BegiLab #27 ベイズ勉強会(56) FactorAnalysis
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yasubei
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GBDUPSBOBMZTJTҼࢠੳ
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ͭҼࢠੳ Ͱ͢ɻ ਖ਼نͷଟ࣍ݩͷ߹ ύϥϝʔλ͕͘͢͝େ͖͘ͳ ΔͷͰɺ͍͔ʹখ͘͢͞Δ ͔
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ର͔͍֯ͬͯ͠ͳ͔ͬͨ ڞࢄΛ͍ͬͯͳ͔ͬͨ 'VMMDPWBSJBODF ڞࢄΛ͏ͱੑೳվળ͞Εͦ͏͕ͩ ύϥϝʔλ͕͘͢͝େ͖͘ͳΔ ˠ෦ۭؒΛ͏ ෦ۭؒΛͬͯڞࢄߦྻΛ ϞσϧԽ͍ͯ͠Δ Єʹର֯ߦྻʢର͔֯࣋ͨ͠ͳ͍ߦྻʣ Їʹ෦ۭؒ
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෦ۭؒ ̎࣍ݩ͕͋ͬͨΒݪΛ௨Δઢ ͜Ε̍࣍ݩͷ෦ۭؒͱݴ͍·͢ ̏࣍ݩͷ߹̎࣍ݩͷ෦ۭؒ ̍࣍ݩͷ෦ۭؒ͋Γ·͢ ̎࣍ݩͷ෦ۭؒ̎ͭͷϕΫτϧͰද͞ ΕΔ ฏ໘͕࡞ΕΔΑ͏ͳ̎ͭͷϕΫτϧ ʮЇͱЇೋ࣍ݩͷجఈʹͳ͍ͬͯΔʯ EBJ
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෦ۭؒΛͬͯڞࢄߦྻΛ ϞσϧԽ͍ͯ͠Δ ̏࣍ݩͷ෦̎ݸͰ̎࣍ݩͷ෦ۭؒΛ දݱ͠·͢ ПͱПͷసஔߦྻΛֻ͚Δͱ 'VMMDPWFSJBODFʹͳΔ
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̏࣍ݩͷ߹̎࣍ݩͷ෦ۭؒ ϕΫτϧ͕̎ͭ͋ΔͷͰ͜ͷΑ͏ʹͳΔ ʢલͷϖʔδͷПͱПͷసஔߦྻͷΠϝʔδʣ
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Ҽࢠੳ͜Ε͚ͩʹ͑ΒΕΔ දݱೳྗ͕͍ ର͚֯ͩʹͯ͠·ͩදݱྗ͕͍ ύϥϝʔλ͕ଟ͍͗ͯ͢ʹ͍͘ ͜Ε͋ͱͷষͰઆ໌͢Δ ͓ͦΒ͘ରশߦྻͳͷͰύϥϝʔλͷO$O EBJ͞Μ
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ӅΕม ඪ४ਖ਼نͷ֦ுܕ ʢЖʹ̌ɺࢄ͕୯Ґߦྻʣ ਖ਼نͱਖ਼نΛ͔͚ͯ ਖ਼نʹͳΔʢৄࡉলུʣ
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पลΛਖ਼نͱͯ͠ߟ͍͑ͯ͘ ͦΕΛ͍͔ͭ͘܁Γฦͯ͠ Ҽࢠੳͷܗʹ͍ͯ͘͠ Ұ࣍ݩͰߟ͑ΔɻΛαϯϓϦϯάɻ ӅΕมIΛܾΊͯ1S I ΛٻΊΔ Їʢ෦ۭؒʣΛٻΊ͍ͯ͘
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̏࣍ݩۭؒʹ ̎࣍ݩͰ͑ࠐ·Εͨ ڞࢄߦྻΛදݱͰ͖Δ %JBHPOBMDPWBSJBODFͷͱ͖ ಉ͡ܗͷͷ͕͍ͭ͘ग़དྷΔ Ұ࣍ݩͷ෦ۭؒதʹϙίϙί ϙίͱ࡞ΒΕΔ ̷ແݶݸ͋Δਖ਼نͰߟ͑ ΒΕΔɻ ແݶݸͷਖ਼نΛ͠߹Θͤ Δɻ ύϥϝʔλ ЖɺЇɺЄΛٻΊΔ
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&TUFQ
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࣍ݩ෦ۭؒதͷ̎࣍ݩۭؒ
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ύϥϝʔλʹґଘ͍ͯ͠ͳ͍ͷͰ ͜ΕআͰ͖Δ ύϥϝʔλʹґଘ͍ͯ͠ͳ͍ͷͰ ͜ΕআͰ͖Δ
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.4UFQ
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إը૾ʹ͢Δͱ ͜Μͳײ͡ʹͳΔ உੑత ঁੑత স͍إʁ ͢·͠إʁ
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ੜϞσϧͰ͍ͬͯΔͷͰ ੜ͢Δ͜ͱ͕Ͱ͖Δ IʢЏɺXʣΛϥϯμϜͰ߱Δ ཚΛ߱Δͱ͍Ζ͍Ζͳύλʔϯ͕ ੜ͞ΕΔ
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࣍ճ ɾGBDUPSBOBMZTJTҼࢠੳ QPMM࣍ճ։࠵ϙνϙν͓ئ͍͠·͢ʙ ʙ ʙ ݄ ʙ