),usingthesametestdatatoevaluatethegeneralityofmultiplemodels(see
Douseavalidationset
and
Don’talwaysbelieveresultsfromcommunitybenchmarks
),andapplyingdataaugmentationbeforesplittingo?thetestdata(see
Don’tdodata
augmentationbeforesplittingyourdata
).Thebestthingyoucandotopreventtheseissuesistopartitiono?asubsetofyourdatarightatthestartofyourproject,andonlyusethisindependenttestsetoncetomeasurethegeneralityofasinglemodelattheendoftheproject(see
Dosavesomedatatoevaluateyour?nalmodelinstance
).Beparticularlycarefulifyou’reworkingwithtimeseriesdata,sincerandomsplitsofthedatacaneasilycauseleakageandover?tting—see
Don’tignoretemporaldependencies
intimeseriesdata
formoreonthis.Forabroaderdiscussionofdataleakage,see
Kapoor
andNarayanan
[
2022
].
3.2Dotryoutarangeofdi?erentmodels
Generallyspeaking,there’snosuchthingasasinglebestMLmodel.Infact,there’saproofofthis,intheformoftheNoFreeLunchtheorem,whichshowsthatnoMLapproachisanybetterthananyotherwhenconsideredovereverypossibleproblem[
Wolpert
,
2002
].So,yourjobisto?ndtheMLmodelthatworkswellforyourparticularproblem.Thereissomeguidanceonthis.Forexample,youcanconsidertheinductivebiasesofMLmodels;thatis,thekindofrelationshipstheyarecapableofmodelling.Forinstance,linearmodels,suchaslinearregressionandlogisticregression,areagoodchoiceifyouknowtherearenoimportantnon-linearrelationshipsbetweenthefeaturesinyourdata,butabadchoiceotherwise.Goodqualityresearchoncloselyrelatedproblemsmayalsobeabletopointyoutowardsmodelsthatworkparticularlywell.However,alotofthetimeyou’restillleftwithquiteafewchoices,andtheonlywaytoworkoutwhichmodelisbestistotrythemall.Fortunately,modernMLlibrariesinPython(e.g.scikit-learn[
Varoquauxetal.
,
2015
]),R(e.g.caret[
Kuhn
,
2015]
),Julia(e.g.MLJ[
Blaometal.
,
2020
])etc.allowyoutotryoutmultiplemodelswithonlysmallchangestoyourcode,sothere’snoreasonnottotrythemalloutand?ndoutforyourselfwhichoneworksbest.However,
Don’tuseinappropriatemodels
,and
Douse
6
7
Figure2:See
Dokeepupwithrecentdevelopmentsindeeplearning
.Aroughhistoryofneuralnetworksanddeeplearning,showingwhatIconsidertobethemilestonesintheirdevelopment.Forafarmorethoroughandaccurateaccountofthe?eld’shistoricaldevelopment,takealookat
Schmidhuber
[
2015
].
avalidationset
,ratherthanthetestset,toevaluatethem.Whencomparingmodels,
Dooptimiseyourmodel’shyperparameters
and
Doevaluateamodelmultipletimes
tomakesureyou’regivingthemallafairchance,and
Docorrectformultiplecomparisons
whenyoupublishyourresults.
3.3Don’tuseinappropriatemodels
Byloweringthebarriertoimplementation,modernMLlibrariesalsomakeiteasytoapplyinappropriatemodelstoyourdata.This,inturn,couldlookbadwhenyoutrytopublishyourresults.Asimpleexampleofthisisapplyingmodelsthatexpectcategoricalfeaturestoadatasetcontainingnumericalfeatures,orviceversa.SomeMLlibrariesallowyoutodothis,butitmayresultinapoormodelduetolossofinformation.Ifyoureallywanttousesuchamodel,thenyoushouldtransformthefeatures?rst;therearevariouswaysofdoingthis,rangingfromsimpleone-hotencodingstocomplexlearnedembeddings.Otherexamplesofinappropriatemodelchoiceincludeusingaclassi?cationmodelwherearegressionmodelwouldmakemoresense(orviceversa),attemptingtoapplyamodelthatassumesnodependenciesbetweenvariablestotimeseriesdata,orusingamodelthatisunnecessarilycomplex(see
Don’tassumedeeplearningwillbethe
bestapproach
).Also,ifyou’replanningtouseyourmodelinpractice,
Dothinkabout
howyourmodelwillbedeployed
,anddon’tusemodelsthataren’tappropriateforyourusecase.
8
3.4Dokeepupwithrecentdevelopmentsindeeplearning
Machinelearningisafast-moving?eld,andit’seasytofallbehindthecurveanduseapproachesthatotherpeopleconsidertobeoutmoded.Nowhereisthismorethecasethanindeeplearning.So,whilstdeeplearningmaynotalwaysbethebestsolution(see
Don’tassumedeeplearningwillbethebestapproach
),ifyouaregoingtousedeeplearning,thenit’sadvisabletotryandkeepupwithrecentdevelopments.Togivesomeinsightintothis,Figure
2
summarisessomeoftheimportantdevelopmentsovertheyears.Multilayerperceptrons(MLP)andrecurrentneuralnetworks(particularlyLSTM)havebeenpopularforsometime,butareincreasinglybeingreplacedbynewermodelssuchasconvolutionalneuralnetworks(CNN)andtransformers.CNNs(see
Lietal.
[
2021
]forareview)arenowthego-tomodelformanytasks,andcanbeappliedtobothimagedataandnon-imagedata.Beyondtheuseofconvolutionallayers,someofthemainmilestoneswhichledtothesuccessofCNNsincludetheuseofrecti?edlinearunits(ReLU),theadoptionofmodernoptimisers(notablyAdamanditsvariants)andthewidespreaduseofregularisation,especiallydropoutlayersandbatchnormalisation—sogiveseriousconsiderationtoincludingtheseinyourmodels.Anotherimportantgroupofcontemporarymodelsaretransformers(see
Linetal.
[
2022
]forareview).Thesearegraduallyreplacingrecurrentneuralnetworksasthego-tomodelforprocessingsequentialdata,andareincreasinglybeingappliedtootherdatatypestoo,suchasimages[
Khanetal.
,
2022
].AprominentdownsideofbothtransformersanddeepCNNsisthattheyhavemanyparametersandthereforerequirealotofdatatotrainthem.However,anoptionforsmalldatasetsistousetransferlearning,whereamodelispre-trainedonalargegenericdatasetandthen?ne-tunedonthedatasetofinterest[
Hanetal.
,
2021
].Foranextensive,yetaccessible,guidetodeeplearning,see
Zhangetal.
[
2021
].
3.5Don’tassumedeeplearningwillbethebestapproach
Anincreasinglycommonpitfallistoassumethatdeepneuralnetworkswillprovidethebestsolutiontoanyproblem,andconsequentlyfailtotryoutother,possiblymoreappropriate,models.Whilstdeeplearningisgreatforcertaintasks,itisnotgoodateverything;thereareplentyofexamplesofitbeingout-performedby“oldfashioned”machinelearningmodelssuchasrandomforestsandSVMs.See,forinstance,
Grinsztajn
etal.
[
2022
],whoshowthattree-basedmodelsoftenoutperformdeeplearnersontabulardata.Certainkindsofdeepneuralnetworkarchitecturemayalsobeill-suitedtocertainkindsofdata:see,forexample,
Zengetal.
[
2022
],whoarguethattransformersarenotwell-suitedtotimeseriesforecasting.Therearealsotheoreticalreasonswhyanyonekindofmodelwon’talwaysbethebestchoice(see
Dotryoutarangeofdi?erentmodels
).Inparticular,adeepneuralnetworkisunlikelytobeagoodchoiceifyouhavelimiteddata,ifdomainknowledgesuggeststhattheunderlyingpatternisquitesimple,orifthemodelneedstobeinterpretable.Thislastpointisparticularlyworthconsider
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)容負責。
- 6. 下載文件中如有侵權(quán)或不適當內(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確性、安全性和完整性, 同時也不承擔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
- 2025年黃山市徽州國有投資集團有限公司招聘13人模擬試卷含答案詳解
- 2025年煙臺市公費醫(yī)學(xué)生考試選聘(139人)模擬試卷及答案詳解(各地真題)
- 2025湖南湘潭市市直學(xué)校人才引進45人考前自測高頻考點模擬試題附答案詳解(考試直接用)
- 2025福建漳州市漳浦縣金瑞集團招聘20人模擬試卷附答案詳解
- 2025湖南株洲市茶陵縣衛(wèi)生健康局所屬事業(yè)單位就業(yè)見習崗位招聘10人模擬試卷及答案詳解(名師系列)
- 2025內(nèi)蒙古鄂爾多斯生態(tài)環(huán)境職業(yè)學(xué)院人才引進38人模擬試卷及完整答案詳解1套
- 2025屆春季江蘇金陵科技集團有限公司校園招聘模擬試卷及參考答案詳解
- 2025年福建南平武夷有軌電車有限公司招聘1人模擬試卷及完整答案詳解1套
- 2025年嘉興市秀洲區(qū)王江涇醫(yī)院公開招聘編外合同制人員5人模擬試卷有答案詳解
- 2025江蘇南京市棲霞區(qū)人民法院編外人員招聘6人考前自測高頻考點模擬試題附答案詳解
- 2025年上海市公安輔警、法檢系統(tǒng)輔助文員招聘考試(職業(yè)能力傾向測驗)歷年參考題庫含答案詳解
- XX園項目銷售手冊
- 鍋爐工安全培訓(xùn)知識課件
- GB 46031-2025可燃粉塵工藝系統(tǒng)防爆技術(shù)規(guī)范
- T/DGGC 005-2020全斷面隧道掘進機再制造檢測與評估
- 手機媒體概論(自考14237)復(fù)習題庫(含真題、典型題)
- 2024版人教版八年級上冊英語單詞表(含音標完整版)
- 天津地區(qū)高考語文五年高考真題匯編-文言文閱讀
- 高三為夢想揚帆++勵志班會課件
- 個人簡歷模板(5套完整版)
- 跟蹤出站調(diào)車講解
評論
0/150
提交評論