Approximate Subtree Identification in Heterogeneous XML Document Collections

Transcription

1 Approximat Sutr Intiiation in Htrognous XML Doumnt Colltions Ismal Sanz 1, Maro Msiti 2, Giovanna Gurrini 3 an Raal Brlanga 1 1 Univrsitat Jaum I, Spain 2 Univrsità gli Stui i Milano, Italy 3 Univrsità gli Stui i Pisa, Italy

2 Contxt Htrognous XML Doumnt Colltions No shma inormation Approximat sutrs Swith parnt/hilrn rlationships Missing lmnts an lvls Prsn o on t ar nos a a a a Sanz, Msiti, Gurrini, Brlanga: Approximat Sutr Intiiation in Htrognous XML Doumnt Colltions. XSym'05 2

3 Sanz, Msiti, Gurrini, Brlanga: Approximat Sutr Intiiation in Htrognous XML Doumnt Colltions. XSym'05 3 Motivating Exampl prson arss strt ity Ol Strt Lonon prson mploy arss prson arss prson arss strt strt arss ity arss Ol Strt Lonon prson strt prson town prson

4 Ojtivs Flxiility an aaptaility: Support ivrs strutural similarity masurs Tag similarity (syntati an smanti) Work with stanar XML inxing shms Us th masurs to aptur appliation-spii rquirmnts Sanz, Msiti, Gurrini, Brlanga: Approximat Sutr Intiiation in Htrognous XML Doumnt Colltions. XSym'05 4

5 Summary o th Approah 2 stps: Crat a lxil, gnri way o rtriving aniat sutrs. Us on (or svral) similarity masurs to rank th rsult. Trminology Targt tr: st o htrognous oumnts, rprsnt as a tr with an astrat root. Pattrn tr: an astrat rprsntation o a usr qury Sanz, Msiti, Gurrini, Brlanga: Approximat Sutr Intiiation in Htrognous XML Doumnt Colltions. XSym'05 5

6 Sanz, Msiti, Gurrini, Brlanga: Approximat Sutr Intiiation in Htrognous XML Doumnt Colltions. XSym'05 6 Rprsntation Ass nos using a numring shm Shoul as gnri as possil Minimal: (pr, post, lvl) Shoul work with mor omplx shms a (1, a 3, 1) (2, 2, 2) (3, 3, 2)

7 Sanz, Msiti, Gurrini, Brlanga: Approximat Sutr Intiiation in Htrognous XML Doumnt Colltions. XSym'05 7 Pattrn, Fragmnt, Rgion Fragmnt: sutr o th targt with only rlvant nos Rgion: omination o ragmnts root at thir narst ommon anstor h h h

8 Sanz, Msiti, Gurrini, Brlanga: Approximat Sutr Intiiation in Htrognous XML Doumnt Colltions. XSym'05 8 Pattrn-rgion Mathing R1 R3 h R2

9 Sanz, Msiti, Gurrini, Brlanga: Approximat Sutr Intiiation in Htrognous XML Doumnt Colltions. XSym'05 9 Pattrn-rgion Similarity Evaluation Eval( M ) = X p V ( P ): M ( x p ) max( V( Sim NODE ( x p P ), V( R ) ),M( x p )) Similarity MathSim( P,R ) = maxm (Eval( M ))

10 Sanz, Msiti, Gurrini, Brlanga: Approximat Sutr Intiiation in Htrognous XML Doumnt Colltions. XSym'05 10 Vrtx Similarity Math-as Sim ( x, x ) = 1 M Lvl-as Sim L ( x Distan-as Sim D p p,x ( x p r r lvlp( x p ) lvlr( xr ) ) =1 max( lvl( P ),lvl( R )), x ) = 1 ( x max( ), Many othr possiilitis r P p max P ( x R r max R ) )

11 Sanz, Msiti, Gurrini, Brlanga: Approximat Sutr Intiiation in Htrognous XML Doumnt Colltions. XSym'05 11 Similarity xampl Similarity o mathing vrtis 1 x P SimM SimL SimD 1 1 2/3 2 x P 3 x P 1 1 2/3 1 2/3 1/5 Similarity o th pattrn with rgions R 1 R 2 R 3 SimM SimL SimD 1 1 7/9 2/3 1/2 4/9 3/5 2/5 2/5

12 Fragmnt Constrution Targt inx Corrlats th lmnt lals with thir ourrns in th targt (Invrt inx) Us a normaliz lal st to aount or inxat lal mathing: two syntatially or smantially similar lals ar inx togthr Pattrn inx Otain y xtrating rom th targt inx th lmnts similar to thos in th pattrn an organizing thm lvly-lvl Sanz, Msiti, Gurrini, Brlanga: Approximat Sutr Intiiation in Htrognous XML Doumnt Colltions. XSym'05 12

13 Fragmnt Constrution Targt an pattrn inx h Sanz, Msiti, Gurrini, Brlanga: Approximat Sutr Intiiation in Htrognous XML Doumnt Colltions. XSym'05 13

14 Sanz, Msiti, Gurrini, Brlanga: Approximat Sutr Intiiation in Htrognous XML Doumnt Colltions. XSym'05 14 Fragmnt Constrution Targt an pattrn inx 1,5,1 7,8,2 12,13,2 2,4,2 8,8,3 5,5,2 10,10,3 14,16,2 3,3,3 9,10,2 13,13,2 15,16,2 4,4,3 6,10,1 16,16,4 h 11,16,1

15 Sanz, Msiti, Gurrini, Brlanga: Approximat Sutr Intiiation in Htrognous XML Doumnt Colltions. XSym'05 15 Fragmnt Constrution Targt an pattrn inx 1,5,1 7,8,2 12,13,2 2,4,2 5,5,2 8,8,3 10,10,3 14,16,2 3,3,3 9,10,2 13,13,2 15,16,2 4,4,3 6,10,1 16,16,4 h 11,16,1 1,1,5,1 2,7,8,2,12,13,2

16 Sanz, Msiti, Gurrini, Brlanga: Approximat Sutr Intiiation in Htrognous XML Doumnt Colltions. XSym'05 16 Fragmnt Constrution Targt an pattrn inx 1,5,1 7,8,2 12,13,2 2,4,2 5,5,2 8,8,3 10,10,3 14,16,2 3,3,3 9,10,2 13,13,2 15,16,2 4,4,3 6,10,1 16,16,4 h 11,16,1 1,1,5,1 2,2,4,2 3,8,8,3,7,8,2,12,13,2

17 Sanz, Msiti, Gurrini, Brlanga: Approximat Sutr Intiiation in Htrognous XML Doumnt Colltions. XSym'05 17 Fragmnt Constrution Targt an pattrn inx 1,5,1 7,8,2 12,13,2 2,4,2 5,5,2 8,8,3 10,10,3 14,16,2 3,3,3 9,10,2 13,13,2 15,16,2 4,4,3 6,10,1 16,16,4 h 11,16,1 1,1,5,1 2,2,4,2,5,5,2,7,8,2,12,13,2,14,16,2 3,8,8,3,10,10,3

18 Fragmnt Constrution Comput ragmnts y travrsing th pattrn inx Algorithm: Bgin at th highst availal lvl Fin snants in th sulvls Cost O( K lal( P) NL( T ) ) K = maximal siz o a lvl strutur Sanz, Msiti, Gurrini, Brlanga: Approximat Sutr Intiiation in Htrognous XML Doumnt Colltions. XSym'05 18

19 Sanz, Msiti, Gurrini, Brlanga: Approximat Sutr Intiiation in Htrognous XML Doumnt Colltions. XSym'05 19 Fragmnt Constrution Targt an pattrn inx 1,5,1 7,8,2 12,13,2 2,4,2 5,5,2 8,8,3 10,10,3 14,16,2 3,3,3 9,10,2 13,13,2 15,16,2 4,4,3 6,10,1 16,16,4 h 11,16,1 1,1,5,1 2,2,4,2,5,5,2,7,8,2,12,13,2,14,16,2 3,8,8,3,10,10,3

20 Sanz, Msiti, Gurrini, Brlanga: Approximat Sutr Intiiation in Htrognous XML Doumnt Colltions. XSym'05 20 Rgion Constrution Potntially xponntial omplxity Loality prinipl: mrging ragmnts or rgions only maks sns whn thy ar los Rmark: mrging as on t ar nos In prati, mrg ajant ragmnts an rgions

21 Sanz, Msiti, Gurrini, Brlanga: Approximat Sutr Intiiation in Htrognous XML Doumnt Colltions. XSym'05 21 Rgion Constrution,1,5,1,7,8,2,10,10,3,12,13,2,14,16,2,2,4,2,5,5,2,8,8,3,6,10,1 h,11,16,1,7,8,2,10,10,3,12,13,2,14,16,2,8,8,3

22 Prototyp Sanz, Msiti, Gurrini, Brlanga: Approximat Sutr Intiiation in Htrognous XML Doumnt Colltions. XSym'05 22

23 Sanz, Msiti, Gurrini, Brlanga: Approximat Sutr Intiiation in Htrognous XML Doumnt Colltions. XSym'05 23 Exprimntal Rsults Synthti tst olltions

24 Sanz, Msiti, Gurrini, Brlanga: Approximat Sutr Intiiation in Htrognous XML Doumnt Colltions. XSym'05 24 Exprimntal Rsults Qury tim

25 Sanz, Msiti, Gurrini, Brlanga: Approximat Sutr Intiiation in Htrognous XML Doumnt Colltions. XSym'05 25 Exprimntal Rsults Et o no aition an rmoval

26 Conlusions Conlusions Dvlop an approah or th intiiation o sutrs whih ar similar to a givn pattrn in a olltion o htrognous XML oumnts Futur work Framwork or slting, omposing an applying similarity masurs A som onstraints to vrtis an gs Sanz, Msiti, Gurrini, Brlanga: Approximat Sutr Intiiation in Htrognous XML Doumnt Colltions. XSym'05 26