广工数据挖掘复习要点

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2)7/14

7=P(A=0|+)P(B|+)P(C=0|+)xP(+)/K=0.4x0.2x0.2x0.5/K=0.008/KP(-|A=0,B=1,C=0)=P(A=0,B=1,C=O|-)xP(-)/K=P(A=0|-)P(B|-)P(C=0|-)xP(-)/K=0.4x0.2x0x0.5/K=0/Kᑣ4ᑮ6᪵Ḅ᪗7+஺(3)P(A|+)=(3+2)/(5+4)=5/9P(A|-)=(2+2)/(5+4)=4/9P(B|+)=(1+2)/(5+4)=1/3P(B|-)=(2+2)/(5+4)=4/9P(C|-)=(0+2)/(5+4)=2/9(4)Ꮇ)P(A=0,B=1,C=0)=KᑣK,-.Ḅᭆ᳛#/P(+|A=0,B=1,C=0)=P(A=0,B=1,C=O)xP(+)/K=P(A=O|+)P(B|+)P(C=O|+)xP(+)/K=(4/9)x(1/3)x(1/3)x0.5/K=0.0247/KP(-|A=0,B=1,C=0)=P(A=0,B=1,C=O)xP(-)/K=P(A=O|-)P(B|-)P(C=O|-)XP(-)/K=(5/9)x(4/9)x(2/9)x0.5/K=0.0274/Kᑣ4ᑮ6᪵Ḅ᪗7(5):ᩩᭆ᳛#0Ḅ;᎛ᩩᭆ᳛Ḅ⚜ᵨLaplas"=#ᡃ?@A᦮.ᩩᭆ᳛2CD#0.EFGHᑖ᪆1.H/HK7LᦪNOᑜᑖ#ᵫRSTUVWXᡂḄZ.Xᡈ\Ḅ]^4XḄVWḄTU_ᨬᜧᓄ@XḄTU_ᨬcᓄ஺ᡈὅeH7ᵫf6TUḄXVW᪀ᡂḄOᔠ஺ᑖ/ᑖ7ᦪN᢬᣾Ḅk⌕mnᐸop7VᦪNOqrstu᪀⌼.wᨵ⚜yzḄᑖ{|ᵨ-⚜}~᪵Ḅ᪗᪗}~Ḅ᪵᧜ᑮ.⚜ᐜḄ᪗஺/HᑖḄ2.ᐺ|ḄHᑖ᪆opᒹḄ/1){⊤(H2ḄẠ)2)〉ᔠ-ᦪN⚞Ḅ{TUឋ(7Hᑖ᪆ᨬḄ⚪)3)Hᡈὅᑜᑖ2(Hᑖ᪆Ḅ᪶)4)ᦪN᤺⌕(᝞ᨵ⌕)5)¡¢CDḄ£ᨵᦔឋḄ£(᝞ᨵ⌕)3.ᦪN᢬᣾VHḄᐺ|⌕¥/1)¦§¨ឋ2)ᜐᳮ@|,ឋḄz«3)¬o®¯°ḄH4)ᵨ-±¡ᐭ³ᦪḄ⚞~´ᨬcᓄ5)ᜐᳮµ¶ᦪNḄz«6)V¡ᐭ·Ḅ¸¹@º»7)¼½_8)-¾¿ḄH9)¦ÀÁឋ¦ᵨឋ஺4.ᐺ|H/1)ᑜᑖ(Â.ᑜᑖ⊤.H)2)ÃÄ(LᦪNVWXᡂ8/14

8.H᪛)3)-Æ_Ḅ(ÇᜧZᦪᑜᑖÈ7-VWÉÊḄËÌᜧcqrH)4)-{|Ḅ(ÍLᦪNÎ.ᦪs{|ÏᡂᨬÐÑᔠ)5)-ÍḄH2(ᑭᵨÍḄÓZÔ⌕ឋÕᱯឋ)5.k-means2ÃÄH2Ḅ×ØÙ/(1)k-means2/×Ù/2ÚÛÜ᧕Þßᓫáâ@ã/•\Ḅ.ᦪ⌕⚜ᐜ•VåæçḄèé᩽ᜧ•@〉ᔠᜧëᦪNḄᜐᳮ•Vµ¶ÙÌìÙíº»•íîïᑮ“ñᯠḄ”\஺(2)ÃÄH2/BIRCH2/×Ù/ᑭᵨHᱯô᪛ᭆõHḄᨵᵨö÷⁚ḕᑁûüÊᐹᨵVWᦪþᕈឋᐵឋḄ஺♦⁚ᒹᨵ▲ᦪḄᩩ!"ᦔ᳛%&Ḅ'(Ḅ)*ᜧ஺CURE,-./01Ḅᜐᳮ456•〉ᵨ:ᜧ;<ᦪ=ᜐᳮឋ>ᨵ?ᱨ6A,-ᙠᜐᳮᜧᦪ=CDEF:G᪵ᑜᑖKᢈM஺ROCK,-.ᑖាOPᵨQRG᪵ᜐᳮᦪ=6AᨬTḄUVWCXYᩖ[\ᦪᜧ஺F:][Ḅ,-^_ᐹᨵab'(cᜧdḄ&efgh&Ḅᦪᑖi&j᛻lmnopqᓽsᡂuᵨvXwxCXYᩖ[yO(NlbN)z⚪1.Ꮇ~qḄᒹឋឋ_஺ᨵᩩpஹq&C1>C2Ḅ᝞Wᑖ_&XḄi஺(k-means,-Ḅ)p=ᵱ,18q=᝕,ᙥ,20C1=ᵱ25,᝕5620,ᙥ6,¡ᐵ4619)C2=ᵱ3,᝕126¢ᜮ12,ᙥ1,¤¥2624)¦ᢥh¨4-3,©x=1,ªᑮḄᔜi᝞Wd(p,q)=1+1+20-18=4d(p,C1)=(1-25/30)+(1-20/30)+(19-18)=1.5d(p,C2)=(1-3/15)+(1-0/15)+(24-18)=7.8d(q,C1)=(1-5/30)+(1-6/30)+(20-19)=79/30d(q,C2)=(1-12/15)+(1-1/15)+(24-20)=77/15d(C1,C2)=[1-(25*3+5*12)/(30*15)]+[1-(6*1)/(30*15)]+(24-19)=1003/1504.1®¯°±ᓫq᝞WḄ³-ᑜᑖ³-´o³-F:][Ḅ³-F:<µḄ³-஺y³-¶z·஺¸¯¹ᦪ=ᑜᑖyº»/¼½Ḅ¾¿uªcn½À/¼º»[ᨬᜧÁc½À/¼º»[ᨬd஺Â⌕ᨵÄWÅƵ³-(1)ᑜᑖ³-¶hnᨵNᐗ½ᡈὅḄᦪ=ÊᑖË-¹᪀⌼Kᑖ½nᑖ½ÎÏ⊤nK

92
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஺4.10⊤ᑡ4eḄᨬ/.஺ᵨSNN,IwAeqḄSNN,I஺_______________________________________/.¡/.143234342431¢CSNNᓽᐳ¥ᨬ/.ᦪ>ᐸ,I஺e1e2ḄSNN,IC0¦§ᨵᐳ¥ᨬ/.¨e1e3ḄSNN,IC1¦ᐳ¥e4Wᨬ/.¨e1e4ḄSNN,IC1©¥e3Wᨬ/.¨e2e3ḄSNN,IC1ᐳ¥e4Wᨬ/.¨e2e4ḄSNN,IC1©¥e3Wᨬ/.¨e3e4ḄSNN,IC0¦§ᨵᐳ¥ᨬ/.¨ª«ᐵὶᑖ᪆1.FP-tree¦FGFPprowthAB¨FP᪛Ḅ᪀±10/14

102.AprioriABḄ²(ᨬ´µᢝIᦪ█o=2)C1⚗ᢝᦔ⌚ᨬᢝ⚗ᢝᦋM1SD.{Cola}3.ᡂ(Cola)3X1᝕
ᦪA(Egg)1(Diaper)3(Diaper)3(Beer)3{Beer}3(Ham)2{Ham}2⚗⚗ᢝᦪ!"D#$ᵫᡂ᎛(ColaDiapery᎛⍎&'{ColaDiaper)22(ColaBeer)ᦔ>(ColaBeer)2{ColaHarr)(ColaHam!2fDi·erBee¸)(DiaperBeer}1(Didpe¸HaE{DiaperHam}3(Beer{BeerHarri1L201ᢝᦟ᠒)*+{ColaDiaper)2ᵯᡂ᎛4ᦔ.ᡂ,--2./L1(ColaBeer)2456,(ColaDiaperBe^r){ColaHam)2(DiaperBeer!389D.#:C3?@ᨬAᱯ<43=Cᦔ.ᡂ⚗µºI»ᦢ>,DX-3:FL%(ColaDiaper2Beer)3.ᭆ¾Cᙠᐵὶᑖ᪆ᒹÀ0ᡈÁ⚗ḄᔠÃ>⚗ᒹÀkᦪ⚗Ḅ⚗XÃ>k-⚗஺Ä⚗ḄµᢝIᜧGᡈEG9█oᑣÃ>⚣Ç⚗஺ਭC(1)ÉÊ⚣Ç⚗C]^<=ᨬ´µᢝI█oḄᡠᨵ⚗ᓽ⚣Ç⚗஺(2)ÉÊËᑣCÌÍ]^Ḅ⚣Ç⚗ÎÏᜧGÐÑI█oḄËᑣᓽÒËᑣ஺5.1ᑡÓᐵὶËᑣᙠQÔ⚞kÖᵨḄ×஺¢CᙠØ⚞kC]^9+ÙÚJ9ÛÜqḄᐵὶ>ØÊÝÞÛÜßàáᶭΩãäåᙠᖪç⚞kC]^ᖪèḄὶ>ᖪéÝÞᖪèê├ì᤮îïðΩñòóÑôCᙠᙢᳫ÷⚞kCøùúûஹ▮ᙢᜧýmþqḄᐵ஺11/14

115.2u᝞ÿ
ḄᐵὶᑣḄᔲᨵḄ஺(a)ᢝḄᑣ(b)ᢝḄᑣ(c)ᢝḄᑣ(d)ᢝḄᑣ஺5.3ᦪ!"᝞⊤5-14ᡠ&'⊤5-14(⚪5.3ᦪ!"CustomerIDTransactionIDItemsBought10001{a,d,e}10024{a,b,c,e}20012{a,b,d,e}20031{a,c,d,e}30015{b,c,e}30022{b,d,e)40029{c,d}40040{a,b,c}50033{a,d,e}50038{a,b,e}(a)*+,-./01,-2ᱥ456⚗"{e},{b,d}{b,d,e}Ḅᢝ஺(b)ᑭᵨ(a):;<56ᐵὶᑣ{b,d}-{e}{e}->{b,d}Ḅ஺,-=>Ḅ?ᔩA(c)*+,-ᵨᡝ2CḄᡠᨵᖪE01,-2ᱥ456⚗"{e},{b,d}{b,d,e}Ḅᢝ஺(d)ᑭᵨ(b):;<56ᐵὶᑣ{b,d}f{e}{e}-{b,d}Ḅ஺,-=>Ḅ?ᔩAF'(a)s({e})=8/10=0.8;s({b,d})=2/10=0.2;s({b,d,e})=2/10=0.2.(b)c({b,d}->{e})=s({b,d,e})/s({b,d})=0.2/0.2=1;c({e}->{b,d})=s({b,d,e})/s({e})=0.2/0.8=0.25.ᵫHc({b,d}->{e})^c({e}->{b,d}),ᡠIJ,-=>Ḅ?஺(c)᝞<*+,-ᵨᡝ2CᡠᨵḄᡠᨵᖪE01,-2ᱥ4ᑣs({e})=4/5=0.8;s({b,d})=5/5=1;s({b,d,e})=4/5=0.8.(d)ᑭᵨc:;<56ᐵὶᑣ{b,dL{e}{e}-{b,d}Ḅᑣc({b,d}->{e})=0.8/1=0.8c({e}->{b,d})=0.8/0.8=1J,-=>Ḅ?5.6ὃ⇋᝞MḄ⚣O3-⚗"'{1,2,3},{1,2,4},{1,2,5},{1,3,4},{1,3,5},{2,3,4),12/14

12{2,3,5},{3,4,5}஺(a)᪷!Apriori6QḄ᎛⌱⚗"TᡂVQᑏXᑭᵨ⚣O3-⚗"TᡂḄᡠᨵ᎛⌱4-⚗"஺(b)ᑏXZ[\]^Ḅᡠᨵ᎛⌱4-⚗"F'(a)ᑭᵨ⚣O3-⚗"TᡂḄᡠᨵ᎛⌱4-⚗"'(1,2,3,4}{1,2,3,5}{1,2,4,5}{1,3,4,5}{2,3,4,5)(b)Z[\]^Ḅᡠᨵ᎛⌱4-⚗"'(1,2,3,4}{1,2,3,5)5.7,-ᦪ!`ᨵ5-./᝞⊤5-15ᡠ&஺amin_sup=60%,min_conf=80%஺⊤5-15(⚪5.7ᦪ!"b/ID2CḄᖪET100{M,0,N,K,E,Y)T200{D,0,N,K,E,Y)T300{M,A,K,E)T400{M,U,C,K,Y)T500{C,0,O,K,I,E)(a)ᑖdᵨApriori6QFP-growth6QeXᡠᨵ⚣O⚗"஺fgh᢬᣾VQḄᦔ᳛஺(b)fgmnQApriori6QTᡂḄ᎛⌱⚗"Ḅᦪ?஺(c)ᑭᵨ(1)ᡠeXḄ⚣O⚗"TᡂᡠᨵḄoᐵὶᑣ=pḄᢝ஺F'(1)⚣O1-⚗"'M,O,K,E,Y⚣O2■■⚗"'{M,K},{0,K},{0,E},{K,Y},{K,E}⚣O3-⚗"'{O,K,E}(2)mnQ'M=2k-1=2n-1=2047Apriori6Q'23(3){O,K}->{E},ᢝ0.6,1{O,E}->{k},ᢝ0.6,15.9ᑖdᑭᵨᢝஹsᓣuᐵὶᑣḄvwx஺F'ᢝvx'ᢝyᩩᑣ{|〉ᵨHᦪ!":Ḅᜧᑖ./஺wx'ᢝ█[ᑣᙠḄᨵḄᵫHᒹᢝḄ⚗ᑤᢝ█[ᑣ56Tᜧ?Ḅᐵὶ஺vx'᝞<ᐵὶᑣḄ^Ḅ{|ឋᜧ஺wx'eᑮ¡¢ᐵḄᐵὶᑣ஺sᓣ'vx'sᓣ{Iu£⚗"AḄX¤ᔲ|¥¦§⚗"BḄX¤wx'¨TX¤©¢ª«¬Ḅᑣ஺5.10⊤5-16ᡠ&Ḅ¢⊤®¯°±²³Ḅ./ᦪ!஺ᐸ:hotdogsᢣᒹ¶·Ḅ./hotdogsᢣJᒹ¶·Ḅ./஺hamburgersᢣᒹ¸ᚽḄ./hamburgersᢣJᒹ¸ᚽḄ./஺⊤º16(⚪5.10¢⊤13/14

13E.hotdogshotdogsErowHamburgers2,0005002,500hamburgers1,0001,5002,500Ecol3,0002,0005,000Ꮇa᢬᣾XḄᐵὶᑣ“hotdogsnhamburgers”஺¼½ᨬᢝ█25%ᨬ█50%,y-ᐵὶᑣoᑣᔩA56ᐵὶᑣ“hotdogs—hamburgers”Ḅsᓣ|¥¿ÀÁ⚪A2C¶·2C¸ᚽ«¬ḄᔩA᝞