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τϐοΫϞσϧʹΑΔ౷ܭతજࡏҙຯ ղੳ 3ষ ֶशΞϧΰϦζϜ(3.2.3 ~ 3.2.4) Yoshifumi Seki GunosyσʔλϚΠχϯάݚڀձ #98 2016.01.06

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3.2.3 LDAͷΪϒεαϯϓϦϯά ·ͣLDAͷશ֬཰ม਺ͷ݁߹෼෍Λߟ͑Δ ͔͜͜Βؔ܎ͷͳ͍߲Λফͯ͠αϯϓϧͷੜ੒Λߦ͏

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จॻ ʹ͓͚Δ ൪໨ͷજࡏม਺

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จॻ ʹ͓͚Δ ൪໨ͷજࡏม਺ ͱͳΔΑ͏ʹਖ਼نԽ͢Δͱ ϙΠϯτ • ෼฼΍৐਺ΛऔΓ෷ͬͯൺྫ஋ʹ͍ͯ͠ΔͷͰ, ૯࿨͕1ʹͳΔΑ͏ʹઃఆ͢Ε͹֬཰஋ʹͰ͖Δ

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ͷ৚݅෇͖ಠཱੑ άϥϑΟΧϧϞσϧΑΓ, ͸ ʹͷΈґଘؔ܎͕͋ Δɽ (3.29)͸͜ͷ৚݅Λຬ͍ͨͯ͠Δɽ

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ͷαϯϓϦϯά

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ͷαϯϓϦϯά Λ༻͍Δͱ • σΟϦΫϨ෼෍ͷࣄޙ෼෍ͳͷͰσΟϦΫϨ෼෍ͷܗʹͳΔΑ͏ʹ͍ͨ͠ɽ • ͳͷͰ૯৐Ͱද͢͜ͱ͕Ͱ͖ΔΑ͏ʹࣜมܗ͍ͯ͠Δ

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ͷαϯϓϦϯά (2.11)ΑΓ ͸Dirichelet෼෍ʹै͏ͷͰ

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ͷαϯϓϦϯά

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ͷαϯϓϦϯά Ҏ্͔Β

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ͷαϯϓϦϯά (2.11)ΑΓ ͸Dirichelet෼෍ʹै͏ͷͰ

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ΪϒεαϯϓϦϯάʹΑΔಋग़

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3.2.4 LDAͷपลԽΪϒεαϯϓϦϯά ͸จॻ ͰજࡏτϐοΫ ͕ݱΕͨ୯ޠ਺ ͸શจॻʹରͯ͠τϐοΫ ͕୯ޠ ʹରͯ͠ਪఆ͞Εͨؔ਺

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ʹ͓͚ΔपลԽ

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ʹ͓͚ΔपลԽ ΑΓ

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ʹ͓͚ΔपลԽ σΟϦΫϨ෼෍ͳͷͰ, σΟϦΫϨ෼෍ͷظ଴஋ͱͯ͠ܭࢉ͢Δ

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