PDF-JournalofMachineLearningResearch7(2006)2399-2434Submitted4/05;Revised5

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BELKINNIYOGIANDSINDHWANIincludetransductiveSVMVapnik1998Joachims1999cotrainingBlumandMitchell1998andavarietyofgraphbasedmethodsBlumandChawla2001Chapelleetal2003SzummerandJaakkola200

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JournalofMachineLearningResearch7(2006)2399-2434Submitted4/05;Revised5: Transcript


BELKINNIYOGIANDSINDHWANIincludetransductiveSVMVapnik1998Joachims1999cotrainingBlumandMitchell1998andavarietyofgraphbasedmethodsBlumandChawla2001Chapelleetal2003SzummerandJaakkola200. brPage 1br 2399 Q UFO2089JTUMJZH TJDOMJUJFT brPage 2br Q Q Q Q Q QQ QQ VTUBTPEDPOTUUVUFEUFFFFODFQPOUPQBTUVOUBZTP DFUZ XFBFQFQBOHUPDFBUFUFDFOUBMFFFODFQPOUPB VOUBZTPD brPage 1br 2399 Q Q QQ UFBBS2089JTUMJSBSZPSH JTTPBFT brPage 3br PUFUT Q brPage 4br QQ Q1756 1757 Q Q2646Q QQ QQ Q Q brP SCHMITTANDMARTIGNONAprincipalfamilyofmodelsforhumanreasoningthatarestudiedwithinthecontextofboundedrationalityaretheprobabilisticmentalmodelsproposedbyGigerenzeretal.(1991).Tothesebe-longsakindofsimpl BELKIN,NIYOGIANDSINDHWANIincludetransductiveSVM(Vapnik,1998;Joachims,1999),cotraining(BlumandMitchell,1998),andavarietyofgraph-basedmethods(BlumandChawla,2001;Chapelleetal.,2003;SzummerandJaakkola,200 MAURERThesituationisimprovedifwehaveasetofmdifferentlearningtaskswithcorrespondingtaskdistributionsandsamplesS1;:::;Sm,eachofsizenanddrawniidfromthecorrespondingdistribu-tions.Wenowconsidersolutionsh1 24, No. 6 (3%) (11%) 0 16 (8%) 17 (8%) 2 NS NS NS NS in 402 6 (3%) 0 16 (8%) 2 level; NS, significant at Visits No. 17 O 2 (8%) 7 1 (4%) 11:13 Maxillary: Molars N/A, numbers statistical significance. B .PreliminaryandpartialresultsfromthisworkappearedasextendedabstractsinCOLT2002andICML2003.c\r2006EyalEven-Dar,ShieMannorandYishayMansour. EVEN-DAR,MANNORANDMANSOURthathavebeenobservedsofar.Acommonobj BENNETTANDPARRADO-HERN MICCHELLI,XUANDZHANGCertainly,thechoiceofthekernelin(2)affectstheperformanceofkernelbasedlearningalgo-rithmsandso,isimportant.Forrecentworkinthisdirection,seeArgyriouetal.(2005,2006),Bachetal.(2004),L .WorkdoneatHarvardUniversityandsupportedbyanNSFMathematicalSciencesPostdoctoralResearchFellowship. CLARKANDEYRAUDinthelimitparadigm(delaHiguera,1997).Theselanguagesarenotcomparabletotheverysimplelanguages,butseembettersuitedtobethebasisforalgorithmsthatcanlearnnaturallanguages.Inthispaperweuseapoly BENNETTANDPARRADO-HERN BELKIN,NIYOGIANDSINDHWANIincludetransductiveSVM(Vapnik,1998;Joachims,1999),cotraining(BlumandMitchell,1998),andavarietyofgraph-basedmethods(BlumandChawla,2001;Chapelleetal.,2003;SzummerandJaakkola,200

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