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The first step of the Top-k Selection algorithm in search M3 tecktalk #164 hiromu-nakamura @po3rin

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தଜ߂෢ ΤϜεϦʔͷ"*ɾػցֶशνʔϜͰݕࡧج൫पΓ Λ୲౰͍ͯ͠Δɻ(P͕޷͖ɻ ֤छΞΧ΢ϯτQPSJOͰ΍ͬͯ·͢ɻ )*SPNV/BLBNVSB

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ݕࡧΤϯδϯ͸ΫΤϦΛड͚औΓɺυΩϡϝϯτ͝ͱʹ είΞܭࢉΛείΞ্ҐL݅Λฦ͢ɻ 4FBSDI&OHJOF ΫΤϦ L݅ͷείΞॱυ Ωϡϝϯτ

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&MBTUJDTFBSDIͳͲͷݕࡧΤϯδϯ͸ɺ୯ޠͷҐஔ৘ใΛ ֨ೲ͢ΔͨΊͷࡧҾσʔλߏ଄Ͱ͋ΔసஔΠϯσοΫε Λ࠾༻͍ͯ͠Δɻ 4FBSDI&OHJOF %ࢲ͸ম೑Λ৯΂Δ %ࢲ͸αϥμ΋৯΂Δ ʮম೑ʯ % సஔΠϯσοΫε

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ݕࡧʹ͓͚ΔυΩϡϝϯτͷείΞϦϯάʹ͸0LBQJ #.ͳͲ୅දతͳ΋ͷ͕͋ΔLɻ͜ΕΛݕࡧʹώοτ ͢ΔυΩϡϝϯτʹରͯ͠ܭࢉ͍ͯ͘͠ɻ 4DPSJOH

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υΩϡϝϯτશͯͷείΞϦϯά͕ऴ͔ྃͯ͠ΒͦΕΒΛฒ ͼସ͑Δͷ͸ϥϯΩϯά্ҐL൪໨·Ͱͷ݁Ռʹڵຯ͕͋Δ৔ ߹ඇޮ཰ɻͦ͜Ͱݕࡧʹ͓͚ΔLݸͷ࠷େཁૉʢ·ͨ͸࠷খ ཁૉʣΛબ୒͢Δ໰୊Λߟ͑Δɻ 5PQLTFMFDUJPO

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5PQL TFMFDUJPO ೋ෼ώʔϓʹυΩϡϝϯτͱείΞΛอ͍࣋ͯ͘͜͠ͱͰ࠷ ऴతͳιʔτͷίετΛεϧʔͰ͖Δɻώʔϓʹ֨ೲ͢Δ͔ ͸ࠜͷείΞ͚ͩݟΕ͹ྑ͍ɻ ೋ෼ώʔϓ

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5PQL TFMFDUJPO ࠓ·Ͱݕࡧʹώοτͨ͠શͯͷυΩϡϝϯτͷείΞΛܭࢉ ͍͕ͯͨ͠ɺ࣮͸είΞΛܭࢉ͠ͳͯ͘΋ɺ͋ΔυΩϡϝϯ τ͕UPQLʹೖΒͳ͍͜ͱΛ֬ఆͰ͖Δํ๏͕͋ΔɻͦΕ͕ NBYTDPSFͱݺ͹ΕΔख๏Ͱ͢ɻ .BYTDPSF

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ͷ໾ׂ͸ΫΤϦλʔϜͦΕͧΕͷείΞ΁ͷߩݙ౓ͷ্ݶ Λܾఆ͢Δ͜ͱɻ ͷܦݧతॳظ஋Λ࠾༻͢Δͱɺ5'஋ ্ࣜͷୈҼࢠ ͸ ͭ·ΓΛ௒͑ͳ͍ɻ*%'΋ࣄલ ʹܭࢉͰ͖Δɻ͜ΕʹΑΓ֤λʔϜ͕د༩͢Δ࠷େείΞ͸ ࣄલʹܾఆͰ͖ΔɻͦͷͨΊϥϯΩϯά্ҐʹݱΕͳ͍υ Ωϡϝϯτ͸͋Β͔͡ΊΘ͔Δɻ k1 k1 k1 + 1 4DPSJOH 5PQL TFMFDUJPO

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4DPSJOH λʔϜ .BY4DPSF UIF TFBSDI FOHJOF ͜ͷ࣌఺ͰzUIFzؚ͔͠·ͳ͍ϙεςΟϯάϦετͷείΞܭ ࢉ͸ແࢹͰ͖ΔɻͳͥͳΒ࠷େείΞ͸ݱࡏͷώʔϓͷࠜ ͷείΞΛ௒͑ͳ͍͔Βɻ 5PQL TFMFDUJPO

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4DPSJOH λʔϜ .BY4DPSF UIF TFBSDI FOHJOF ͜ͷ࣌఺Ͱ͸zUIFzͱzTFBSDIzؚ͔͠·ͳ͍υΩϡϝϯτͷε ίΞܭࢉ͸ແࢹͰ͖ΔɻͳͥͳΒ࠷େείΞ͸ݱࡏͷ ώʔϓͷࠜͷείΞΛ௒͑ͳ͍͔Βɻ 5PQL TFMFDUJPO

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*OUFSWBMCBTFEQSVOJOH TFBSDI FOHJOF %PDVNFOU ◾◾◾◾◾◾ ◾◾◾◾◾ NBY NBY TDPSF ͜ͷ࣌఺ͰzFOHJOFz͚͔ͩ͠ग़ݱ͍ͯ͠ͳ͍υΩϡϝϯτ͸ແࢹͰ͖Δ ͜ͷ࣌఺ͰzTFBSDIz͚͔ͩ͠ग़ݱ͍ͯ͠ͳ͍υΩϡϝϯτ͸ແࢹͰ͖Δ XBMLEPDT

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*OUFSWBMCBTFEQSVOJOH ࣮ફͰ͸ϙεςΟϯάϦετ͸ѹॖ͞Ε͍ͯΔͷͰϒϩοΫ αΠζ͝ͱʹNBYTDPSFΛอ࣋͠ ֤ϒϩοΫͷ۠੾ΓͷΠϯ λʔόϧʹ6QQFS#PVOE4DPSF 6#4 Λܭࢉ͓ͯ͘͠ɻ͜Ε ʹΑΓϒϩοΫղౚΛεΩοϓͰ͖Δɻ TFBSDI FOHJOF %PDVNFOU ◾◾◾◾◾◾ ◾◾◾◾ NBY NBY NBY NBY NBY 6#4

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$PODMVTJPO 5PQLTFMFDUJPOͰ͸ೋ෼ώʔϓͳͲͷσʔλߏ଄͕ར༻Ͱ͖Δɻ ݕࡧείΞʹ͓͚Δ֤λʔϜ͕ߩݙ͢ΔNBYTDPSF͸ࣄલʹܭࢉͰ͖ΔͷͰείΞܭࢉΛεΩοϓͰ͖Δɻ *OUFSWBMCBTFEQSVOJOHΛར༻͢Δ͜ͱͰѹॖΠϯσοΫε΋είΞܭࢉΛޮ཰తʹߦ͑Δɻ -VDFOFͰ͸ߋʹൃలܥͷ8"/%ͱ͍͏ΞϧΰϦζϜ͕ಋೖ͞Ε͍ͯΔɻ

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ࢀߟ -VDFOFͷ5PQLΫΤϦϓϩηογϯά࠷దԽ .BY4DPSFΞϧΰϦζϜฤ IUUQTMJOLNFEJVNDPN&I%"D$HRKDC 0LBQJ#. IUUQTKBXJLJQFEJBPSHXJLJ0LBQJ@#. ৘ใݕࡧݕࡧΤϯδϯͷ࣮૷ͱධՁ UUQTXXXBNB[PODPKQEQSFGDN@TX@FN@S@NU@EQ@$H'C&;7('9

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The first step of the Top-k algorithm in search M3 tecktalk #164 hiromu-nakamura @po3rin