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正規分布でpythonに絡む

yobe
February 17, 2018

 正規分布でpythonに絡む

正規分布でpythonに絡む

yobe

February 17, 2018
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  1. ਖ਼ن෼෍͔ΒQZUIPO
    ʹབྷΉ
    ͸ΜͳΓ1ZUIPO
    ٢ాɹوً

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  2. ࣗݾ঺հ
    1)1FS̑೥͙Β͍
    1ZUIPOJTUB೥͙Β͍
    ΤϯδχΞ

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  3. ։ൃ؀ڥ
    IPNFCSFX NBDύοέʔδ؅ཧιϑτʁ

    QZFOW
    1ZUIPO"OBDPOEBDVTUPN CJU

    +VQJUFSMBCɺOPUFCPPL൒ʑ

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  4. ਖ਼ن෼෍ͬͯ
    w ͜Μͳײ͡

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  5. ਖ਼ن෼෍ͱ͸
    ਎௕ɺମॏɺଌఆޡࠩ,ςετͷ੒੷ͳͲ͸௨ৗɺதԝ෇ۙͷ
    ฏۉ఺ͷۙ͘ͷਓ਺͕Ұ൪ଟ͘ɺ0఺΍100఺ʹۙͮ͘΄Ͳਓ
    ਺͕গͳ͘ͳΓɺಘ఺ͷ෼෍͸ࠨӈରশͷ௼৊ܕʹͳΔ͜ͱ͕
    ଟ͍ͱݴΘΕ·͢ɻ͜ͷΑ͏ͳ෼෍ͷܕΛਖ਼ن෼෍ʢΨ΢ε෼
    ෍ʣͱݴ͍·͢ɻ



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  6. ਖ਼ن෼෍ͬͯ

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  7. ਖ਼ن෼෍ͷಛ௃
    ɾ໘ੵΛશͯੵ෼͢Δͱ1ʹͳΔɻ(֬཰෼෍ͷੑ࣭) ͋Δ۠ؒͷ໘ੵͷੵ෼஋͸ɺͦͷ۠ؒ
    ͷσʔλ͕ൃੜ͢Δ֬཰ͱͯ͠ѻ͑Δɻ

    • ඪ४ภࠩΛσ(γάϚʣͱͨ͠ͱ͖ɺ±σʢϛϡʔʣͷൣғʹ͸໿68%ͷσʔλ͕͓͞·
    Δɻ±2σͷൣғʹ͸໿95%ͷσʔλ͕͓͞·Δɻ

    • ൃੜ͢Δ֬཰͕௿͍஋Λ؍ଌ͢Δͱҟৗͳ஋Ͱ͋Δͱ൑ఆ͍ͨ࣌͠ʹ࢖͑Δɻ

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  8. ඪ४ภࠩͱ͸ʢͪΐͬͱิ଍ʣ
    ਺஋ͷ͹Β͖ͭΛݟΔ͜ͱ͕Ͱ͖Δɻ

    ઌʹ෼ࢄΛٻΊΔɻ

    ฏۉ஋ͱͦΕͧΕͷ਺஋ͱͷࠩͷೋ৐ʹର͢Δฏۉ஋

    ஋͕ࢄΒ͹͍ͬͯΔͱ਺஋͸େ͖͘ͳΔɻ

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  9. ਖ਼ن෼෍ͷಛ௃

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  10. ਖ਼ن෼෍ͷ࢖͍ॴ
    #͓ళͷདྷళऀ਺Λ೔ຖʹ෼͚Δͱ

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  11. ਖ਼ن෼෍ͷ࢖͍ॴ
    ਖ਼ن෼෍ͰݟΔͱ

    ചΓ্͛ͷ͋Δ೔ͳ͍ͻ

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  12. ͍ͭͰʹࠞ߹Ψ΢ε෼෍
    ౷ܭͷΛ͢Δͱ৭Μͳख๏͕͋Γ·͢ɻ

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  13. ͍ͭͰʹࠞ߹Ψ΢ε෼෍
    ͷΫϥελϦϯάͱݴΘΕΔɻσʔλͷಛ௃͔Β෼ྨ͢Δख๏
    Ͱ࢖ΘΕɺͳʔΜͱͳ͘σʔλͷಛ௃Λ෼ྨͯ͘͠Ε·͢ɻ

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  14. ΑΓΑࣝ͘ผͰ͖Δ
    K-meansʢࠨਤʣͱͷൺֱʹͳΓ·͕͢

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  15. ྫ͑͹
    ͜Μͳਖ਼ن෼෍

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  16. Α͘ݟΔͱ
    ೋͭͷਖ਼ن෼෍

    ͷֻ͚߹Θͤʹ

    ݟ͑·͢ɻ

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  17. Α͘ݟΔͱ
    ෼෍΁ͷ౰ͯ͸·Γ͕ྑ͍ΜͰ͢ʂ

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  18. w&.ΞϧΰϦζϜΛ࢖༻
    ֬཰ϞσϧͷύϥϝʔλΛ࠷໬ਪఆ͢Δख๏ͷҰͭ
    Ͱ͋Γɺ؍ଌෆՄೳͳજࡏม਺ʹ֬཰Ϟσϧ͕ґଘ
    ͢Δ৔߹ʹ༻͍ΒΕΔɻɹ
    -ͪͳΈʹ࠷໬ਪఆ
    ύϥϝʔλ͕͋Δ஋ a,ba,b ͩͬͨ࣌ʹͦͷσʔλ͕ग़ྗ͞ΕΔ֬཰ p(x,y|a,b)p(x,y|a,b) Λ ໬
    ౓ ͱݺͿ

    -ͪͳΈʹ໬౓ͱ͸

    ໬΋ʢ΋ͬͱ΋ʣΒ͍͠਺஋ͷ౓߹

    ໬౓͕࠷ߴʹͳΔΑ͏ʹa,ba,bΛબͿ(࠷໬ਪఆ)ɿ

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  19. w&.ΞϧΰϦζϜ
    E εςοϓͱ M εςοϓͷऩଋ͢Δ·Ͱ܁Γฦ͠ॲཧΛ͓͜ͳ͏ΞϧΰϦζϜ

    E εςοϓʢظ଴஋ࢉग़ʣɹ
    ଟมྔਖ਼ن෼෍ͷμσͱࠞ߹཰Λݻఆ͠ɺ໬౓Λ࠷େʹ͢ΔॴଐΫϥεΛٻΊ͍ͯΔ͜ͱʹ૬
    ౰͢Δ

    -- Ϋϥελ͝ͱʹɺ֤σʔλ͕ͦ͜ʹଐ͢Δ֬཰Λࢉग़

    -- ࢉग़͞Εͨ֬཰ͷ߹ܭΛٻΊΔ

    -- Ϋϥελ಺Ͱͷ֬཰͸ɺ৚݅෇͖֬཰Ͱ͋Δ఺ʹ஫ҙ

    M εςοϓʢظ଴஋࠷େԽͷͨΊͷ৘ใߋ৽ʣɹ
    – ॴଐΫϥεΛݻఆ͠ɺ໬౓Λ࠷େʹ͢Δଟมྔਖ਼ن෼෍ͷμσͱࠞ߹཰ΛٻΊΔɻ

    • Ϋϥελ͝ͱʹࢉग़֬཰ͷฏۉΛٻΊɺͦΕΛΫϥελॴଐ֬཰ʢ৚݅෇͖֬཰ͷ৚݅෦ͷ
    ֬཰ʣͱ͢Δ

    • ࣍ͷॏ৺Λɺσʔλ࠲ඪΛ֬཰ͰॏΈ෇͚ͯ͠ࢉग़͢Δ • ৽͍͠ॏ৺Λ࢖͍֬཰ͰॏΈ෇͚

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  20. ͓͠·͍
    ͝੩ௌ͋Γ͕ͱ͏͍͟͝·ͨ͠ɻ

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