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MolGANの紹介

 MolGANの紹介

Oshita Noriaki

June 07, 2019
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  1. .PM("/ "OJNQMJDJUHFOFSBUJWFNPEFMGPSTNBMM NPMFDVMBSHSBQIT /JDPMB%F$BP 5IPNBT,JQG ൃදऀɿେԼൣߊ

  2. ຊ೔ͷ಺༰  .PM("/ͱ͸  (SBQI$POWPMVUJPOBM/FUXPSLͱ͸  ("/ͱ͸  .PM("/ͷΞʔΩςΫνϟʔ 

    ධՁࢦඪ  ֶशʹ͓͚Δ໰୊఺
  3. .PM("/ͱ͸ w ͓͓ͬ͟ͺʹ͍͏ͱ෼ࢠάϥϑΛੜ੒͠Α͏ͱ͍͏("/

  4. (SBQI$POWPMVUJPOBM/FUXPSL άϥϑϑʔϦΤม׵ άϥϑԽ

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

  6. ("/ min θ max ϕ x∼pdata (x) [logDϕ (x)] +

    z∼pz (z) [log(1 − Dϕ (Gθ (z))] ൑ผͰ͖ͳ͍Α͏ʹ͍ͨ͠ ൑ผ͍ͨ͠ (ʹΑͬͯੜ੒ͨ͠σʔλ ຊ෺ͷσʔλ͔Βֶश
  7. .PM("/ %JTDSJNJOBUPSσʔληοτͱ(FOFSBUPSΛࣝผ͢Δ 3FXBSEOFUXPSL(FOFSBUPSͰੜ੒͞Εͨ෼ࢠΛධՁ͢Δɽ (FOFSBUPS෼ࢠΛੜ੒͢Δɽ ɾͦΕͧΕͷ໾໨

  8. matrixX = [x1 , …, xN] T ∈ ℝN×T ֤෼ࢠ͸ແ޲άϥϑͰදݱͰ͖Δ

    લఏɿ A ∈ ℝN×N×YXIFSFAij ∈ ℝY ྡ઀ςϯιϧ ஫ऍߦྻ
  9. 3FXBSE/FUXPSL w άϥϑ৞ΈࠐΈ૚ʹجͮ͘ॱྻෆมหผث͓Αͼใु ωοτϫʔΫʢॴ๬ͷԽֶతੑ࣭ʹ޲͚ͨ3-ϕʔεͷ࠷ దԽͷͨΊʣ w ೖྗ͸άϥϑɼग़ྗ͸εΧϥʔ w %JTDSJNJOBUPSͱಉ͡ωοτϫʔΫΛ࢖༻͢Δɽ

  10. ධՁࢦඪ 4BNBOUBFUBM Uniqueness = ϢχʔΫαϯϓϧ ༗ޮαϯϓϧ Novelty = σʔληοτʹؚ·Εͳ͍༗ޮͳαϯϓϧ਺ ༗ޮͳαϯϓϧ਺

    Validity = 7BMJE਺ શͯͷੜ੒͞Εͨ෼ࢠ਺
  11. %SVHMJLFOFTTͲͷ͘Β͍Խ߹෺͕ༀʹͳΔՄೳੑ͕͋Δ͔
 4ZOUIFUJ[BCJMJUZ෼ࢠͷ߹੒ͷ༰қ͞ʢ೉қ౓ʣ
 4PMVCJMJUZ෼ࢠ͕Ͳͷఔ౓਌ਫੑ ਫʹ༹͚΍͍͔͢ Ͱ͋Δ͔

  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
  13. ݁࿦ 7"&ϕʔεͷੜ੒ϞσϧΑΓ΋ߴ͍༗ޮੑͱ৽نੑͷ྆ํͰ
 ෼ࢠάϥϑΛੜ੒͢Δ͜ͱ͕Ͱ͖Δ ܭࢉ͕࣌ؒҎલͷγʔέϯγϟϧ("/ͱൺֱͯ͠ഒ଎͍܇࿅࣌ؒ ("/ͱڧԽֶशΛۦ࢖͍ͯ͠ΔͷͰɼϞʔυ่յ͕ى͜Γ΍͍͢
 ͦͷͨΊɼ৽حੑͷ͋Δάϥϑ͕ੜ੒͞Εʹ͘͘ͳΔ໰୊఺΋͋ Δɽ