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IR Reading 2019秋 論文紹介 / IR Reading 2019Fall

Takuya Asano
October 27, 2019

IR Reading 2019秋 論文紹介 / IR Reading 2019Fall

IR Reading 2019秋 http://sigir.jp/post/irreading_2019fall/ で下記2本の論文を紹介しました。

1. Accelerated Query Processing Via Similarity Score Prediction (SIGIR 2019)
2. Fast Approximate Filtering of Search Results Sorted by Attribute (SIGIR 2019)

Takuya Asano

October 27, 2019
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  1. *33FBEJOHळ࿦จ঺հ

    "DDFMFSBUFE2VFSZ1SPDFTTJOH7JB

    4JNJMBSJUZ4DPSF1SFEJDUJPO 4*(*3

    'BTU"QQSPYJNBUF'JMUFSJOHPG4FBSDI3FTVMUT
    4PSUFECZ"UUSJCVUF 4*(*3

    גࣜձࣾϝϧΧϦ

    ઙ໺୎໵

    View full-size slide

  2. "DDFMFSBUFE2VFSZ1SPDFTTJOH7JB
    4JNJMBSJUZ4DPSF1SFEJDUJPO 4*(*3

    w 63-
    w IUUQTEMBDNPSHDJUBUJPODGN JE
    w ݚڀͷ໨త
    w సஔΠϯσοΫεܕͷݕࡧΤϯδϯͰUPQLͷΫΤϦॲཧΛ

    ߴ଎Խ͢Δ͜ͱ
    w ํ๏
    w ΫΤϦॲཧதͷಈతͳจॻͷࢬמΓ QSVOJOH
    ʹண໨͠ɺ

    ػցֶशΛԉ༻ͯ͠ΞϧΰϦζϜΛվળ

    View full-size slide

  3. લఏ
    w ҰൠతͳసஔΠϯσοΫεΛ૝ఆ
    w λʔϜͱϙεςΟϯάϦετ͕อଘ͞Ε͍ͯΔ
    w ϙεςΟϯάϦετʹ͸จॻ*%ʢιʔτࡁΈʣͷू߹͕ೖ͍ͬͯΔ
    w λʔϜ͝ͱͷ࠷େείΞͳͲͷิॿతͳσʔλ΋֨ೲͰ͖Δͱ͢Δ
    w ͜ͷݚڀͰԾఆ͢ΔείΞؔ਺
    w جຊతʹ͸#.Λ૝ఆ
    w ΫΤϦʹؚ·ΕΔ֤λʔϜͷߩݙͷ଍͠߹Θͤ

    View full-size slide

  4. ΫΤϦॲཧ
    w EPDVNFOUBUBUJNF %""5
    ʹΑΔΫΤϦॲཧΛ૝ఆ
    w λʔϜ͝ͱʹϙεςΟϯάϦετΛॲཧ͢ΔͷͰ͸ͳ
    ͘ɺෳ਺ͷϙεςΟϯάϦετΛಉ࣌ʹΧʔιϧͰॲཧ
    w ͢΂ͯͷΧʔιϧΛҰ൪લʹηοτ͠ɺͦͷจॻͷΫΤ
    Ϧॲཧ͕ऴΘͬͨΒޙΖʹͣΒ͢
    w ͢΂ͯͷΧʔιϧ͕࠷ޙ·Ͱ͍ͬͨΒऴྃɺUPQLͷจ
    ॻू߹Λฦ͢

    View full-size slide

  5. ಈతࢬמΓʹΑΔΫΤϦॲཧ
    w ΫΤϦॲཧதʹɺͦΕ·Ͱʹॲཧͨ͠จॻͷUPQLͷείΞ Λܭࢉɾอ࣋͢Δʢ੨ઢʣ
    w ࠷ऴతʹ ʹऩଋ͢Δ
    w จॻͷείΞͷVQQFSCPVOEΛܭࢉ͢Δ
    w λʔϜ͝ͱͷ࠷େείΞ NBYTDPSF
    ΛΠϯσοΫεʹอଘ͓ͯ͘͠ͳͲ
    w VQQFSCPVOE͕ᮢ஋ ΑΓখ͍͞είΞͷจॻ͸҆શʹεΩοϓͰ͖Δ
    w ͜ͷํ๏͸ϩεϨεɺͭ·Γਖ਼֬ͳUPQLͷจॻ͕ಘΒΕΔ
    θ
    Θk
    θ

    View full-size slide

  6. طଘͷಈతࢬמΓΞϧΰϦζϜ
    w ޮ཰తͳΫΤϦॲཧͷํ๏ͱͯ͠.BY4DPSF 8"/%
    #.8 CMPDLNBY8"/%
    ͕͋Δ
    w ͢΂ͯجຊతͳઓུ͸લड़ͷಈతࢬמΓͱಉ͡
    w 8"/%͸ݡ͍ΞϧΰϦζϜͰ.BY4DPSFΑΓͨ͘͞Μ
    εΩοϓͰ͖ΔΑ͏ʹ͍ͯ͠Δ
    w #.8 CMPDLNBY8"/%
    ͸8"/%ΛϒϩοΫԽ͠ɺ
    ֤ϒϩοΫʹ౷ܭ৘ใΛ΋ͭΑ͏ʹ͞Βʹվྑͨ͠΋ͷ

    View full-size slide

  7. ͜ͷݚڀͷఏҊख๏
    w ͢΂ͯͷจॻʹ͍ͭͯΫΤϦॲཧ͢Δͱɺ ͸ɺUPQLείΞ ʹऩଋ͢Δ
    w ػցֶशΛ࢖ͬͯΫΤϦͷಛ௃ྔ͔Β࠷ऴతͳᮢ஋ Λ༧ଌ͢Δʢ੺ઢʣ
    w ͜ΕʹΑΓɺଟ͘ͷจॻΛεΩοϓͰ͖ΔΑ͏ʹͳΔߴ଎ԽͰ͖Δ
    θ Θk
    (D, Q)
    Θk
    (D, Q)

    View full-size slide

  8. 3FTFBSDI2VFTUJPOT
    w 32
    w సஔΠϯσοΫεΛॲཧ࢝͠ΊΔલʹ ΛਪఆͰ͖Δ͔ʁ
    w 32
    w ΋͠લ΋ͬͯ ΛਪఆͰ͖ΔͳΒɺͦͷࣄલ஌ࣝʹΑͬͯ

    Ͳͷఔ౓ΫΤϦॲཧΛ଎͘Ͱ͖Δ͔ʁ
    w 32
    w ͷࣄલ஌ࣝΛ࢖ͬͯ.BY4DPSFɺ8"/%ɺ#.8ͷΑ͏ͳख๏
    ΛվྑͰ͖Δ͔ʁ
    Θk
    (D, Q)
    Θk
    (D, Q)
    Θk
    (D, Q)

    View full-size slide

  9. ΦϥΫϧʢਆୗʣΛ࢖࣮ͬͨݧ
    w 32΋͠લ΋ͬͯ ΛਪఆͰ͖ΔͳΒɺͦͷࣄલ஌ࣝʹΑͬͯͲͷఔ
    ౓ΫΤϦॲཧΛ଎͘Ͱ͖Δ͔ʁ΁ͷճ౴
    w ΛΫΤϦॲཧͷલʹܭࢉ͓͖ͯ͠ɺ֤ࢬמΓΞϧΰϦζϜʹᮢ஋ͱ͠
    ͯ౉ͯ͠͠·͏
    w ࠷దͳᮢ஋͕෼͔͍ͬͯΔঢ়ଶͰͷɺ."9ύϑΥʔϚϯεΛܭଌ
    w ࣮ݧ৚݅
    w (PWσʔληοτɺ ΫΤϦͰ࣮ߦ࣌ؒΛϛϦඵ୯ҐͰܭଌ
    w ࢬמΓΞϧΰϦζϜͱͯ͠.BY4DPSF 8"/% #.8ͷͭΛ࢖ͬͯൺֱ
    Θk
    (D, Q)
    Θk
    (D, Q)

    View full-size slide

  10. ΦϥΫϧʢਆୗʣΛ࢖࣮ͬͨݧ
    w ΦϥΫϧΛ࢖͏ͱϕʔεϥΠϯ
    ΑΓ΋ʙ΄Ͳߴ଎Խ
    w Λਖ਼֬ʹਪఆ͢Δ͜ͱͰɺ
    ߴ଎Խͷ༨஍͕͋Δʂ

    Θk
    (D, Q)

    View full-size slide

  11. ֬཰Ϟσϧϕʔεͷᮢ஋༧ଌ
    w ֬཰ϞσϧΛ࢖ͬͨ༧ଌ
    w ༧ଌ࣌ؒࠐΈͰશମͷΫΤϦॲཧΛ଎͘͠ͳ͍ͱ͍͚ͳ͍ͷͰɺγϯϓϧͳϞσϧͰ
    w ͷ෼෍͕Ψ΢ε෼෍Ͱ͋ΔͱԾఆ͠ɺύϥϝʔλΛֶशͯ͠༧ଌ෼෍ͱ͢Δ
    w ͦͷ෼෍ͷ্Ͱ࠷దͳ Λਪఆ͢Δʢ ʣ
    Θk
    ̂
    Θk
    q = ?

    View full-size slide

  12. w PWFSFTUJNBUFͨ͠ͱ͖ʹΑΓϖφϧςΟΛ༩͍͑ͨ
    w ֬཰Ϟσϧʹଛࣦؔ਺Λ૊Έ߹ΘͤΔ
    w ࠓճ͸PWFSFTUJNBUFͨ͠ͱ͖ͷଛࣦΛ ഒͱ
    ͢ΔΑ͏ͳઢܗͷଛࣦؔ਺ʢ੨ઢʣΛߟ͑Δ
    α
    ֬཰Ϟσϧϕʔεͷᮢ஋༧ଌ
    w .JOJNVN#BZFT3JTL .#3

    w ༧ଌ෼෍ͷ্Ͱɺଛࣦͷظ଴஋͕࠷খͱ
    ͳΔΑ͏ͳ Λબ୒Ͱ͖Δ
    w ࠷దͳ ͸ ͷRVBOUJMFͱͳΔ
    ͜ͱ͕ূ໌͞Ε͍ͯΔ<>
    w ͨͱ͑͹ɺ ͷͱ͖RVBOUJMF
    ࢛෼Ґ఺
    ͕࠷ద
    w Ϟσϧʹ͸#BZFTJBO-JOFBS3FHSFTTJPO
    #-3
    Λ࢖ͬͨ
    w ղੳతʹʢดܗࣜͰʣղ͕ٻΊΒΕΔͷ
    Ͱߴ଎ʹܭࢉͰ͖Δ
    ̂
    Θk
    ̂
    Θk
    1/(α + 1)
    α = 3
    <>1'$ISJTUP⒎FSTFOBOE'9%JFCPME0QUJNBMQSFEJDUJPOVOEFSBTZNNFUSJDMPTT&DPOPNFUSJD5IFPSZ
    r

    View full-size slide

  13. ଛࣦϕʔεͷᮢ஋༧ଌ
    w ଛࣦؔ਺Λ࢖ͬͨػցֶशϞσϧ΋ߟ͑Δ
    w ༩͑ΒΕͨଛࣦؔ਺ʹରͯ͠௚઀ֶश
    w ଛࣦؔ਺ʹ͸ඇରশʹͨ͠)VCFSMPTTΛ࠾༻
    w ඍ෼Մೳ
    w ϚϧνϨΠϠʔύʔηϓτϩϯ .-1

    w .-1-

    ૚ʢӅΕ૚͕ʣͷ.-1
    w .-1-

    ૚ʢӅΕ૚͕ʣͷ.-1
    w ͍ͣΕ΋$16Ͱޮ཰తʹܭࢉՄೳ

    View full-size slide

  14. Ϟσϧͷֶश
    w Ϟσϧͷֶशʹ࢖ͬͨΫΤϦϩά
    w .JDSPTPGU2VFSZMPH
    w ΫΤϦ
    w σʔληοτ
    w (PWສ݅
    w $MVF8FC#ສ݅
    w ֶशࡁΈϞσϧͷ༧ଌ଎౓
    w NT .-1-

    w NT .-1-

    w NT #-3

    w ͍ͣΕ΋NTҎ಺ͳͷͰे෼଎͍
    ֶशʹ࢖ͬͨಛ௃ྔ

    View full-size slide

  15. ਪఆͨ͠ᮢ஋Λ࢖ͬͨ

    ΫΤϦॲཧ
    PWFSFTUJNBUFͯͨ͠Β࠶ܭࢉ
    ώʔϓαΠζ͕༰ྔʢLݸʣΛ௒͑ͨͱ͖ͷॲཧ
    ώʔϓͷ࠷খείΞΑΓେ͖͚Ε͹ώʔϓʹೖΕΔ
    είΞͷVQQFSCPVOE͕ Λ௒͑Δ

    จॻ͚ͩείΞܭࢉ
    θ
    ᮢ஋ͷ༧ଌ஋ Λ ͷॳظ஋ͱ͢Δ
    ̂
    Θk
    θ

    View full-size slide

  16. "MHPSJUINʹΑΔ

    ΫΤϦॲཧͷ࣮ߦ଎౓
    ϕʔε

    ϥΠϯ
    ϕʔε

    ϥΠϯ
    ύʔηϓτϩϯ #BZFTJBO-JOFBS3FHSFTTJPO
    গ͚ͩ͠଎͘ͳͬͨ

    View full-size slide

  17. "MHPSJUIN͕஗͍ཧ༝
    w PWFSFTUJNBUFͨ͠ͱ͖ʹ
    ࠶ܭࢉ͕૸Δ
    w ͜Ε͕ॏ͍

    View full-size slide

  18. "MHPSJUINʢվྑ൛ʣ
    w ໰୊ʹͳ͍ͬͯΔλʔϜͷ૊Έ߹Θͤ
    ʢαϒΫΤϦʣΛܭࢉ
    w αϒΫΤϦʹϚον͢Δจॻ͚ͩ

    ݟΕ͹Α͍
    w จॻ͕͔ͳΓߜΕΔͷͰߴ଎ʹ

    ࠶ܭࢉՄೳ

    View full-size slide

  19. "MHPSJUINʹΑΔ

    ΫΤϦॲཧͷ࣮ߦ଎౓
    w தԝ஋Ͱ࠷େͰ଎͘ͳͬͨ
    w ͨͩ͠ಉ͡ Ͱൺ΂ͨͱ͖
    w ࠷ద஋ͱൺ΂Δͱ͘Β͍
    w "MHPSJUIN͸RVBOUJMF͕େ͖͍

    ʢΞάϨογϒͳʣ΄͏͕଎͍
    q = 0.5

    View full-size slide

  20. 3FTFBSDI2VFTUJPOT
    w 32
    w సஔΠϯσοΫεΛॲཧ࢝͠ΊΔલʹ ΛਪఆͰ͖Δ͔ʁ
    w ˠώʔϓͷᮢ஋͕༧ଌՄೳͰ͋Δ͜ͱΛࣔͨ͠
    w 32
    w ΋͠લ΋ͬͯ ΛਪఆͰ͖ΔͳΒɺͦͷࣄલ஌ࣝʹΑͬͯ

    Ͳͷఔ౓ΫΤϦॲཧΛ଎͘Ͱ͖Δ͔ʁ
    w ˠಈతࢬמΓΞϧΰϦζϜͷ଎౓͕Ҏ্վળ͢Δ͜ͱΛࣔͨ͠
    w 32
    w ͷࣄલ஌ࣝΛ࢖ͬͯ.BY4DPSFɺ8"/%ɺ#.8ͷΑ͏ͳख๏ΛվྑͰ͖Δ͔ʁ
    w ˠ͢΂ͯͷख๏ͰΞϧΰϦζϜతͳվળ͕ՄೳͰ͋Δ͜ͱΛࣔͨ͠
    Θk
    (D, Q)
    Θk
    (D, Q)
    Θk
    (D, Q)

    View full-size slide

  21. ײ૝
    w ܾఆతͳํ๏ʢ Λ࢖͏ϕʔεϥΠϯʣͰ΋े෼Ͱ͸ʁ
    w 5BCMFΛΈΔͱɺϕʔεϥΠϯ͔Βͷࠩ͸ͦΕ΄Ͳେ͖͘ͳ͍
    w "MHPSJUINͰଟগվળ͢Δͱ͸͍͑ɺࠩ෼͸͍͍ͤͥఔ౓
    w ࢬמΓΞϧΰϦζϜͷࠩͷ΄͏͕େ͖͍
    w ࢓૊Έ͕γϯϓϧͳ ͷ΄͏͕औΓճ͠΍͍͢ʢػցֶश͍Βͳ͍͠ʣ
    w ΋ͬͱ͍͍ϞσϧΛ࡞ΕΔ༨஍͸͋Δ
    w ಛ௃ྔ΍ػցֶशΞϧΰϦζϜͷվળ͕Մೳ
    w ਅͷᮢ஋ʢΦϥΫϧʣʹ͚ۙͮ͹ͦΕͳΓʹ଎͘ͳΔ
    Qk
    Qk

    View full-size slide

  22. 'BTU"QQSPYJNBUF'JMUFSJOHPG4FBSDI
    3FTVMUT4PSUFECZ"UUSJCVUF 4*(*3

    w 63-
    w IUUQTEMBDNPSHDJUBUJPODGN JE
    w ໰୊ઃఆ
    w ଐੑʹΑΔιʔτॱΛकΓͳ͕Β%$(ͷΑ͏ͳϝτϦοΫΛ࠷దԽ͢Δ໰୊
    w ͜ͷݚڀͷ੒Ռ
    w ߴ଎ʹ΄΅࠷దͳ݁ՌΛฦ͢ΞϧΰϦζϜΛఏҊ
    w ۙࣅʹΑΔΤϥʔ཰ͱ࠷ѱ࣌ؒܭࢉྔͷཧ࿦อূ͋Γ
    w ࣮ݧతʹ΋ߴ଎ੑͱΤϥʔ཰ͷόϥϯε͕Α͍͜ͱ͕ࣔ͞Εͨ

    View full-size slide

  23. ໰୊ઃఆ'JMUFSJOH!L
    w ௨ৗɺϢʔβ͕ݕࡧͰཉ͍͠ͷ͸
    SFMFWBODFΛ࠷େԽͨ͠4&31
    w 8FCݕࡧɺ4/4ɺετϦʔϛϯά
    αʔϏεɺ&$αΠτͳͲ
    w ଟ͘ͷαʔϏεͰ͸ɺଐੑʢ࣌ؒ΍Ձ֨
    ͳͲʣʹΑΔιʔτʹରԠ͍ͯ͠Δ
    w ͨͱ͑͹"NB[POͰJQIPOFͷݕࡧ݁
    ՌΛՁ֨ͷ͍҆ॱʹ͢ΔͱSFMFWBODFͷ

    ௿͍ΞΠςϜ্͕ʹདྷΔͨΊɺϢʔβମ
    ݧΛଛͳ͏
    BNB[PODPKQͰՁ֨ͷ͍҆ॱͰJQIPOFΛݕࡧ

    ʢՈిˍΧϝϥΧςΰϦʣ

    View full-size slide

  24. ໰୊ઃఆ'JMUFSJOH!L
    w 'JMUFSJOH!L
    w SFMFWBODFͷϦετ ʢॱং͖ͭʣ͕

    ༩͑ΒΕΔ
    w ϝτϦοΫ2Λ࠷େԽ͢Δɺ࠷େL݅ͷ෦෼Ϧετ

    Λฦ͢
    R = < r1
    , . . . , rn
    >

    View full-size slide

  25. 0QUJNBM'JMUFSJOH 015

    w ࣌ؒܭࢉྔ Ͱ࠷దͳ݁Ռʢۙࣅͳ͠ʣΛܭࢉͰ͖Δ
    w ಈతܭը๏ʢϝϞԽʣΛ࢖ͬͯܭࢉ
    w O L͕େ͖͘ͳΔͱ஗͍
    Θ(nk)

    View full-size slide

  26. ώϡʔϦεςΟΫεʹΑΔํ๏
    w $VUP⒎015
    w ͋Β͔͡ΊܾΊͨSFMFWBODFͷᮢ஋ͰϑΟϧλ͔ͯ͠Β015Ͱ͞ΒʹϑΟϧλ
    w ࠷ѱέʔεͰ͸Τϥʔ཰ʢਫ਼౓ʣͷอূ͕ͳ͍
    w ᮢ஋ͷઃఆʹΑΔͨΊ
    w ࣌ؒܭࢉྔ͸վળͤͣ࠷ѱέʔεͰ
    w 5PQL015
    w UPQLͷϦετΛٻΊɺͦΕΛ͞Βʹ015ͰϑΟϧλ͢Δ
    w LݸະຬͷϦετʹ͢Δ͜ͱͰϝτϦοΫΛ࠷େԽͰ͖Δ͜ͱ΋͋ΔͨΊ
    w PQUJNBMʢۙࣅʹΑΔΤϥʔ཰͕ʣͰ͋Δ͜ͱ͕ূ໌Ͱ͖Δ
    w ࣌ؒܭࢉྔ͸࠷ѱͰ
    Θ(nk)
    Θ(n log k + k2)

    View full-size slide

  27. Џ'JMUFSJOH
    w $VUP⒎΍5PQLͳͲͷώϡʔϦεςΟΫεͰ͸Τϥʔ཰ΛίϯτϩʔϧͰ͖ͳ͍
    w Џ'JMUFSJOH͸Τϥʔ཰ΛЏҎԼʹอূͨۙ͠ࣅղΛɺ

    ࣌ؒܭࢉྔ Ͱݟ͚ͭΔʢ ʣ
    w Џ'JMUFSJOH͸ҎԼͷεςοϓ͔ΒͳΔ
    w 3JHIUQSVOJOH
    w %JTDSFUJ[BUJPO
    w 5ISFTIPMEJOH
    w ֤ϑΣʔζͰى͜Γ͏Δ࠷ѱέʔεʹɺޙͷϑΣʔζͰରԠ͢Δ͜ͱͰ

    ܭࢉ࣌ؒΛ࡟͍ͬͯ͘
    Θ(n + k2 log(1−ϵ)
    (ϵ/k)) 0 < ϵ < 1

    View full-size slide

  28. ࣮ݧ݁Ռ
    w Џ'JMUFSJOH͸5PQL015ͱݞΛฒ΂Δ଎͞Ͱɺখ͍͞Τϥʔ཰Λୡ੒͍ͯ͠Δ
    w Џ'JMUFSJOHͷ ɺ Ͱ͸Τϥʔ཰Λ΄΅ʹ཈͑ͳ͕Β015ΑΓ΋அવ଎͍
    ϵ = 0.01 ϵ = 0.001

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