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Kerasを使って画像分類をやってみる / pyml-niigata-20190119

Kerasを使って画像分類をやってみる / pyml-niigata-20190119

Python機械学習勉強会in新潟の資料です。

kasacchiful

January 19, 2019
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  1. ,FSBTΛ࢖ͬͯ
    ը૾෼ྨΛ΍ͬͯΈΔ
    1ZUIPOػցֶशษڧձJO৽ׁ3FTUBSU!௕Ԭ

    ּݪ޺ !LBTBDDIJGVM

    View Slide

  2. ࣗݾ঺հ
    w ּݪ޺ !LBTBDDIJGVM

    w ৽ׁࢢࡏॅ
    w 3VCZ͕͓ؾʹೖΓ ࠓճ͸1ZUIPOͰ͢

    w +"846(৽ׁ୅ද
    w +B445৽ׁ࣮ߦҕһ

    View Slide

  3. ࠓճͷ಺༰
    ࠓճ࡞੒͢Δը૾෼ྨϋϯζΦϯͷ֓ཁ
    σΟʔϓϥʔχϯάͷ࢓૊Έ
    ,FSBTͰχϡʔϥϧωοτϫʔΫΛߏஙͯ͠ΈΑ͏
    ,FSBTͰ৞ࠐΈχϡʔϥϧωοτϫʔΫΛߏஙͯ͠ΈΑ
    ͏

    View Slide

  4. ࠓճͷ಺༰
    ࠓճ࡞੒͢Δը૾෼ྨϋϯζΦϯͷ֓ཁ
    σΟʔϓϥʔχϯάͷ࢓૊Έ
    ,FSBTͰχϡʔϥϧωοτϫʔΫΛߏஙͯ͠ΈΑ͏
    ,FSBTͰ৞ࠐΈχϡʔϥϧωοτϫʔΫΛߏஙͯ͠ΈΑ
    ͏

    View Slide

  5. σϞ֓ཁ
    w ը૾෼ྨΛߦ͍·͢ɻ
    w ʮڭࢣ͋Γֶशʯͷʮ෼ྨʯ
    w ը૾ͷ෼ྨΫϥε͸छྨʢʮϥʔϝϯʯͱʮ͏ͲΜʯʣ
    w +VQZUFS/PUFCPPL ΋͘͠͸(PPHMF$PMBC
    Ͱɺ,FSBT
    Λ࢖ͬͯը૾෼ྨϞσϧΛ࡞੒͠ɺ࣮ࡍʹֶशɾਪ࿦Λߦ
    ͍·͢ɻ

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  6. ϥʔϝϯ

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  7. ͏ͲΜ

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  8. ڭࢣ͋Γֶश
    wֶशσʔλʹʮਖ਼ղʯͱͳΔڭࢣσʔλ͕͍͍ͭͯΔ
    w෼ྨ
    wະ஌ͷσʔλΛɺ͍͔ͭ͘ͷΫϥεʢΧςΰϦʣʹ෼ྨ͢Δ
    w໨తม਺͕ʮ࣭తม਺ʯʢΧςΰϦม਺ʣͰ͋Δ΋ͷ
    wྫɿਓͷإͷը૾͔ΒʮੑผʯΛ൑ఆ͢Δ
    wճؼ
    wະ஌ͷσʔλ͔Βɺ਺஋Λ༧ଌ͢Δ
    w໨తม਺͕ʮྔతม਺ʯʢ਺஋ʣͰ͋Δ΋ͷ
    wྫɿਓͷإͷը૾͔Βʮ೥ྸʯΛ൑ఆ͢Δ

    View Slide

  9. ڭࢣ͋Γֶश
    ΓΜ͝ όφφ
    ೣ ݘ
    ֶशσʔλ
    ֶशɹ

    View Slide

  10. ڭࢣ͋Γֶश
    ΓΜ͝ όφφ
    ೣ ݘ
    Ͳͷ෼ྨʹ౰ͯ͸·Δ͔ʁ
    ਪ࿦ɹ
    ະ஌ͷը૾σʔλ

    View Slide

  11. ϋϯζΦϯͷશମਤ
    ਖ਼ղϥϕϧ෇
    ֶशը૾σʔλ
    ֶश ਪ࿦
    ֶशࡁ
    Ϟσϧ
    ະ஌ͷ
    ը૾σʔλ
    ࣗ࡞ͷ
    Ϟσϧ
    ൑ఆ

    View Slide

  12. (PPHMF$PMBCPSBUPSZ
    w IUUQTDPMBCSFTFBSDIHPPHMFDPN
    w +VQZUFSOPUFCPPLͬΆ͘࢖͑ΔαʔϏε
    wແྉͰ(16͕࢖͑Δ /7*%*"5FTMB,

    w࡞੒ͨ͠ϊʔτϒοΫ͸(PPHMF%SJWFʹอଘ͞ΕΔ
    w෼ϧʔϧͱ࣌ؒϧʔϧʹ஫ҙ

    View Slide

  13. ,FSBT
    w σΟʔϓϥʔχϯάͰΑ͘࢖͏ػೳΛ࢖͍΍ͨ͘͢͠ɺ
    1ZUIPOͷϥούʔϥΠϒϥϦ
    w 5FOTPS'MPXʗ$/5,ʗ5IFBOPͳͲ
    w σϑΥϧτ͸5FOTPS'MPXΛόοΫΤϯυʹ࢖͏
    w ,FSBTͰ࡞੒ֶͨ͠शࡁϞσϧΛɺ5FOTPS'MPXͷֶशࡁ
    Ϟσϧʹม׵͢Δπʔϧ΍ɺ$PSF.-Ϟσϧʹม׵͢Δͨ
    Ίͷπʔϧ͕͋Δ

    View Slide

  14. ࠓճͷ಺༰
    ࠓճ࡞੒͢Δը૾෼ྨϋϯζΦϯͷ֓ཁ
    σΟʔϓϥʔχϯάͷ࢓૊Έ
    ,FSBTͰχϡʔϥϧωοτϫʔΫΛߏஙͯ͠ΈΑ͏
    ,FSBTͰ৞ࠐΈχϡʔϥϧωοτϫʔΫΛߏஙͯ͠ΈΑ
    ͏

    View Slide

  15. w χϡʔϥϧωοτϫʔΫͷ૚͕ଟ͍΋ͷʢ૚Ҏ্ʣ
    σΟʔϓϥʔχϯά
    ೖྗ૚ ग़ྗ૚
    தؒ૚ʢӅΕ૚ʣ

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  16. χϡʔϥϧωοτϫʔΫ
    w γφϓεͷ݁߹ʹΑͬͯωοτϫʔΫΛܗ੒ͨ͠ਓ޻χϡʔ
    ϩϯʢϊʔυʣ͕ɺֶशʹΑͬͯ݁߹ڧ౓ʢॏΈʣΛม
    Խͤͯ͞໰୊ղܾΛߦ͏ػցֶशϞσϧ
    x1
    x2
    1
    b
    w1
    w2
    h y
    y = h(
    n

    i=1
    wi
    xi
    + b)
    ୯७ύʔηϓτϩϯ
    ׆ੑԽؔ਺͸ɺ
    εςοϓؔ਺΍γάϞΠυؔ਺౳͕౰ॳ࢖ΘΕ͍͕ͯͨɺ
    σΟʔϓϥʔχϯάͰ͸3F-6͕ओʹ࢖ΘΕΔɻ
    h
    h(x) = {
    1 (x > 0)
    0 (otherwise)
    εςοϓؔ਺
    h(x) = max(x,0)
    3F-6

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  17. ׆ੑԽؔ਺
    w ύʔηϓτϩϯͷग़ྗ࣌ʹ࣮ߦ͢Δؔ਺
    w σΟʔϓϥʔχϯάͰ͸ɺ3F-6͕Α͘࢖༻͞ΕΔɻ·ͨ
    ग़ྗ૚Ͱͷ׆ੑԽؔ਺ͱͯ͠TPGUNBY΋
    h(x) = {
    1 (x > 0)
    0 (otherwise)
    εςοϓؔ਺
    h(x) =
    1
    1 + e−x
    γάϞΠυؔ਺
    h(x) = tanh x
    ૒ۂઢਖ਼઀ؔ਺
    h(x) = max(x,0)
    3F-6

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  18. w ೖྗσʔλɿը૾ͷϐΫηϧσʔλ ºº

    w ग़ྗσʔλɿ<ϥʔϝϯͰ͋Δ֬཰ ͏ͲΜͰ͋Δ֬཰>
    ֶशͷྲྀΕ
    ೖྗσʔλ ग़ྗ݁Ռ
    ֶशϞσϧ
    < >

    View Slide

  19. w ྫ͑͹ɺҎԼͷΑ͏ͳ݁Ռ͕ग़ͨͱ͠·͢ɻ
    w ֶशϞσϧͷ΢ΣΠτͱόΠΞεͷ஋ͷॳظ஋͸ϥϯμϜ
    Ͱ͢ɻ
    ֶशͷྲྀΕ
    ೖྗσʔλ ग़ྗ݁Ռ
    ֶशϞσϧ
    < >

    View Slide

  20. w ڭࢣσʔλ͸< >ͷΑ͏ͳɺਖ਼ղ஋͕Ͱଞશͯ
    ͱͳΔϕΫτϧ 0OF)PU7FDUPS
    Λ༩͑ͯɺग़ྗ݁Ռͱ
    ͷࠩΛൺ΂·͢ɻ͜ͷ৔߹͸͕ࠩখ͍͞Ͱ͢Ͷɻ
    ֶशͷྲྀΕ
    ೖྗσʔλ ग़ྗ݁Ռ
    ֶशϞσϧ
    < >
    ڭࢣσʔλ
    < > ൺֱ

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  21. w ྫ͑͹ɺ< >ͷΑ͏ͳग़ྗ݁ՌͰ͋Ε͹ɺڭࢣσʔ
    λͱͷࠩ͸େ͖͘ͳΓ·͢ɻ
    ֶशͷྲྀΕ
    ೖྗσʔλ ग़ྗ݁Ռ
    ֶशϞσϧ
    < >
    ڭࢣσʔλ
    < > ൺֱ

    View Slide

  22. w ग़ྗ݁Ռͱڭࢣσʔλͷࠩ ଛࣦ-PTT
    ΛධՁ͢Δؔ਺ ଛ
    ࣦؔ਺
    ͱΦϓςΟϚΠβΛ࢖ͬͯɺଛࣦ͕খ͘͞ͳΔΑ
    ͏ʹ΢ΣΠτͱόΠΞεΛֶशʹΑͬͯগͣͭ͠มԽͤ͞
    ͍͖ͯ·͢ɻ
    ֶशͷྲྀΕ
    ೖྗσʔλ ग़ྗ݁Ռ
    ֶशϞσϧ
    < >
    ڭࢣσʔλ
    < > ଛࣦؔ਺
    ΦϓςΟϚΠβ
    ΢ΣΠτͱόΠΞεΛมߋ

    View Slide

  23. w ΢ΣΠτ΍όΠΞεͷௐ੔͸ɺग़ྗ૚ଆ͔Βೖྗ૚ଆʹ͔
    ͚ͯॱ൪ʹߦ͍·͢ɻʢޡࠩٯ఻೻๏#BDL
    1SPQBHBUJPOʣ
    ֶशͷྲྀΕ

    View Slide

  24. ଛࣦؔ਺
    w Α͘࢖͏ଛࣦؔ਺
    w ճؼฏۉೋ৐ޡࠩ .FBO4RVFSFE&SSPS

    w ෼ྨަࠩΤϯτϩϐʔ $SPTT&OUSPQZ

    w ࠓճ͸ଟΫϥε෼ྨͳͷͰަࠩΤϯτϩϐʔ ,FSBTͰͷ໊শ͸ɺ
    DBUFHPSJDBMDSPTTFOUSPQZ
    Λ࢖༻͢Δ
    E =
    1
    N
    N

    n=1
    (yn
    − tn)
    2
    E = −
    1
    N
    N

    n=1
    K

    k=1
    tnk
    log ynk

    View Slide

  25. ΦϓςΟϚΠβ
    w1
    E
    w Α͘࢖͏ΦϓςΟϚΠβɿޯ഑߱Լ๏ ࠷ٸ߱Լ๏(SBEJFOU%FTDFOU

    w ଛࣦؔ਺ͱ΢ΣΠτ ·ͨ͸όΠΞε
    ͷؔ܎͔Βɺޯ഑ΛٻΊΔɻ
    w ޯ഑ʹج͍ͮͯɺଛࣦؔ਺ͷ஋͕খ͘͞ͳΔํ޲ʹগͣͭ͠΢ΣΠτΛมߋ͢Δɻ

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  26. ΦϓςΟϚΠβ
    w1
    E
    w جຊతͳΦϓςΟϚΠβɿޯ഑߱Լ๏ ࠷ٸ߱Լ๏(SBEJFOU%FTDFOU

    w ଛࣦؔ਺ͱ΢ΣΠτ ·ͨ͸όΠΞε
    ͷؔ܎͔Βɺޯ഑ΛٻΊΔɻ
    w ޯ഑ʹج͍ͮͯɺଛࣦؔ਺ͷ஋͕খ͘͞ͳΔํ޲ʹগͣͭ͠΢ΣΠτΛมߋ͢Δɻ

    View Slide

  27. ΦϓςΟϚΠβ
    w1
    E
    w Α͘࢖͏ΦϓςΟϚΠβɿޯ഑߱Լ๏ ࠷ٸ߱Լ๏(SBEJFOU%FTDFOU

    w ଛࣦؔ਺ͱ΢ΣΠτ ·ͨ͸όΠΞε
    ͷؔ܎͔Βɺޯ഑ΛٻΊΔɻ
    w ޯ഑ʹج͍ͮͯɺଛࣦؔ਺ͷ஋͕খ͘͞ͳΔํ޲ʹগͣͭ͠΢ΣΠτΛมߋ͢Δɻ

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  28. ΦϓςΟϚΠβ
    w1
    E
    w Α͘࢖͏ΦϓςΟϚΠβɿޯ഑߱Լ๏ ࠷ٸ߱Լ๏(SBEJFOU%FTDFOU

    w ଛࣦؔ਺ͱ΢ΣΠτ ·ͨ͸όΠΞε
    ͷؔ܎͔Βɺޯ഑ΛٻΊΔɻ
    w ޯ഑ʹج͍ͮͯɺଛࣦؔ਺ͷ஋͕খ͘͞ͳΔํ޲ʹগͣͭ͠΢ΣΠτΛมߋ͢Δɻ

    View Slide

  29. ΦϓςΟϚΠβ
    w1
    E
    w Α͘࢖͏ΦϓςΟϚΠβɿޯ഑߱Լ๏ ࠷ٸ߱Լ๏(SBEJFOU%FTDFOU

    w ଛࣦؔ਺ͱ΢ΣΠτ ·ͨ͸όΠΞε
    ͷؔ܎͔Βɺޯ഑ΛٻΊΔɻ
    w ޯ഑ʹج͍ͮͯɺଛࣦؔ਺ͷ஋͕খ͘͞ͳΔํ޲ʹগͣͭ͠΢ΣΠτΛมߋ͢Δɻ

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  30. ΦϓςΟϚΠβ
    w1
    E
    w ࠷ऴతʹɺଛࣦؔ਺ͷ࠷খ஋ ۃখ஋
    ʹऩଋ͢Δ·Ͱ܁Γฦ͢ɻ
    w ֶश཰গͣͭ͠΢ΣΠτΛมߋ͢Δׂ߹

    View Slide

  31. w ΢ΣΠτ͕ͭͷ৔߹͸ɺ࣍ݩ্ۭؒͷޯ഑ʹج͍ͮͯ΢ΣΠ
    τΛগͣͭ͠มԽͤ͞Δɻ
    ΦϓςΟϚΠβ

    View Slide

  32. w ޯ഑߱Լ๏͔ΒɺΑΓߴ౓ͳ࠷దԽख๏͕ఏҊ͞Ε͖ͯͨɻ
    w ݱࡏ͸ɺʮ"EBNʯ΍ʮ3.4QSPQʯͱݺ͹ΕΔ࠷దԽख๏Λ࢖͏͜ͱ͕ଟ
    ͍ɻ
    ΦϓςΟϚΠβ

    View Slide

  33. ࠓճͷ಺༰
    ࠓճ࡞੒͢Δը૾෼ྨϋϯζΦϯͷ֓ཁ
    σΟʔϓϥʔχϯάͷ࢓૊Έ
    ,FSBTͰχϡʔϥϧωοτϫʔΫΛߏஙͯ͠ΈΑ͏
    ,FSBTͰ৞ࠐΈχϡʔϥϧωοτϫʔΫΛߏஙͯ͠ΈΑ
    ͏

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  34. w શ݁߹૚Λ࢖ͬͯଟ૚ͷχϡʔϥϧωοτϫʔΫΛ࡞ͬͯ
    ΈΑ͏
    ࠷ॳʹ࡞ͬͯΈΔϞσϧ
    ग़ྗ૚ શ݁߹૚

    શ݁߹૚
    ը૾σʔλ ฏ׈Խ૚

    View Slide

  35. ϋϯζΦϯ
    ΍ͬͯΈΑ͏

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  36. w ϋϯζΦϯΛߦ͏ࡍͷ਽ܗͷϊʔτϒοΫ͕͋Γ·͢ͷͰɺ
    ͪ͜ΒΛར༻͢ΔͱศརͰ͢ɻ
    w IUUQTHJUIVCDPNLBTBDDIJGVMLFSBTDOOIBOET
    POCMPCNBTUFSDOO@FYFSDJTF@UFNQMBUFJQZOC
    w ಉࠝͷςΩετϒοΫ΋͝ࢀߟ͍ͩ͘͞ɻ
    w IUUQTHJUIVCDPNLBTBDDIJGVMLFSBTDOOIBOET
    POCMPCNBTUFSLFSBT@IBOETPO@UFYUCPPLJQZOC
    ϋϯζΦϯ

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  37. ࠓճͷ಺༰
    ࠓճ࡞੒͢Δը૾෼ྨϋϯζΦϯͷ֓ཁ
    σΟʔϓϥʔχϯάͷ࢓૊Έ
    ,FSBTͰχϡʔϥϧωοτϫʔΫΛߏஙͯ͠ΈΑ͏
    ,FSBTͰ৞ࠐΈχϡʔϥϧωοτϫʔΫΛߏஙͯ͠ΈΑ
    ͏

    View Slide

  38. ৞ࠐΈχϡʔϥϧωοτϫʔΫ
    $POWPMVUJPOBM/FVSBM/FUXPSL

    w ը૾ೝࣝɺ෺ମݕग़ͳͲΛಘҙͱ͢Δ
    w ৞ΈࠐΈ૚ $POWPMVUJPO-BZFS
    ɺϓʔϦϯά૚
    1PPMJOH-BZFS
    Ͱಛ௃நग़͠ɺग़ྗଆͷશ݁߹૚Ͱ෼ྨ
    w ৞ΈࠐΈ૚ͷϑΟϧλͷॏΈͱશ݁߹૚ͷॏΈֶ͕शʹΑͬ
    ܾͯఆ͞Ε͍ͯ͘

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  39. ৞ΈࠐΈ૚
    w ݩը૾͔ΒϑΟϧλΛ௨ͯ͠ಛ௃఺Λநग़
    1 2 3 4 5
    6 7 8 9 10
    11 12 13 14 15
    16 17 18 19 20
    21 22 23 24 25
    0 1 0
    1 1 1
    0 1 0
    1 2 3 4 5
    6 7 8 9 10
    11 12 13 14 15
    16 17 18 19 20
    21 22 23 24 25
    0 1 0
    1 1 1
    0 1 0
    35
    ಛ௃Ϛοϓ͕
    ੜ੒͞ΕΔ
    ೖྗ
    ϑΟϧλ

    View Slide

  40. ৞ΈࠐΈ૚
    w ݩը૾͔ΒϑΟϧλΛ௨ͯ͠ಛ௃఺Λநग़
    1 2 3 4 5
    6 7 8 9 10
    11 12 13 14 15
    16 17 18 19 20
    21 22 23 24 25
    0 1 0
    1 1 1
    0 1 0
    1 2 3 4 5
    6 7 8 9 10
    11 12 13 14 15
    16 17 18 19 20
    21 22 23 24 25
    0 1 0
    1 1 1
    0 1 0
    35 40
    ಛ௃Ϛοϓ͕
    ੜ੒͞ΕΔ
    ೖྗ
    ϑΟϧλ

    View Slide

  41. ৞ΈࠐΈ૚
    w ݩը૾͔ΒϑΟϧλΛ௨ͯ͠ಛ௃఺Λநग़
    1 2 3 4 5
    6 7 8 9 10
    11 12 13 14 15
    16 17 18 19 20
    21 22 23 24 25
    0 1 0
    1 1 1
    0 1 0
    1 2 3 4 5
    6 7 8 9 10
    11 12 13 14 15
    16 17 18 19 20
    21 22 23 24 25
    0 1 0
    1 1 1
    0 1 0
    35 40 45
    ಛ௃Ϛοϓ͕
    ੜ੒͞ΕΔ
    ೖྗ
    ϑΟϧλ

    View Slide

  42. ৞ΈࠐΈ૚
    w ݩը૾͔ΒϑΟϧλΛ௨ͯ͠ಛ௃఺Λநग़
    1 2 3 4 5
    6 7 8 9 10
    11 12 13 14 15
    16 17 18 19 20
    21 22 23 24 25
    0 1 0
    1 1 1
    0 1 0
    1 2 3 4 5
    6 7 8 9 10
    11 12 13 14 15
    16 17 18 19 20
    21 22 23 24 25
    0 1 0
    1 1 1
    0 1 0
    35 40 45
    60
    ಛ௃Ϛοϓ͕
    ੜ੒͞ΕΔ
    ೖྗ
    ϑΟϧλ

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  43. ৞ΈࠐΈ૚
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  46. ϋϯζΦϯ
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