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11DataMining:
ConceptsandTechniques
(3rded.)
—Chapter6—JiaweiHan,MichelineKamber,andJianPeiUniversityofIllinoisatUrbana-Champaign&SimonFraserUniversity?2011Han,Kamber&Pei.Allrightsreserved.2Chapter5:MiningFrequentPatterns,AssociationandCorrelations:BasicConceptsandMethodsBasicConceptsFrequentItemsetMiningMethodsWhichPatternsAreInteresting?—PatternEvaluationMethodsSummary3WhatIsFrequentPatternAnalysis?Frequentpattern:apattern(asetofitems,subsequences,substructures,etc.)thatoccursfrequentlyinadatasetFirstproposedbyAgrawal,Imielinski,andSwami[AIS93]inthecontextoffrequentitemsetsandassociationruleminingMotivation:FindinginherentregularitiesindataWhatproductswereoftenpurchasedtogether?—Beeranddiapers?!WhatarethesubsequentpurchasesafterbuyingaPC?WhatkindsofDNAaresensitivetothisnewdrug?Canweautomaticallyclassifywebdocuments?ApplicationsBasketdataanalysis,cross-marketing,catalogdesign,salecampaignanalysis,Weblog(clickstream)analysis,andDNAsequenceanalysis.4WhyIsFreq.PatternMiningImportant?Freq.pattern:AnintrinsicandimportantpropertyofdatasetsFoundationformanyessentialdataminingtasksAssociation,correlation,andcausalityanalysisSequential,structural(e.g.,sub-graph)patternsPatternanalysisinspatiotemporal,multimedia,time-series,andstreamdataClassification:discriminative,frequentpatternanalysisClusteranalysis:frequentpattern-basedclusteringDatawarehousing:icebergcubeandcube-gradientSemanticdatacompression:fasciclesBroadapplications5BasicConcepts:FrequentPatternsitemset:Asetofoneormoreitemsk-itemsetX={x1,…,xk}(absolute)support,or,supportcountofX:FrequencyoroccurrenceofanitemsetX(relative)
support,s,isthefractionoftransactionsthatcontainsX(i.e.,theprobabilitythatatransactioncontainsX)AnitemsetXisfrequentifX’ssupportisnolessthanaminsupthresholdCustomerbuysdiaperCustomerbuysbothCustomerbuysbeerTidItemsbought10Beer,Nuts,Diaper20Beer,Coffee,Diaper30Beer,Diaper,Eggs40Nuts,Eggs,Milk50Nuts,Coffee,Diaper,Eggs,Milk6BasicConcepts:AssociationRulesFindalltherulesXY
withminimumsupportandconfidencesupport,s,probabilitythatatransactioncontainsXYconfidence,c,
conditionalprobabilitythatatransactionhavingXalsocontainsYLetminsup=50%,minconf=50%Freq.Pat.:Beer:3,Nuts:3,Diaper:4,Eggs:3,{Beer,Diaper}:3CustomerbuysdiaperCustomerbuysbothCustomerbuysbeerNuts,Eggs,Milk40Nuts,Coffee,Diaper,Eggs,Milk50Beer,Diaper,Eggs30Beer,Coffee,Diaper20Beer,Nuts,Diaper10ItemsboughtTidAssociationrules:(manymore!)BeerDiaper(60%,100%)DiaperBeer(60%,75%)7ClosedPatternsandMax-PatternsAlongpatterncontainsacombinatorialnumberofsub-patterns,e.g.,{a1,…,a100}contains(1001)+(1002)+…+(110000)=2100–1=1.27*1030sub-patterns!Solution:Mineclosedpatternsandmax-patternsinsteadAnitemsetX
isclosedifXisfrequentandthereexistsnosuper-patternY?X,withthesamesupportasX(proposedbyPasquier,etal.@ICDT’99)AnitemsetXisamax-patternifXisfrequentandthereexistsnofrequentsuper-patternY?X(proposedbyBayardo@SIGMOD’98)Closedpatternisalosslesscompressionoffreq.patternsReducingthe#ofpatternsandrules8ClosedPatternsandMax-PatternsExercise.DB={<a1,…,a100>,<a1,…,a50>}Min_sup=1.Whatisthesetofcloseditemset?<a1,…,a100>:1<a1,…,a50>:2Whatisthesetofmax-pattern?<a1,…,a100>:1Whatisthesetofallpatterns?!!9ComputationalComplexityofFrequentItemsetMiningHowmanyitemsetsarepotentiallytobegeneratedintheworstcase?ThenumberoffrequentitemsetstobegeneratedissenstivetotheminsupthresholdWhenminsupislow,thereexistpotentiallyanexponentialnumberoffrequentitemsetsTheworstcase:MNwhereM:#distinctitems,andN:maxlengthoftransactionsTheworstcasecomplextyvs.theexpectedprobabilityEx.SupposeWalmarthas104kindsofproductsThechancetopickuponeproduct10-4Thechancetopickupaparticularsetof10products:~10-40Whatisthechancethisparticularsetof10productstobefrequent103timesin109transactions?10Ch繼ap跡te代r頸5:愉M俘in患in哥g客Fr先eq皇ue尋nt達(dá)P帥at扭te新rn拜s,凈A嫂ss左oc紀(jì)ia兔ti腔on桑a泥nd出C凡or騙re臘la詳ti警on槐s:嫁B欠as轟ic贈(zèng)C傻on專ce關(guān)pt爪s早an植d英Me馳th憐od協(xié)sBa芳si考c既Co撥nc老ep貼tsFr競(jìng)eq陪ue德nt爛I晴te頸ms財(cái)et旅M炒in緣瑞in都g鑰Me珍th載od長(zhǎng)sWh盒ic鬼h牌Pa辜tt彼er儉ns家A漿re凱I災(zāi)nt即er記es框ti心ng朝?—啄Pa斧tt隔er密n媽Ev尋al旱ua車ti向on浮M精et飽ho爪dsSu征mm剪ar奸y11Sc曬al耽ab樣le具F巾re罷qu勾en職t葡It極em帽se數(shù)t灰Mi丟ni敲ng譽(yù)M際et防ho逼dsAp發(fā)ri揮or甲i:品A遇C陳an堂di賣da陽(yáng)te馳G摔en縣er眾at琴io筐n-店an羊d-煉Te度st蜻A湯pp敬ro落ac扎hIm認(rèn)pr悉ov警in震g母th額e犯Ef救f(wàn)i隸ci吼en跌cy長(zhǎng)o元f次Ap巧ri臭or活iFP計(jì)Gr妹ow衰th閱:躺A認(rèn)F笨re權(quán)qu突en雀t館Pa湖tt霸er況n-宗Gr療o(wú)w陰th粗A絲式pp煉ro翅ac南hEC偏LA瞎T:晌F銅re辮qu淡en騾t乳Pa口tt徐er斤n隱Mi壞ni吼ng缸w鋸it皂h殲Ve嗽rt胃ic盡al卡D愁at好a若Fo霞rm賄at12Th池e府Do乒wn海wa愛rd鏈C螺lo瞇su渾re班P興ro撥pe雕rt堅(jiān)y獨(dú)an爹d雁Sc貢al峽ab狗le認(rèn)M風(fēng)in朋in束g籠Me浴th遠(yuǎn)od銅sTh巷edo孫wn墳wa籃rd征c檔lo剩su板repr碼op齊er乏ty袖o畢f(xié)愁fr臉eq宴ue巷nt紙p困at您te矛rn假sAn娃y溉su秒bs擺et豈o簽f嫌a烈fr鼓eq鉛ue它nt淘i促te引ms笨et財(cái)m準(zhǔn)us細(xì)t禍be柿f誓re部qu配en酷t(yī)If{b角ee搖r,章d炎ia斗pe誰(shuí)r,徑n善ut果s}is孔f型re浮qu顧en趁t,座s招o趁is{b織ee技r,備d楚ia珍pe哨r}i.伸e.醋,充ev穴er偽y擋tr眠an樓sa已ct相io抬n茂ha綠vi爹ng芬{佛be猛er莖,貝di鵝ap睜er罰,掏nu濤ts拳}乖al前so秒c唉on收ta對(duì)in個(gè)s牢{b膨ee負(fù)r,兵d擾ia隆pe條r}Sc平al饒ab盲le繁m描in局in虹g足me鋒th漆od鑄s:倘T眾hr利ee享m桌aj博or只a侍pp投ro沙ac抱he囑sAp悼ri姻or炭i擠(A現(xiàn)gr盡aw霧al鑄&南S因ri慨ka邊nt戚@V快LD老B’覺94硬)Fr錄eq攻.蹦pa診tt銹er陵n枕gr那ow娛th椒(激FP嫌gr急ow偽th艙—H川an蜜,污Pe尺i曠&電Yi粗n忠@S芹IG敞MO軋D’炊00顏)Ve允rt東ic辟al設(shè)d燃at耗a礙fo擦rm模at井a(chǎn)濾pp凡ro家ac者h(yuǎn)噴(C使ha強(qiáng)rm馬—Z盒ak恨i管&余Hs亂ia憶o牢@S惑DM絹’0捐2)13Ap究ri倡or迷i:梢A爐C倦an夏di村da碑te寧G掙en泉er扎at蘆io俘n文&汁Te蜜st砌A援pp目ro震ac裂hAp杰ri闊o(wú)r湖i附pr學(xué)un帳in酸g伯pr貝in拔ci盾pl觀e:If摸t江h(huán)e奏re懲i內(nèi)san疲yit胡em渠se蓮t示wh震ic言h患is融i血nf惡re闖qu晴en汗t,層i叔ts休s柿up遷er鈔se匹t達(dá)sh應(yīng)ou糟ld作n間ot佛b頭e靜ge含ne義ra叫te縫d/將te反st湊ed勒!吳(Ag川ra怪wa墓l候&膠Sr范ik單an汪t汽@V季LD怠B’瘦94弊,設(shè)Ma念nn麗il辭a,甜e椒t無(wú)al丸.顫@躍KD預(yù)D’膠9假4)Me景th旋od鬧:In虧it旗ia課ll福y,象s溜ca殿n匙DB姐o暴nc龜e渴to所g隱et捎f協(xié)re農(nóng)qu全en推t詞1-嗚it顧em岸se間tGe肢ne尊ra環(huán)tele淡ng喂th秘(訊k+霞1)ca芝nd助id躲at武eit吼em改se禁ts辜f盾ro隱m截le麻ng衣th泄kfr詳eq免ue尖ntit爪em父se謎tsTe繼stth建e央ca缸nd插id耳at梢es既a乖ga校in享st轎D輕BTe鋸rm艦in弱at劈燕e洪wh導(dǎo)en財(cái)n沈o內(nèi)fr數(shù)eq迎ue己nt具o新r心ca獻(xiàn)nd軌id錯(cuò)at販e錫se畝t蒜ca宮n范be饞g巷en仁er葵at例ed14Th原e結(jié)Ap填ri充or嘩i隙Al蜘go引ri剩th頸m—犁An湊E褲xa敏mp鎖leDa純ta祖ba藍(lán)se纖T淺DB1stsc判anC1L1L2C2C22ndsc壤anC3L33rdsc慌anTidItems10A,C,D20B,C,E30A,B,C,E40B,EItemsetsup{A}2{B}3{C}3{D}1{E}3Itemsetsup{A}2{B}3{C}3{E}3Itemset{A,B}{A,C}{A,E}{B,C}{B,E}{C,E}Itemsetsup{A,B}1{A,C}2{A,E}1{B,C}2{B,E}3{C,E}2Itemsetsup{A,C}2{B,C}2{B,E}3{C,E}2Itemset{B,C,E}Itemsetsup{B,C,E}2Su泄pmi躺n=瞎215Th串e當(dāng)Ap掌ri譯or蛾i羞Al灶go喉ri局th翠m殖(Ps礦eu剩do員-C粘od科e)Ck:寨Ca鞭nd方id級(jí)at詞e孟it飼em仁se鑄t鑒of予s樓iz度e脾kLk:生fr房誠(chéng)eq弊u(yù)e節(jié)nt噸i批te庭ms英et塑o巨f辣si像ze柴kL1=召{f史re蜓qu貫en度t保it丈em話s}銳;fo者r(k=也1;Lk!=;k++斤)do籮b陷eg智inCk+所1=盼ca竿nd錄id擦at兩es炭g越en殊er煤at吼ed酒f趙ro雨mLk;fo望r怪ea朝chtr野an掌sa債ct室io蹈ntin朵d蚊at兆ab霜as淺e臟doin族cr枯em叨en群t園th悠e之co扎un判t懷of境a擔(dān)ll拒c基an穴di拿da臟te死s昂inCk+悄1th葬at大a令re壞c綿on巷ta銷in窯ed氏i下ntLk+同1=赴ca株nd農(nóng)id爬at慣es巴i盛nCk+禽1wi拍th隔m烘in幅_s早up孕po狹rten姻dre匠tu除rnkLk;16Im躁pl羞em葉en皆ta演ti啞on忠o標(biāo)f間Ap礎(chǔ)ri伏or閃iHo駛w旋to浴g貓en死er訴at化e慰ca延nd葵id毯at奴es獵?St筒ep羊1它:弄se扁lf泡-j概oi刪ni宏ngLkSt炭ep追2礎(chǔ):姨pr釘un戀in指gEx陣am蜻pl占e偽of歲C滴an卷di湊da巴te別-g雷en棟er葡at儀io麥nL3={ab校c,立a謎bd滋,各ac嘗d,質(zhì)a捕ce惑,梢bc換d}Se份lf烤-j涂oi鐵ni速ng黃:L3*L3ab掃cdfr演omab用can窩dab陪dac牲defr晉omac婚dan煌dac紅ePr視un低in莊g:ac抵deis零r往em四ov棚ed調(diào)b摘ec扯au服sead俯eis佩n毅ot立i耐nL3C4=避{ab軋cd}17Ho怠w匯to百C織ou走nt格S佛up煮po濟(jì)rt督s港of吊C覆an特di劣da享te業(yè)s?Wh灶y域co捷un骨ti洞ng抄s前up啦po另rt解s僚of獵c升an悉di請(qǐng)da辭te液s陡a贏pr叫ob裂le自m?Th夾e恭to托ta餃l扒nu星mb與er免o憂f肉ca弄nd烏id錫at裹es鼠c狼an跨b王e替ve勿ry僚h顆ug慘eOn貢e饞tr惡an扛sa六ct鏟io親n跑ma語(yǔ)y材co澡nt佳a(bǔ)i頸n猶ma揀ny悅c喚an護(hù)di伸da陡te劃sMe廟th膠od耕:Ca幅nd脊id腔at損e鄰it薦em星se殘ts捐a嗎re停s戒to掏re抵d柜in劑aha余sh誓-t耗re愿eLe熊afno骨deof摟h亡as爭(zhēng)h-把tr洋ee娃c螺on恢ta義in院s憤a木li伍st索o珠f燒it田em包se笑ts唱a謝nd婆c增ou驗(yàn)nt顯sIn囑te象ri院orno聰deco過nt融ai晨ns郊a屑h餅as膊h竿ta乓bl挑eSu表bs抵et們f秩un正ct腐io差n:漁fi睡nd掠s搏al婦l斬th鞠e界ca覽nd捷id倆at隨es淡c根on魚ta寒in執(zhí)ed肅i扯n何a憐tr堵an域sa扇ct墨io赴n18Co拒un海ti潔ng撒S交up暴po途rt攏s眠of宴C豈an縫di猛da戰(zhàn)te記s懂Us遠(yuǎn)i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