MolGANの紹介

Transcript

1. .PM("/
   "OJNQMJDJUHFOFSBUJWFNPEFMGPSTNBMM
   NPMFDVMBSHSBQIT
   /JDPMB%F$BP 5IPNBT,JQG
   ൃදऀɿେԼൣߊ
   

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2. ຊ೔ͷ಺༰
   .PM("/ͱ͸
   (SBQI$POWPMVUJPOBM/FUXPSLͱ͸
   ("/ͱ͸
   .PM("/ͷΞʔΩςΫνϟʔ
   ධՁࢦඪ
   ֶशʹ͓͚Δ໰୊఺
   

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3. .PM("/ͱ͸
   w ͓͓ͬ͟ͺʹ͍͏ͱ෼ࢠάϥϑΛੜ੒͠Α͏ͱ͍͏("/
   

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4. (SBQI$POWPMVUJPOBM/FUXPSL
   άϥϑϑʔϦΤม׵
   άϥϑԽ
   

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5. ͳͥ($/Λ࢖͏ͷʁ
   .4DIMJDIULSVMMFUBM
   ٙ໰
   3//ϕʔεͷੜ੒ϞσϧͷจࣈྻදݱͰ͍͍Μ͡Όͳ͍ͷʁ
   ͳͥάϥϑʹʁ
   ౴͑
   3//͸ɺ
   ɾߏจنଇͱදݱͷॱংͷ͍͋·͍͞ͷ྆ํΛֶश͢ΔͨΊʹଟେͳίετΛඅ΍͢
   ɾҰൠతʹʢඇ෼ࢠʣάϥϑʹ͸ద༻Ͱ͖ͳ͍
   

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6. ("/
   min
   θ
   max
   ϕ
   x∼pdata
   (x)
   [logDϕ
   (x)] + z∼pz
   (z)
   [log(1 − Dϕ
   (Gθ
   (z))]
   ൑ผͰ͖ͳ͍Α͏ʹ͍ͨ͠
   ൑ผ͍ͨ͠
   (ʹΑͬͯੜ੒ͨ͠σʔλ
   ຊ෺ͷσʔλ͔Βֶश
   

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7. .PM("/
   %JTDSJNJOBUPSσʔληοτͱ(FOFSBUPSΛࣝผ͢Δ
   3FXBSEOFUXPSL(FOFSBUPSͰੜ੒͞Εͨ෼ࢠΛධՁ͢Δɽ
   (FOFSBUPS෼ࢠΛੜ੒͢Δɽ
   ɾͦΕͧΕͷ໾໨
   

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8. matrixX = [x1
   , …, xN]
   T
   ∈ ℝN×T
   ֤෼ࢠ͸ແ޲άϥϑͰදݱͰ͖Δ
   લఏɿ
   A ∈ ℝN×N×YXIFSFAij
   ∈ ℝY
   ྡ઀ςϯιϧ
   ஫ऍߦྻ
   

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9. 3FXBSE/FUXPSL
   w άϥϑ৞ΈࠐΈ૚ʹجͮ͘ॱྻෆมหผث͓Αͼใु
   ωοτϫʔΫʢॴ๬ͷԽֶతੑ࣭ʹ޲͚ͨ3-ϕʔεͷ࠷
   దԽͷͨΊʣ
   w ೖྗ͸άϥϑɼग़ྗ͸εΧϥʔ
   w %JTDSJNJOBUPSͱಉ͡ωοτϫʔΫΛ࢖༻͢Δɽ
   

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10. ධՁࢦඪ
    4BNBOUBFUBM
    Uniqueness =
    ϢχʔΫαϯϓϧ
    ༗ޮαϯϓϧ
    Novelty =
    σʔληοτʹؚ·Εͳ͍༗ޮͳαϯϓϧ਺
    ༗ޮͳαϯϓϧ਺
    Validity =
    7BMJE਺
    શͯͷੜ੒͞Εͨ෼ࢠ਺
    

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11. %SVHMJLFOFTTͲͷ͘Β͍Խ߹෺͕ༀʹͳΔՄೳੑ͕͋Δ͔

    4ZOUIFUJ[BCJMJUZ෼ࢠͷ߹੒ͷ༰қ͞ʢ೉қ౓ʣ

    4PMVCJMJUZ෼ࢠ͕Ͳͷఔ౓਌ਫੑ ਫʹ༹͚΍͍͔͢
    Ͱ͋Δ͔
    

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12. ෼ࢠؒͷྨࣅ౓ͷܭࢉํ๏͸ʁ
    "#JDLFSUPOFUBMʹॻ͍͍ͯΔɽ

    2&%ͱ͍͏ఆྔతͳਪఆΛߦ͍ͬͯΔɽdͷؒʹ஋Λ࣋ͪɼ

    ʹ͍ۙ΄Ͳ%SVHMJLFOFTTΛ΋ͭɽ
    QED = exp
    (
    1
    n
    n
    ∑
    i=1
    ln di)
    ͜ͷத͕͚ۙΕ͹ༀΒ͍͠ͱ͍͑Δ
    EFTJSBCJMJUZGVODUJPOT
    

    B C D E F G͸ύϥϝʔλ
    d(x) = a +
    b
    [
    1 + exp (−
    x − c + d
    2
    e )]
    1 −
    1
    [
    1 + exp (−
    x − c − d
    2
    f )]
    Y෼ࢠهड़ࢠ
    

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13. ݁࿦
    7"&ϕʔεͷੜ੒ϞσϧΑΓ΋ߴ͍༗ޮੑͱ৽نੑͷ྆ํͰ

    ෼ࢠάϥϑΛੜ੒͢Δ͜ͱ͕Ͱ͖Δ
    ܭࢉ͕࣌ؒҎલͷγʔέϯγϟϧ("/ͱൺֱͯ͠ഒ଎͍܇࿅࣌ؒ
    ("/ͱڧԽֶशΛۦ࢖͍ͯ͠ΔͷͰɼϞʔυ่յ͕ى͜Γ΍͍͢

    ͦͷͨΊɼ৽حੑͷ͋Δάϥϑ͕ੜ੒͞Εʹ͘͘ͳΔ໰୊఺΋͋
    Δɽ
    

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