MolGANの紹介

Transcript

1. 
   .PM("/
   "O
   JNQMJDJU
   HFOFSBUJWF
   NPEFM
   GPS
   TNBMM
   NPMFDVMBS
   HSBQIT /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 .
   4DIMJDIULSVMM
   FU
   BM
    ٙ໰
   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("/ %JTDSJNJOBUPS
   
   σʔληοτͱ(FOFSBUPSΛࣝผ͢Δ 3FXBSE
   OFUXPSL
   
   (FOFSBUPSͰੜ੒͞Εͨ෼ࢠΛධՁ͢Δɽ
   (FOFSBUPS
   
   ෼ࢠΛੜ੒͢Δɽ ɾͦΕͧΕͷ໾໨
8. matrixX = [x1 , …, xN] T ∈ ℝN×T ֤෼ࢠ͸ແ޲άϥϑͰදݱͰ͖Δ લఏɿ A ∈ ℝN×N×Y
   XIFSF
   Aij ∈ ℝY ྡ઀ςϯιϧ ஫ऍߦྻ
9. 3FXBSE/FUXPSL w άϥϑ৞ΈࠐΈ૚ʹجͮ͘ॱྻෆมหผث͓Αͼใु ωοτϫʔΫʢॴ๬ͷԽֶతੑ࣭ʹ޲͚ͨ3-ϕʔεͷ࠷ దԽͷͨΊʣ
   w ೖྗ͸άϥϑɼग़ྗ͸εΧϥʔ
   w %JTDSJNJOBUPSͱಉ͡ωοτϫʔΫΛ࢖༻͢Δɽ
10. ධՁࢦඪ 4BNBOUB
    FU
    BM
     Uniqueness = ϢχʔΫαϯϓϧ ༗ޮαϯϓϧ Novelty = σʔληοτʹؚ·Εͳ͍༗ޮͳαϯϓϧ਺ ༗ޮͳαϯϓϧ਺ Validity = 7BMJE਺ શͯͷੜ੒͞Εͨ෼ࢠ਺
11. %SVHMJLFOFTT
    
    Ͳͷ͘Β͍Խ߹෺͕ༀʹͳΔՄೳੑ͕͋Δ͔
 4ZOUIFUJ[BCJMJUZ
    
    ෼ࢠͷ߹੒ͷ༰қ͞ʢ೉қ౓ʣ
 4PMVCJMJUZ
    
    ෼ࢠ͕Ͳͷఔ౓਌ਫੑ ਫʹ༹͚΍͍͔͢ Ͱ͋Δ͔
12. ෼ࢠؒͷྨࣅ౓ͷܭࢉํ๏͸ʁ "
    #JDLFSUPO
    FU
    BM
    
    ʹॻ͍͍ͯΔɽ
 2&%ͱ͍͏ఆྔతͳਪఆΛߦ͍ͬͯΔɽdͷؒʹ஋Λ࣋ͪɼ
 ʹ͍ۙ΄Ͳ%SVHMJLFOFTTΛ΋ͭɽ QED = exp ( 1 n n ∑ i=1 ln di) ͜ͷத͕͚ۙΕ͹ༀΒ͍͠ͱ͍͑Δ
    EFTJSBCJMJUZ
    GVODUJPOT 
 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