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トピックモデルによる分散表現獲得手法の提案
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Kento Nozawa
March 09, 2016
Research
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トピックモデルによる分散表現獲得手法の提案
2016年の言語処理学会の発表スライド
Kento Nozawa
March 09, 2016
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Transcript
τϐοΫϞσϧʹΑΔ ࢄදݱͷ֫ಘख๏ͷఏҊ ݈ਓ एྛ ܒ (ஜେֶ)
୯ޠͷࢄදݱ • ୯ޠΛີͳϕΫτϧۭؒͷ1ͱͯ͠දݱ • ୯ޠؒͷԋࢉ͕Մೳʢking - man + woman =
queenʣ ࣍ݩΛಛ͚Δ୯ޠΛ֫ಘͰ͖ΕදݱΑΓϦονʹ 2 ਤ1ɿ2࣍ݩۭؒʹ͓͚Δࢄදݱͷྫ
طଘݚڀ ࢄදݱͷ֫ಘϞσϧ • χϡʔϥϧωοτϫʔΫʹΑΔ༧ଌϞσϧ • ڞىߦྻͱߦྻղʹجͮ͘Ϟσϧ ࢄදݱͷղऍ [Faruqui+, 2015] •
ߴ࣍ݩͰૄϕΫτϧʹม • ಛྔͱͯ͠ղऍ͍͢͠ 3
ݚڀత 1. τϐοΫϞσϧʹΑΔ୯ޠͷࢄදݱͷ֫ಘ • ୯ޠΛ֬ͱϕΫτϧͱͯ͠ѻ͏ 2. ୯ޠϕΫτϧͱτϐοΫͷؔੑͷ֬ೝ • ୯ޠΛ֬Ͱදݱ͍ͯ͠ΔͨΊղऍ͍͢͠ 4
ఏҊख๏ʹ͓͚Δࢄදݱ֫ಘͷྲྀΕ 1. จॻσʔλͷಡΈࠐΈ 2. ୯ޠλΠϓΛڞى͢Δ୯ޠͷଟॏू߹Ͱදݱ 3. 1ଟॏू߹Λ1จॻͱΈͳ͠ɼLDAΛֶश 4. ୯ޠͷτϐοΫͱτϐοΫͷ୯ޠΛग़ྗ 5
୯ޠλΠϓΛڞى͢Δ୯ޠͷଟॏू߹Ͱදݱ 1୯ޠλΠϓΛͦͷલޙn୯ޠ͔ΒͳΔଟॏू߹Ͱදݱ จॻ1: ੨ ͷ Ξοϓϧ δϡʔε ͓͍͍͠ จॻ2:
ΦϥΫϧ ͱ Ξοϓϧ ΞϝϦΧ ͷ اۀ ͩ จॻ3:[ࢁས ͷ ͿͲ͏ δϡʔε ҿΈ ͍͢] ↓ Ξοϓϧ = [੨, ͷ, δϡʔε, , ΦϥΫϧ, ͱ, , ΞϝϦΧ] ྫɿલޙ2୯ޠͷ߹ 6
୯ޠλΠϓΛڞى͢Δ୯ޠͷଟॏू߹Ͱදݱ Ծઆ͔Βࣅͨ୯ޠࣅͨଟॏू߹ʹͳΓ͍͢ จॻ1: ੨ ͷ Ξοϓϧ δϡʔε ͓͍͍͠ จॻ2:
ΦϥΫϧ ͱ Ξοϓϧ ΞϝϦΧ ͷ اۀ ͩ จॻ3:[ࢁས ͷ ͿͲ͏ δϡʔε ҿΈ ͍͢] ↓ Ξοϓϧ = [੨, ͷ, δϡʔε, , ΦϥΫϧ, ͱ, , ΞϝϦΧ] ͿͲ͏ = [ࢁས, ͷ,δϡʔε, ] ྫɿલޙ2୯ޠͷ߹ 7
Latent Dirichlet Allocation • จॻͷ֬తੜϞσϧ [Blei+, 2003] • จॻͷ୯ޠͷڞىใ͔ΒτϐοΫΛൃݟ •
τϐοΫͰ͚݅ͮΒΕΔશ୯ޠͷ֬ • จॻͷ୯ޠͰ͚݅ͮΒΕΔτϐοΫͷ֬ 8 ػցֶश ػցֶशͱɺਓ ೳʹ͓͚Δݚ ڀ՝ͷҰͭͰɺ ਓ͕ؒࣗવʹߦͬ ͍ͯΔֶशೳྗͱ ಉ༷ͷػೳΛίϯ ϐϡʔλͰ࣮ݱʜ ݚڀ ՝ ࣝ Պֶऀ ʜ ػցֶश ਓೳ Ϟσϧ αϯϓϧ ʜ จॻσʔλ τϐοΫ τϐοΫͷ֬
LDAͷֶशʢτϐοΫ3ͷ߹ʣ ଟॏू߹Ͱදݱͨ͠1୯ޠΛ1จॻͱΈͳ͠ɼLDAΛֶश • ྫɿΞοϓϧ = [੨, ͷ, δϡʔε, , ΦϥΫϧ,
ͱ, , ΞϝϦΧ] 1. ୯ޠʢଟॏू߹ʣ͝ͱͷτϐοΫͷଟ߲ • ֬ͱϕΫτϧͱͯ͠ѻ͏ ྫɿΞοϓϧ = [0.3, 0.6, 0.1], ΦϥΫϧ = [0.6, 0.1, 0.3], ͿͲ͏ = [0.1, 0.7, 0.2] 2. τϐοΫ͝ͱͷ୯ޠͷଟ߲ ྫɿτϐοΫ1 = [ιϑτΣΞ:0.3, PC:0.2, ϓϩάϥϜ:0.1, …] τϐοΫ2 = [δϡʔε:0.4,ύΠ:0.2, ϑϧʔπ:0.1, …] τϐοΫ3 = [͕:0.2, ͷ:0.2, ʹ:0.1, …] 9
࣍ݩͷղऍ • ୯ޠͷτϐοΫͷ͕ߴ͍΄ͲɼͦͷτϐοΫΛͭ ྫɿΞοϓϧ = [0.3, 0.6, 0.1] τϐοΫͷ୯ޠͷ͕ߴ͍΄ͲɼτϐοΫΛಛ͚Δ୯ޠ τϐοΫ1
= [ιϑτΣΞ:0.3, PC:0.2, ϓϩάϥϜ:0.1, …] τϐοΫ2 = [δϡʔε:0.4, ύΠ:0.2, ϑϧʔπ:0.1, …] τϐοΫ3 = [͕:0.2, ͷ:0.2, ʹ:0.1, …] Ξοϓϧδϡʔε, ύΠ, ϑϧʔπͳͲͷ୯ޠͰಛ͚ΒΕΔ ͿͲ͏ = [0.1, 0.7, 0.2]ಉ༷ͷτϐοΫͰಛ͚ΒΕΔ ͿͲ͏ɼτϐοΫ2ͷҙຯͰΞοϓϧͱྨࣅ 10
ఏҊख๏ͷ·ͱΊ • ୯ޠλΠϓΛपғn୯ޠ͔ΒͳΔଟॏू߹ͱΈͳ͢ • ୯ޠλΠϓͷτϐοΫͷ֬ΛϕΫτϧͱͯ֫͠ಘ • τϐοΫ͔Β୯ޠλΠϓΛಛ͚Δ୯ޠΛநग़Մೳ 11
࣮ݧ
ֶशσʔλͱલॲཧ ֶशσʔλ 2010ͷӳޠ൛Wikipediaͷຊจهࣄͷ1/3 ҎԼͷલॲཧͷ݁Ռ112,635୯ޠλΠϓΛ༻ લॲཧ • ස͕100Ҏ্ͷ୯ޠͷΈΛ༻ • ඇӳࣈআ •
ࣈରԠ͢Δӳ୯ޠʹม • ߴසޠͷαϒαϯϓϦϯά [Mikilov+, 2013] 13
LDAͷֶशΞϧΰϦζϜͱύϥϝʔλ ֬తมϕΠζ๏Λ༻ֶ͍ͨशΞϧΰϦζϜ • ֬తޯ๏ʹجֶͮ͘श[Mimno+, 12] • 1ճͷ෮ܭࢉͰҰ෦ͷจॻ͚ͩΛ༻͍Δ σΟϦΫϨͷύϥϝʔλ α ͷֶशͷ༗ແ࣮ݧ
• α Λֶश͢ΔͱτϐοΫͷ·ͱ·Γ͕Α͘ͳΔ 14
ࢄදݱͷධՁํ๏ ධՁํ๏ • word similarityɿॱҐ૬ؔʹΑΔධՁ • apple tree 0.2 •
apple orange 0.7 • analogyɿਖ਼ղʹΑΔධՁ • man king woman queen ൺֱख๏ CBoWͱSkip–gram [Mikolov+, 2013] 15
ൺֱ࣮ݧͷ݁Ռ • word similarityͰ0.2~0.3ͷࠩ • analogyͰ0.4~0.5ͷࠩ cos: ίαΠϯྨࣅ js: δΣϯηϯγϟϊϯμΠόʔδΣϯε
16 XPSETJNJMBSJUZ BOBMPHZ EBUBTFU 84 844 843 .&/ .5 38 (PPHMF .43 $#P8 4LJQrHSBN ఏҊ๏ DPT ఏҊ๏ KT ද1ɿൺֱ࣮ݧͷ݁Ռ
τϐοΫͷղऍɿpython • pythonͷτϐοΫͷ֬θͷߴ্͍Ґ3τϐοΫʹ • ͦΕͧΕͷτϐοΫͷ͏ͪ֬ͷߴ্͍Ґ10୯ޠ • 880ɿऄͱʮMonty Pythonʯ • 145ɿϓϩάϥϛϯά
• 732ɿߴසޠ 17 UPQJD*% В Ћ DJSDVT BSDIJWF UIF TOBLF TPGUXBSF J NPOUZ XFC JU DPCSB QSPHSBNNJOH ZPV TLFUDI EBUBCBTF CF QBMJO CBTFE IBWF MJ[BSE WJEFP B FWFOJOH TFSWFS CVU HSBJM MJOVY JG WJQFS JOUFSGBDF DBO
τϐοΫͷղऍɿbow • bowͷτϐοΫͰα<0.2͔ͭ֬θͷߴ্͍Ґ3τϐοΫʹ • ͦΕͧΕͷτϐοΫͷ͏ͪ֬ͷߴ্͍Ґ10୯ޠ • 389ɿધɼඋͳͲ • 547ɿધ •
919ɿҥମͷ෦Ґ 18 UPQJD*% В Ћ BJSDSBGU TIJQ GBDF TQFFE TIJQT XPSO XFJHIU NFSDIBOU DBQ HVO QBUSPM TIPFT CVJMU CPBUT XFBST TIJQ OBWBM UJF NBDIJOF WFTTFMT XPSF QPXFS DSFX XFBS ESJWF DBSHP TIJSU TUFBN WFTTFM TIPVMEFS
·ͱΊ LDAʹΑΔࢄදݱͷ֫ಘख๏ • ֬ΛϕΫτϧͱΈͳ͢ • ϕΫτϧͱͯ͠ѻ͏͜ͱɼຊධՁͰෆ͖ • ֬ͰՃࢉݮࢉʹ૬͢Δૢ࡞͕ඞཁ • ϕΫτϧͷ࣍ݩͱτϐοΫ͕ରԠ
• ޠٛʹ͍ۙτϐοΫͷ֫ಘ • Word Sense InductionͷԠ༻ 19