画像解析（MNIST）

第9回もくもく会資料

Transcript

1. Έ΍͜
   ΋͘΋͘ձ
   ./*45
   ϓϨθϯλʔɹTomohiro Iida
   

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2. ΞδΣϯμ
   ࣗݾ঺հˍຊ೔ͷΰʔϧઆ໌ʢ෼ʣ
   ࢀՃऀͦΕͧΕͷࣗݾ঺հʢ෼ʣ
   ./*45ϋϯζΦϯʢ෼ʣ
   

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3. ΞδΣϯμ
   ࣗݾ঺հˍຊ೔ͷΰʔϧઆ໌ʢ෼ʣ
   ࢀՃऀͦΕͧΕͷࣗݾ঺հʢ෼ʣ
   ./*45ϋϯζΦϯʢ෼ʣ
   

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4. ܦྺ
   

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5. ຊ೔ͷΰʔϧ
   ࣗ෼ͷखॻ͖਺ࣈΛ
   ൑ผ͢ΔϞσϧΛ࡞Δ
   

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6. ࢯ໊ʢϋϯυϧωʔϜՄʣ
   झຯ
   ʮ͜ΜͳJQIPOF͸ݏͩʂʯΛڭ͍͑ͯͩ͘͞
   ࢀՃऀࣗݾ঺հ
   

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7. ࣗݾ঺հˍຊ೔ͷΰʔϧઆ໌ʢ෼ʣ
   ࢀՃऀͦΕͧΕͷࣗݾ঺հʢ෼ʣ
   ./*45ϋϯζΦϯʢ෼ʣ
   

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8. ./*45ͱ͸
   ./*45ͱ͸ɺը૾σʔληοτͷ͜ͱɻ

   ʢखॻ͖਺ࣈը૾ ຕͱɺςετը૾ ຕΛूΊͨ΋ͷʣ

   ҎԼ͕ϖΞʹͳ͍ͬͯΔɻ
   
   खॻ͖ͷʙͷ਺ࣈ͕ॻ͔Εͨը૾σʔλͱɺ
   
   ͦͷը૾ʹॻ͔Ε࣮ͨࡍͷ਺ࣈσʔλ
   

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9. ը૾ೝࣝͱ͸
   IUUQTTVQFSTNBTICSPTGBOEPNDPNKBXJLJ&""&#&"'
   ը૾ೝࣝͱ͸
   ը૾σʔλ͔Βɺਓؒʹͱͬͯҙຯͷ͋Δ৘ใΛ
   நग़͢ΔλεΫͷ͜ͱΛ͍͏ɻ
   ୯ͳΔ਺ࣈʹ͗͢ͳ͍
   

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10. ./*45ͱ͸
    IUUQTXFCMBCPPTDBTJFSSBOFUQZUIPOLFSBTNOJTUTBNQMFIUNM
    σʔλͷ༷ࢠ
    

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11. ./*45ͱ͸
    IUUQTXFCMBCPPTDBTJFSSBOFUQZUIPOLFSBTNOJTUTBNQMFIUNM
    ग़ྗ͸͜Μͳײ͡
    ਺ࣈ ֬཰
    0 0.014
    1 0.001
    2 0.013
    3 0.719
    4 0.034
    5 0.016
    6 0.023
    7 0.065
    8 0.086
    9 0.029
    

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12. Ͱ͸ɺ΍ͬͯΈ·͠ΐ͏
    ࣮૷
    

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13. 4FRVFOUJBMϞσϧ
    IUUQNBSVQFLFDPN*,%"%7@%-@/P@,FSBTIUNM
    %FOTF
    

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14. 3FMVؔ਺
    ೖྗ͕ҎԼͳΒɺҎ্ͳΒͦͷ··ग़ྗ͢Δؔ਺ͷ͜ͱɻ
    ҎԼͷ਺ࣜͰදͤΔɻ
    I Y
    \Y Y
    Y
    ^
    IUUQTUFDICMPHHNPBQKQ&"'&"#&"%"&#'&&"&#$&&"&#$&#&#&#&"&#%#'&'&$&#&'#"&$"$&"&""
    

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15. %SPQPVU
    σʔλ͕มʹͳͬͯ͠·͏͜ͱΛ๷͙ɻ
    IUUQTRJJUBDPNNJOFJUFNTECBCCFGD
    

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16. 3.4QSPQ
    lޯ഑߱Լ๏zΛ
    ࠷దԽ͢ΔΞϧΰϦζϜͷͻͱͭ
    దԠతֶश཰ͷํࣜͷ࣮ݱ
    

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17. ޯ഑߱Լ๏
    ޯ഑߱Լ๏ͷߟ͑ํ˰্͔ΒϘʔϧΛམͱ͠Ұ൪௿͍ͱ͜Ζ΁୧Γண͘·Ͱ଴ͭ
    IUUQXXXQMBODWUJUFDIBDKQGVLVEBMBCCBDCEEBCDCBGDDGDQEG
    

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18. ޯ഑߱Լ๏
    ࣌ࠁͰ
    ʹ͋ͬͨϘʔϧΛޯ഑ͷٯํ޲΁ಈ͔͢ࡍͷϧʔϧ
    (+1) = () + ∆() , ∆() = − (4.9)
    lͱॱ࣍܁Γฦ͢͜ͱͰɼޡࠩؔ਺άϥϑͷఈ΁߱Γ͍ͯ͘
    ˎ̍εςοϓͷҠಈڑ཭∆
    ͸lֶश཰zͰܾఆ͞ΕΔ
    IUUQXXXQMBODWUJUFDIBDKQGVLVEBMBCCBDCEEBCDCBGDDGDQEG
    

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19. ޯ഑߱Լ๏
    ֶश཰ͷऔΓํ͸τϥΠΞϯυΤϥʔʹجͮ͘
    w ֶश཰͕େ͖͍

    ˰ࠁΈ͕ߥ͗ͯ͢ޡࠩؔ਺ͷܗঢ়Λଊ͑ΒΕͣɼऩଋ͠ͳ͍

    w ֶश཰͕খ͍͞

    ˰ֶश͕Ұ޲ʹਐߦ͠ͳ͍
    IUUQXXXQMBODWUJUFDIBDKQGVLVEBMBCCBDCEEBCDCBGDDGDQEG
    

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20. $//ͱ͸
    ը૾σʔλʹదͨ͠ܗͷ

    χϡʔϥϧωοτϫʔΫ
    ը૾Λͦͷ··ͷܗʹ̎࣍ݩͰ

    ѻ͏͜ͱ͕Ͱ͖Δ
    $POWPMVUJPOBM/FVSBM/FUXPSL
    

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21. $//ͷશମ૾
    $//͸ɺ৞ΈࠐΈ΍ϓʔϦϯάʹΑͬͯಘΒΕͨಛ௃Ϛοϓͷ֤ϐΫηϧσʔλΛɺ

    χϡʔϥϧωοτϫʔΫͷೖྗ஋ͱͯ͠ར༻͢Δɻ
    IUUQTXXXBUNBSLJUDPKQBJUBSUJDMFTOFXTIUNM
    

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22. $// ৞ΈࠐΈ
    
    IUUQTULFOHPHJUIVCJPCMPHVOEFSTUBOEJOHDPOWPMVUJPOBMOFVSBMOFUXPSLTGPSOMQ
    
    
    
    Χʔωϧ

    ʢϑΟϧλʔʣ
    

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23. $// ϓʔϦϯά
    
    IUUQTULFOHPHJUIVCJPCMPHVOEFSTUBOEJOHDPOWPMVUJPOBMOFVSBMOFUXPSLTGPSOMQ
    ը૾αΠζΛܾΊΒΕͨϧʔϧʹैͬͯখ͘͢͞Δ
    NBYϓʔϦϯά
    

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24. $// શ݁߹૚
    
    ग़ྗͷܗΛ̍࣍ݩʹมܗ͢Δ
    ௨ৗͷχϡʔϥϧωοτϫʔΫͱಉ͡

    ʮӅΕ૚ʯʮग़ྗ૚ʯʹ઀ଓ͠ɺ
    

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25. ͓͠·͍
    pO
    

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