Upgrade to Pro — share decks privately, control downloads, hide ads and more …

トピックモデル第2章

moyomot
December 22, 2015
250

 トピックモデル第2章

moyomot

December 22, 2015
Tweet

Transcript

  1. (VOPTZσʔλϚΠχϯάݚڀձ

    τϐοΫϞσϧʹΑΔ౷ܭతજࡏҙຯղੳ
    -BUFOU%JSJDIMFU"MMPDBUJPO
    ৿ຊ३࢘

    View Slide

  2. -BUFOU%JSJDIMFU"MMPDBUJPO
    ֓ཁ
    -%"ͷੜ੒աఔ
    ଟ߲෼෍ͱ%JSJDIMFU෼෍
    -%"ͷزԿֶతղऍ
    -%"ͷԠ༻ྫ
    આ໌ͷ౎߹্͋͑ͯٯస

    View Slide

  3. ֓ཁ
    w -BUFOU%JSJDIMFU"MMPDBUJPO -%"
    ౷ܭతજࡏҙຯղ
    ੳΛՄೳʹ͢Δ౷ܭϞσϧ
    w #BHPG8PSETͰ୯ޠͱग़ݱස౓ͷू߹ΛϞσϧԽ
    w #P8Ͱ͸౷ܭతʹڞى͠΍͍͢୯ޠΛදݱͰ͖Δʢ͸ͣʣ
    w -%"͸ڞىੑΛ਺ཧతʹදݱ͢Δ
    w จॻʹ͸જࡏతͳʢ௚઀؍ଌͰ͖ͳ͍ʣτϐοΫ͕͋Δ
    w જࡏτϐοΫΛ؍ଌͰ͖ͳ͍֬཰ม਺ͰఆࣜԽ
    w w w w w w w w w w
    w Ұͭͷจॻʹෳ਺ͷજࡏτϐοΫ͕ଘࡏ͢Δ
    w Ԡ༻ൣғ͸޿͍
    w Ϣʔβʔͷߪങཤྺ#BHPG*UFNT
    w ϢʔβʔͷهࣄӾཡཤྺ#BHPG/FXTBSUJDMFT

    View Slide

  4. w ୯ޠͷछྨ਺7
    w ୯ޠͷΠϯσοΫεू߹
    w τϐοΫLʹ͓͚Δ୯ޠWͷग़ݱ֬཰
    w ୯ޠͷग़ݱ෼෍
    w จॻʹ͸༷ʑͳτϐοΫʢܦࡁɺεϙʔπɺܳೳʣ͕ଘࡏ
    w τϐοΫ͝ͱʹ୯ޠͷग़ݱස౓͕ҟͳΔ㲗୯ޠͷग़ݱස౓͕τϐοΫͷಛ௃Λද͢
    w ྫʣ੓࣏ʹग़ͯ͘Δʮ೔ຊʯεϙʔπʹग़ͯ͘Δʮ೔ຊʯ
    w ͲͷΑ͏ʹ਺ཧతʹϞσϧԽ͢Δ͔ʢม਺Λ੔ཧʣ
    જࡏτϐοΫͷ਺ཧϞσϧԽ
    -%"ੜ੒աఔ
    τϐοΫ͸؍ଌͰ͖ͳ͍જࡏτϐοΫͱͯ͠ϞσϧԽ
    ˠજࡏτϐοΫ͝ͱͷ୯ޠͷग़ݱ෼෍ʹΑͬͯදݱ

    View Slide

  5. w lQMBZz͸ෳ਺ͷҙຯΛ࣋ͭ
    w εϙʔπɺԋܶɺԻָ
    w ਓ͕͜ΕΒͷҧ͍Λཧղ͢Δͷ͸༰қ
    w -%"Ͱ΋ಉ༷ʹҧ͍ΛදݱͰ͖Δˠʮ౷ܭతજࡏҙຯղੳʯ
    w τϐοΫͷજࡏతҙຯΛද͢ͷ͸ɺ୯ޠग़ݱ֬཰П
    w ग़ݱ֬཰ͷߴ͍ॱʹ୯ޠΛݟΕ͹τϐοΫ͕Θ͔Δ
    જࡏม਺ʹΑΔଟٛੑͷϞσϧԽ
    -%"ੜ੒աఔ

    View Slide

  6. จॻ਺. จॻEͷ૯୯ޠ਺OE จॻ͸ෳ਺ͷτϐοΫ͔Βߏ੒ τ
    ϐοΫ෼෍В ୯ޠͷग़ݱ෼෍П
    В П͸֬཰ϕΫτϧˠੜ੒͸֬཰ϕΫτϧ্ͷ֬཰෼෍Ͱ͋Δ
    %JSJDIMFU෼෍ʹै͏ͱԾఆ
    ఆࣜԽͱάϥϑΟΧϧϞσϧ
    -%"ੜ੒աఔ
    ୯ޠX જࡏτϐοΫ[͸཭ࢄ஋ͷͨΊɺଟ߲෼෍Λੜ੒෼෍ͱԾఆ
    Qਤ-%"ͷάϥϑΟΧϧϞσϧΛࢀর

    View Slide

  7. w ଟ߲෼෍ͷڞ໾ࣄલ෼෍͋Γɺ਺ֶతʹऔΓѻ
    ͍΍͍͢
    w จॻதͷ୯ޠͷग़ݱස౓͸ଟ߲෼෍ʹै͏
    w ڞ໾ɿ̎ͭΛೖΕ͔͑ͯ΋ੑ࣭ʹมԽ͕ى͜Βͳ͍Α͏ͳؔ܎
    w ୯ޠग़ݱ֬཰ͷภΓѻ͍΍͍͢Ϟσϧ
    w ͋ΔจষͰ୯ޠ͕ͰΔ֬཰͸Ұ༷Ͱ͸ͳ͘ɺภ͍ͬͯΔ
    ͳͥ%JSJDIMFU෼෍Λ࠾༻͔ͨ͠
    ଟ߲෼෍ͱ%JSJDIMFU෼෍

    View Slide

  8. w දͷग़Δ֬཰͕КͷίΠϯΛ/ճ౤͛ͨ࣌ɺද͕ग़Δճ਺Oͷ֬཰෼෍
    ೋ߲෼෍ͱଟ߲෼෍
    ଟ߲෼෍ͱ%JSJDIMFU෼෍
    w OճͷࢼߦͰ֤஋ͷग़ݱճ਺OLʹڵຯ͕͋Δ৔߹ͷ֬཰෼෍

    View Slide

  9. w ֊૚ϕΠζϞσϧͱݺ͹ΕΔ֊૚తͳ֬཰Ϟσϧ
    w Кʹؔ͢Δ֬཰෼෍
    %JSJDIMFU෼෍
    ଟ߲෼෍ͱ%JSJDIMFU෼෍
    w ΨϯϚؔ਺ͷੑ࣭

    View Slide

  10. w Q Y
    ΛQ ZcY
    ͷࣄલ෼෍ͱ͢Δɻࣄޙ෼෍Q YcZ
    㲍Q ZcY
    Q Y
    ͷ෼෍͕
    Q Y
    ͱಉ͡෼෍ʹͳΔͱ͖ɺQ Y
    ͸Q ZcY
    ͷڞ໾ࣄલ෼෍Ͱ͋Δͱ͍͏
    ॏཁʂ͓֮͑ͯ͜͏
    ଟ߲෼෍ͱ%JSJDIMFU෼෍
    w ม਺ͷҙຯ߹͍͸ҟͳΔଟ߲෼෍ͱ%JSJDIMFU෼෍ͷߏ଄͸Α͘
    ࣅ͍ͯͯɺ਺ֶతͳऔΓѻ͍΍༻ҙʹͳΔ
    w ࣄલ෼෍ʹ͓͚ΔЋL͸ࣄޙ෼෍Ͱ͸LͷݱΕͨස౓OLʹΑͬͯ
    ՃࢉɻЋL͸σʔλΛ؍ଌ͢ΔલͷLͷԾ૝తස౓Λࣔ͢

    View Slide

  11. w ୯ޠ QMBZ HBNF NVTJD
    ͔͠ͳ͍จॻ
    w จॻ"ʹ͓͚Δ୯ޠස౓G" QMBZ HBNF NVTJD


    w จॻ#ʹ͓͚Δ୯ޠස౓G# QMBZ HBNF NVTJD


    w ୯ޠ෼෍Q"
    Q#

    ˠ୯ޠ࠲ඪ୯ମ্΁จॻΛࣹӨ
    -%"ͷ࣍ݩѹॖɾ௿࣍ݩۭؒ΁ͷࣹӨ
    -%"ͷزԿֶతղऍ
    NVTJD
    HBNF QMBZ
    จॻ͸఺ ୯ޠ࠲ඪ୯ମ

    View Slide

  12. w જࡏτϐοΫ࠲ඪ୯ମΛܗ੒͢ΔجఈϕΫτϧ͸୯ޠ࠲ඪ୯ମ্ͷ఺
    w جఈϕΫτϧ͸୯ޠϕΫτϧ
    w П͸જࡏτϐοΫ࠲ඪ୯ମΛܗ੒͢ΔجఈϕΫτϧ
    w ୯ޠ࠲ඪ୯ମͷ఺
    w จॻ͝ͱͷτϐοΫ෼෍В͸જࡏτϐοΫ࠲ඪ୯ମ্ͷ఺
    w -%"͸จॻू߹ͷજࡏτϐοΫ୯ମ্΁ͷࣹӨ
    w જࡏτϐοΫ࠲ඪ୯ମ͸୯ޠ࠲ඪ୯ମΑΓ΋௿࣍ݩˠ࣍ݩѹॖ
    w -%"Ͱ͸%JSJDIMFU෼෍ʹ͕ͨͬͯ͠จॻΛજࡏτϐοΫ࠲ඪ୯ମ্ʹ
    ഑ஔ
    ˠ-BUFOU%JSJDIMFU"MMPDBUJPO
    જࡏτϐοΫ࠲ඪ୯ମ͸୯ޠ࠲ඪΑΓ΋௿࣍ݩ
    -%"ͷزԿֶతղऍ

    View Slide

  13. w τϐοΫΛ஥հͯ͠ɺจॻதʹग़ݱ͠ͳ͍୯ޠͷ
    ֬཰Λࢉग़Ͱ͖Δ
    w จॻதʹݱΕΔ୯ޠͷස౓ͷΈͰܭࢉ͢Δͱɺग़ݱ͠ͳ͍୯ޠ
    ʹ֬཰͸θϩʹͳͬͯ͠·͏
    w τϐοΫΛ஥հ͠ɺपғͷ୯ޠ৘ใΛݩʹ୯ޠWͷ֬཰Λࢉग़Ͱ
    ͖Δ
    w هड़தͷจॻͰ࢖༻Ͱ͖Δ୯ޠ΍ɺݴ͍׵͑ͷఏࣔ
    ༧ଌ
    -%"ͷԠ༻

    View Slide

  14. w ৘ใݕࡧΫΤϦͰΑΓؔ࿈౓߹ͷߴ͍΋ͷΛݕࡧ
    w ΫΤϦRʹؚΜͰ͍ͳ͍จॻʹରͯ͠΋֬཰ΛܭࢉͰ͖Δ
    w DBSΛؚΜͩΫΤϦʹର͠ɺBVUPNPCJMFؚ͕·ΕΔจॻ΋༗ޮʹʢڞىੑΛ༗ޮࢹʣ
    w Q DBScL
    ͱQ BVUPNPCJMFcE
    ͕ಉఔ౓ͷ֬཰ͷ৔߹
    w ୯ޠͷग़ݱ͠΍͕͢͞৘ใݕࡧͷੑೳͷྑ͞Ͱ͸ͳ͍
    w ਪનγεςϜ΁ͷԠ༻
    w #BHPG*UFNTͰڞى͢ΔΞΠςϜΛਪન
    w τϐοΫϢʔβͷજࡏతᅂ޷ύλʔϯɹ
    ༧ଌ
    -%"ͷԠ༻

    View Slide

  15. w ϥϕϧࣝผث
    w ֤୯ޠ͔Βજࡏม਺ͷ஋ͱೖΕସ͑Δͱɺ࣍ݩѹॖͨ͠จॻΛදݱͰ͖Δ
    w ࣍ݩѹॖͨ͠จॻ͔Βಛ௃ϕΫτϧநग़
    w ڭࢣϥϕϧ෇͖σʔλ͔Β෼ྨثΛ࡞੒
    w ද໘తʹݱΕͳ͍જࡏతʹؔ࿈͢Δ୯ޠͰ෼ྨͰ͖Δ
    w ػց຋༁
    w ຋༁ʹ༻͍Δ୯ޠީิʹจ຺৘ใΛར༻͍ͯ͠ͳ͍ͨΊɺ͠͹͠͹ෆࣗવͳ୯ޠͳ
    ୯ޠ͕બ͹ΕΔ
    w τϐοΫ৘ใΛར༻͢Δ͜ͱͰɺ୯ޠͷީิΛߜΓΑΓࣗવͳ຋༁จΛ࡞੒Ͱ͖Δ
    જࡏ৘ใͷར༻
    -%"ͷԠ༻

    View Slide

  16. ͓͠·͍

    View Slide