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Research Paper Introduction in IR Reading 2021 Fall

Takuya Asano
October 30, 2021

Research Paper Introduction in IR Reading 2021 Fall

PTHash: Revisiting FCH Minimal Perfect Hashing (SIGIR 2021)
https://dl.acm.org/doi/10.1145/3404835.3462849

Takuya Asano

October 30, 2021
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  1. 5BLVZB"TBOP UBLVZBB

    15)BTI3FWJTJUJOH'$).JOJNBM
    1FSGFDU)BTIJOH 4*(*3

    *33FBEJOH'BMM

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  2. .JOJNBM1FSGFDU)BTI'VODUJPOT .1)'

    /PDPMMJTJPOT NJOJNVNTJ[FIBTIUBCMF
    )BTI'VODUJPO
    1FSGFDU

    )BTI'VODUJPO
    .JOJNBM1FSGFDU

    )BTI'VODUJPO

    .1)'

    WJB8JLJQFEJB

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  3. ,OPXO.1)'"MHPSJUINT
    '$)

    'PY $IFO )FBMUI

    $POTUSVDUJPOUJNFJTTMPXGPSBTNBMMQBSBNFUFSD
    -BSHFWBMVFPGDXBTUFTQBDF
    7FSZGBTUMPPLVQ
    $)%

    DPNQSFTTFEIBTIBOEEJTQMBDF

    $POTUSVDUJPOUJNFJTTMPXGPSBMBSHFQBSBNFUFSЕ
    4VDDJODU
    .PTUTMPXMPPLVQJOUIJTMJTU
    &.1)' &
    ffi
    DJFOUDPOTUSVDUJPOVTJOHSBOEPNIZQFSHSBQI
    4MPXMPPLVQ
    (07
    4PMWFSBOEPNMJOFBSTZTUFNTUPDPOTUSVDU.1)'
    6TF(BVTTJBOFMJNJOBUJPOUPTPMWFJU
    .PEFSBUFMPPLVQTQFFE
    ##)BTI
    7FSZGBTUDPOTUSVDUJPO
    .PEFSBUFMPPLVQ
    *ODSFBTFQBSBNFUFSЍ TQFFEVQDPOTUSVDUJPOBOEMPPLVQUJNF
    3FD4QMJU

    SFDVSTJWFTQMJU

    4QMJUUIFLFZTJOUPBUSFFPGCVDLFUTSFDVSTJWFMZ
    4VDDJODU WFSZDPNQBDUSFQSFTFOUBUJPO
    .PEFSBUFTMPXMPPLVQ
    1BSBNFUSJ[FECZM CMDLTJ[FPGCVDLFU
    BOEC CVDLFUBWFSBHFTJ[F
    UIBUUSBEFTDPOTUSVDUJPO
    UJNF TQBDF BOEMPPLVQUJNF

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  4. ,OPXO.1)'"MHPSJUINT
    0WFSBMM$PNQBSJTPOBUBHMBODF

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  5. .1)'1SPT$POT
    1SPT
    w 4QBDFF
    ffi
    DJFOU
    w /FFEBOBEEJUJPOBMGFXCJUTLFZUPSFQSFTFOU.1)
    w 'BTUMPPLVQUJNF
    w 0
    BOETNBMMDPOTUBOUUJNF OTLFZ

    $POT
    w *NNVUBCMF TUBUJD

    w %ZOBNJDDPOTUSVDUJPOPG.1)'JTEJ
    ff i
    DVMU
    w 7FSJGZOFFEFE
    w 6OBCMFUPEFUFDUJGBLFZFYJTUTPSOPU
    w /FFEUPTUPSFLFZTJUTFMGGPSWFSJGZJOHLFZT

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  6. .1)'$POTUSVDUJPOCZ'$)"MHPSJUIN
    '$)ʹΑΔ.1)'ͷߏங͸ҎԼͷεςοϓͰߦΘΕΔ
    .BQQJOH
    0SEFSJOH
    4FBSDIJOH

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  7. .1)'$POTUSVDUJPOCZ'$)"MHPSJUIN
    .BQQJOHTUFQ
    OݸͷΩʔΛͦΕΑΓগͳ͍όέοτ
    ʹৼΓ෼͚Δ
    w ଟ਺ͷΩʔΛগ਺ͷόέοτʹ
    w গ਺ͷΩʔΛଟ਺ͷόέοτʹ

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  8. .1)'$POTUSVDUJPOCZ'$)"MHPSJUIN
    0SEFSJOHTUFQ
    όέοτΛͦͷதʹೖͬͯΔΩʔ਺ͷ
    ߱ॱͰιʔτ͢Δ
    ʢ͜ͷ͋ͱͷ4FBSDIJOHεςοϓͰ
    ͸ɺΩʔ਺͕ଟ͍όέοτ͔Βॱ൪ʹ
    ॲཧΛߦ͏ʣ

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  9. .1)'$POTUSVDUJPOCZ'$)"MHPSJUIN
    4FBSDIJOHTUFQ
    ิॿతͳσʔλߏ଄Λ࢖͍ɺϋογϡ
    ςʔϒϧ্Ͱিಥ͕ى͜Βͳ͍Α͏ͳ
    ύϥϝʔλT CJ EJΛ୳ࡧ͢Δ

    ʢόέοτ͝ͱʹϋογϡ஋ͷγϑτ
    ྔΛͣΒ͠ͳ͕Β୳ࡧ͢Δʣ
    όέοτJͷΩʔYͷϋογϡςʔϒ
    ϧ্ͷҐஔ͸ҎԼͰܭࢉ͢Δɿ

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  10. 15)BTI

    3BOEPN%JTQMBDFNFOUCZ903
    w 15)BTI͸'$)ͷ4FBSDIJOHεςο
    ϓΛվྑ
    w όέοτJͷΩʔYͷϋογϡςʔϒϧ
    ্ͷҐஔΛܭࢉ͢ΔͷʹҎԼΛ࢖͏
    w Ϗοτ903ԋࢉ
    w όέοτ͝ͱͷύϥϝʔλLJΛ୳ࡧ
    w LJ͸ ʜͱ͍͏ॱ൪Ͱ୳ࡧ
    w 903ʹΑͬͯΩʔ͕޿͍ൣғʹ෼ࢄ
    ͢ΔͷͰLJͷظ଴஋͸খ͘͞ͳΔ
    w Τϯτϩϐʔ͕খ͘͞ͳΓɺΑΓѹ
    ॖͰ͖Δ

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  11. 15)BTI

    'SPOU#BDL$PNQSFTTJPO
    w લͷͨ͘͞ΜΩʔ͕ೖͬͨόέοτͱɺޙΖͷΩ
    ʔ͕গͳ͍όέοτ͕͋Δ
    w લͷόέοτͷLJͷΤϯτϩϐʔ͸খ͍͞
    w લ GSPOU
    ͱޙΖ CBDL
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    ͷූ߸ԽํࣜΛม͑Δ͜ͱͰ࠷దԽͰ͖Δ

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  12. 15)BTI

    &ODPEJOH
    w LJͷΤϯτϩϐʔ͕খ͍͞ͷͰɺࣙॻࣜͷූ߸ԽํࣜΛ࢖͏ͱখ͘͞ͳΔ
    w LJͷϢχʔΫͳ஋ͷࣙॻΛผʹอଘ
    w ഑ྻ1͸͜ͷࣙॻ%΁ͷࢀরͷ഑ྻͱͳΔ
    w ࣙॻ%͸े෼খ͘͞ͳΔͷͰɺ$16ͷΩϟογϡʹ৐Δ͜ͱ͕ظ଴Ͱ͖Δ
    w ݕࡧύϑΥʔϚϯε΁ͷӨڹ͸খ͍͞
    w ·ͨɺ͖͞΄ͲͷGSPOUCBDLѹॖͱ΋ซ༻Ͱ͖Δ
    w ࣙॻࣜූ߸ԽҎ֎ʹ΋&MJBT'BOP΍4JNQMF%FOTF$PEJOH 4%$
    ͳͲ΋ߟ͑ΒΕΔ
    w ѹॖ཰͸ߴ͍͕ݕࡧ͸஗͘ͳΔ

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  13. 15)BTI

    -JNJUJOHUIF-PBE'BDUPS
    w ࠷ޙͷ΄͏ͷόέοτͰͷLJͷ୳ࡧ͕஗͍
    w ϋογϡςʔϒϧ্ʹ༨৒ͷྖҬΛ֬อ
    w ͜ͷ༨৒ྖҬʹࣸ૾͞ΕΔΩʔΛϓϩΩγ͢Δ
    w ͜ͷσʔλߏ଄Λ഑ྻGSFFͱͯ͠อଘ
    w ΞϧΰϦζϜ্ɺ෼ذ͸૿͑Δ͕ɺ͜ͷ༨৒
    ྖҬ͸খͯ͘͞ྑ͍ʢOͷ਺ͱ͔ʣͷͰɺ෼
    ذ༧ଌ͕΄ͱΜͲ౰ͨΔͨΊݕࡧ଎౓΁ͷӨ
    ڹ͸খ͍͞

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  14. $PWFSBMM$PNQBSJTPO
    w 15)BTI͸'$)ฒͷ଎౓Λୡ੒
    w '$)ΑΓߏங଎౓͕ඈ༂తʹ޲্
    w ූ߸Խํࣜʢ%ࣙॻࣜɺ&'&MJBT'BOPʣ΍
    ༨৒ྖҬΛͲΕ͘Β͍औΔ͔ʢЋʣͱ͍͏ύ
    ϥϝʔλʹΑͬͯύϑΥʔϚϯεΛௐ੔Մೳ
    w ූ߸Խํࣜʹ&MJBT'BOPΛ࢖͏͜ͱͰɺݕ
    ࡧ଎౓͸ͦΕ΄Ͳ٘ਜ਼ʹͤͣɺαΠζ͕͔ͳ
    Γখ͘͞ͳΔʢCJUTLFZʣ
    15)BTIWT'$) FUD

    View Slide

  15. .Z5IPVHIUT
    w Ωʔ͕࣮֬ʹࣙॻʹೖ͍ͬͯΔ͜ͱ͕Θ͔͍ͬͯΔϢʔεέʔε͸গͳ͍Α͏ʹࢥ͏
    w ͢ΔͱΩʔ΍Ωʔ΁ͷΦϑηοτΛผ్อଘ͢Δ͜ͱʹͳΓɺ.1)'͕খ͍͜͞ͱʹΑΔϝϦοτ͕ബΕͯ͠·͏
    w ͜Ε͸.1)'ͦͷ΋ͷͷϢʔεέʔεͷ࿩
    w ͱ͸͍͑஌͍ͬͯΔͱ࢖͍ॴ͕͋Δ͔΋
    w ݕࡧ͕଎͍ͷ͸͏Ε͍͠
    w ࣮ݧͰ͸OTLFZҎԼͰݱঢ়τοϓΫϥεͷ଎౓
    w ߏங͕஗͘େن໛ͳΩʔू߹ʹର࣮ͯ͠༻తͰͳ͍'$)Λআ͘ͱ࠷΋଎͍
    w ͕ɺOBOPTFDΦʔμʔͷϨΠςϯγ͕ٻΊΒΕΔϢʔεέʔε͕ͲΕ΄Ͳ͋Δͷ͔
    w ݕࡧ͕͢͜͠஗ͯ͘΋͍͍ͳΒ3FD4QMJUʢ࠷΋খ͘͞Ͱ͖Δʣ΍##)BTIʢߏங͕࠷΋଎͍ʣͰे෼

    ʢ஗͍ͱݴͬͯ΋OTLFZఔ౓ͳͷͰे෼଎͍ʣ
    w ͱʹ͔͘ݕࡧ଎౓͕ٻΊΒΕΔ৔߹ʹ͸ҖྗΛൃش͢ΔͷͰɺ͓͍֮͑ͯͯଛ͸ͳͦ͞͏
    w Ωʔͷ਺͕΋ͬͱଟ͘ͳͬͨͱ͖ʹߏங͕஗͘ͳΒͳ͍͔ʁ
    w O?͔ΒO?ʹ૿΍ͨ͠ͱ͖ʹɺ3FD4QMJU͸ߏங͕࣌ؒͪΐ͏Ͳഒ͘Β͍ʹͳ͍ͬͯΔ͕ɺ15)BTI͸਺ेഒʹͳ͍ͬͯΔ
    w Կʹ͕͔͔͍࣌ؒͬͯΔͷ͔

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