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Graph Neural Network

Graph Neural Network

KCS AI班 論文輪講会 #1-1

Keio Computer Society

November 10, 2021
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  1. $POW3FDVSSFOU0QFSBUPS άϥϑ৴߸ ͷεϖΫτϧྖҬͰͷ৞ΈࠐΈΛ࣮ߦ͢Δɻ x Spectral approaches ℱ(x) = UT x

    άϥϑ৴߸ ΛάϥϑϑʔϦΤม׵ ʹΑͬͯεϖΫτϧྖҬʹม׵͠ɺ৞ΈࠐΈΛߦ͏ɻ x ℱ ℱ−1(x) = Ux ৞ΈࠐΈԋࢉࢠΛ ͱ͢ΔͱɺҎԼͷΑ͏ͳ৞ΈࠐΈ͕ߦΘΕΔɻ G Convolution theorem G(x) = ℱ−1(ℱ(G) ⊙ ℱ(x)) = U(UTg ⊙ UT x) ͜͜Ͱ ͸ਖ਼نԽάϥϑϥϓϥγΞϯ U L = IN − D−1 2 AD−1 2 ͷݻ༗ϕΫτϧͷߦྻͰ͋Γɺ Λຬͨ͢ɻ ͸άϥϑͷ࣍਺ߦྻ  L = UΛUT D ͸άϥϑͷྡ઀ߦྻ  A IUUQTCVJMEFSTCPYDPSQTBOTBODPNFOUSZ
  2. 4LJQQJOH$POOFDUJPO T(ht) = σ(Wt ht + bt ), ht+1 =

    ht+1 ⊙ T(ht) + ht(1 − T(ht)) . Ұൠతʹ//ͷ૚Λਂ͍ͯ͘͘͠ͱޯ഑ফࣦ໰୊౳͕ى͜Γɺֶश͕ਐΈͮΒ͘ͳΔɻ )JHIXBZ($/)JHIXBZ/FUXPSLʹࣅͨ4LJQQJOH$POOFDUJPOΛ༻͍ͯ ҎԼͷΑ͏ͳωοτϫʔΫߏ଄Λߟ͑Δɻ ࢀߟIUUQTBHJSPCPUTDPNIJHIXBZOFUXPSLT