物理現象の性質を反映させたグラフニューラルネットワークによる偏微分方程式の学習

෺ཧݱ৅ͷੑ࣭Λ൓өͤͨ͞   άϥϑχϡʔϥϧωοτϫʔΫʹΑΔภඍ෼ํఔࣜͷֶश ೥݄೔ *#*4ඍ෼ํఔࣜ౳Ͱهड़͞ΕΔྗֶܥͱػցֶश ງߐਖ਼৴ גࣜձࣾՊֶܭࢉ૯߹ݚڀॴ
3*$04 ɹஜ೾େֶɹ+45͖͕͚͞

ࣗݾ঺հງߐਖ਼৴ • ઐ໳਺஋ղੳ ෺ཧγϛϡϨʔγϣϯ ͷػցֶश • ॴଐ -
גࣜձࣾՊֶܭࢉ૯߹ݚڀॴ 3*$04 - ஜ೾େֶγεςϜ৘ใ޻ֶݚڀ܈ത࢜ޙظ՝ఔ • म࢜ͷͱ͖ͷݚڀඇઢܗ෺ཧ ྗֶܥ • ͓΋ͳ࿦จ - M. Horie, et al. ICLR, 2021. - M. Horie and N. Mitsume. NeurIPS, 2022. • ͦͷଞ - +45͖͕͚͞ ෳࡶྲྀಈ ࠾୒ - ະ౿Ξυόϯετ࠾୒ 7BOEFS1PMৼಈࢠͷಉظݱ৅

ຊ೔ͷϝοηʔδ਺஋ղੳͷػցֶश͸೉͍͠ɾ͓΋͠Ζ͍ • ೉͠͞ - σʔλͷଐ͢Δۭ͕ؒՄม࣍ݩͰ͋Γଟ༷ͳܗঢ়Λ༗͢Δ - σʔλͷଐ͢Δۭ͕ؒ௒ߴ࣍ݩ
ສҎ্ Ͱ͋Δ͜ͱ͕ଟ͍ • ͓΋͠Ζ͞ - ෺ཧ΍਺஋ղੳख๏ͱҙ֎ͳͱ͜ΖͰͭͳ͕͍ͬͯΔ͜ͱ͕͋Δ - ਺ֶɾ෺ཧɾ޻ֶɾ࢈ۀʹ͓͍ͯͱͯ΋ॏཁͳର৅ ➡ ߴ଎ɾߴਫ਼౓ͳ༧ଌϞσϧ͸ΈΜͳ΄͍͠ʂ

໨࣍ • ภඍ෼ํఔࣜͷ਺஋ղੳ • *TP($/෺ཧݱ৅ͷੑ࣭Λ൓өͰ͖ΔػցֶशϞσϧ[Horie+ ICLR. 2021] •
1IZTJDT&NCFEEFE/FVSBM/FUXPSL 1&// *TP($/ͷ͞ΒͳΔߴ౓Խ[Horie+ NeurIPS. 2022] • ·ͱΊ [Horie+ ICLR. 2021] Masanobu Horie, Naoki Morita, Toshiaki Hishinuma, Yu Ihara, and Naoto Mitsume. Isometric transformation invariant and equivariant graph convolutional networks. In ICLR, 2021. [Horie+ NeurIPS. 2022] Masanobu Horie and Naoto Mitsume. Physics-Embedded Neural Networks: Graph Neural PDE Solvers with Mixed Boundary Conditions. In NeurIPS, 2022.

ภඍ෼ํఔࣜϩʔΧϧͳྔͰهड़͞Εͨํఔࣜ ྲྀମ ೤ • ଟม਺ యܕతʹ͸࣌ؒͱۭؒ ͷؔ਺ͷϩʔΧϧͳڍಈΛهड़͢Δํఔࣜ
• ೤ɾ೾ಈɾྲྀମ ਫ΍ۭؾͷྲྀΕ ͳͲ͞·͟·ͳ෺ཧݱ৅Λهड़ • ଟ͘ͷ৔߹ݫີʹղ͘͜ͱ͕೉͍ͨ͠Ί਺஋తͳղ๏͕࢖ΘΕΔˠ਺஋ղੳ ➡ ਺஋ղੳʹ͕͔͔࣌ؒΔ͜ͱ͕ଟ͍ͨΊɺػցֶशͰղΛ༧ଌͰ͖ͳ͍͔ʁ

೤֦ࢄํఔࣜ ภඍ෼ํఔࣜϩʔΧϧͳྔͰهड़͞Εͨํఔࣜ • ଟม਺ యܕతʹ͸࣌ؒͱۭؒ ͷؔ਺ͷϩʔΧϧͳڍಈΛهड़͢Δํఔࣜ • ೤ɾ೾ಈɾྲྀମ
ਫ΍ۭؾͷྲྀΕ ͳͲ͞·͟·ͳ෺ཧݱ৅Λهड़ • ଟ͘ͷ৔߹ݫີʹղ͘͜ͱ͕೉͍ͨ͠Ί਺஋తͳղ๏͕࢖ΘΕΔˠ਺஋ղੳ ྲྀମ ೤ <latexit sha1_base64="USILIFZQpeWK93wEzKMIHtgdlMw=">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</latexit> ⌦ ⇢ R3 @u @t = (u · r)u + 1 Re r · ru rp r · u = 0 u(x, t = 0) = uinit(x) u = uD (r ⌦ u)n = 0 /BWJFSr4UPLFTํఔࣜ <latexit sha1_base64="qh1SCxq77DXyObkCsgtzXjdAsys=">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</latexit> @u @t = ↵r · ru ➡ ਺஋ղੳʹ͕͔͔࣌ؒΔ͜ͱ͕ଟ͍ͨΊɺػցֶशͰղΛ༧ଌͰ͖ͳ͍͔ʁ

ภඍ෼ํఔࣜϩʔΧϧͳྔͰهड़͞Εͨํఔࣜ ೤֦ࢄํఔࣜ <latexit 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</latexit> @u @t =
↵r · ru <latexit 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EsHtNthssjNS0z2Idu8lyKZ6Nl/0U8CfPagN+VvMB305jZQv9vtvejd9q/wV1Di3pc5a3k+twGbeUW0NrRAr/NkVAapfiA1vs9LLFBl8CjFs97HtWf67R3zxyCTzL6FKgvcf2neHnvWhyRhbdwD0ediAxMghnym/3vEeIdUv8Wmq2DrlLXWr5Dmk8jkTFMUxwqWjXuZi2EO2t19fBcXMIyDldYryHmZJvrh/bTufXw57SDzDDS32sWpe9NvrYsrNFN0MEYLvY/9OBupx3boFIH+Swfc5ZNAB8s54FkrgwhEnIksbwp6BQ8rYnOcS708uS4Aw7HYws++GXwrxSDP71YWvcc5x4U+nfPy31HjZWQGgL/7y/rqaw31OWkb4lW3S6NWbGb+f6LFBQrqQr/hl4DqBwOMsyS/H5QQ3N1+s7Ta/juk+YurtZXV/1x5dfpq6Q8bzd8o/Wzh1wu/WfhuYXXhvxb+sLC3cLJwuRAu/O/Cnxb+vPCX19++Pnx98frKNv3xj5o+/7rg/by+/T8GpLXc</latexit> @u @t = ↵ @2u @x2 ࣍ݩͷ৔߹ α͸ਖ਼

ภඍ෼ํఔࣜϩʔΧϧͳྔͰهड़͞Εͨํఔࣜ <latexit 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x
Թ౓ ೤֦ࢄํఔࣜ <latexit 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</latexit> @u @t = ↵r · ru <latexit 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</latexit> @u @t = ↵ @2u @x2 ࣍ݩͷ৔߹ α͸ਖ਼

Թ౓ ೤֦ࢄํఔࣜ <latexit sha1_base64="qh1SCxq77DXyObkCsgtzXjdAsys=">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</latexit> @u @t = ↵r · ru <latexit 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</latexit> @u @t = ↵ @2u @x2 ࣍ݩͷ৔߹ α͸ਖ਼ ۭؒೋ֊ඍ෼ɹɹɹɹɹ͕ਖ਼ ˠपғ͔Β೤͕ೖͬͯ͘Δ <latexit 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</latexit> @2u/@x2

Թ౓ ೤֦ࢄํఔࣜ <latexit 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</latexit> @u @t = ↵r · ru <latexit 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EsHtNthssjNS0z2Idu8lyKZ6Nl/0U8CfPagN+VvMB305jZQv9vtvejd9q/wV1Di3pc5a3k+twGbeUW0NrRAr/NkVAapfiA1vs9LLFBl8CjFs97HtWf67R3zxyCTzL6FKgvcf2neHnvWhyRhbdwD0ediAxMghnym/3vEeIdUv8Wmq2DrlLXWr5Dmk8jkTFMUxwqWjXuZi2EO2t19fBcXMIyDldYryHmZJvrh/bTufXw57SDzDDS32sWpe9NvrYsrNFN0MEYLvY/9OBupx3boFIH+Swfc5ZNAB8s54FkrgwhEnIksbwp6BQ8rYnOcS708uS4Aw7HYws++GXwrxSDP71YWvcc5x4U+nfPy31HjZWQGgL/7y/rqaw31OWkb4lW3S6NWbGb+f6LFBQrqQr/hl4DqBwOMsyS/H5QQ3N1+s7Ta/juk+YurtZXV/1x5dfpq6Q8bzd8o/Wzh1wu/WfhuYXXhvxb+sLC3cLJwuRAu/O/Cnxb+vPCX19++Pnx98frKNv3xj5o+/7rg/by+/T8GpLXc</latexit> @u @t = ↵ @2u @x2 ࣍ݩͷ৔߹ α͸ਖ਼ ۭؒೋ֊ඍ෼ɹɹɹɹɹ͕ਖ਼ ˠपғ͔Β೤͕ೖͬͯ͘Δ <latexit 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kUvRTJTs/+qngS47NFgzt9gOhosbKB6t9t50bvrX+Ivv8S9L3PWcriwAdt5RbQylEBv8mRS+ql6IDW9z0ssUIX/KLxng48bz9TbO/qPQWaZeQtVFLj/Qr899mwEScLa2Aeiz70tTIAY8pn67xHjHVL1Fpuqgo1T1lq9QprPIp0zdVEcS1jV7kXuhTkod/fxXVxAGPtrnVeQ8zJN1MP7eT34+HLeQ+YZKG69j5P3ut9GH1copuhhtBYGH0dxNpGP3dApfPWXDrjLZ74KliHgWSv8CLw487K8KeglPKx529NcqOXJVQEYTL0d/OybwW+FN87zu7Vl53HOaaFO57z8F9R4GekB4O/Rqrr6VkN1TpqGeNXvUqsVm+n/n2hxiYK6VG/4JSBH/hjjLMnvxyX4d5++W1nv/h3S4sX1xtr6v629On+18tNW8zdKv1r6x6V/WvphaX3p35d+WjpYOlu6WgqWHpf+a+m/l/7n9fev//P1T6+btr/8RdPn+yXn5/XR/wFOi62u</latexit> @2u/@x2 ࣌ؒඍ෼ɹɹɹɹ͕ਖ਼ ˠԹ౓্͕͕Δ <latexit 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6onAS57PFjwN5iOB0sbqN7tdl707vqX+Msvce/LnLUcLW3ATl4RrQwl0Js8mZZ+qh5Ize7zEgtU4T8K79ngx1fP1Ns7+o9B5pl5C1UUuP9Cvz32bAxJwtrYB6LPvW1MgBjymfrvEeMdUvUWm6qCjVPWWr1Cms8jnTN1URxLWNfuRe6FOSh39/FdXEAY+xudV5DzMk3Uw/tFPfjx5aKHzDNQ3GYfJ+91v1d9XKGYoofRWhioP9GZysdu6BS++ksH3OWhr4JlBHjWCj8CL868LG8KegkPG97OLBdqeXJVAAYzbxc/+2bwG+FN8vxuY9V5nHNWqNM5L/8JNV5GegD4e7yurr7VUJ2TpiFe9bvUasVm+v8nWlyioC7VG34JyLE/wThL8vtJCf7dp+/WNrt/h7R8cf1qY/NfNl6fv177w3bzN0q/WPn7lX9Y+X5lc+VfV/6wcrgyXLlaCVbKlf9c+a+V/37zqzev3vz2ze9M05//rOnzdyvOz5vd/wWHN6wH</latexit> @u/@t

Թ౓ ೤֦ࢄํఔࣜ <latexit 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KUDuu0wWRTmJSb7kG3RS5lO9ey/6icBPns4mPE3mA4HCxuo3+32XvTu+lf4K6hw76uCtTxf2ICtoiZaG1qg10U6roJMP5Ca3BcVFqgyeJTi2eDHV8/02zvmj0GmuX0LVZa4/9K8PfZsCGnK2rgHos/FJiZADPlc//eI8Q6ZfotNV8HWKWutXyEtprHJmaYoThSsGveyEFEB2t19cpeUECXBWucV5KLKUv3wftYMfnw56yGLHDS33sepe9PvVR9XaqbsYYwWBj8Ok3ysHruhUwb6Lx1wl08DHSzngGetDGIQSS7yoi3oFTysia1JIfXyFLoADCdiGz/75vBrKUZFcbe27D3OOSn16VxU/4war2IzAPw9XNVX32qoz0nbEK/6XRq1YjPz/xMtLlBQF/oNvxTUMBhhnKXF/aiC4O7Tdyvr3b9DWry4erW2/q9rr9+9Xvn9Zvs3Sr9Y+selXy19v7S+9G9Lv1/aXzpdulwKl/5z6b+W/nvpf96svjl7c/vmg23685+1ff5hyft5E/0fflu3Ow==</latexit> @u @t = ↵r · ru <latexit 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</latexit> @u @t = ↵ @2u @x2 ࣍ݩͷ৔߹ α͸ਖ਼ ۭؒೋ֊ඍ෼ɹɹɹɹɹ͕ਖ਼ ˠपғ͔Β೤͕ೖͬͯ͘Δ <latexit 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</latexit> @2u/@x2 ࣌ؒඍ෼ɹɹɹɹ͕ਖ਼ ˠԹ౓্͕͕Δ <latexit 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</latexit> 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x Թ౓ ۭؒೋ֊ඍ෼ɹɹɹɹɹ͕ྵ ˠ೤͕ೖΔ෼͚ͩग़͍ͯ͘ <latexit 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</latexit> @2u/@x2 ࣌ؒඍ෼ɹɹɹɹ͕ྵ ˠԹ౓͸มΘΒͳ͍ <latexit 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</latexit> @u/@t

Թ౓ ೤֦ࢄํఔࣜ <latexit 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</latexit> @u @t = ↵r · ru <latexit 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</latexit> @u @t = ↵ @2u @x2 ࣍ݩͷ৔߹ α͸ਖ਼ ۭؒೋ֊ඍ෼ɹɹɹɹɹ͕ਖ਼ ˠपғ͔Β೤͕ೖͬͯ͘Δ <latexit 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</latexit> @2u/@x2 ࣌ؒඍ෼ɹɹɹɹ͕ਖ਼ ˠԹ౓্͕͕Δ <latexit 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</latexit> 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x Թ౓ ۭؒೋ֊ඍ෼ɹɹɹɹɹ͕ྵ ˠ೤͕ೖΔ෼͚ͩग़͍ͯ͘ <latexit 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</latexit> @2u/@x2 ࣌ؒඍ෼ɹɹɹɹ͕ྵ ˠԹ౓͸มΘΒͳ͍ <latexit 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</latexit> 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x Թ౓ ۭؒೋ֊ඍ෼ɹɹɹɹɹ͕ෛ ˠपғ΁೤͕ಀ͍͛ͯ͘ <latexit 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</latexit> @2u/@x2 ࣌ؒඍ෼ɹɹɹɹ͕ਖ਼ ˠԹ౓্͕͕Δ <latexit 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</latexit> @u/@t

ภඍ෼ํఔࣜϩʔΧϧͳྔͰهड़͞Εͨํఔࣜ <latexit 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+l4sLSB6t1u50Xvrn+Jv/wS977MWcvh0gbs5BXRylACvc2TSemn6oHUdJ6XWKAK/1F4zwY/vHqm3t7Rfwwyy8xbqKLA/Rf67bFnI0gS1sY+EH3ubWMCxJDP1H+PGO+QqrfYVBVsnLLW6hXSfBbpnKmL4ljCunYvci/MQbmbx/dxAWHsb3ReQc7LNFEP7xf14IeXix4yz0Bxm32cnOt+r/q4QjFFD6O1MPhhFGcT+dgNncJXf+mAu3zuq2AZAp61wo/AizMvy5uCXsLDhrczzYVanlwVgMHU28XPvhn8RnjjPL/fWHUe55wV6nTOy39DjZeRHgD+Hq2rq681VOekaYhX/S61WrGZ/v+JFlcoqCv1hl8CcuSPMc6SfD4uwb//+M3aZvfvkJYvbl5tbP7HxuuL12u/227+RunnK/+88i8r365srvx25XcrhyvnK9crwQqs/O/KH1b++Pr/vn/+/fr3G6bpT3/S9PmnFefn+9/+P0slpuQ=</latexit> u Թ౓ <latexit 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</latexit>
@u @t = ↵r · ru <latexit 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EsHtNthssjNS0z2Idu8lyKZ6Nl/0U8CfPagN+VvMB305jZQv9vtvejd9q/wV1Di3pc5a3k+twGbeUW0NrRAr/NkVAapfiA1vs9LLFBl8CjFs97HtWf67R3zxyCTzL6FKgvcf2neHnvWhyRhbdwD0ediAxMghnym/3vEeIdUv8Wmq2DrlLXWr5Dmk8jkTFMUxwqWjXuZi2EO2t19fBcXMIyDldYryHmZJvrh/bTufXw57SDzDDS32sWpe9NvrYsrNFN0MEYLvY/9OBupx3boFIH+Swfc5ZNAB8s54FkrgwhEnIksbwp6BQ8rYnOcS708uS4Aw7HYws++GXwrxSDP71YWvcc5x4U+nfPy31HjZWQGgL/7y/rqaw31OWkb4lW3S6NWbGb+f6LFBQrqQr/hl4DqBwOMsyS/H5QQ3N1+s7Ta/juk+YurtZXV/1x5dfpq6Q8bzd8o/Wzh1wu/WfhuYXXhvxb+sLC3cLJwuRAu/O/Cnxb+vPCX19++Pnx98frKNv3xj5o+/7rg/by+/T8GpLXc</latexit> @u @t = ↵ @2u @x2 ࣍ݩͷ৔߹ α͸ਖ਼ <latexit 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tPxYGkD1bvdzoveXf8Sf/kl7n2Zs5bDpQ3YySuilaEEepsnk9JP1QOp6TwvsUAV/qPwng1+ePVMvb2j/xhklpm3UEWB+y/022PPRpAkrI19IPrc28YEiCGfqf8eMd4hVW+xqSrYOGWt1Suk+SzSOVMXxbGEde1e5F6Yg3I3j+/jAsLY3+i8gpyXaaIe3i/qwQ8vFz1knoHiNvs4Odf9XvVxhWKKHkZrYfDDKM4m8rEbOoWv/tIBd/ncV8EyBDxrhR+BF2deljcFvYSHDW9nmgu1PLkqAIOpt4uffTP4jfDGeX6/seo8zjkr1Omcl/+GGi8jPQD8PVpXV19rqM5J0xCv+l1qtWIz/f8TLa5QUFfqDb8E5MgfY5wl+Xxcgn//8Zu1ze7fIS1f3Lza2PyPjdcXr9d+t938jdLPV/555V9Wvl3ZXPntyu9WDlfOV65XghVY+d+VP6z88fX/ff/8+/XvN0zTn/6k6fNPK87P97/9f+pwpuc=</latexit> x ೤֦ࢄํఔࣜ • ہॴతͳڍಈͷ༧ଌΛશମʹுΓ߹ΘͤΔ͜ͱͰେҬతͳ༧ଌ͕Ͱ͖Δ

ภඍ෼ํఔࣜϩʔΧϧͳྔͰهड़͞Εͨํఔࣜ <latexit 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+l4sLSB6t1u50Xvrn+Jv/wS977MWcvh0gbs5BXRylACvc2TSemn6oHUdJ6XWKAK/1F4zwY/vHqm3t7Rfwwyy8xbqKLA/Rf67bFnI0gS1sY+EH3ubWMCxJDP1H+PGO+QqrfYVBVsnLLW6hXSfBbpnKmL4ljCunYvci/MQbmbx/dxAWHsb3ReQc7LNFEP7xf14IeXix4yz0Bxm32cnOt+r/q4QjFFD6O1MPhhFGcT+dgNncJXf+mAu3zuq2AZAp61wo/AizMvy5uCXsLDhrczzYVanlwVgMHU28XPvhn8RnjjPL/fWHUe55wV6nTOy39DjZeRHgD+Hq2rq681VOekaYhX/S61WrGZ/v+JFlcoqCv1hl8CcuSPMc6SfD4uwb//+M3aZvfvkJYvbl5tbP7HxuuL12u/227+RunnK/+88i8r365srvx25XcrhyvnK9crwQqs/O/KH1b++Pr/vn/+/fr3G6bpT3/S9PmnFefn+9/+P0slpuQ=</latexit> u Թ౓ <latexit 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</latexit>
@u @t = ↵r · ru <latexit 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</latexit> @u @t = ↵ @2u @x2 ࣍ݩͷ৔߹ α͸ਖ਼ <latexit 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tPxYGkD1bvdzoveXf8Sf/kl7n2Zs5bDpQ3YySuilaEEepsnk9JP1QOp6TwvsUAV/qPwng1+ePVMvb2j/xhklpm3UEWB+y/022PPRpAkrI19IPrc28YEiCGfqf8eMd4hVW+xqSrYOGWt1Suk+SzSOVMXxbGEde1e5F6Yg3I3j+/jAsLY3+i8gpyXaaIe3i/qwQ8vFz1knoHiNvs4Odf9XvVxhWKKHkZrYfDDKM4m8rEbOoWv/tIBd/ncV8EyBDxrhR+BF2deljcFvYSHDW9nmgu1PLkqAIOpt4uffTP4jfDGeX6/seo8zjkr1Omcl/+GGi8jPQD8PVpXV19rqM5J0xCv+l1qtWIz/f8TLa5QUFfqDb8E5MgfY5wl+Xxcgn//8Zu1ze7fIS1f3Lza2PyPjdcXr9d+t938jdLPV/555V9Wvl3ZXPntyu9WDlfOV65XghVY+d+VP6z88fX/ff/8+/XvN0zTn/6k6fNPK87P97/9f+pwpuc=</latexit> x ೤֦ࢄํఔࣜ • ֦ࢄํఔࣜ͸ؔ਺ͷԜತ ಛ௃ ΛݮΒ͢Α͏ʹ࣌ؒมԽ͢Δ - ֦ࢄաఔͷٯաఔΛֶश͠ϊΠζ͔Βಛ௃Λੜ੒͢Δͷ͕EJGGVTJPONPEFM • ہॴతͳڍಈͷ༧ଌΛશମʹுΓ߹ΘͤΔ͜ͱͰେҬతͳ༧ଌ͕Ͱ͖Δ

ภඍ෼ํఔࣜϩʔΧϧͳྔͰهड़͞Εͨํఔࣜ <latexit sha1_base64="qh1SCxq77DXyObkCsgtzXjdAsys=">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</latexit> @u @t = ↵r
· ru <latexit 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</latexit> @u @t = ↵ @2u @x2 ࣍ݩͷ৔߹ α͸ਖ਼ <latexit 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tPxYGkD1bvdzoveXf8Sf/kl7n2Zs5bDpQ3YySuilaEEepsnk9JP1QOp6TwvsUAV/qPwng1+ePVMvb2j/xhklpm3UEWB+y/022PPRpAkrI19IPrc28YEiCGfqf8eMd4hVW+xqSrYOGWt1Suk+SzSOVMXxbGEde1e5F6Yg3I3j+/jAsLY3+i8gpyXaaIe3i/qwQ8vFz1knoHiNvs4Odf9XvVxhWKKHkZrYfDDKM4m8rEbOoWv/tIBd/ncV8EyBDxrhR+BF2deljcFvYSHDW9nmgu1PLkqAIOpt4uffTP4jfDGeX6/seo8zjkr1Omcl/+GGi8jPQD8PVpXV19rqM5J0xCv+l1qtWIz/f8TLa5QUFfqDb8E5MgfY5wl+Xxcgn//8Zu1ze7fIS1f3Lza2PyPjdcXr9d+t938jdLPV/555V9Wvl3ZXPntyu9WDlfOV65XghVY+d+VP6z88fX/ff/8+/XvN0zTn/6k6fNPK87P97/9f+pwpuc=</latexit> x Թ౓ ೤֦ࢄํఔࣜ • ղੳྖҬͷڥքͰ͸ۭؒඍ෼͕Ͱ͖ͳ͍ͷͰ   ภඍ෼ํఔ͔ࣜΒ͸ղ͕ܾఆͰ͖ͳ͍

· ru <latexit 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</latexit> @u @t = ↵ @2u @x2 ࣍ݩͷ৔߹ α͸ਖ਼ <latexit 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tPxYGkD1bvdzoveXf8Sf/kl7n2Zs5bDpQ3YySuilaEEepsnk9JP1QOp6TwvsUAV/qPwng1+ePVMvb2j/xhklpm3UEWB+y/022PPRpAkrI19IPrc28YEiCGfqf8eMd4hVW+xqSrYOGWt1Suk+SzSOVMXxbGEde1e5F6Yg3I3j+/jAsLY3+i8gpyXaaIe3i/qwQ8vFz1knoHiNvs4Odf9XvVxhWKKHkZrYfDDKM4m8rEbOoWv/tIBd/ncV8EyBDxrhR+BF2deljcFvYSHDW9nmgu1PLkqAIOpt4uffTP4jfDGeX6/seo8zjkr1Omcl/+GGi8jPQD8PVpXV19rqM5J0xCv+l1qtWIz/f8TLa5QUFfqDb8E5MgfY5wl+Xxcgn//8Zu1ze7fIS1f3Lza2PyPjdcXr9d+t938jdLPV/555V9Wvl3ZXPntyu9WDlfOV65XghVY+d+VP6z88fX/ff/8+/XvN0zTn/6k6fNPK87P97/9f+pwpuc=</latexit> x Թ౓ ೤֦ࢄํఔࣜ • ڥք্ͷΈڥք৚݅ͱ͍͏௥Ճ৘ใΛ༩͑Δඞཁ͕͋Δ - %JSJDIMFUڥք৚݅ڥք্ͷղͷ஋Λ௚઀ࢦఆ - /FVNBOOڥք৚݅   ڥք্ͷ ๏ઢํ޲ͷ ඍ෼ͷ஋Λࢦఆ - ॳظ৚݅࣌ؒํ޲ͷ ͓΋ʹ࣌ࠁͰͷ ڥք৚݅ • ղੳྖҬͷڥքͰ͸ۭؒඍ෼͕Ͱ͖ͳ͍ͷͰ   ภඍ෼ํఔ͔ࣜΒ͸ղ͕ܾఆͰ͖ͳ͍

· ru <latexit 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</latexit> @u @t = ↵ @2u @x2 ࣍ݩͷ৔߹ α͸ਖ਼ <latexit 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tPxYGkD1bvdzoveXf8Sf/kl7n2Zs5bDpQ3YySuilaEEepsnk9JP1QOp6TwvsUAV/qPwng1+ePVMvb2j/xhklpm3UEWB+y/022PPRpAkrI19IPrc28YEiCGfqf8eMd4hVW+xqSrYOGWt1Suk+SzSOVMXxbGEde1e5F6Yg3I3j+/jAsLY3+i8gpyXaaIe3i/qwQ8vFz1knoHiNvs4Odf9XvVxhWKKHkZrYfDDKM4m8rEbOoWv/tIBd/ncV8EyBDxrhR+BF2deljcFvYSHDW9nmgu1PLkqAIOpt4uffTP4jfDGeX6/seo8zjkr1Omcl/+GGi8jPQD8PVpXV19rqM5J0xCv+l1qtWIz/f8TLa5QUFfqDb8E5MgfY5wl+Xxcgn//8Zu1ze7fIS1f3Lza2PyPjdcXr9d+t938jdLPV/555V9Wvl3ZXPntyu9WDlfOV65XghVY+d+VP6z88fX/ff/8+/XvN0zTn/6k6fNPK87P97/9f+pwpuc=</latexit> x Թ౓ • ೤֦ࢄͷ৔߹ɺڥք৚݅͸ղੳର৅ͷʮ֎ଆʯͷԹ౓΍೤ͳͲͷ৚݅Λهड़ ೤֦ࢄํఔࣜ • ڥք্ͷΈڥք৚݅ͱ͍͏௥Ճ৘ใΛ༩͑Δඞཁ͕͋Δ - %JSJDIMFUڥք৚݅ڥք্ͷղͷ஋Λ௚઀ࢦఆ - /FVNBOOڥք৚݅   ڥք্ͷ ๏ઢํ޲ͷ ඍ෼ͷ஋Λࢦఆ - ॳظ৚݅࣌ؒํ޲ͷ ͓΋ʹ࣌ࠁͰͷ ڥք৚݅ • ղੳྖҬͷڥքͰ͸ۭؒඍ෼͕Ͱ͖ͳ͍ͷͰ   ภඍ෼ํఔ͔ࣜΒ͸ղ͕ܾఆͰ͖ͳ͍

· ru <latexit 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</latexit> @u @t = ↵ @2u @x2 ࣍ݩͷ৔߹ α͸ਖ਼ <latexit 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tPxYGkD1bvdzoveXf8Sf/kl7n2Zs5bDpQ3YySuilaEEepsnk9JP1QOp6TwvsUAV/qPwng1+ePVMvb2j/xhklpm3UEWB+y/022PPRpAkrI19IPrc28YEiCGfqf8eMd4hVW+xqSrYOGWt1Suk+SzSOVMXxbGEde1e5F6Yg3I3j+/jAsLY3+i8gpyXaaIe3i/qwQ8vFz1knoHiNvs4Odf9XvVxhWKKHkZrYfDDKM4m8rEbOoWv/tIBd/ncV8EyBDxrhR+BF2deljcFvYSHDW9nmgu1PLkqAIOpt4uffTP4jfDGeX6/seo8zjkr1Omcl/+GGi8jPQD8PVpXV19rqM5J0xCv+l1qtWIz/f8TLa5QUFfqDb8E5MgfY5wl+Xxcgn//8Zu1ze7fIS1f3Lza2PyPjdcXr9d+t938jdLPV/555V9Wvl3ZXPntyu9WDlfOV65XghVY+d+VP6z88fX/ff/8+/XvN0zTn/6k6fNPK87P97/9f+pwpuc=</latexit> x Թ౓ • ೤֦ࢄͷ৔߹ɺڥք৚݅͸ղੳର৅ͷʮ֎ଆʯͷԹ౓΍೤ͳͲͷ৚݅Λهड़ ➡ ڥք৚͕݅ҟͳΕ͹ҟͳΔ໰୊ʹͳΔͨΊɺภඍ෼ํఔࣜ͸ڥք৚݅ͱϫϯηοτ ೤֦ࢄํఔࣜ • ڥք্ͷΈڥք৚݅ͱ͍͏௥Ճ৘ใΛ༩͑Δඞཁ͕͋Δ - %JSJDIMFUڥք৚݅ڥք্ͷղͷ஋Λ௚઀ࢦఆ - /FVNBOOڥք৚݅   ڥք্ͷ ๏ઢํ޲ͷ ඍ෼ͷ஋Λࢦఆ - ॳظ৚݅࣌ؒํ޲ͷ ͓΋ʹ࣌ࠁͰͷ ڥք৚݅ • ղੳྖҬͷڥքͰ͸ۭؒඍ෼͕Ͱ͖ͳ͍ͷͰ   ภඍ෼ํఔ͔ࣜΒ͸ղ͕ܾఆͰ͖ͳ͍

ภඍ෼ํఔࣜͷ਺஋ղੳ࣌ؒͱۭؒΛ཭ࢄԽ ͻͱͭͷྫ <latexit 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KUDuu0wWRTmJSb7kG3RS5lO9ey/6icBPns4mPE3mA4HCxuo3+32XvTu+lf4K6hw76uCtTxf2ICtoiZaG1qg10U6roJMP5Ca3BcVFqgyeJTi2eDHV8/02zvmj0GmuX0LVZa4/9K8PfZsCGnK2rgHos/FJiZADPlc//eI8Q6ZfotNV8HWKWutXyEtprHJmaYoThSsGveyEFEB2t19cpeUECXBWucV5KLKUv3wftYMfnw56yGLHDS33sepe9PvVR9XaqbsYYwWBj8Ok3ysHruhUwb6Lx1wl08DHSzngGetDGIQSS7yoi3oFTysia1JIfXyFLoADCdiGz/75vBrKUZFcbe27D3OOSn16VxU/4war2IzAPw9XNVX32qoz0nbEK/6XRq1YjPz/xMtLlBQF/oNvxTUMBhhnKXF/aiC4O7Tdyvr3b9DWry4erW2/q9rr9+9Xvn9Zvs3Sr9Y+selXy19v7S+9G9Lv1/aXzpdulwKl/5z6b+W/nvpf96svjl7c/vmg23685+1ff5hyft5E/0fflu3Ow==</latexit> @u @t =
↵r · ru <latexit 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EsHtNthssjNS0z2Idu8lyKZ6Nl/0U8CfPagN+VvMB305jZQv9vtvejd9q/wV1Di3pc5a3k+twGbeUW0NrRAr/NkVAapfiA1vs9LLFBl8CjFs97HtWf67R3zxyCTzL6FKgvcf2neHnvWhyRhbdwD0ediAxMghnym/3vEeIdUv8Wmq2DrlLXWr5Dmk8jkTFMUxwqWjXuZi2EO2t19fBcXMIyDldYryHmZJvrh/bTufXw57SDzDDS32sWpe9NvrYsrNFN0MEYLvY/9OBupx3boFIH+Swfc5ZNAB8s54FkrgwhEnIksbwp6BQ8rYnOcS708uS4Aw7HYws++GXwrxSDP71YWvcc5x4U+nfPy31HjZWQGgL/7y/rqaw31OWkb4lW3S6NWbGb+f6LFBQrqQr/hl4DqBwOMsyS/H5QQ3N1+s7Ta/juk+YurtZXV/1x5dfpq6Q8bzd8o/Wzh1wu/WfhuYXXhvxb+sLC3cLJwuRAu/O/Cnxb+vPCX19++Pnx98frKNv3xj5o+/7rg/by+/T8GpLXc</latexit> @u @t = ↵ @2u @x2 ࣍ݩͷ৔߹ α͸ਖ਼ ೤֦ࢄํఔࣜ <latexit 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+l4sLSB6t1u50Xvrn+Jv/wS977MWcvh0gbs5BXRylACvc2TSemn6oHUdJ6XWKAK/1F4zwY/vHqm3t7Rfwwyy8xbqKLA/Rf67bFnI0gS1sY+EH3ubWMCxJDP1H+PGO+QqrfYVBVsnLLW6hXSfBbpnKmL4ljCunYvci/MQbmbx/dxAWHsb3ReQc7LNFEP7xf14IeXix4yz0Bxm32cnOt+r/q4QjFFD6O1MPhhFGcT+dgNncJXf+mAu3zuq2AZAp61wo/AizMvy5uCXsLDhrczzYVanlwVgMHU28XPvhn8RnjjPL/fWHUe55wV6nTOy39DjZeRHgD+Hq2rq681VOekaYhX/S61WrGZ/v+JFlcoqCv1hl8CcuSPMc6SfD4uwb//+M3aZvfvkJYvbl5tbP7HxuuL12u/227+RunnK/+88i8r365srvx25XcrhyvnK9crwQqs/O/KH1b++Pr/vn/+/fr3G6bpT3/S9PmnFefn+9/+P0slpuQ=</latexit> u Թ౓ <latexit 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8F0PFjaQPVut/Oid9e/xF9+iXtf5qzlcGkDdvKKaGUogd7myaT0U/VAajrPSyxQhf8ovGeDn189U2/v6D8GmWXmLVRR4P4L/fbYsxEkCWtjH4g+97YxAWLIZ+q/R4x3SNVbbKoKNk5Za/UKaT6LdM7URXEsYV27F7kX5qDczeP7uIAw9jc6ryDnZZqoh/eLevDzy0UPmWeguM0+Ts51v1d9XKGYoofRWhj8PIqziXzshk7hq790wF0+91WwDAHPWuFH4MWZl+VNQS/hYcPbmeZCLU+uCsBg6u3iZ98MfhDeOM/vN1adxzlnhTqd8/IfUeNlpAeAv0fr6upbDdU5aRriVb9LrVZspv9/osUVCupKveGXgBz5Y4yzJJ+PS/DvP32/ttn9O6Tli5tXG5u/23h98Xrt99vN3yj9ZuXvVv5+5ceVzZV/Xvn9yuHK+cr1SrASrfznyn+t/Peb79788GbjzUvT9FffNX3+dsX5efOv/wvz2abE</latexit> 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</latexit> u(xi + x) <latexit 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</latexit> xi + x <latexit 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</latexit> xi x • ܭࢉػͰภඍ෼ํఔࣜΛղ͖΍͘͢͢ΔͨΊʹ   ۭؒΛ༗ݶݸͷ఺ʹ཭ࢄԽ

↵r · ru <latexit 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</latexit> @u @t = ↵ @2u @x2 ࣍ݩͷ৔߹ α͸ਖ਼ ೤֦ࢄํఔࣜ <latexit 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</latexit> @u @x (xi) ⇡ u(xi + x) u(xi) x <latexit 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+l4sLSB6t1u50Xvrn+Jv/wS977MWcvh0gbs5BXRylACvc2TSemn6oHUdJ6XWKAK/1F4zwY/vHqm3t7Rfwwyy8xbqKLA/Rf67bFnI0gS1sY+EH3ubWMCxJDP1H+PGO+QqrfYVBVsnLLW6hXSfBbpnKmL4ljCunYvci/MQbmbx/dxAWHsb3ReQc7LNFEP7xf14IeXix4yz0Bxm32cnOt+r/q4QjFFD6O1MPhhFGcT+dgNncJXf+mAu3zuq2AZAp61wo/AizMvy5uCXsLDhrczzYVanlwVgMHU28XPvhn8RnjjPL/fWHUe55wV6nTOy39DjZeRHgD+Hq2rq681VOekaYhX/S61WrGZ/v+JFlcoqCv1hl8CcuSPMc6SfD4uwb//+M3aZvfvkJYvbl5tbP7HxuuL12u/227+RunnK/+88i8r365srvx25XcrhyvnK9crwQqs/O/KH1b++Pr/vn/+/fr3G6bpT3/S9PmnFefn+9/+P0slpuQ=</latexit> u Թ౓ <latexit 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8F0PFjaQPVut/Oid9e/xF9+iXtf5qzlcGkDdvKKaGUogd7myaT0U/VAajrPSyxQhf8ovGeDn189U2/v6D8GmWXmLVRR4P4L/fbYsxEkCWtjH4g+97YxAWLIZ+q/R4x3SNVbbKoKNk5Za/UKaT6LdM7URXEsYV27F7kX5qDczeP7uIAw9jc6ryDnZZqoh/eLevDzy0UPmWeguM0+Ts51v1d9XKGYoofRWhj8PIqziXzshk7hq790wF0+91WwDAHPWuFH4MWZl+VNQS/hYcPbmeZCLU+uCsBg6u3iZ98MfhDeOM/vN1adxzlnhTqd8/IfUeNlpAeAv0fr6upbDdU5aRriVb9LrVZspv9/osUVCupKveGXgBz5Y4yzJJ+PS/DvP32/ttn9O6Tli5tXG5u/23h98Xrt99vN3yj9ZuXvVv5+5ceVzZV/Xvn9yuHK+cr1SrASrfznyn+t/Peb79788GbjzUvT9FffNX3+dsX5efOv/wvz2abE</latexit> 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</latexit> u(xi + x) <latexit 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</latexit> xi + x <latexit 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</latexit> xi x • ܭࢉػͰภඍ෼ํఔࣜΛղ͖΍͘͢͢ΔͨΊʹ   ۭؒΛ༗ݶݸͷ఺ʹ཭ࢄԽ

↵r · ru <latexit 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</latexit> @u @t = ↵ @2u @x2 ࣍ݩͷ৔߹ α͸ਖ਼ ೤֦ࢄํఔࣜ <latexit 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</latexit> @u @x (xi) ⇡ u(xi + x) u(xi) x <latexit 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</latexit> @2u @x2 (xi) ⇡ @ @x u(xi + x) u(xi) x ⇡ 1 ( x)  u(xi + x) u(xi) x u(xi) u(xi x) x = u(xi + x) 2u(xi) + u(xi x) ( x)2 <latexit 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+l4sLSB6t1u50Xvrn+Jv/wS977MWcvh0gbs5BXRylACvc2TSemn6oHUdJ6XWKAK/1F4zwY/vHqm3t7Rfwwyy8xbqKLA/Rf67bFnI0gS1sY+EH3ubWMCxJDP1H+PGO+QqrfYVBVsnLLW6hXSfBbpnKmL4ljCunYvci/MQbmbx/dxAWHsb3ReQc7LNFEP7xf14IeXix4yz0Bxm32cnOt+r/q4QjFFD6O1MPhhFGcT+dgNncJXf+mAu3zuq2AZAp61wo/AizMvy5uCXsLDhrczzYVanlwVgMHU28XPvhn8RnjjPL/fWHUe55wV6nTOy39DjZeRHgD+Hq2rq681VOekaYhX/S61WrGZ/v+JFlcoqCv1hl8CcuSPMc6SfD4uwb//+M3aZvfvkJYvbl5tbP7HxuuL12u/227+RunnK/+88i8r365srvx25XcrhyvnK9crwQqs/O/KH1b++Pr/vn/+/fr3G6bpT3/S9PmnFefn+9/+P0slpuQ=</latexit> u Թ౓ <latexit 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8F0PFjaQPVut/Oid9e/xF9+iXtf5qzlcGkDdvKKaGUogd7myaT0U/VAajrPSyxQhf8ovGeDn189U2/v6D8GmWXmLVRR4P4L/fbYsxEkCWtjH4g+97YxAWLIZ+q/R4x3SNVbbKoKNk5Za/UKaT6LdM7URXEsYV27F7kX5qDczeP7uIAw9jc6ryDnZZqoh/eLevDzy0UPmWeguM0+Ts51v1d9XKGYoofRWhj8PIqziXzshk7hq790wF0+91WwDAHPWuFH4MWZl+VNQS/hYcPbmeZCLU+uCsBg6u3iZ98MfhDeOM/vN1adxzlnhTqd8/IfUeNlpAeAv0fr6upbDdU5aRriVb9LrVZspv9/osUVCupKveGXgBz5Y4yzJJ+PS/DvP32/ttn9O6Tli5tXG5u/23h98Xrt99vN3yj9ZuXvVv5+5ceVzZV/Xvn9yuHK+cr1SrASrfznyn+t/Peb79788GbjzUvT9FffNX3+dsX5efOv/wvz2abE</latexit> 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</latexit> u(xi + x) <latexit 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</latexit> xi + x <latexit 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</latexit> xi x • ܭࢉػͰภඍ෼ํఔࣜΛղ͖΍͘͢͢ΔͨΊʹ   ۭؒΛ༗ݶݸͷ఺ʹ཭ࢄԽ <latexit 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</latexit> @2u @x2 (xi) ⇡ @ @x u(xi + x) u(xi) x ⇡ 1 ( x)  u(xi + x) u(xi) x u(xi) u(xi x) x = u(xi + x) 2u(xi) + u(xi x) ( x)2 <latexit 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</latexit> @2u @x2 (xi) ⇡ @ @x u(xi + x) u(xi) x ⇡ 1 ( x)  u(xi + x) u(xi) x u(xi) u(xi x) x = u(xi + x) 2u(xi) + u(xi x) ( x)2 <latexit sha1_base64="Q7/SHogD31woguginoMIKJo/t+Y=">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</latexit> @2u @x2 (xi) ⇡ @ @x u(xi + x) u(xi) x ⇡ 1 ( x)  u(xi + x) u(xi) x u(xi) u(xi x) x = u(xi + x) 2u(xi) + u(xi x) ( x)2 <latexit sha1_base64="Q7/SHogD31woguginoMIKJo/t+Y=">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</latexit> @2u @x2 (xi) ⇡ @ @x u(xi + x) u(xi) x ⇡ 1 ( x)  u(xi + x) u(xi) x u(xi) u(xi x) x = u(xi + x) 2u(xi) + u(xi x) ( x)2 <latexit sha1_base64="Q7/SHogD31woguginoMIKJo/t+Y=">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</latexit> @2u @x2 (xi) ⇡ @ @x u(xi + x) u(xi) x ⇡ 1 ( x)  u(xi + x) u(xi) x u(xi) u(xi x) x = u(xi + x) 2u(xi) + u(xi x) ( x)2

↵r · ru <latexit 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</latexit> @u @t = ↵ @2u @x2 ࣍ݩͷ৔߹ α͸ਖ਼ ೤֦ࢄํఔࣜ <latexit 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</latexit> @2u @x2 (xi) ⇡ @ @x u(xi + x) u(xi) x ⇡ 1 ( x)  u(xi + x) u(xi) x u(xi) u(xi x) x = u(xi + x) 2u(xi) + u(xi x) ( x)2 <latexit 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+l4sLSB6t1u50Xvrn+Jv/wS977MWcvh0gbs5BXRylACvc2TSemn6oHUdJ6XWKAK/1F4zwY/vHqm3t7Rfwwyy8xbqKLA/Rf67bFnI0gS1sY+EH3ubWMCxJDP1H+PGO+QqrfYVBVsnLLW6hXSfBbpnKmL4ljCunYvci/MQbmbx/dxAWHsb3ReQc7LNFEP7xf14IeXix4yz0Bxm32cnOt+r/q4QjFFD6O1MPhhFGcT+dgNncJXf+mAu3zuq2AZAp61wo/AizMvy5uCXsLDhrczzYVanlwVgMHU28XPvhn8RnjjPL/fWHUe55wV6nTOy39DjZeRHgD+Hq2rq681VOekaYhX/S61WrGZ/v+JFlcoqCv1hl8CcuSPMc6SfD4uwb//+M3aZvfvkJYvbl5tbP7HxuuL12u/227+RunnK/+88i8r365srvx25XcrhyvnK9crwQqs/O/KH1b++Pr/vn/+/fr3G6bpT3/S9PmnFefn+9/+P0slpuQ=</latexit> u Թ౓ <latexit 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8F0PFjaQPVut/Oid9e/xF9+iXtf5qzlcGkDdvKKaGUogd7myaT0U/VAajrPSyxQhf8ovGeDn189U2/v6D8GmWXmLVRR4P4L/fbYsxEkCWtjH4g+97YxAWLIZ+q/R4x3SNVbbKoKNk5Za/UKaT6LdM7URXEsYV27F7kX5qDczeP7uIAw9jc6ryDnZZqoh/eLevDzy0UPmWeguM0+Ts51v1d9XKGYoofRWhj8PIqziXzshk7hq790wF0+91WwDAHPWuFH4MWZl+VNQS/hYcPbmeZCLU+uCsBg6u3iZ98MfhDeOM/vN1adxzlnhTqd8/IfUeNlpAeAv0fr6upbDdU5aRriVb9LrVZspv9/osUVCupKveGXgBz5Y4yzJJ+PS/DvP32/ttn9O6Tli5tXG5u/23h98Xrt99vN3yj9ZuXvVv5+5ceVzZV/Xvn9yuHK+cr1SrASrfznyn+t/Peb79788GbjzUvT9FffNX3+dsX5efOv/wvz2abE</latexit> 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</latexit> u(xi + x) <latexit 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</latexit> xi + x <latexit 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</latexit> xi x • ܭࢉػͰภඍ෼ํఔࣜΛղ͖΍͘͢͢ΔͨΊʹ   ۭؒΛ༗ݶݸͷ఺ʹ཭ࢄԽ <latexit 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</latexit> @2u @x2 (xi) ⇡ @ @x u(xi + x) u(xi) x ⇡ 1 ( x)  u(xi + x) u(xi) x u(xi) u(xi x) x = u(xi + x) 2u(xi) + u(xi x) ( x)2 <latexit sha1_base64="Q7/SHogD31woguginoMIKJo/t+Y=">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</latexit> @2u @x2 (xi) ⇡ @ @x u(xi + x) u(xi) x ⇡ 1 ( x)  u(xi + x) u(xi) x u(xi) u(xi x) x = u(xi + x) 2u(xi) + u(xi x) ( x)2 • ۭؒඍ෼͸཭ࢄԽ͞Εͨ఺ͷ૬ޓ࡞༻Ͱදݱ͞ΕΔ

↵r · ru <latexit 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</latexit> @u @t = ↵ @2u @x2 ࣍ݩͷ৔߹ α͸ਖ਼ ೤֦ࢄํఔࣜ <latexit 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JpnaL5xHORxMIRZ80ZNrwZm4pmor/3lXWy9X9xkvJ32QHqSvbTTa7OnM57bW6dmkrM1bpFxMXPP3XyigHDWPElrU0NFc9StaBxB0XYts7FKgnuydEDbDpNFZl5isg/Z5r3k8VTP/qt+EuCzB70Zf4PpoDe3gfrdbu9F77Z/hb+CAve+yJjl2dwGbGUl0bqhBXqVxeMiSPQDqcldVmCBKoMHKZ72Pq0/1W/vmD8Gmab2LVSZ4/5L8/bY0z7EMbNxD0SfiU1MgBjyqf7vAeMdEv0Wm66CrVNmrV8hzaahyZmmKI4ULBv3MhOjDLS7u+g2ymEUBautV5CzIon1w/tZ1fv0YtZBZilobq2LU3em33oXl2sm72CMFnqf+lE6Vg/t0MkD/ZcOuMsngQ6WM8CzVgYhiCgVaVYX9AruV8XWJJN6eTJdAA4nYhs/+6bwWykGWXa7uug9zjnO9emcFf+MGi9CMwD83V/WV98y1OekNcSrbpdGrWhm/n/E4hwFda7f8ItB9YMBxlmc3Q0KCG5vvltaa/8d0vzF5frq2qvVl29fLv1xs/4bpV8u/GbhHxeeL6wt/GHhjwt7CycLFwvDJ//55L+e/PeT/3n1+1cXr/qvPlnTnz2p+/x6wft5Ff4fLqALHg==</latexit> @2u @x2 (xi) ⇡ @ @x u(xi + x) u(xi) x ⇡ 1 ( x)  u(xi + x) u(xi) x u(xi) u(xi x) x = u(xi + x) 2u(xi) + u(xi x) ( x)2 <latexit 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+l4sLSB6t1u50Xvrn+Jv/wS977MWcvh0gbs5BXRylACvc2TSemn6oHUdJ6XWKAK/1F4zwY/vHqm3t7Rfwwyy8xbqKLA/Rf67bFnI0gS1sY+EH3ubWMCxJDP1H+PGO+QqrfYVBVsnLLW6hXSfBbpnKmL4ljCunYvci/MQbmbx/dxAWHsb3ReQc7LNFEP7xf14IeXix4yz0Bxm32cnOt+r/q4QjFFD6O1MPhhFGcT+dgNncJXf+mAu3zuq2AZAp61wo/AizMvy5uCXsLDhrczzYVanlwVgMHU28XPvhn8RnjjPL/fWHUe55wV6nTOy39DjZeRHgD+Hq2rq681VOekaYhX/S61WrGZ/v+JFlcoqCv1hl8CcuSPMc6SfD4uwb//+M3aZvfvkJYvbl5tbP7HxuuL12u/227+RunnK/+88i8r365srvx25XcrhyvnK9crwQqs/O/KH1b++Pr/vn/+/fr3G6bpT3/S9PmnFefn+9/+P0slpuQ=</latexit> u Թ౓ <latexit 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8F0PFjaQPVut/Oid9e/xF9+iXtf5qzlcGkDdvKKaGUogd7myaT0U/VAajrPSyxQhf8ovGeDn189U2/v6D8GmWXmLVRR4P4L/fbYsxEkCWtjH4g+97YxAWLIZ+q/R4x3SNVbbKoKNk5Za/UKaT6LdM7URXEsYV27F7kX5qDczeP7uIAw9jc6ryDnZZqoh/eLevDzy0UPmWeguM0+Ts51v1d9XKGYoofRWhj8PIqziXzshk7hq790wF0+91WwDAHPWuFH4MWZl+VNQS/hYcPbmeZCLU+uCsBg6u3iZ98MfhDeOM/vN1adxzlnhTqd8/IfUeNlpAeAv0fr6upbDdU5aRriVb9LrVZspv9/osUVCupKveGXgBz5Y4yzJJ+PS/DvP32/ttn9O6Tli5tXG5u/23h98Xrt99vN3yj9ZuXvVv5+5ceVzZV/Xvn9yuHK+cr1SrASrfznyn+t/Peb79788GbjzUvT9FffNX3+dsX5efOv/wvz2abE</latexit> 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</latexit> u(xi + x) <latexit 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</latexit> xi + x <latexit 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</latexit> xi x • ܭࢉػͰภඍ෼ํఔࣜΛղ͖΍͘͢͢ΔͨΊʹ   ۭؒΛ༗ݶݸͷ఺ʹ཭ࢄԽ <latexit 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</latexit> @2u @x2 (xi) ⇡ @ @x u(xi + x) u(xi) x ⇡ 1 ( x)  u(xi + x) u(xi) x u(xi) u(xi x) x = u(xi + x) 2u(xi) + u(xi x) ( x)2 <latexit 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</latexit> @2u @x2 (xi) ⇡ @ @x u(xi + x) u(xi) x ⇡ 1 ( x)  u(xi + x) u(xi) x u(xi) u(xi x) x = u(xi + x) 2u(xi) + u(xi x) ( x)2 • ࣍ݩۭؒͰ͸ϐΫηϧʹରԠ • ۭؒඍ෼͸཭ࢄԽ͞Εͨ఺ͷ૬ޓ࡞༻Ͱදݱ͞ΕΔ

↵r · ru <latexit 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</latexit> @u @t = ↵ @2u @x2 ࣍ݩͷ৔߹ α͸ਖ਼ ೤֦ࢄํఔࣜ <latexit 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</latexit> @2u @x2 (xi) ⇡ @ @x u(xi + x) u(xi) x ⇡ 1 ( x)  u(xi + x) u(xi) x u(xi) u(xi x) x = u(xi + x) 2u(xi) + u(xi x) ( x)2 <latexit 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+l4sLSB6t1u50Xvrn+Jv/wS977MWcvh0gbs5BXRylACvc2TSemn6oHUdJ6XWKAK/1F4zwY/vHqm3t7Rfwwyy8xbqKLA/Rf67bFnI0gS1sY+EH3ubWMCxJDP1H+PGO+QqrfYVBVsnLLW6hXSfBbpnKmL4ljCunYvci/MQbmbx/dxAWHsb3ReQc7LNFEP7xf14IeXix4yz0Bxm32cnOt+r/q4QjFFD6O1MPhhFGcT+dgNncJXf+mAu3zuq2AZAp61wo/AizMvy5uCXsLDhrczzYVanlwVgMHU28XPvhn8RnjjPL/fWHUe55wV6nTOy39DjZeRHgD+Hq2rq681VOekaYhX/S61WrGZ/v+JFlcoqCv1hl8CcuSPMc6SfD4uwb//+M3aZvfvkJYvbl5tbP7HxuuL12u/227+RunnK/+88i8r365srvx25XcrhyvnK9crwQqs/O/KH1b++Pr/vn/+/fr3G6bpT3/S9PmnFefn+9/+P0slpuQ=</latexit> u Թ౓ <latexit 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8F0PFjaQPVut/Oid9e/xF9+iXtf5qzlcGkDdvKKaGUogd7myaT0U/VAajrPSyxQhf8ovGeDn189U2/v6D8GmWXmLVRR4P4L/fbYsxEkCWtjH4g+97YxAWLIZ+q/R4x3SNVbbKoKNk5Za/UKaT6LdM7URXEsYV27F7kX5qDczeP7uIAw9jc6ryDnZZqoh/eLevDzy0UPmWeguM0+Ts51v1d9XKGYoofRWhj8PIqziXzshk7hq790wF0+91WwDAHPWuFH4MWZl+VNQS/hYcPbmeZCLU+uCsBg6u3iZ98MfhDeOM/vN1adxzlnhTqd8/IfUeNlpAeAv0fr6upbDdU5aRriVb9LrVZspv9/osUVCupKveGXgBz5Y4yzJJ+PS/DvP32/ttn9O6Tli5tXG5u/23h98Xrt99vN3yj9ZuXvVv5+5ceVzZV/Xvn9yuHK+cr1SrASrfznyn+t/Peb79788GbjzUvT9FffNX3+dsX5efOv/wvz2abE</latexit> 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</latexit> u(xi + x) <latexit 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</latexit> xi + x <latexit 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</latexit> xi x • ܭࢉػͰภඍ෼ํఔࣜΛղ͖΍͘͢͢ΔͨΊʹ   ۭؒΛ༗ݶݸͷ఺ʹ཭ࢄԽ <latexit 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</latexit> @2u @x2 (xi) ⇡ @ @x u(xi + x) u(xi) x ⇡ 1 ( x)  u(xi + x) u(xi) x u(xi) u(xi x) x = u(xi + x) 2u(xi) + u(xi x) ( x)2 <latexit 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</latexit> @2u @x2 (xi) ⇡ @ @x u(xi + x) u(xi) x ⇡ 1 ( x)  u(xi + x) u(xi) x u(xi) u(xi x) x = u(xi + x) 2u(xi) + u(xi x) ( x)2 • ۭؒඍ෼͸཭ࢄԽ͞Εͨ఺ͷ૬ޓ࡞༻Ͱදݱ͞ΕΔ • ࣌ؒඍ෼΋ಉ༷ʹ཭ࢄԽ͢ΔͱɹɹɹɹɹɹɹɹɹɹͳͷͰɺ࣌ؒͱۭؒΛ཭ࢄԽ͢Δͱ <latexit sha1_base64="AcmaiCkcH+2w6mWHkxKsPD+Jf1k=">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</latexit> @u @t (t) ⇡ u(t + t) u(t) t <latexit sha1_base64="2VPtkZt6aQE122HoiLkqDXeIHRk=">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</latexit> u(t + t, xi) = u(t, xi) + ↵ t ( x)2 [u(xi + x) 2u(xi) + u(xi x)]

↵r · ru <latexit sha1_base64="ZjvTPtt0tpTIa+Ho6Ozjp3bvwl8=">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</latexit> @u @t = ↵ @2u @x2 ࣍ݩͷ৔߹ α͸ਖ਼ ೤֦ࢄํఔࣜ • ࣌ؒඍ෼΋ಉ༷ʹ཭ࢄԽ͢ΔͱɹɹɹɹɹɹɹɹɹɹͳͷͰɺ࣌ؒͱۭؒΛ཭ࢄԽ͢Δͱ <latexit sha1_base64="AcmaiCkcH+2w6mWHkxKsPD+Jf1k=">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</latexit> @u @t (t) ⇡ u(t + t) u(t) t • ཭ࢄԽ͞Εͨ఺ͷ   ͭͳ͕Γ͕   ෆنଇͳ͜ͱ΋͋Δ   ඇߏ଄ϝογϡ <latexit sha1_base64="2VPtkZt6aQE122HoiLkqDXeIHRk=">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</latexit> u(t + t, xi) = u(t, xi) + ↵ t ( x)2 [u(xi + x) 2u(xi) + u(xi x)] ➡ ਺஋ղੳσʔλ͸   ػցֶशख๏Ͱ   ѻ͍ʹ͍͘͜ͱ͕͋Δ

ภඍ෼ํఔࣜͷֶशͷ೉͠͞ܗঢ়ɾۭؒߏ଄ʹର͢Δ൚༻ੑ • ࣮༻తͳ਺஋ղੳσʔλ͸ػցֶशख๏ʹͱͬͯѻ͍ʹ͍͘ੑ࣭͕͋Δ

ภඍ෼ํఔࣜͷֶशͷ೉͠͞ܗঢ়ɾۭؒߏ଄ʹର͢Δ൚༻ੑ • ࣮༻తͳ਺஋ղੳσʔλ͸ػցֶशख๏ʹͱͬͯѻ͍ʹ͍͘ੑ࣭͕͋Δ ηϧ਺ ηϧ਺
- Մมࣗ༝౓ࣗ༝౓͕Մมͩͱݹయతͳػցֶशख๏Λͦͷ··ద༻͢Δ͜ͱ͕Ͱ͖ͳ͍

- Մมࣗ༝౓ࣗ༝౓͕Մมͩͱݹయతͳػցֶशख๏Λͦͷ··ద༻͢Δ͜ͱ͕Ͱ͖ͳ͍ ➡ ղੳྖҬͷܗঢ়ʹର͢Δ൚༻ੑ͕ඞཁ

- େࣗ༝౓ ສҎ্ ࣗ༝౓͕େ͖͍ͱऔΓ͏Δঢ়ଶ͕ଟ༷ʹͳΓֶश͕ࠔ೉ʹͳΔ • ը૾ೝࣝͷஶ໊ͳσʔληοτ$*'"3͸αϯϓϧ͋ͨΓࣗ༝౓ - Մมࣗ༝౓ࣗ༝౓͕Մมͩͱݹయతͳػցֶशख๏Λͦͷ··ద༻͢Δ͜ͱ͕Ͱ͖ͳ͍ ➡ ղੳྖҬͷܗঢ়ʹର͢Δ൚༻ੑ͕ඞཁ

ରশੑΛߟྀ͢Δ   ͜ͱʹΑΔ   ࣗ༝౓ͷফڈ - େࣗ༝౓ ສҎ্ ࣗ༝౓͕େ͖͍ͱऔΓ͏Δঢ়ଶ͕ଟ༷ʹͳΓֶश͕ࠔ೉ʹͳΔ • ը૾ೝࣝͷஶ໊ͳσʔληοτ$*'"3͸αϯϓϧ͋ͨΓࣗ༝౓ ➡ ߹ಉม׵ʹର͢ΔରশੑΛߟྀࣗ͠༝౓Λফڈ͢Δ͜ͱʹΑΔ൚༻ੑͷ޲্͕ඞཁ - Մมࣗ༝౓ࣗ༝౓͕Մมͩͱݹయతͳػցֶशख๏Λͦͷ··ద༻͢Δ͜ͱ͕Ͱ͖ͳ͍ ➡ ղੳྖҬͷܗঢ়ʹର͢Δ൚༻ੑ͕ඞཁ DGSannai+ UAI. 2021

• ղੳྖҬͷܗঢ়ʹର͢Δ൚༻ੑ - ਺஋ղੳͰ͸ଟ༷ͳܗঢ়ͷ   ղੳྖҬΛѻ͏ͨΊ  
೚ҙͷܗঢ়ʹద༻Ͱ͖Δ   ػցֶशϞσϧΛ༻͍Δඞཁ͕͋Δ ภඍ෼ํఔࣜͷֶशͷ೉͠͞ܗঢ়ɾۭؒߏ଄ʹର͢Δ൚༻ੑ

น ྲྀΕ ղੳྖҬ ղੳ݁Ռ ղੳ • ղੳྖҬͷܗঢ়ʹର͢Δ൚༻ੑ
- ਺஋ղੳͰ͸ଟ༷ͳܗঢ়ͷ   ղੳྖҬΛѻ͏ͨΊ   ೚ҙͷܗঢ়ʹద༻Ͱ͖Δ   ػցֶशϞσϧΛ༻͍Δඞཁ͕͋Δ • ߹ಉม׵ʹର͢Δରশੑ ภඍ෼ํఔࣜͷֶशͷ೉͠͞ܗঢ়ɾۭؒߏ଄ʹର͢Δ൚༻ੑ

น ྲྀΕ ղੳྖҬ ղੳ݁Ռ ղੳ ղੳ ճసɾฏߦҠಈ
• ղੳྖҬͷܗঢ়ʹର͢Δ൚༻ੑ - ਺஋ղੳͰ͸ଟ༷ͳܗঢ়ͷ   ղੳྖҬΛѻ͏ͨΊ   ೚ҙͷܗঢ়ʹద༻Ͱ͖Δ   ػցֶशϞσϧΛ༻͍Δඞཁ͕͋Δ • ߹ಉม׵ʹର͢Δରশੑ ภඍ෼ํఔࣜͷֶशͷ೉͠͞ܗঢ়ɾۭؒߏ଄ʹର͢Δ൚༻ੑ

• ղੳྖҬͷܗঢ়ʹର͢Δ൚༻ੑ - ਺஋ղੳͰ͸ଟ༷ͳܗঢ়ͷ   ղੳྖҬΛѻ͏ͨΊ   ೚ҙͷܗঢ়ʹద༻Ͱ͖Δ   ػցֶशϞσϧΛ༻͍Δඞཁ͕͋Δ - ಉҰͷ෺ཧݱ৅ΛҟͳΔࢹ఺͔Β   ؍ଌ͢Δͱ߹ಉม׵ E(n) Λड͚Δ͕   ݱ৅ͷຊ࣭͸มԽ͠ͳ͍   ˠE(n)ಉมੑ • ߹ಉม׵ʹର͢Δରশੑ ภඍ෼ํఔࣜͷֶशͷ೉͠͞ܗঢ়ɾۭؒߏ଄ʹର͢Δ൚༻ੑ

<latexit sha1_base64="mvyxVg25FBZi6dfG4Usep0GUHJM=">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</latexit> ( p 3/2, 1/2) <latexit sha1_base64="qKmbTMMrqeMrNhVLMXNyptPjL4Y=">AAA1hniclVtZc9xIcuaurzF9zdqPfqkwpdhZB0WLGsnrB4djeJNi8xBvUa1RoNHZaIi4hKoGSWHbv8Kv9v/yv3FWFQqZhQY1a0ZIRH5fVaKOLyuz0eCoSGKpXr7831/9+k/+9M/+/C+++8vlv/rrv/nbv/v+N39/JfNZGcJlmCd5eTMKJCRxBpcqVgncFCUE6SiB69HdluavKyhlnGcX6rGAj2kQZfEkDgOF0O0P62tvVsWrtfXfffp+5eXaS/MjFi/Wm4uVpebn9NNvXk+G4zycpZCpMAmk/LD+slAf66BUcZjAfHk4k1AE4V0QwQe8zIIU5MfaDHkuniMyFpO8xH+ZEgblPeoglfIxHWHLNFBT2eU02MuNUu/O9aP2LzujUZN/+1jHWTFTkIV2MJNZIlQu9BqJcVxCqJJHvAjCMsb5iHAalEGocCU97yq+++rfT49I5Xni37KugvI+HuOYPbQISnkXFz5oV8iDHnowfesX4RjBDO7DPE2DbFwPx/FkMv/w6mM9nOB467FYWZ/r/1/N50I8z8txnAWlnthkAiXuXBwkvoOi42FY6A0NEuOIDPTn94uztqO+qfgXYe6KN42zF1qd4o+4OW4J3Z5ujM74nZlPhz7tcpbFav5hHf2Jod6bMq0/rKx/NMuhOXEfq6mQX2ZBCWKEM74DJX0XgbIDSmCi1vRwhmUcTdUfPtWLyzCGBNe7A8pZUZgx/Fz/sLL+u24fORsZ9pMbIC51p8klrv0orS+7+JXFrxB/LjwGLAOL+1SUOc3n33E+q7iozZz+Y8HPVVDa5WvGpm3Tc1jTUgwX77/j9drp7+Mv80jaPrrlH9g6z5eXl5/rH3G8cy2ONi72xfbO7sHxwcXByfG5MNRy3wGxir9N+K/qUwFHeBSUd0JibOPZJ0U+EWFQ2Gt9EpWAGirjLNIHwTiuYumaTeJoVkJHFgjqkc5rXOxU/DDA64WtxTYhqhJK12rLWH3tzFxdszNt9LVSeeHaXORFX4tRrlSeukabxlpo18w7cM2Cp1qMXIvRUy1C1yJ8qsXYtRjrFrgN+zi7RM9QBALb64MWJhjOY4Frk/o+8FqDRhmo6IkwwaG97JpNsbuGxzisiiS/h/JFiOlwbRkjcWKWFSYr67XdwP8comWjq687DjdWQbImdlEMUuHRovde6h1D3nrcdR53ux4Nre5zd8+VV81dpXCNBM6oMV65HnjwjKnLyo8rrxe6rbZ93NWP3NVrM51zq+pvLgcq3w6+CQFvPXocuAWxvc9d7/Oe3meul0mi93kbZWvtwti7S7MybQw+sTRdh9MSoOuS+Vv5cdEjrRrz/eOi7yATgJugO/csGXyxc3ZNnp605wcPfCiF9mPd7DRudvrcbIgyuKd17zh78eJFUOXxWMykPpriiShyKWMs8KzrIgkwdBr/T49OVzAFRlLPHDVjuzdt/t+TbBxttY62ftERzjmLwJzBtq20Pgzcjgil4mjn6sWLJ2WCowuSKMeKbZr2zBM5O7q20TcnylwtzHTDudroceUE7+6Hk2h9ffswuPA6bfxip4VF1fVQM3OmPo3a4eqrb22K7d9V72nb/9Tv72ba3gBHra+fHHAjOIgTLdZEX9hEr68af5Mkz0tDmyvLm8umwbqpbBZqJFViIMxtyREGSb3dbVAFSTzmDT619Yml5gsuQar+DoaZtzOCQuocV8g4ybMmP52hizwVWPnHAUar0zeooNaeH1SWlyl6fTZE6NncLWfZoQNiRj4zIib0mZCYsc+MiQGfAWImPjMhJvKZiJipz0yJiX0mJuazz3wm5s5n7ohJfCaZGxmXqYglRix+9B0/6sPO7uCq+DyTSozz7LdK6A+gKMdHffJ4GyPSxnfm+87orrnP5MQUPlMQ88VnvhBT+kxJjPQZSYzyGUXMzGdmxFQ+UxFz7zP3xDz4zAMxjz7zSMxXn/k6t2WeCwDMzHl7vFdNkNQ2lEYTFjbtuNXURolrYWzGM47DI4JZbFQhwSwwqjHBLCoqIJiFRDUhmMVDFRHMgqGaEswioZoRzMKg+kwwi4HqjmAWAFVCcMLglOCUwWyh+QrnBDMxVwXBTMnVF4KZjKuSYKbhShIs+aYSrPrXhEu3IpjptronmIm2eiCYKbZ6JJjJtfpKsNPqTgL6QZb5tFf26Bas6HrPZbDK6z2Zwcqv92wGq8He0xmsEHvPZ7Bq7D2hwUqy94wGq8veUxq5J89psArtPanByrT3rAar1e5p7bjU51LOPXkSg5Vu71kMVr+9pzFYEfeex2CV3Hsig5Vz75kMVtO9pzJYYfeey2DV3Xsyg5V479kMVue9pzNYsfeez2AV//QJjbFQxmFboaQbFB8bFDbpJsGbDN4ieIvB2wRvM3iH4B0G7xK8y+A9gvcYvE/wPoMPCD5g8FuC3zL4kOBDBg8IHjD4iOAjBh8TfMzgE4JPGHxK8CmD3xH8jsFnBJ8x+JzgcwZfEHzB4EuCLxl8RfAVg68JvmbwDcE3DH5P8HsG3xJ8+/Tx6osOrOqYRjeYfo30GLfJuS2f2+Lcts9tc27H53Y4t+tzu5zb87k9zu373D7nDnzugHNvfe4t5w597pBzA58bcO7I5444d+xzx5w78bkTzp363Cnn3vncO86d+dwZ58597pxzFz53wblLn7vk3JXPXXHu2ueuOXfjczece+9z7zl363NO9le8hKi+gvkcgZ9dX7Z9qzyD2n2edVg6s9AwpaTR1sQa9+vhqoEZMrII1SGmCkGEqg9TeyBCNUfVjIQqDVNnIEL1hakuEKGqwtQUiFAtYSoJRKiCMPUDIlQ3mKoBEaoWTK2ASMLWwSJUGZi6AJGMrZ9FqAowNQAilPtN5keEMr7J94hQnjdZHhHJFtwilNOrZlvYplQWofxtsjcilLVNzkaEcrXJ1IhQhjb5GZG+atQvQ6sgKaZ6v83vVoHVqBGH0YUD6aMWPZloqCRIR2Pdw14QkacQadz8JthIUsvRAegQEfyfIBlHqe5qfhPshNuItp1IXfPx11qszkKxhmShUMdsUrX9UstaKNAJWSjOiCwU5pQsHC4bKwryM1koxju2NrUWYTvzWgvQWbiYbBVRfDlbklqLzlkoui9koeBKtlK1Flq7QLUWmbNwodkyo8AqslBc92ShsB7IQlE9koWC+jpvvvPCPPtgcZNjUWeUW01mRYQyqsmniFAeNVkUEcqeJneOUpYzTcZEhDKlyZOIUH402RERyoomJyJCudBkQkQoA5r8hwjlPZP1EKFsZ3IdIpTjTIZDhDKbyWuIUD4z2QwRymImhyFCuctkLkQoY5l8hQjlKZOlEKHsZHKT/b7WIVe1+6bWIdcWofxjsg8ilHVMzkGEco3JNIjcsh2kvDDiaSE9nTYH8RCv2Oq50NfMoAn/dnJNDGvu3MaxUdEFZFK/obENYRKUgKKabugTCO9oiz05ifWjUsjCfBxnEToLZolG5KS9Tue11E95z0E95WCUJ+NfcjN6mGMQdp/UZs23xyZvNv7MU+pmasrWl5lk6lebDiP9qy2HUQSobYdRDKgdh1EUqF2HURyoPYdRJKh9h1EsqAOHUTSotw6jeFCHDqOIUAOHUUyoI4dRVKhjh1FcqBOHUWSoU4dRbKh3DqPoUGcOo/hQ5w6jCFEXDqMYUZcOoyhRVw6jOFHXDqNIUTcOo1hR7x1G0aJuHWYrMhTyXhkUU8tG7nNu6H3ciDYZTLqIthhM0oi2GUzqiHYYTAKJdhlMGon2GEwyifYZTEqJDhhMYoneMpj0Eh0ymCQTDRhMqomOGEzCiY4ZTNqJThhM8olOGUwKit4xmEQUnTGYdBSdM5ikFF0wmNQUXTKYBBVdMZg0FV0zmGQV3TCYlBW9ZzCJK7plsKv4z83bQ5qW7VOUEROX3CSUtCW3CCVpyW1CjbKei23zTcZMggiEBCXw1gmMxc6qGEEYaFxNYynu81kyRggtENJ874G15KwU+pW6PEFH+n0XeCiwtjRf5rqv1HfpjqROuUcoiVPuE0ralAeEkjTlW0JJmfKQUBKmHBBKupRHhJIs5TGhpEp5QiiJUp4SSpqU7wglScozQkmR8pxQEqS8IJT0KC8JJTnKK0JJjfKaUBKjvCGUtCjfE0pSlLeEto9cMqz7wHyECOzDlqYIBKoABn7xr8vDDbJQqptkoUS3yEJpbpOFh90OWSiiXbJQPHtkoWj2yUKxHJCFInlLForjkCwUxYAsFMMRWSiCY7Jw80/Iwk0/JQs3+x1ZuMlnZOHmnpOFm3pBFm7mJVm4iVdk4eZdk4WbdkMWbtZ7snCTbtn9mkqrqbL0lgHfMmUrLjxSdPyat2QxiC26at5azGdKYLkj7jGlFVD6BRFQReRVQ83tVasB03ChEARTLkGnXgJTMEGnYgJTMkGnZgJTNEGnagJTNkGnbgJTOEGncgJTOkGndgJTPEGnegJTPkGnfgJTQEGnggJTQkGnhgJTREGnigJTRkGnjgJTSEGnkgJTSkGnlgJTTEGnmgJTTkGnngJTUEGnogJTUkGnpgJTVEGnqgJTVkGnrgJTWEGnsgJTWkGntgJTXEGnugJTXkGnvgJTYAGrsPCTAqYcVc5AzLIxlMmjfmlpHKhARJBBidlG27FEpY9mOvV0Xz/GpvO6+FQPy7Q2hkl82iukRVzGoXndl/q37w6OHk26M6+B6Jtgfuz4dm+ITAOFn9T9W3gtT3nL03nfYNJ8DMm3JmIatDOx1sJ9mkan32pUqDgZQ9NyaIx29G0PPCZUHk4DqV9WD2YqN5+goPRG2HmBtbBt2jE2XRYHMAavnTV72pVI4KHj2lkTtRCaZ2h+4yQokiCEeftGzaAB5uK5aK795V3uvF/cZryd7kAGkr20M+iyZ3Oe2zunZlqwNe6QSTl3z918ooRo3j5J61KhojlqK57EUHZdy3yi0uCBWjqg2w6TRW5eYrIP2Ra9FMlMz/6rfhLgs4eDOX+D6XCwsIH63W7vRe+uf4W/ghL3vsxZy/OFDdjKK6K1oQV6nSeTMkj1A6npfV5igSqDRymeDX5+9Uy/vWP+GGSW2bdQZYH7L83bY8+GkCSsjXsg+lxsYgLEkM/0f48Y75Dqt9h0FWydstb6FdJ8FpmcaYriWMGqcS9zMc5Bu7uP7+ICxnGw1nkFOS/TRD+8n9eDn1/Oe8g8A82t93Hq3vR71ccVmil6GKOFwc/DOJuox27oFIH+Swfc5dNAB8s54FkrgwhEnIksbwp6BQ9rYmuaS708uS4Aw6nYxs++GfxWilGe360te49zTgp9OuflP6PGy8gMAH8PV/XVtxrqc9I2xKt+l0at2Mz8/0SLCxTUhX7DLwE1DEYYZ0l+PyohuPv0/cp69++QFi+uXq2t/+va63evV37abP5G6bulf1z6p6UfltaXfr/009L+0unS5VK4lC3919J/L/3Pm+/erL158+b3tumvf9X0+Ycl7+fNT/8HXoKnjA==</latexit> (1.5, 2.1) <latexit 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</latexit> (1, 1) <latexit sha1_base64="BNxwav/+mswo7KuyGrImjgwDd1c=">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</latexit> (1, 0) • ղੳྖҬͷܗঢ়ʹର͢Δ൚༻ੑ - ਺஋ղੳͰ͸ଟ༷ͳܗঢ়ͷ   ղੳྖҬΛѻ͏ͨΊ   ೚ҙͷܗঢ়ʹద༻Ͱ͖Δ   ػցֶशϞσϧΛ༻͍Δඞཁ͕͋Δ - ಉҰͷ෺ཧݱ৅ΛҟͳΔࢹ఺͔Β   ؍ଌ͢Δͱ߹ಉม׵ E(n) Λड͚Δ͕   ݱ৅ͷຊ࣭͸มԽ͠ͳ͍   ˠE(n)ಉมੑ • ߹ಉม׵ʹର͢Δରশੑ - ௨ৗͷػցֶशϞσϧʹ͸   E(n)ಉมੑ͕ͳ͍ ภඍ෼ํఔࣜͷֶशͷ೉͠͞ܗঢ়ɾۭؒߏ଄ʹର͢Δ൚༻ੑ

• (SBQIOFVSBMOFUXPSL (// Λ࢖͏ ղܾࡦ • ղੳྖҬͷܗঢ়ʹର͢Δ൚༻ੑ
- ਺஋ղੳͰ͸ଟ༷ͳܗঢ়ͷ   ղੳྖҬΛѻ͏ͨΊ   ೚ҙͷܗঢ়ʹద༻Ͱ͖Δ   ػցֶशϞσϧΛ༻͍Δඞཁ͕͋Δ - ಉҰͷ෺ཧݱ৅ΛҟͳΔࢹ఺͔Β   ؍ଌ͢Δͱ߹ಉม׵ E(n) Λड͚Δ͕   ݱ৅ͷຊ࣭͸มԽ͠ͳ͍   ˠE(n)ಉมੑ • ߹ಉม׵ʹର͢Δରশੑ - ௨ৗͷػցֶशϞσϧʹ͸   E(n)ಉมੑ͕ͳ͍ ภඍ෼ํఔࣜͷֶशͷ೉͠͞ܗঢ়ɾۭؒߏ଄ʹର͢Δ൚༻ੑ

• (SBQIOFVSBMOFUXPSL (// Λ࢖͏ ղܾࡦ • ಉมੑ
FRVJWBSJBODF ͷ͋ΔϞσϧΛ࢖͏ • ղੳྖҬͷܗঢ়ʹର͢Δ൚༻ੑ - ਺஋ղੳͰ͸ଟ༷ͳܗঢ়ͷ   ղੳྖҬΛѻ͏ͨΊ   ೚ҙͷܗঢ়ʹద༻Ͱ͖Δ   ػցֶशϞσϧΛ༻͍Δඞཁ͕͋Δ - ಉҰͷ෺ཧݱ৅ΛҟͳΔࢹ఺͔Β   ؍ଌ͢Δͱ߹ಉม׵ E(n) Λड͚Δ͕   ݱ৅ͷຊ࣭͸มԽ͠ͳ͍   ˠE(n)ಉมੑ • ߹ಉม׵ʹର͢Δରশੑ - ௨ৗͷػցֶशϞσϧʹ͸   E(n)ಉมੑ͕ͳ͍ ภඍ෼ํఔࣜͷֶशͷ೉͠͞ܗঢ়ɾۭؒߏ଄ʹର͢Δ൚༻ੑ

• (SBQIOFVSBMOFUXPSL (// Λ࢖͏ ղܾࡦ • ಉมੑ
FRVJWBSJBODF ͷ͋ΔϞσϧΛ࢖͏ ➡E(n)ಉมੑ͕͋Γݹయతͳ਺஋ղੳΑΓ΋ߴ଎ͳ(//Λ࣮ݱ[Horie+ ICLR 2021] • ղੳྖҬͷܗঢ়ʹର͢Δ൚༻ੑ - ਺஋ղੳͰ͸ଟ༷ͳܗঢ়ͷ   ղੳྖҬΛѻ͏ͨΊ   ೚ҙͷܗঢ়ʹద༻Ͱ͖Δ   ػցֶशϞσϧΛ༻͍Δඞཁ͕͋Δ - ಉҰͷ෺ཧݱ৅ΛҟͳΔࢹ఺͔Β   ؍ଌ͢Δͱ߹ಉม׵ E(n) Λड͚Δ͕   ݱ৅ͷຊ࣭͸มԽ͠ͳ͍   ˠE(n)ಉมੑ • ߹ಉม׵ʹର͢Δରশੑ - ௨ৗͷػցֶशϞσϧʹ͸   E(n)ಉมੑ͕ͳ͍ ภඍ෼ํఔࣜͷֶशͷ೉͠͞ܗঢ়ɾۭؒߏ଄ʹର͢Δ൚༻ੑ

*TP($/E(n)ಉมੑ͕͋Γߴ଎ͳ(// શ݁߹χϡʔϥϧωοτϫʔΫ • શ݁߹ͷχϡʔϥϧωοτϫʔΫͰ͸ϝογϡ άϥϑ ͕มΘΔͱରԠͰ͖ͳ͍

શ݁߹χϡʔϥϧωοτϫʔΫ (// .FTTBHF   ؔ਺ 6QEBUFؔ਺ •
(SBQI/FVSBM/FUXPSL (// ͸ϝογϡͷߏ଄͕มΘͬͯ΋ಉ͡Ϟσϧ͕࢖͑Δ • શ݁߹ͷχϡʔϥϧωοτϫʔΫͰ͸ϝογϡ άϥϑ ͕มΘΔͱରԠͰ͖ͳ͍ *TP($/E(n)ಉมੑ͕͋Γߴ଎ͳ(//

શ݁߹χϡʔϥϧωοτϫʔΫ ➡ .FTTBHFؔ਺ͷܭࢉʹ͕͔͔࣌ؒΔ (// .FTTBHF   ؔ਺
6QEBUFؔ਺ • (SBQI/FVSBM/FUXPSL (// ͸ϝογϡͷߏ଄͕มΘͬͯ΋ಉ͡Ϟσϧ͕࢖͑Δ • શ݁߹ͷχϡʔϥϧωοτϫʔΫͰ͸ϝογϡ άϥϑ ͕มΘΔͱରԠͰ͖ͳ͍ *TP($/E(n)ಉมੑ͕͋Γߴ଎ͳ(//

(// .FTTBHF   ؔ਺ 6QEBUFؔ਺ • ۭؒඍ෼͸ɺ཭ࢄԽ͞Εͨ఺
άϥϑͷ௖఺ ͷہॴతͳ૬ޓ࡞༻ͱͯ͠දݱ͞Ε͍ͯͨ <latexit 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u Թ౓ <latexit 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8F0PFjaQPVut/Oid9e/xF9+iXtf5qzlcGkDdvKKaGUogd7myaT0U/VAajrPSyxQhf8ovGeDn189U2/v6D8GmWXmLVRR4P4L/fbYsxEkCWtjH4g+97YxAWLIZ+q/R4x3SNVbbKoKNk5Za/UKaT6LdM7URXEsYV27F7kX5qDczeP7uIAw9jc6ryDnZZqoh/eLevDzy0UPmWeguM0+Ts51v1d9XKGYoofRWhj8PIqziXzshk7hq790wF0+91WwDAHPWuFH4MWZl+VNQS/hYcPbmeZCLU+uCsBg6u3iZ98MfhDeOM/vN1adxzlnhTqd8/IfUeNlpAeAv0fr6upbDdU5aRriVb9LrVZspv9/osUVCupKveGXgBz5Y4yzJJ+PS/DvP32/ttn9O6Tli5tXG5u/23h98Xrt99vN3yj9ZuXvVv5+5ceVzZV/Xvn9yuHK+cr1SrASrfznyn+t/Peb79788GbjzUvT9FffNX3+dsX5efOv/wvz2abE</latexit> 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</latexit> u(xi + x) <latexit 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fuv+kmAzx4OZvwNpsPBwgbqd7u9F727/hX+Circ+6pgLc8XNmCrqInWhhbodZGOqyDTD6Qmd0WFBaoMHqR4Mvj44ol+e8f8Mcg0t2+hyhL3X5q3x54MIU1ZG/dA9KnYxASIIZ/r/x4w3iHTb7HpKtg6Za31K6TFNDY50xTFiYJV414WIipAu7tLbpMSoiRY67yCXFRZqh/ez5rBx+ezHrLIQXPrfZy6M/1e9HGlZsoexmhh8HGY5GP10A2dMtB/6YC7fBroYDkHPGtlEINIcpEXbUGv4H5NbE0KqZen0AVgOBHb+Nk3h99IMSqK27Vl73HOSalP56L6J9R4FZsB4O/hqr76VkN9TtqGeNXv0qgVm5n/H2lxgYK60G/4paCGwQjjLC3uRhUEt5++W1nv/h3S4sXVi7X1f117+eblyh82279R+vnS3y/9w9L3S+tL/7b0h6X9pdOly6VwqVr6r6X/XvqfV7989eLV71793jb96U/aPn+35P282v4/Vsqqew==</latexit> xi + x <latexit 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</latexit> xi x ➡ ۭؒඍ෼ԋࢉࢠΛͦͷ··NFTTBHFؔ਺ͱͯ͠ར༻Ͱ͖ͳ͍͔ʁ *TP($/E(n)ಉมੑ͕͋Γߴ଎ͳ(//

(// (SBEJFOU <latexit 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u9F77Z/hb+CEve+zFnLwdIG7OQV0drQAr3Jk0kZpPqB1PQ+L7FAlcGjFM96P716pt/eMX/NMcvsW6iywP2X5u2xZ0NIEtbGPRB9LrYxAWLIZ/q/R4x3SPVbbLoKtk5Za/0KaT6LTM40RXGsYN24l7kY56Dd3cd3cQHjONhovYKcl2miH94v5r2fXi46yDwDzW12cere9HvVxRWaKToYo4XeT8M4m6jHdugUgf5LB9zlfqCDZQB41sogAhFnIsvrgl7Bw4bYmeZSL0+uC8BwKnbxs28GP0gxyvO7jVXvcc5ZoU/nvPxb1HgZmQHg7+G6vvpWQ31O2oZ41e3SqBWbmf+faHGJgrrUb/gloIbBCOMsye9HJQR3n75f22z/IdHyxfWrjc2/33h9/mbtt9v1Hxn9auWvVv565ceVzZV/WPntyuFKf+VqJVzJV/515d9W/v3Nf7z5rzf//eZ/bNPvflH3+csV7+c33/0v1k6TAQ==</latexit> r .FTTBHF   ؔ਺ 6QEBUFؔ਺ • *TP($/[Horie et al. 2021]͸NFTTBHFؔ਺ʹ཭ࢄޯ഑ԋࢉࢠΛ༻͍ͯܭࢉͷߴ଎ԽΛ࣮ݱ͍ͯ͠Δ *TP($/E(n)ಉมੑ͕͋Γߴ଎ͳ(//

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r .FTTBHF   ؔ਺ 6QEBUFؔ਺ • *TP($/[Horie et al. 2021]͸NFTTBHFؔ਺ʹ཭ࢄޯ഑ԋࢉࢠΛ༻͍ͯܭࢉͷߴ଎ԽΛ࣮ݱ͍ͯ͠Δ • ೖྗͷճసʹରԠͯ͠༧ଌ݁Ռ͕ճస͢ΔͨΊɺE(n)ಉมੑ͕͋Δ *TP($/E(n)ಉมੑ͕͋Γߴ଎ͳ(//

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r .FTTBHF   ؔ਺ 6QEBUFؔ਺ • *TP($/[Horie et al. 2021]͸NFTTBHFؔ਺ʹ཭ࢄޯ഑ԋࢉࢠΛ༻͍ͯܭࢉͷߴ଎ԽΛ࣮ݱ͍ͯ͠Δ ➡ ภඍ෼ํఔࣜΛ൚༻ੑߴ͘ߴ଎ɾߴਫ਼౓ʹऔΓѻ͏͜ͱ͕ՄೳʹͳΔ • ೖྗͷճసʹରԠͯ͠༧ଌ݁Ռ͕ճస͢ΔͨΊɺE(n)ಉมੑ͕͋Δ *TP($/E(n)ಉมੑ͕͋Γߴ଎ͳ(//

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hrHin i i = M 1
i X j hin,j hin,i kxj xi k xj xi kxj xi k *TP($/ۭؒඍ෼Λ಺แͨ͠E(n)ಉมͳ(// <latexit 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=: 0 @ ˜ DxHin ˜ DyHin ˜ DzHin 1 A ௖఺্ͷಛ௃ྔ N × fin ߦྻɺN ͸௖఺਺ <latexit 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</latexit> Hin = (hin,1, hin,2, . . . , hin,N )> • ཻࢠϕʔεͷ਺஋ղੳख๏Ͱ͋Δ-4.14๏[Tamai+ Comp. Part. Mech. 2014]ͷޯ഑ϞσϧΛ༻͍Δ

i X j hin,j hin,i kxj xi k xj xi kxj xi k *TP($/ۭؒඍ෼Λ಺แͨ͠E(n)ಉมͳ(// 4MPQF <latexit 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=: 0 @ ˜ DxHin ˜ DyHin ˜ DzHin 1 A ௖఺্ͷಛ௃ྔ N × fin ߦྻɺN ͸௖఺਺ <latexit 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hXNUVvJOIGq61oWY5UF99TSAd12mCwK8xKTfci26KVMp3r2X/WTAJ89GMz4G0wHg4UN1O92ey96d/0r/BVUuPdVwVqeL2zAVlETrQ0t0OsiHVdBph9ITe6KCgtUGTxI8WTw8cUT/faO+WOQaW7fQpUl7r80b489GUKasjbugehTsYkJEEM+1/89YLxDpt9i01Wwdcpa61dIi2lscqYpihMFq8a9LERUgHZ3l9wmJURJsNZ5BbmoslQ/vJ81g4/PZz1kkYPm1vs4dWf6vejjSs2UPYzRwuDjMMnH6qEbOmWg/9IBd/kk0MFyDnjWyiAGkeQiL9qCXsH9mtiaFFIvT6ELwHAitvGzbw6/lGJUFLdry97jnONSn85F9Xeo8So2A8Dfw1V99a2G+py0DfGq36VRKzYz/z/S4gIFdaHf8EtBDYMRxlla3I0qCG4/fbey3v07pMWLqxdr6/+w9vL05crvNtu/UfrZ0t8s/e3S90vrS/+49LulvaWTpculcOk/lv5r6b+X/ufV6NW/vPrXV/9mm/70J22fv17yfl79+/8ClnjNfA==</latexit> Hin = (hin,1, hin,2, . . . , hin,N )> • ཻࢠϕʔεͷ਺஋ղੳख๏Ͱ͋Δ-4.14๏[Tamai+ Comp. Part. Mech. 2014]ͷޯ഑ϞσϧΛ༻͍Δ 4MPQF

i X j hin,j hin,i kxj xi k xj xi kxj xi k *TP($/ۭؒඍ෼Λ಺แͨ͠E(n)ಉมͳ(// 4MPQF 6OJUWFDUPS <latexit 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=: 0 @ ˜ DxHin ˜ DyHin ˜ DzHin 1 A ௖఺্ͷಛ௃ྔ N × fin ߦྻɺN ͸௖఺਺ <latexit 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</latexit> Hin = (hin,1, hin,2, . . . , hin,N )> • ཻࢠϕʔεͷ਺஋ղੳख๏Ͱ͋Δ-4.14๏[Tamai+ Comp. Part. Mech. 2014]ͷޯ഑ϞσϧΛ༻͍Δ 4MPQF 6OJUWFDUPS

i X j hin,j hin,i kxj xi k xj xi kxj xi k *TP($/ۭؒඍ෼Λ಺แͨ͠E(n)ಉมͳ(// 4MPQF 6OJUWFDUPS <latexit 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=: 0 @ ˜ DxHin ˜ DyHin ˜ DzHin 1 A ௖఺্ͷಛ௃ྔ N × fin ߦྻɺN ͸௖఺਺ <latexit sha1_base64="moOFbXTbMZPl4bxK35I2ZzSCj/Y=">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</latexit> Hin = (hin,1, hin,2, . . . , hin,N )> • εΧϥʔΛೖྗͯ͠ϕΫτϧΛग़ྗ͢Δ৔߹ <latexit sha1_base64="j6Y+sOl2lu0hs80rf375g6UG4kw=">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</latexit> IsoGCN0!1(Hin) = PointwiseEquivariantMLP 0 @ 0 @ ˜ DxHin ˜ DyHin ˜ DzHin 1 A 1 A ⇡ hrHin i • ཻࢠϕʔεͷ਺஋ղੳख๏Ͱ͋Δ-4.14๏[Tamai+ Comp. Part. Mech. 2014]ͷޯ഑ϞσϧΛ༻͍Δ 4MPQF 6OJUWFDUPS

i X j hin,j hin,i kxj xi k xj xi kxj xi k *TP($/ۭؒඍ෼Λ಺แͨ͠E(n)ಉมͳ(// 4MPQF 6OJUWFDUPS <latexit 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Mi = X l xl xi kxl xi k ⌦ xl xi kxl xi k wil <latexit 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=: 0 @ ˜ DxHin ˜ DyHin ˜ DzHin 1 A • εΧϥʔΛೖྗͯ͠ϕΫτϧΛग़ྗ͢Δ৔߹ • زԿϕΫτϧʹ.-1Λ௚઀ద༻͢Δͱಉมੑ͕յΕͯ͠·͏ͨΊϊϧϜʹͷΈ࡞༻ͤ͞Δ <latexit 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</latexit> IsoGCN0!1(Hin) = PointwiseEquivariantMLP 0 @ 0 @ ˜ DxHin ˜ DyHin ˜ DzHin 1 A 1 A ⇡ hrHin i <latexit sha1_base64="SvPBN7CleutKy8IN5WUHacvHVpY=">AAA2YHiclVtrc9tKcpV387hRHntv8i35gorsWt+UrLV0vc7WVpJaPS1Z1MN626btAskmCAsvY4agZC7zP/N1f0l6ejDsHhDy3VWVLcw5PY15nJ5uglCvSGKlnz//v0e/+OVf/fXf/O13f7f89//wj//0q+9/+OcrlY/LPlz28yQvb3qhgiTO4FLHOoGbooQw7SVw3bvdNvx1BaWK8+xC3xfwIQ2jLB7G/VAj9On7P3XTUI/KdHqax5mexAp2v4zjKizjMNNHndNZN4Ghfrr8tFtVn9ZXA/NrA38Ncq1s6/jHj12dF8vdMo5G+sfl3//3ct3HuTZunnavoNTUYT2g6x9tY/Uhsw1ptoFmdMuHrI+l9bEbDI3s0/crz9ee00+weLFeX6ws1T+nn354McSb9ccpZLqfhEq9X39e6A/TsNRxP4HZcnesoAj7t2EE7/EyC1NQH6a0GbPgCSKDYJiX+C/TAaGyxzRMlbpPe2hppqKanAFbuV7q3Xl6b/yrxmj08HcfpnFWjDVkfTuY4TgJdB6Y3Q8GcQl9ndzjRdgvY5xP0B+FZdjXqBHPu45vv/r3MyPSeZ74t5yiVibxAMfsoUVYqtu48EG7Qh5014KZWz/rDxDMYNLP0zTMBtPuIB4OZ+83Pky7QxzvdBCsrM/M/xuzWRA8yctBnIWlmdhwCCXuXBwmvoOi4aFbmA0NE3LEDfTn94uzeUdz0+A3Ad0Vbxpnz0zcBX/GzXFL+PZ8Y3Qm7yx8OvRhl+Ms1rP36+gvcEHxfmX9Ay2H4YJJrEeB+jIOSwh6OONb0Mp3EWo7IBOva2Y4Nm7++Gm6uAwDSHC9G6AaFwWN4eP06cr6j80+atwj9pMbIC51w+QS176XTi+b+JXFrxB/EngMWAYW96koc57Pf+F8VnFR6zn9z4Kfq7C0y1ePzbSpZ3fKS9FdvP+u12u3vY+/zD1l+xjLP4p1ni0vLz8xP8Hx7nVwtHmxH+zs7h0cH1wcnByfB0Qttx0Qq/ibwn/VnAo4wqOwvA0Uxjae6irIh0E/LOy1OYlKQA2VcRaZg2AQV7FyZsM4GpfQkAWCZqSzKS52Gjzt4PXC1qJNH1UJpbPaplabHc3VmZ3RwdxihSe1s7nIizaLXq51njqjLWot2NXzDp1Z+JBFz1n0HrLoO4v+QxYDZzEwFrgN+zi7xMwwCAO0NwctDDGcBwGuTer7wGsDkjJQ0cOAgsN42aNNsbuGxzisBkk+gfJZHxP9GiZCGNKywnBlfWo38H+72LLR1dYdhxvrMFkL9lAMSuPRYvZemR1D3nrccx73mh6J1pPc3XNlo76rCpxRgDOqGxuuBx48A+6y8tPKi4Vuq/M+7uon6eoFTefcqvqby4HKt4OvQ8BbjxYHbkFs73PX+7yl95nrRUl0ks+jbG2+MPbuilZmHoMPLE3T4agEaLoU/lZ+WvTIqyZ8/7ToO8wCwE0wnVuWDL7YOTuThyft+cEDH8rA+LFudms3u21uNoMynPC6N5w9e/YsrPJ4EIyVOZriYVDkSsVYulrXRRJi6NT+Hx6dqWAKjKSWORrGdq9t/uJJ1o625462f9YRzjmLgM5ga6usD4LnI0KpONq5evbsQZng6MIkyrFiG6Ut80TOjm5u9M2JClcLM910rjZbXDnBu/vhJOa+vn0YXHidNn+208KimnqonrlQn0HtcM3VtzbF9m+q93Te/9Tv72Y6vwGO2lw/OOBacBAnRqyJubCJ3lzV/oZJnpdE05Xl6bI2WKfKZqFG0iUGwsyWHP0wme40DaowiQfS4NO8PrHUbMElKN3egZjZfEZQKJPjChUneVbnpzN0kacBfUrEaHX6Bh1Ojec7neVlil4fdxF6PHPLWTbokJmez/SY6ftMn5mBzwyYAZ8BZoY+M2Qm8pmImZHPjJiJfSZm5rPPfGbm1mdumUl8JpmRjMs0iBVGLH6oH9ybw87u4Grweax0MMizX+vAfABFOd6bk8fbmCCtfWe+74zvmvtMzkzhMwUzX3zmCzOlz5TMKJ9RzGif0cyMfWbMTOUzFTMTn5kwc+czd8zc+8w9M1995uvMlnkuADAz5/PjvaqDZGpDqTcUYTMftx7ZKHEW1Ba84CTcY1jERtVnWARGNWBYREUFDIuQqIYMi3ioIoZFMFQjhkUkVGOGRRhUnxkWMVDdMiwCoEoYTgScMpwKWCy0XOGcYSHmqmBYKLn6wrCQcVUyLDRcKYaV3FSGdfuaSOlWDAvdVhOGhWirO4aFYqt7hoVcq68MO63uJmAeZNGnvbJFt2BF13oug1Ve68kMVn6tZzNYDbaezmCF2Ho+g1Vj6wkNVpKtZzRYXbae0sg9eE6DVWjrSQ1Wpq1nNVitNk9rx6U+l0ruwZMYrHRbz2Kw+m09jcGKuPU8Bqvk1hMZrJxbz2Swmm49lcEKu/VcBqvu1pMZrMRbz2awOm89ncGKvfV8Bqv4h09ojIUy7s8rlHST42OTwybdYnhLwNsMbwt4h+EdAe8yvCvgPYb3BPyK4VcC3md4X8AHDB8I+DXDrwV8yPChgDsMdwR8xPCRgI8ZPhbwCcMnAj5l+FTAbxh+I+Azhs8EfM7wuYAvGL4Q8CXDlwK+YvhKwNcMXwv4huEbAb9l+K2A3zH87uHj1RcdWNUJjW4K/ZL0BLcluW2f25bcjs/tSG7X53Ylt+dze5J75XOvJLfvc/uSO/C5A8m99rnXkjv0uUPJdXyuI7kjnzuS3LHPHUvuxOdOJHfqc6eSe+NzbyR35nNnkjv3uXPJXfjcheQufe5Sclc+dyW5a5+7ltyNz91I7q3PvZXcO59zsr+SJUT1FehzBH52fT7vW+UZTN3nWYelYwt1U04a85rY4H49XNWwQHoW4TqEqhBEuPqg2gMRrjmqeiRcaVCdgQjXF1RdIMJVBdUUiHAtQZUEIlxBUP2ACNcNVDUgwtUC1QqIJGIdLMKVAdUFiGRi/SzCVQDVAIhw7qfMjwhnfMr3iHCepyyPiBILbhHO6VW9LWJTKotw/qbsjQhnbcrZiHCupkyNCGdoys+ItFWjfhlahUkxMvtNv+cKrHq1OEgXDuSPWvxkoqaSMO0NTA97wUSeQmRw+s0wSdLI0QHoEBH8nyEVR6npSr8ZdsKtRTufyHQqxz81YnUtFGufWyjUgZjU1H6pZVso0CG3UJwRt1CYI27hcMVYUZCfuYVivBVrMzUinM98agToWriYYhVRfLlYkqkRnWuh6L5wCwVXipWaGqHNF2hqROZauNBimVFgFbdQXBNuobDuuIWiuucWCurrrP7OC/PsncUpx6LOOLdSZkWEMyrlU0Q4j1IWRYSzJ+XOXipyJmVMRDhTUp5EhPMjZUdEOCtSTkSEcyFlQkQ4A1L+Q4TzHmU9RDjbUa5DhHMcZThEOLNRXkOE8xllM0Q4i1EOQ4RzF2UuRDhjUb5ChPMUZSlEODtRbrLf1zrkauq+qXXItUU4/1D2QYSzDuUcRDjXUKZB5J3YQc4LPZkW0tNRfRB38Uqsngt9w3Tq8J9Pro5hw53bOCYVXUCmzBsaO9BPwhJQVKNNcwLhHW2xp4axeVQKWT8fxFmEzsJxYhA1nF+ns6kyT3nPQT/koJcng59z07ubYRA2n9Rm9bfHlDdrf/SUup6atvVlpoT69ZbDWP9622EcAXrHYRwDetdhHAV6z2EcB/qVwzgS9L7DOBb0gcM4GvRrh3E86EOHcUTojsM4JvSRwzgq9LHDOC70icM4MvSpwzg29BuHcXToM4dxfOhzh3GE6AuHcYzoS4dxlOgrh3Gc6GuHcaToG4dxrOi3DuNo0e8cZisyFPKrMixGlo3c59y+93Ej2hIw6yLaFjBLI9oRMKsj2hUwCyTaEzBrJHolYJZJtC9gVkp0IGAWS/RawKyX6FDALJmoI2BWTXQkYBZOdCxg1k50ImCWT3QqYFZQ9EbALKLoTMCso+hcwCyl6ELArKboUsAsqOhKwKyp6FrALKvoRsCsrOitgFlc0TsBu4r/nN4eMrSaP0XpCXGpLUZZW2qbUZaW2mGUlPUk2KFvMsYKgjBQoAO8dQKDYHc16EE/NLgexSqY5ONkgBC2IFD0vQfWkuMyMK/U5Qk6Mu+7wF2BtSV9meu+Ut/jO7I61StGWZxqn1HWpjpglKWpXjPKylSHjLIwVYdR1qU6YpRlqY4ZZVWqE0ZZlOqUUdakesMoS1KdMcqKVOeMsiDVBaOsR3XJKMtRXTHKalTXjLIY1Q2jrEX1llGWonrH6PyRS4Z1H9BHiNA+bKmLQOAKoOMX/6Y83OQWSnWLWyjRbW6hNHe4hYfdLrdQRHvcQvG84haKZp9bKJYDbqFIXnMLxXHILRRFh1sohiNuoQiOuYWbf8It3PRTbuFmv+EWbvIZt3Bzz7mFm3rBLdzMS27hJl5xCzfvmlu4aTfcws16yy3cpHfifnWlVVdZZstAbpm2FRceKSZ+6S1ZDGKLrtJbi/lYB1juBBNMaQWUfkEEXBF51VB9ez3XABkuFIJA5RI06iWgggkaFRNQyQSNmgmoaIJG1QRUNkGjbgIqnKBROQGVTtConYCKJ2hUT0DlEzTqJ6ACChoVFFAJBY0aCqiIgkYVBVRGQaOOAiqkoFFJAZVS0KilgIopaFRTQOUUNOopoIIKGhUVUEkFjZoKqKiCRlUFVFZBo64CKqygUVkBlVbQqK2AiitoVFdA5RU06iugAgtEhYWfFDDl6HIMwTgbQJncm5eWBqEOgwgyKDHbmHasUOm9sUk9zdeP0XQ2LT5Nu2U6pQYlPuMV0iIu4z697sv95+8O9u4p3dFrIOYmmB8bvt0bIqNQ4yd1/xae5am0PJ21DSbNB5B8ayJkMJ+JbS3cpzY6/ZZRoeNkALVllxrz0c974DGh8/4oVOZl9XCsc/oEBaU3wsYLrIW1mY+x7rI4gAF4drbZYlcigYeOs7NN1EKfnqH5xklYJGEfZvM3ajo1MAueBPW1v7zLjfeL5xlvtzmQjhIv7XSa7NlM5vbGqZkWYo0bZFLO3HM3nyghms2fpDWpvuY5mlY8jKFsulb5UKfhHVs6oGmHySKnl5jsQ7ZFL0UyNrP/ap4E+OxhZybfYDrsLGygebfbe9G76V/jr7DEvS9zYXm+sAHbecW0aRiBXufJsAxT80BqNMlLLFBVeK+Cx52PG4/N2zv0xyDjzL6Fqgrcf0Vvjz3uQpIIG/dA9EmwhQkQQz4z/91jvENq3mIzVbB1KqzNK6T5OKKcSUVxrGGV3Ks8GORg3E3i27iAQRyuNV5Bzss0MQ/vZ9POx+ezFjLPwHDrbZyeUL+NNq4wTNHCkBY6H7txNtT3zdApQvOXDrjLp6EJlnPAs1aFEQRxFmR5XdBruFsLtke5MsuTmwKwPwp28LNvBr9WQS/Pb9eWvcc5J4U5nfPyP1DjZUQDwN/dVXP1LUNzTlpDvGp3SWpFM/r/AYsLFNSFecMvAd0NexhnST7plRDefvp+Zb35d0iLF1cba+sv1168ebHyh636b5S+W/q3pX9ferq0vvSfS39Y2l86Xbpc6j/af5Q9mjy6++2fXn738lcvf7Cmv3hU9/mXJe/n5b/+P6TM9T0=</latexit> PointwiseEquivariantMLP (v1, v2, . . . , vN )> := (MLP(kv1 k)v1, MLP(kv2 k)v2, . . . , MLP(kvN k)vN )> 4MPQF 6OJUWFDUPS

i X j hin,j hin,i kxj xi k xj xi kxj xi k *TP($/ۭؒඍ෼Λ಺แͨ͠E(n)ಉมͳ(// 4MPQF 6OJUWFDUPS <latexit 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=: 0 @ ˜ DxHin ˜ DyHin ˜ DzHin 1 A ➡*TP($/͸ۭؒඍ෼ԋࢉࢠͷػցֶशϞσϧԽͱͱΒ͑Δ͜ͱ͕Ͱ͖Δ • εΧϥʔΛೖྗͯ͠ϕΫτϧΛग़ྗ͢Δ৔߹ • زԿϕΫτϧʹ.-1Λ௚઀ద༻͢Δͱಉมੑ͕յΕͯ͠·͏ͨΊϊϧϜʹͷΈ࡞༻ͤ͞Δ <latexit 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</latexit> IsoGCN0!1(Hin) = PointwiseEquivariantMLP 0 @ 0 @ ˜ DxHin ˜ DyHin ˜ DzHin 1 A 1 A ⇡ hrHin i <latexit sha1_base64="SvPBN7CleutKy8IN5WUHacvHVpY=">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</latexit> PointwiseEquivariantMLP (v1, v2, . . . , vN )> := (MLP(kv1 k)v1, MLP(kv2 k)v2, . . . , MLP(kvN k)vN )> 4MPQF 6OJUWFDUPS

*TP($/ۭؒඍ෼Λ಺แͨ͠E(n)ಉมͳ(// <latexit sha1_base64="j6Y+sOl2lu0hs80rf375g6UG4kw=">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</latexit> IsoGCN0!1(Hin) = PointwiseEquivariantMLP 0
@ 0 @ ˜ DxHin ˜ DyHin ˜ DzHin 1 A 1 A ⇡ hrHin i <latexit 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</latexit> IsoGCN1!0 0 @ 0 @ Hin,x Hin,y Hin,z 1 A 1 A = PointwiseEquivariantMLP ⇣ ˜ DxHin,x + ˜ DxHin,y + ˜ DxHin,z ⌘ ⇡ hr · Hin i • εΧϥʔΛೖྗͯ͠ϕΫτϧΛग़ྗ͢Δ৔߹ • ϕΫτϧΛೖྗͯ͠εΧϥʔΛग़ྗ͢Δ৔߹

*TP($/ۭؒඍ෼Λ಺แͨ͠E(n)ಉมͳ(// • εΧϥʔΛೖྗͯ͠ϕΫτϧΛग़ྗ͢Δ৔߹ <latexit 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</latexit> IsoGCN0!1(Hin) =
PointwiseEquivariantMLP 0 @ 0 @ ˜ DxHin ˜ DyHin ˜ DzHin 1 A 1 A ⇡ hrHin i <latexit 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</latexit> IsoGCN1!0 0 @ 0 @ Hin,x Hin,y Hin,z 1 A 1 A = PointwiseEquivariantMLP ⇣ ˜ DxHin,x + ˜ DxHin,y + ˜ DxHin,z ⌘ ⇡ hr · Hin i <latexit sha1_base64="QBk9xWPMxiF28xpgoh+GegaQlGU=">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</latexit> IsoGCN0!2(Hin) = PointwiseEquivariantMLP 0 @ 0 @ ˜ Dx ˜ DxHin ˜ Dx ˜ DyHin ˜ Dx ˜ DzHin ˜ Dy ˜ DxHin ˜ Dy ˜ DyHin ˜ Dy ˜ DzHin ˜ Dz ˜ DxHin ˜ Dz ˜ DyHin ˜ Dz ˜ DzHin 1 A 1 A ⇡ hr ⌦ rHin i • εΧϥʔΛೖྗͯ͠֊ςϯιϧΛग़ྗ͢Δ৔߹ • ϕΫτϧΛೖྗͯ͠εΧϥʔΛग़ྗ͢Δ৔߹

*TP($/ۭؒඍ෼Λ಺แͨ͠E(n)ಉมͳ(// <latexit sha1_base64="Lj2vLiZXsL5iWwnZegewBTxTSqc=">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</latexit> IsoGCN1!0 0 @ 0
@ Hin,x Hin,y Hin,z 1 A 1 A = PointwiseEquivariantMLP ⇣ ˜ DxHin,x + ˜ DxHin,y + ˜ DxHin,z ⌘ ⇡ hr · Hin i <latexit sha1_base64="QBk9xWPMxiF28xpgoh+GegaQlGU=">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</latexit> IsoGCN0!2(Hin) = PointwiseEquivariantMLP 0 @ 0 @ ˜ Dx ˜ DxHin ˜ Dx ˜ DyHin ˜ Dx ˜ DzHin ˜ Dy ˜ DxHin ˜ Dy ˜ DyHin ˜ Dy ˜ DzHin ˜ Dz ˜ DxHin ˜ Dz ˜ DyHin ˜ Dz ˜ DzHin 1 A 1 A ⇡ hr ⌦ rHin i • ϕΫτϧΛೖྗͯ͠εΧϥʔΛग़ྗ͢Δ৔߹ • εΧϥʔΛೖྗͯ͠֊ςϯιϧΛग़ྗ͢Δ৔߹ ➡೚ҙͷ֊਺ͷςϯιϧ͔Β೚ҙͷ֊਺ͷςϯιϧ΁ม׵͢Δ*TP($/͕ߏ੒Ͱ͖Δ • εΧϥʔΛೖྗͯ͠ϕΫτϧΛग़ྗ͢Δ৔߹ <latexit sha1_base64="j6Y+sOl2lu0hs80rf375g6UG4kw=">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</latexit> IsoGCN0!1(Hin) = PointwiseEquivariantMLP 0 @ 0 @ ˜ DxHin ˜ DyHin ˜ DzHin 1 A 1 A ⇡ hrHin i

*TP($/ۭؒඍ෼Λ಺แͨ͠E(n)ಉมͳ(// ➡೚ҙͷ֊਺ͷςϯιϧ͔Β೚ҙͷ֊਺ͷςϯιϧ΁ม׵͢Δ*TP($/͕ߏ੒Ͱ͖Δ ➡ςϯιϧͷܕʹΑͬͯ͞·͟·ͳۭؒඍ෼ԋࢉࢠʹରԠ ೖྗςϯιϧͷ֊਺ ग़ྗςϯιϧͷ֊਺ ରԠ͢Δۭؒඍ෼ԋࢉࢠ ਺ࣜ
(SBEJFOU %JWFSHFODF +BDPCJBO )FTTJBO <latexit 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rHin <latexit 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</latexit> r · Hin <latexit 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r ⌦ Hin <latexit sha1_base64="AVA9tgUS7dO1c6ccBPJncFFx7/8=">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</latexit> r ⌦ rHin

਺஋ղੳ݁Ռ ਖ਼ղ ޡࠩఔ౓   Ͱ੔߹ ֶशσʔλ ೖྗ
ग़ྗ ೤ղੳ *TP($/ ༧ଌ݁Ռ ֶश ༧ଌ େ෯ʹ   ҟͳΔܗঢ় • ෺ཧݱ৅ͷಛੑΛֶश͍ͯ͠ΔͨΊɺֶशσʔλͱେ෯ʹҟͳΔܗঢ়ʹ͍ͭͯ΋   ਫ਼౓ͷྼԽͳ͠ʹ༧ଌՄೳ - ඇઢܗ೤ղੳʹ͓͍ͯ༗༻ੑΛ֬ೝ • ݹయతͳ਺஋ղੳख๏ͱಉ৚݅Ͱൺֱͯ͠ʙഒఔ౓ߴ଎ *TP($/ܗঢ়ͷଟ༷ੑʹରͯ͠ߴ͍൚༻ੑ

1&//*TP($/ɾطଘͷయܕతͳ(//ͷ՝୊ • ہॴతͳ૬ޓ࡞༻ʹண໨͓ͯ͠Γ   ௕ڑ཭ͷ૬ޓ࡞༻͕ߟྀ͠ʹ͔ͬͨ͘ ඇѹॖੑྲྀΕ

• ہॴతͳ૬ޓ࡞༻ʹண໨͓ͯ͠Γ   ௕ڑ཭ͷ૬ޓ࡞༻͕ߟྀ͠ʹ͔ͬͨ͘ ඇѹॖੑྲྀΕ • ඇѹॖੑྲྀΕͰ͸
  ྲྀΕͷ৘ใ͕େҬతʹ   ఻೻͢Δ͜ͱ͕͋Δ 1&//*TP($/ɾطଘͷయܕతͳ(//ͷ՝୊

• ہॴతͳ૬ޓ࡞༻ʹண໨͓ͯ͠Γ   ௕ڑ཭ͷ૬ޓ࡞༻͕ߟྀ͠ʹ͔ͬͨ͘ ඇѹॖੑྲྀΕ ௨ৗͷ(// •
ඇѹॖੑྲྀΕͰ͸   ྲྀΕͷ৘ใ͕େҬతʹ   ఻೻͢Δ͜ͱ͕͋Δ 1&//*TP($/ɾطଘͷయܕతͳ(//ͷ՝୊

• ہॴతͳ૬ޓ࡞༻ʹண໨͓ͯ͠Γ   ௕ڑ཭ͷ૬ޓ࡞༻͕ߟྀ͠ʹ͔ͬͨ͘ ඇѹॖੑྲྀΕ ௨ৗͷ(// •
ඇѹॖੑྲྀΕͰ͸   ྲྀΕͷ৘ใ͕େҬతʹ   ఻೻͢Δ͜ͱ͕͋Δ • (//Ͱ͸ۙ๣ͷ৘ใͷΈΛ   औΓࠐΉͨΊେҬతͳ৘ใ͕   औΓࠐΈʹ͍͘ 1&//*TP($/ɾطଘͷయܕతͳ(//ͷ՝୊

• ہॴతͳ૬ޓ࡞༻ʹண໨͓ͯ͠Γ   ௕ڑ཭ͷ૬ޓ࡞༻͕ߟྀ͠ʹ͔ͬͨ͘ • %JSJDIMFUɺ/FVNBOOڥք৚݅ͷ  
ਫ਼៛ͳऔΓѻ͍͕Ͱ͖ͳ͔ͬͨ ऑ͍෩ ڧ͍෩ 1&//*TP($/ɾطଘͷయܕతͳ(//ͷ՝୊

ਫ਼៛ͳऔΓѻ͍͕Ͱ͖ͳ͔ͬͨ • ҟͳΔڥք৚݅͸   ҟͳΔ໰୊ʹରԠ͢ΔͨΊ   ڥք৚݅ͷਫ਼៛ͳऔΓѻ͍͸ඞਢ ऑ͍෩ ڧ͍෩ 1&//*TP($/ɾطଘͷయܕతͳ(//ͷ՝୊

ਫ਼៛ͳऔΓѻ͍͕Ͱ͖ͳ͔ͬͨ • ൓෮తͳඇઢܗιϧόʹΑΔӄղ๏Λ   ಋೖ͠େҬతͳ૬ޓ࡞༻Λߟྀ͢Δ 1&//*TP($/ɾطଘͷయܕతͳ(//ͷ՝୊ͷղܾࡦ

ਫ਼៛ͳऔΓѻ͍͕Ͱ͖ͳ͔ͬͨ • ػցֶशϞσϧ಺Ͱڥք৚݅Λ   ߟྀ͢ΔϞσϧΛ։ൃ͢Δ • ൓෮తͳඇઢܗιϧόʹΑΔӄղ๏Λ   ಋೖ͠େҬతͳ૬ޓ࡞༻Λߟྀ͢Δ 1&//*TP($/ɾطଘͷయܕతͳ(//ͷ՝୊ͷղܾࡦ

ਫ਼៛ͳऔΓѻ͍͕Ͱ͖ͳ͔ͬͨ • ൓෮తͳඇઢܗιϧόʹΑΔӄղ๏Λ   ಋೖ͠େҬతͳ૬ޓ࡞༻Λߟྀ͢Δ • ػցֶशϞσϧ಺Ͱڥք৚݅Λ   ߟྀ͢ΔϞσϧΛ։ൃ͢Δ Τϯίʔυ ɾ*TP($/ େҬ૬ޓ࡞༻ ɾڥք৚݅෇༩ σίʔυ ೖྗ ग़ྗ 1&//*TP($/ɾطଘͷయܕతͳ(//ͷ՝୊ͷղܾࡦ

ਫ਼៛ͳऔΓѻ͍͕Ͱ͖ͳ͔ͬͨ • ൓෮తͳඇઢܗιϧόʹΑΔӄղ๏Λ   ಋೖ͠େҬతͳ૬ޓ࡞༻Λߟྀ͢Δ • ػցֶशϞσϧ಺Ͱڥք৚݅Λ   ߟྀ͢ΔϞσϧΛ։ൃ͢Δ Τϯίʔυ ɾ*TP($/ େҬ૬ޓ࡞༻ ɾڥք৚݅෇༩ σίʔυ ೖྗ ग़ྗ 1IZTJDT&NCFEEFE   /FVSBM/FUXPSL 1&// 1&//*TP($/ɾطଘͷయܕతͳ(//ͷ՝୊ͷղܾࡦ

ඇѹॖੑྲྀΕ ௨ৗͷ(// • (//Ͱ͸ۙ๣ͷ৘ใͷΈΛ   औΓࠐΉͨΊେҬతͳ৘ใ͕  
औΓࠐΈʹ͍͘ (MPCBMQPPMJOHେҬతͳ৘ใͷඞཁੑ

औΓࠐΈʹ͍͘ શମͷฏۉ ΍NBYͳͲ (MPCBMQPPMJOH (MPCBMQPPMJOHେҬతͳ৘ใͷඞཁੑ

औΓࠐΈʹ͍͘ શମͷฏۉ ΍NBYͳͲ (MPCBMQPPMJOH • (MPCBMQPPMJOHΛಋೖ͢Δͱ   େҬతͳ৘ใΛऔΓࠐΊΔ - શମͷฏۉͳͲͷ   େҬతͳಛ௃Λ֤௖఺ʹ   ෼഑͢Δ (MPCBMQPPMJOHେҬతͳ৘ใͷඞཁੑ

औΓࠐΈʹ͍͘ શମͷฏۉ ΍NBYͳͲ ➡ ඇઢܗιϧόͷ஌ݟΛ༻͍Δͱ   ޮՌతʹHMPCBMQPPMJOH͕   (//ʹಋೖͰ͖Δ (MPCBMQPPMJOH • (MPCBMQPPMJOHΛಋೖ͢Δͱ   େҬతͳ৘ใΛऔΓࠐΊΔ - શମͷฏۉͳͲͷ   େҬతͳಛ௃Λ֤௖఺ʹ   ෼഑͢Δ (MPCBMQPPMJOHେҬతͳ৘ใͷඞཁੑ

औΓࠐΈʹ͍͘ શମͷฏۉ ΍NBYͳͲ ➡ ඇઢܗιϧόͷ஌ݟΛ༻͍Δͱ   ޮՌతʹHMPCBMQPPMJOH͕   (//ʹಋೖͰ͖Δ (MPCBMQPPMJOH • (MPCBMQPPMJOHΛಋೖ͢Δͱ   େҬతͳ৘ใΛऔΓࠐΊΔ - શମͷฏۉͳͲͷ   େҬతͳಛ௃Λ֤௖఺ʹ   ෼഑͢Δ ➡ /FVSBMOPOMJOFBSTPMWFS (MPCBMQPPMJOHେҬతͳ৘ใͷඞཁੑ

(MPCBMQPPMJOHඇઢܗιϧόͱͷؔ܎ <latexit sha1_base64="Sh6Dd4UOK+sQ4ZIFRANM0CazYa0=">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</latexit> @u @t (t, x)
= D(u)(t, x) (t, x) u(t = 0, x) = ˆ u0(x) u(t, x) = ˆ u(t, x) (t, x) 2 (0, T) ⇥ ˆ f(ru(t, x), n(x)) = 0 (t, x) 2 (0, T) ⇥ • ߟྀ͢Δภඍ෼ํఔࣜ

(MPCBMQPPMJOHඇઢܗιϧόͱͷؔ܎ <latexit sha1_base64="Sh6Dd4UOK+sQ4ZIFRANM0CazYa0=">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</latexit> @u @t (t, x)
= D(u)(t, x) (t, x) u(t = 0, x) = ˆ u0(x) u(t, x) = ˆ u(t, x) (t, x) 2 (0, T) ⇥ ˆ f(ru(t, x), n(x)) = 0 (t, x) 2 (0, T) ⇥ • ߟྀ͢Δภඍ෼ํఔࣜ ͸ ඇઢܗ ඍ෼࡞༻ૉ <latexit 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</latexit> @u @t (t, x) = D(u)(t, x) (t, x) 2 (0, T) ⇥ ⌦, u(t = 0, x) = ˆ u0(x) x 2 ⌦, u(t, x) = ˆ u(t, x) (t, x) 2 (0, T) ⇥ @⌦Dirichlet, ˆ f(ru(t, x), n(x)) = 0 (t, x) 2 (0, T) ⇥ @⌦Neumann, ೤֦ࢄํఔࣜͷ৔߹ <latexit sha1_base64="XD7DiaIdYmJT696VbPd+OVcNHu0=">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</latexit> Ddi↵usion(u) := ↵r · ru <latexit sha1_base64="mJCuhSN0qb8kM7Q5n8u9T59m8iY=">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</latexit> DNS(u) := (u · r)u + 1 Re r · ru rp, /BWJFSr4UPLFTํఔࣜͷ৔߹

• ภඍ෼ํఔࣜΛ   ӄత&VMFS๏Ͱ࣌ؒํ޲ʹ཭ࢄԽ <latexit sha1_base64="TiHtDjMTf16jDHcTZ7ey1wT4JYY=">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</latexit> u(t
+ t, xi) = u(t, xi) + D(u)(t + t, xi) t, <latexit sha1_base64="Sh6Dd4UOK+sQ4ZIFRANM0CazYa0=">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</latexit> @u @t (t, x) = D(u)(t, x) (t, x) u(t = 0, x) = ˆ u0(x) u(t, x) = ˆ u(t, x) (t, x) 2 (0, T) ⇥ ˆ f(ru(t, x), n(x)) = 0 (t, x) 2 (0, T) ⇥ • ߟྀ͢Δภඍ෼ํఔࣜ (MPCBMQPPMJOHඇઢܗιϧόͱͷؔ܎

+ t, xi) = u(t, xi) + D(u)(t + t, xi) t, <latexit sha1_base64="Sh6Dd4UOK+sQ4ZIFRANM0CazYa0=">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</latexit> @u @t (t, x) = D(u)(t, x) (t, x) u(t = 0, x) = ˆ u0(x) u(t, x) = ˆ u(t, x) (t, x) 2 (0, T) ⇥ ˆ f(ru(t, x), n(x)) = 0 (t, x) 2 (0, T) ⇥ • ߟྀ͢Δภඍ෼ํఔࣜ (MPCBMQPPMJOHඇઢܗιϧόͱͷؔ܎ ๯಄Ͱ঺հͨ࣌ؒ͠཭ࢄԽํ๏͸ཅత&VMFS๏ <latexit sha1_base64="sL2U+6GfNWqMTGapd+avBDa6bvw=">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</latexit> u(t + t, xi) = u(t, xi) + D(u)(t, xi) t, ˠ(//Ұ૚ 3FT/FUʹରԠ͓ͯ͠Γɺ૬ޓ࡞༻͸ہॴత

๯಄Ͱ঺հͨ࣌ؒ͠཭ࢄԽํ๏͸ཅత&VMFS๏ <latexit sha1_base64="sL2U+6GfNWqMTGapd+avBDa6bvw=">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</latexit> u(t + t, xi) =
u(t, xi) + D(u)(t, xi) t, ˠ(//Ұ૚ 3FT/FUʹରԠ͓ͯ͠Γɺ૬ޓ࡞༻͸ہॴత • ภඍ෼ํఔࣜΛ   ӄత&VMFS๏Ͱ࣌ؒํ޲ʹ཭ࢄԽ <latexit sha1_base64="TiHtDjMTf16jDHcTZ7ey1wT4JYY=">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</latexit> u(t + t, xi) = u(t, xi) + D(u)(t + t, xi) t, <latexit sha1_base64="Sh6Dd4UOK+sQ4ZIFRANM0CazYa0=">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</latexit> @u @t (t, x) = D(u)(t, x) (t, x) u(t = 0, x) = ˆ u0(x) u(t, x) = ˆ u(t, x) (t, x) 2 (0, T) ⇥ ˆ f(ru(t, x), n(x)) = 0 (t, x) 2 (0, T) ⇥ • ߟྀ͢Δภඍ෼ํఔࣜ (MPCBMQPPMJOHඇઢܗιϧόͱͷؔ܎

+ t, xi) = u(t, xi) + D(u)(t + t, xi) t, <latexit sha1_base64="iu341DxEEjFNpwkBYxkrVImsGsc=">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</latexit> R(v) := v u(t, ·) D(v) t Solvev R(v)(xi) = 0, 8i i͸ϝογϡ্ͷઅ఺ͷ൪߸ • ࢒ࠩR(v)Λఆٛ͠   ࢒͕ࠩྵͱͳΔղΛٻΊΔ <latexit 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</latexit> @u @t (t, x) = D(u)(t, x) (t, x) u(t = 0, x) = ˆ u0(x) u(t, x) = ˆ u(t, x) (t, x) 2 (0, T) ⇥ ˆ f(ru(t, x), n(x)) = 0 (t, x) 2 (0, T) ⇥ • ߟྀ͢Δภඍ෼ํఔࣜ (MPCBMQPPMJOHඇઢܗιϧόͱͷؔ܎

+ t, xi) = u(t, xi) + D(u)(t + t, xi) t, <latexit sha1_base64="iu341DxEEjFNpwkBYxkrVImsGsc=">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</latexit> R(v) := v u(t, ·) D(v) t Solvev R(v)(xi) = 0, 8i i͸ϝογϡ্ͷઅ఺ͷ൪߸ <latexit sha1_base64="dbhnWiHu8naaSuqVWiObMx53E44=">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</latexit> v(0) := u(t, ·) v(i+1) := v(i) ↵(i)R(v(i)) • ඇઢܗղ๏ͱͯ͠   ޯ഑߱Լ๏Λબ୒ • ࢒ࠩR(v)Λఆٛ͠   ࢒͕ࠩྵͱͳΔղΛٻΊΔ <latexit 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HojbF1gLWyd2RibJvMDGIJXzxY76pVI4KHj6tkiaiE079D8yklQJEEI09mNml4DTMUL0Tz7y7vYul88i3jb7YH0JLu002uzZ1Me21unZlqwNW6RSTl17918ooRoOnuT1qZCRXPUpXgUQ9k2LfORSoMHqumAdj0MFrm5xGRfss1bKZKJnv1X/SbAZw96U36D6aA3t4H6brd30bttX+GfoMS9L3NW83xuAzbzimhd0AK9zpNRGaT6hdT4Pi8xQZXBoxTPez+/fq5v75j/DDLJ7C1UWeD+S3N77HkfkoTVcS9EX4gNDIDo8pn+9Yj+Dqm+xaazYGuU1dZXSPNJZGKmSYpjBcvGvMzFMAdt7j6+iwsYxsFK6wpyXqaJfnk/rXs/r047yDwDza11ceretHvdxRWaKToYo4Xez/04G6nHtusUgf6fDrjLJ4F2lnPAs1YGEYg4E1neJPQKHlbE5jiXenlynQCGY7GFn30z+K0Ugzy/W1n0XuccF/p0zst/QI2XkRkA/u0v66dvVdTnpK2IT90mjVqxmvn9RI0LFNSFvuGXgOoHA/SzJL8flBDc3X6/tNb+f0jzD1evV9berrw5fbP0+43m/yj9euHvFv5+4eXC2sI/Lfx+YW/hZOFyIfzuf5796tn3z354W7/997f/8fY/bdVn3zVt/nbB+3n7X/8LEdcd3w==</latexit> @u @t (t, x) = D(u)(t, x) (t, x) u(t = 0, x) = ˆ u0(x) u(t, x) = ˆ u(t, x) (t, x) 2 (0, T) ⇥ ˆ f(ru(t, x), n(x)) = 0 (t, x) 2 (0, T) ⇥ • ߟྀ͢Δภඍ෼ํఔࣜ (MPCBMQPPMJOHඇઢܗιϧόͱͷؔ܎

+ t, xi) = u(t, xi) + D(u)(t + t, xi) t, <latexit sha1_base64="iu341DxEEjFNpwkBYxkrVImsGsc=">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</latexit> R(v) := v u(t, ·) D(v) t Solvev R(v)(xi) = 0, 8i i͸ϝογϡ্ͷઅ఺ͷ൪߸ <latexit sha1_base64="dbhnWiHu8naaSuqVWiObMx53E44=">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</latexit> v(0) := u(t, ·) v(i+1) := v(i) ↵(i)R(v(i)) <latexit 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</latexit> hf, gi ⌦ := X xi 2⌦ f(xi) · g(xi) <latexit 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</latexit> ↵(i) ⇡ ↵(i) BB := ⌦ v(i) v(i 1), R(v(i)) R(v(i 1)) ↵ ⌦ ⌦ R(v(i)) R(v(i 1)), R(v(i)) R(v(i 1)) ↵ ⌦ • ඇઢܗղ๏ͱͯ͠   ޯ഑߱Լ๏Λબ୒ • ࢒ࠩR(v)Λఆٛ͠   ࢒͕ࠩྵͱͳΔղΛٻΊΔ <latexit sha1_base64="Sh6Dd4UOK+sQ4ZIFRANM0CazYa0=">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</latexit> @u @t (t, x) = D(u)(t, x) (t, x) u(t = 0, x) = ˆ u0(x) u(t, x) = ˆ u(t, x) (t, x) 2 (0, T) ⇥ ˆ f(ru(t, x), n(x)) = 0 (t, x) 2 (0, T) ⇥ • ߟྀ͢Δภඍ෼ํఔࣜ • εςοϓαΠζͷܾఆʹ   #BS[JMBJr#PSXFJO๏Λબ୒ (MPCBMQPPMJOHඇઢܗιϧόͱͷؔ܎

• ภඍ෼ํఔࣜΛ   ӄత&VMFS๏Ͱ࣌ؒํ޲ʹ཭ࢄԽ <latexit sha1_base64="Sh6Dd4UOK+sQ4ZIFRANM0CazYa0=">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</latexit> @u
@t (t, x) = D(u)(t, x) (t, x) u(t = 0, x) = ˆ u0(x) u(t, x) = ˆ u(t, x) (t, x) 2 (0, T) ⇥ ˆ f(ru(t, x), n(x)) = 0 (t, x) 2 (0, T) ⇥ <latexit sha1_base64="TiHtDjMTf16jDHcTZ7ey1wT4JYY=">AAA123iclVvZctxKcuWMtzG9zB370S8VphSja1O0qCvZfrAdw1Wk2NxXSa2rQKOz0RCxCVUNksK0X/zm8Ku/yF/hT/Cr/QPOqkIhs9Cgrs0IichzqhK1nKzMRoOjIomlevHiP3/289/53d/7/T/4xR8u/9Ef/8mf/vK7X/3ZlcxnZQiXYZ7k5c0okJDEGVyqWCVwU5QQpKMErke3W5q/rqCUcZ5dqIcCPqZBlMWTOAwUQp+++yjEsJo9U+KvxXAbEhUItYrI/af4e/GPlmptbJIGahoGSb09f4bc9/39WmD503crL9ZemB+xeLHeXKwsNT8nn371ajIc5+EshUyFSSDlh/UXhfpYB6WKwwTmy8OZhCIIb4MIPuBlFqQgP9ZmHebiKSJjMclL/JcpYVDeow5SKR/SEbbUE5FdToO93Cj17lw/aP+yMxo1+fuPdZwVMwVZaAczmSVC5UIvvBjHJYQqecCLICxjnI8Ip0EZhAq3x/Ou4tuv/v30iFSeJ/4t6yoo7+IxjtlDi6CUt3Hhg3aFPOi+B9O3fh6OEczgLszTNMjG9XAcTybzDy8/1sMJjrcei5X1uf7/5XwuxNO8HMdZUOqJTSZQ4s7FQeI7KDoehoXe0CAxjshAf36/OGs76puKvxHmrnjTOHuuJS/+DzfHLaHb043RGb8z8+nQx13OsljNP6yjPxsSZVp/WFn/aJZDc+IuVlMhv8yCEsQIZ3wLSvouAmUHlMBErenhDMs4mqrffqoXl2EMCa53B5SzojBj+LF+trL+fbePnI0M+8kNEJe60+QS136U1pdd/MriV4g/FR4DloHFfSrKnObzDzifVVzUZk7/tODnKijt8jVj07bpOaxpKYaL99/xeu309/GXeSRtH93yt2yd58vLy0/1jzjauRaHGxd7Yntnd/9o/2L/+OhcGGq574BYxd8m/Ff1qYAjPAzKWyExtvFAlSKfiDAo7LU+iUpADZVxFumDYBxXsXTNJnE0K6EjCwT1SOc1LnYqng3wemFrsU2IqoTStdoyVl87M1fX7Ewbfa1UXrg2F3nR12KUK5WnrtGmsRbaNfMOXLPgsRYj12L0WIvQtQgfazF2Lca6BW7DHs4u0TMUgcD2+qCFCYbzWODapL4PvNagUQYqeiJMcGgvu2ZT7K7hMQ6rIsnvoHweYo5dW8ZInJhlhcnKem038J+HaNno6uuOw41VkKyJXRSDVHi06L2XeseQtx53ncfdrkdDq7vc3XPlZXNXKVwjgTNqjJeuBx48Y+qy8sPKq4Vuq20fd/UDd/XKTOfcqvqby4HKt4NvQsBbjx4HbkFs73PX+7yn95nrZZLoXd5G2Vq7MPbu0qxMG4OPLE3X4bQE6Lpk/lZ+WPRIq8Z8/7DoO8gE4Cbozj1LBl/snF2Txyft+cEDH0qh/Vg3O42bnT43G6IM7mjdO86eP38eVHk8FjOpj6Z4IopcyhirRuu6SAIMncb/46PTFUyBkdQzR83Y7k2b//ckG0dbraOtn3SEc84iMGewbSutDwO3I0KpONq5ev78UZng6IIkyrFim6Y980TOjq5t9M2JMlcLM91wrjZ6XDnBu/vhJFpf3z4MLrxOGz/ZaWFRdT3UzJypT6N2uPrqW5ti+3fVe9L2P/H7u5m2N8BR6+tHB9wIDuJEizXRFzbR66vG3yTJ89LQ5sry5rJpsG4qm4UaSZUYCPOaffDpNKiCJB7zBp/a+sRS8wWXIFV/B8PM2xlBIXWOK2Sc5FmTn87QRZ4KrPzjAKPV6RtUUGvP9yrLyxS9Phki9GTulrPs0AExI58ZERP6TEjM2GfGxIDPADETn5kQE/lMRMzUZ6bExD4TE/PZZz4Tc+szt8QkPpPMjYzLVMQSIxY/T48f9GFnd3BVfJ5JJcZ59msl9AdQlOODPnm8jRFp4zvzfWd019xncmIKnymI+eIzX4gpfaYkRvqMJEb5jCJm5jMzYiqfqYi585k7Yu595p6YB595IOarz3yd2zLPBQBm5rw93qsmSGobSqMJC5t23Gpqo8S1MDbjGcfhEcEsNqqQYBYY1ZhgFhUVEMxCopoQzOKhighmwVBNCWaRUM0IZmFQfSaYxUB1SzALgCohOGFwSnDKYLbQfIVzgpmYq4JgpuTqC8FMxlVJMNNwJQmWfFMJVv1rwqVbEcx0W90RzERb3RPMFFs9EMzkWn0l2Gl1JwH9IMt82it7dAtWdL3nMljl9Z7MYOXXezaD1WDv6QxWiL3nM1g19p7QYCXZe0aD1WXvKY3co+c0WIX2ntRgZdp7VoPVave0dlzqcynnHj2JwUq39ywGq9/e0xisiHvPY7BK7j2Rwcq590wGq+neUxmssHvPZbDq7j2ZwUq892wGq/Pe0xms2HvPZ7CKf/yExlgo47CtUNINio8NCpt0k+BNBm8RvMXgbYK3GbxD8A6DdwneZfAbgt8weI/gPQbvE7zP4LcEv2XwAcEHDB4QPGDwIcGHDD4i+IjBxwQfM/iE4BMGnxJ8yuAzgs8YfE7wOYMvCL5g8CXBlwy+IviKwdcEXzP4huAbBr8j+B2D3xP8/vHj1RcdWNUxjW4w/RrpMW6Tc1s+t8W5bZ/b5tyOz+1wbtfndjn3xufecG7P5/Y4t+9z+5x763NvOXfgcwecG/jcgHOHPnfIuSOfO+Lcsc8dc+7E5044d+pzp5w787kzzp373DnnLnzugnOXPnfJuSufu+Lctc9dc+7G5244987n3nHuvc852V/xEqL6CuZzBH52fdH2rfIMavd51mHpzELDlJJGWxNr3K+HqwZmyMgiVIeYKgQRqj5M7YEI1RxVMxKqNEydgQjVF6a6QISqClNTIEK1hKkkEKEKwtQPiFDdYKoGRKhaMLUCIglbB4tQZWDqAkQytn4WoSrA1ACIUO43mR8Ryvgm3yNCed5keUQkW3CLUE6vmm1hm1JZhPK3yd6IUNY2ORsRytUmUyNCGdrkZ0T6qlG/DK2CpJjq/Ta/WwVWo0YcRhcOpI9a9GSioZIgHY11D3tBRJ5CpHHzm2AjSS1HB6BDRPB/gmQcpbqr+U2wE24j2nYidc3HX2uxOgvFGpKFQh2zSdX2Sy1roUAnZKE4I7JQmFOycLhsrCjIz2ShGG/Z2tRahO3May1AZ+FislVE8eVsSWotOmeh6L6QhYIr2UrVWmjtAtVaZM7ChWbLjAKryEJx3ZGFwronC0X1QBYK6uu8+c4L8+y9xU2ORZ1RbjWZFRHKqCafIkJ51GRRRCh7mtw5SlnONBkTEcqUJk8iQvnRZEdEKCuanIgI5UKTCRGhDGjyHyKU90zWQ4Syncl1iFCOMxkOEcpsJq8hQvnMZDNEKIuZHIYI5S6TuRChjGXyFSKUp0yWQoSyk8lN9vtah1zV7ptah1xbhPKPyT6IUNYxOQcRyjUm0yDynu0g5YURTwvpybQ5iId4xVbPhb5mBk34t5NrYlhz5zaOjYouIJP6DY1tCJOgBBTVdEOfQHhHW+zJSawflUIW5uM4i9BZMEs0IiftdTqvpX7Kew7qMQejPBn/lJvR/RyDsPukNmu+PTZ5s/FnnlI3U1O2vswkU7/adBjpX205jCJAbTuMYkDtOIyiQO06jOJAvXEYRYLacxjFgtp3GEWDeuswigd14DCKCDVwGMWEOnQYRYU6chjFhTp2GEWGOnEYxYY6dRhFhzpzGMWHOncYRYi6cBjFiLp0GEWJunIYxYm6dhhFirpxGMWKeucwihb13mG2IkMhvymDYmrZyH3ODb2PG9Emg0kX0RaDSRrRNoNJHdEOg0kg0S6DSSPRGwaTTKI9BpNSon0Gk1iitwwmvUQHDCbJRAMGk2qiQwaTcKIjBpN2omMGk3yiEwaTgqJTBpOIojMGk46icwaTlKILBpOaoksGk6CiKwaTpqJrBpOsohsGk7KidwwmcUXvGewq/nPz9pCmZfsUZcTEJTcJJW3JLUJJWnKbUKOsp2LbfJMxkyACIUEJvHUCY7GzKkYQBhpX01iKu3yWjBFCC4Q033tgLTkrhX6lLk/QkX7fBe4LrC3Nl7nuK/VduiOpU74hlMQp9wglbcp9Qkma8i2hpEx5QCgJUw4IJV3KQ0JJlvKIUFKlPCaURClPCCVNylNCSZLyjFBSpDwnlAQpLwglPcpLQkmO8opQUqO8JpTEKG8IJS3Kd4SSFOV7QttHLhnWfWA+QgT2YUtTBAJVAAO/+Nfl4QZZKNVNslCiW2ShNLfJwsNuhywU0S5ZKJ43ZKFo9shCseyThSJ5SxaK44AsFMWALBTDIVkogiOycPOPycJNPyELN/uULNzkM7Jwc8/Jwk29IAs385Is3MQrsnDzrsnCTbshCzfrHVm4Se/Z/ZpKq6my9JYB3zJlKy48UnT8mrdkMYgtumreWsxnSmC5I+4wpRVQ+gURUEXkVUPN7VWrAdNwoRAEUy5Bp14CUzBBp2ICUzJBp2YCUzRBp2oCUzZBp24CUzhBp3ICUzpBp3YCUzxBp3oCUz5Bp34CU0BBp4ICU0JBp4YCU0RBp4oCU0ZBp44CU0hBp5ICU0pBp5YCU0xBp5oCU05Bp54CU1BBp6ICU1JBp6YCU1RBp6oCU1ZBp64CU1hBp7ICU1pBp7YCU1xBp7oCU15Bp74CU2ABq7DwkwKmHFXOQMyyMZTJg35paRyoQESQQYnZRtuxRKWPZjr1dF8/xqbzuvhUD8u0NoZJfNorpEVcxqF53Zf6t+8Ojh5MujOvgeibYH7s+HZviEwDhZ/U/Vt4LU94y5N532DSfAzJtyZiGrQzsdbCfZpGJ99qVKg4GUPTcmiMdvRtDzwmVB5OA6lfVg9mKjefoKD0Rth5gbWwbdoxNl0WBzAGr501e9qVSOCh49pZE7UQmmdofuMkKJIghHn7Rs2gAebiqWiu/eVd7rxf3Ga8ne5ABpK9tDPosmdznts7p2ZasDXukEk5d8/dfKKEaN4+SetSoaI5aiuexFB2Xct8otLgnlo6oNsOk0VuXmKyD9kWvRTJTM/+q34S4LMHgzl/g+lgsLCB+t1u70Xvrn+Fv4IS977MWcvzhQ3YyiuitaEFep0nkzJI9QOp6V1eYoEqgwcpngx+fPlEv71j/hhkltm3UGWB+y/N22NPhpAkrI17IPpUbGICxJDP9H8PGO+Q6rfYdBVsnbLW+hXSfBaZnGmK4ljBqnEvczHOQbu7i2/jAsZxsNZ5BTkv00Q/vJ/Xgx9fzHvIPAPNrfdx6s70e9nHFZopehijhcGPwzibqIdu6BSB/ksH3OWTQAfLOeBZK4MIRJyJLG8KegX3a2Jrmku9PLkuAMOp2MbPvhn8WopRnt+uLXuPc44LfTrn5V+hxsvIDAB/D1f11bca6nPSNsSrfpdGrdjM/P9IiwsU1IV+wy8BNQxGGGdJfjcqIbj99N3KevfvkBYvrl6urf/t2qvTVyu/2Wz+RukXS3+x9JdLz5bWl/5u6TdLe0snS5dL4dJ/LP3X0n8v/c/rj6//5fW/vv432/TnP2v6/PmS9/P63/8X3mHGHA==</latexit> u(t + t, xi) = u(t, xi) + D(u)(t + t, xi) t, <latexit sha1_base64="iu341DxEEjFNpwkBYxkrVImsGsc=">AAA1/3iclVtbcxxLUpaX2yJYOAsR8MBLBbJZH0ISlo8NBAHE6i5Zo/vV9vgoenpyetrqm7tqWpJ7h4j9NbwRvPJT+AX8DbKquiazelo+oAhLnd9XlV2XLytzetqDIomlevXqv5/97Hd+9/d+/w9+/oeLf/THv/iTP/3ul392JfNJGcJlmCd5eTMIJCRxBpcqVgncFCUE6SCB68HdpuavKyhlnGcX6rGAT2kQZfEoDgOF0O13vxWin5697FfV9+Jv/ulfBF6IFfw9eamWRT8c5up7baeBGodBUm9NbdP+FiQqEGoRu/f1L92gTOvzPKlgequ99GeO8dfDbYz+0f0grV9NlzU5yssgSUR8+93Sq9VX5kfMX6w1F0sLzc/J7S/fjPrDPJykkKkwCaT8uPaqUJ/qoFRxmMB0sT+RUAThXRDBR7zMghTkp9qs1VS8QGQo8Ob4L1PCoLxHHaRSPqYDbKnnJNucBju5QerduX7U/mVrNGr0j5/qOCsmCrLQDmY0SYTKhd4cMYxLCFXyiBdBWMY4HxGOgzIIFW6h513Fd1/9++kRqTxP/FvWVVDex0Mcs4cWQSnv4sIH7Qp50EMHpm+9Eg4RzOA+zNM0yIZ1fxiPRtOPrz/V/RGOtx6KpbWp/v16OhXiRV4O4ywo9cRGIyhx5+Ig8R0ULQ/9Qm9okBhHZKA/v1+czTrqm4q/E+aueNM4W9FhIf4PN8ctodvTjdEZvzPz6dCnXU6yWE0/rqG/WXR8XFr7ZJZDc+I+VmMhv0yCEsQAZ3wHSvouAmUHlMBIrerh9Ms4Gqvf3NbzyzCEBNe7BcpJUZgx/Fi/XFr7vt1HTgaGvXUDxKVuNbnEtceYvWzjVxa/QvyF8BiwDMzvU1HmNJ9/xvks46I2c/rXOT9XQWmXrxmbtk3Pfk1L0Z+//7bXa7u7j7/MA2n76Ja/Yes8XVxcfKF/xNH2tThcv9gTW9s7+0f7F/vHR+fCUItdB8Qy/jXhv6xPBRzhYVDeCYmxjYeuFPlIhEFhr/VJVAJqqIyzSB8Ew7iKpWs2iqNJCS1ZIKhHOq1xsVPxsofXc1uLbUJUJZSu1aaxutqZubpmZ9roaqXywrW5yIuuFoNcqTx1jTaMNdeumXfgmgVPtRi4FoOnWoSuRfhUi6FrMdQtcBv2cHaJnqEIBLbXBy2MMJyHAtcm9X3gtQaNMlDRI2GCQ3vZMZtidw2PcVgWSX4P5UqIeXh1ESNxZJYVRktrtd3Af+ujZaOrqzsON1ZBsip2UAxS4dGi917qHUPeetxxHnfaHg2t7nN3z6XXzV2lcI0EzqgxXrseePAMqcvSD0tv5rotz/q4qx+4qzdmOudW1d9cDlS+HXwTAt56dDhwC2J7n7ve5x29z1wvk0Tv81mUrc4Wxt5dmpWZxeATS9N2OC4B2i6Zv6Uf5j3SqjHfP8z7DjIBuAm6c8eSwRc7Z9fk6Ul7fvDAh1JoP9bNduNmu8vNuiiDe1r3lrOVlZWgyuOhmEh9NMUjUeRSxlhZWtdFEmDoNP6fHp2uYAqMpI45asZ2b9r8vyfZONqcOdr8SUc45ywCcwbbttL6MPBsRCgVRztXKytPygRHFyRRjhXbOO2YJ3J2dLNG35woczU303Xnar3DlRO8ux9OYubr24fBhddp/Sc7zS2qroeamTP1adQOV199a1Ns/7Z6T2b9T/z+bqazG+Co9fWTA24EB3GixZroC5vo9VXjb5TkeWloc2V5c9k0WDOVzVyNpEoMhGnNPiS1GlRBEg95g9tZfWKp6ZxLkKq7g2GmsxlBIXWOK2Sc5FmTn87QRZ4KrPzjAKPV6RtUUGvPDyrLyxS9Pu8j9HzqlrNs0QExA58ZEBP6TEjM0GeGxIDPADEjnxkRE/lMRMzYZ8bExD4TE/PZZz4Tc+czd8QkPpNMjYzLVMQSIxY/cw8f9WFnd3BZfJ5IJYZ59isl9AdQlOOjPnm8jRFp4zvzfWd019xncmIKnymI+eIzX4gpfaYkRvqMJEb5jCJm4jMTYiqfqYi595l7Yh585oGYR595JOarz3yd2jLPBQBm5nx2vFdNkNQ2lAYjFjazcauxjRLXwtiMZxyHBwSz2KhCgllgVEOCWVRUQDALiWpEMIuHKiKYBUM1JphFQjUhmIVB9ZlgFgPVHcEsAKqE4ITBKcEpg9lC8xXOCWZirgqCmZKrLwQzGVclwUzDlSRY8k0lWHWvCZduRTDTbXVPMBNt9UAwU2z1SDCTa/WVYKfV7QT0gyzzaa/s0C1Y0XWey2CV13kyg5Vf59kMVoOdpzNYIXaez2DV2HlCg5Vk5xkNVpedpzRyT57TYBXaeVKDlWnnWQ1Wq+3T2nGpz6Wce/IkBivdzrMYrH47T2OwIu48j8EqufNEBivnzjMZrKY7T2Wwwu48l8Gqu/NkBivxzrMZrM47T2ewYu88n8Eq/ukTGmOhjMNZhZKuU3ysU9ikGwRvMHiT4E0GbxG8xeBtgrcZvEPwDoN3Cd5l8B7BewzeJ3ifwe8IfsfgA4IPGNwjuMfgQ4IPGXxE8BGDjwk+ZvAJwScMPiX4lMFnBJ8x+JzgcwZfEHzB4EuCLxl8RfAVg68JvmbwDcE3DH5P8HsGfyD4w9PHqy86sKpjGl1n+jXSY9wG5zZ9bpNzWz63xbltn9vm3I7P7XBu1+d2Obfnc3uc2/e5fc6987l3nDvwuQPO9Xyux7lDnzvk3JHPHXHu2OeOOXficyecO/W5U86d+dwZ58597pxzFz53wblLn7vk3JXPXXHu2ueuOXfjczece+9z7zn3weec7K94CVF9BfM5wnz35vpWeQa1+zzrsHRioX5KSWNWE2vcr4erBmbIwCJUh5gqBBGqPkztgQjVHFUzEqo0TJ2BCNUXprpAhKoKU1MgQrWEqSQQoQrC1A+IUN1gqgZEqFowtQIiCVsHi1BlYOoCRDK2fhahKsDUAIhQ7jeZHxHK+CbfI0J53mR5RCRbcItQTq+abWGbUlmE8rfJ3ohQ1jY5GxHK1SZTI0IZ2uRnRLqqUb8MrYKkGOv9Nn9nCqwGjTiMLhxIH7XoyURDJUE6GOoe9oKIPIVI4+YvwUaSWo4OQIeI4G+CZByluqv5S7ATbiPa2UTqmo+/1mJ1Foo1JAuFOmSTqu2XWtZCgY7IQnFGZKEwx2ThcNlYUZCfyUIx3rG1qbUIZzOvtQCdhYvJVhHFl7MlqbXonIWi+0IWCq5kK1Vroc0WqNYicxYuNFtmFFhFForrniwU1gNZKKpHslBQX6fNd16YZx8sbnIs6oxyq8msiFBGNfkUEcqjJosiQtnT5M5BynKmyZiIUKY0eRIRyo8mOyJCWdHkREQoF5pMiAhlQJP/EKG8Z7IeIpTtTK5DhHKcyXCIUGYzeQ0RymcmmyFCWczkMEQod5nMhQhlLJOvEKE8ZbIUIpSdTG6y39c65Kp239Q65NoilH9M9kGEso7JOYhQrjGZBpEPbAcpLwx4WkhPxs1B3Mcrtnou9DXTa8J/NrkmhjV3buPYqOgCMqnf0NiCMAlKQFGN1/UJhHe0xZ4cxfpRKWRhPoyzCJ0Fk0QjcjS7Tqe11E95z0E95WCQJ8OfcjN4mGIQtp/UZs23xyZvNv7MU+pmasrWl5lk6lcbDiP9q02HUQSoLYdRDKhth1EUqB2HURyoXYdRJKg9h1EsqH2HUTSodw6jeFAHDqOIUD2HUUyoQ4dRVKgjh1FcqGOHUWSoE4dRbKhTh1F0qDOHUXyoc4dRhKgLh1GMqEuHUZSoK4dRnKhrh1GkqBuHUayo9w6jaFEfHGYrMhTybhkUY8tG7nNu6H3ciDYYTLqINhlM0oi2GEzqiLYZTAKJdhhMGol2GUwyifYYTEqJ9hlMYoneMZj0Eh0wmCQT9RhMqokOGUzCiY4YTNqJjhlM8olOGEwKik4ZTCKKzhhMOorOGUxSii4YTGqKLhlMgoquGEyaiq4ZTLKKbhhMyoreM5jEFX1gsKv4z83bQ5qWs6coAyYuuUEoaUtuEkrSkluEGmW9EFvmm4yJBBEICUrgrRMYiu1lMYAw0Lgax1Lc55NkiBBaIKT53gNryUkp9Ct1eYKO9Psu8FBgbWm+zHVfqe/QHUmdcpdQEqfcI5S0KfcJJWnKd4SSMuUBoSRM2SOUdCkPCSVZyiNCSZXymFASpTwhlDQpTwklScozQkmR8pxQEqS8IJT0KC8JJTnKK0JJjfKaUBKjvCGUtCjfE0pSlB8InT1yybDuA/MRIrAPW5oiEKgC6PnFvy4P18lCqW6QhRLdJAuluUUWHnbbZKGIdshC8eyShaLZIwvFsk8WiuQdWSiOA7JQFD2yUAyHZKEIjsjCzT8mCzf9hCzc7FOycJPPyMLNPScLN/WCLNzMS7JwE6/Iws27Jgs37YYs3Kz3ZOEmfWD3ayqtpsrSWwZ8y5StuPBI0fFr3pLFILbosnlrMZ8o/SavuMeUVkDpF0RAFZFXDTW3VzMNmIZzhSCYcgla9RKYgglaFROYkglaNROYoglaVROYsgladROYwglalROY0glatROY4gla1ROY8gla9ROYAgpaFRSYEgpaNRSYIgpaVRSYMgpadRSYQgpalRSYUgpatRSYYgpa1RSYcgpa9RSYggpaFRWYkgpaNRWYogpaVRWYsgpadRWYwgpalRWY0gpatRWY4gpa1RWY8gpa9RWYAgtYhYWfFDDlqHICYpINoUwe9UtLw0AFIoIMSsw22o4lKn0w0amn/foxNp3WxW3dL9PaGCbxaa+QFnEZh+Z1X+o/e3dw8GjSnXkNRN8E82PLt3tDZBwo/KTu38JrecJbnky7BpPmQ0i+NRHTYDYTa83dp2l08q1GhYqTITQt+8aYjX7WA48JlYfjQOqX1YOJys0nKCi9EbZeYC1sm9kYmy7zAxiC186aHe1KJPDQce2siVoIzTM0v3ESFEkQwnT2Rk2vAabihWiu/eVdbL1fPMt42+2B9CR7aafXZs+mPLe3Ts20YGvcIpNy6p67+UQJ0XT2JK1NhYrmqK14FEPZdi3zkUqDB2rpgHY7TBa5eYnJPmSb91IkEz37r/pJgM8e9Kb8DaaD3twG6ne7vRe92/4V/glK3PsyZy3P5zZgM6+I1oYW6HWejMog1Q+kxvd5iQWqDB6leN778fVz/faO+c8gk8y+hSoL3H9p3h573ockYW3cA9EXYgMTIIZ8pn89YrxDqt9i01Wwdcpa61dI80lkcqYpimMFy8a9zMUwB+3uPr6LCxjGwWrrFeS8TBP98H5a9358Ne0g8ww0t9bFqXvT73UXV2im6GCMFno/9uNspB7boVME+n864C6fBDpYzgHPWhlEIOJMZHlT0Ct4WBWb41zq5cl1ARiOxRZ+9s3gV1IM8vxuddF7nHNc6NM5L/8WNV5GZgD4t7+sr77VUJ+TtiFedbs0asVm5vcTLS5QUBf6Db8EVD8YYJwl+f2ghODu9rultfb/Q5q/uHq9uvb3q29O3yz9eqP5P0o/X/irhb9eeLmwtvAPC79e2Fs4WbhcCBf+59kvnv3Fs798+9u3//72P97+p236s2dNnz9f8H7e/tf/AiWK0Kk=</latexit> R(v) := v u(t, ·) D(v) t Solvev R(v)(xi) = 0, 8i i͸ϝογϡ্ͷઅ఺ͷ൪߸ <latexit 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</latexit> v(0) := u(t, ·) v(i+1) := v(i) ↵(i)R(v(i)) <latexit 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</latexit> hf, gi ⌦ := X xi 2⌦ f(xi) · g(xi) <latexit sha1_base64="vqrK07cYx3zKD406GasFbF66eEY=">AAA2gnicnVtrc9zKcaVsJ7bpPO51PvrLVCiV73WRjCiplFTqxmW+SXH5EN+SVpeFxfZiIeIlzCxIar3+Dfma/LP8m/TMYNA9WFDXCaskos+Zaczj9HQvFhwUSSzV8+f/8+RnP//F3/ztL3/168Xf/N3f/8M/fvPtby9lPilDuAjzJC+vB4GEJM7gQsUqgeuihCAdJHA1uN3U/FUFpYzz7Fw9FPAxDaIsHsVhoBC6+fbJz4XoB0kxDvpyUhTTeIZmUZT5fQu+6aeBGpfpdGNjJv79P/qjMginiwJ/+gmM1A/9qmo8rAiy0FibLYt+evoda/K9buNBK2uz7/tlHI3VH2/6xylEwcxz/1P9zX2+///d6Oabpeerz82PmL9Yqy+WFuqfk5tvX436wzycpJCpMAmk/LD2vFAfp0Gp4jCB2WJ/IqEIwtsggg94mQUpyI9Ts10z8QyRoRjlJf7LlDAo7zENUikf0gG21Gsu25wGO7lB6t15+qD9y9Zo1OjfPk7jrJgoyEI7mNEkESoXWh9iGJcQquQBL4KwjHE+IhwHuNkKVeR5V/HtF/9+ekQqzxP/ltMqKO/iIY7ZQ4uglLdx4YN2hTzovgPTt14JhwhmcBfmaRpkw2l/GI9Gsw8vPk6tOIdiaW2m/38xmwnxLC+HcRaUemKjEZS4c3GQ+A6Klod+oTc0SIwjMtCf3y/Omo76puJfhLkr3jTOVnRkir/i5rgldHu6MTrjd2Y+Hfq4y0kWq9mHNfQnXPR+WFr7aJZDc+IuVmMhP0+CEsQAZ3wLSvouAmUHpINwVQ/Hhs6fb6bzyzCEBNe7BeqgM2P4cfrd0tr37T5yMjBsc7zgUreaXODaD9LpRRu/tPgl4s+Ex4BlYH6f8GCj+fyA81nGRa3n9Mc5P5dBaZevHpu2Tc/+lJaiP3//ba/Xdncff5kH0vbRLf/M1nm2uLj4TP+Io+0rcbh+vie2tnf2j/bP94+PzoShFrsOiGX8bcJ/WZ8KOMLDoLwVEmMbz30p8pEIg8Je65OoBNRQGWeRPgiGcRVL12wUR5MSWrJAUI90NsXFTsV3Pbye21psE6IqoXStNo3V1c7M1TU71UZXK5UXrs15XnS1GORK5alrtGGsuXb1vAPXLHisxcC1GDzWInQtwsdaDF2LoW6B27CHs0v0DEUgsL0+aGGE4TwUuDap7wOvNWiUgYoeCRMc2suO2RS7a3iMw7JI8jsoV0IsBVYXMRJHZllhtLQ2tRv4lz5aNrq6uuNwYxUkq2IHxSAVHi1676XeMeStxx3ncaft0dDqLnf3XHpR31UK10jgjGrjheuBB8+Quiy9XHo112256eOuXnJXr8x0zqyqv7ocqHw7+DoEvPXocOAWxPY+c73POnqful4mid7lTZStNgtj7y7NyjQx+MjStB2OS4C2S+Zv6eW8R1o15vvlvO8gE4CboDt3LBl8tnN2TR6ftOcHD3wohfZj3WzXbra73KyLMrijdW85W1lZCao8HoqJ1EdTPBJFLmWMxa11XSQBhk7t//HR6QqmwEjqmKNmbPe6zf95krWjzcbR5k86wjlnEZgz2LaV1oeBmxGhVBztXK2sPCoTHF2QRDlWbOO0Y57I2dE1jb46UeZqbqbrztV6hysneHc/nETj6+uHwbnXaf0nO80tqq6H6pkz9WnUDldffW1TbP+2ek+a/id+fzfT5gY4an396IBrwUGcaLEm+sImen1V+xsleV4a2lxZ3lzWDdZMZTNXI6kSA2FmS44wSKZb7QZVkMRD3uCmqU8sNZtzCVJ1dzDMrJkRFFLnuELGSZ7V+ekUXeSpwMo/DjBanb5BBVPt+V5leZmi16d9hJ7O3HKWLTogZuAzA2JCnwmJGfrMkBjwGSBm5DMjYiKfiYgZ+8yYmNhnYmI++cwnYm595paYxGeSmZFxmYpYYsTix/7hgz7s7A4ui08TqcQwz36vhP4AinJ80CePtzEirX1nvu+M7pr7TE5M4TMFMZ995jMxpc+UxEifkcQon1HETHxmQkzlMxUxdz5zR8y9z9wT8+AzD8R88ZkvM1vmuQDAzJw3x3tVB8nUhtJgxMKmGbca2yhxLYzNeMZxeEAwi40qJJgFRjUkmEVFBQSzkKhGBLN4qCKCWTBUY4JZJFQTglkYVJ8IZjFQ3RLMAqBKCE4YnBKcMpgtNF/hnGAm5qogmCm5+kwwk3FVEsw0XEmCJd9UglX3mnDpVgQz3VZ3BDPRVvcEM8VWDwQzuVZfCHZa3U5AP8gyn/bKDt2CFV3nuQxWeZ0nM1j5dZ7NYDXYeTqDFWLn+QxWjZ0nNFhJdp7RYHXZeUoj9+g5DVahnSc1WJl2ntVgtdo+rR2X+lzKuUdPYrDS7TyLweq38zQGK+LO8xiskjtPZLBy7jyTwWq681QGK+zOcxmsujtPZrAS7zybweq883QGK/bO8xms4h8/oTEWyjhsKpR0neJjncIm3SB4g8GbBG8yeIvgLQZvE7zN4B2Cdxi8S/Aug/cI3mPwPsH7DH5D8BsGHxB8wOAewT0GHxJ8yOAjgo8YfEzwMYNPCD5h8FuC3zL4lOBTBp8RfMbgc4LPGXxB8AWDLwm+ZPAVwVcMvib4msHvCH7H4PcEv3/8ePVFB1Z1TKPrTL9Geozb4Nymz21ybsvntji37XPbnNvxuR3O7frcLuf2fG6Pc/s+t8+5Nz73hnMHPnfAuZ7P9Th36HOHnDvyuSPOHfvcMedOfO6Ec2997i3nTn3ulHNnPnfGuXOfO+fchc9dcO7S5y45d+VzV5y79rlrzr3zuXece+9zTvaXvISovoD5HIGfXZ83fas8g6n7POuwdGKhfkpJo6mJNe7Xw1UNM2RgEapDTBWCCFUfpvZAhGqOqh4JVRqmzkCE6gtTXSBCVYWpKRChWsJUEohQBWHqB0SobjBVAyJULZhaAZGErYNFqDIwdQEiGVs/i1AVYGoARCj3m8yPCGV8k+8RoTxvsjwiki24RSinV/W2sE2pLEL522RvRChrm5yNCOVqk6kRoQxt8jMiXdWoX4ZW5gtpbG1+NwqsBrU4jC4cSB+16MlETSVBOhjqHvaCiFx/G4y4+U2wkaSWowPQISL4P0EyjlLd1fwm2Am3Fm0zkemUj3+qxeosFGtIFgp1yCY1tV9qWQsFOiILxRmRhcIck4XDZWNFQX4iC8V4y9ZmqkXYzHyqBegsXEy2iii+nC3JVIvOWSi6z2Sh4Eq2UlMttGaBplpkzsKFZsuMAqvIQnHdkYXCuicLRfVAFgrqy6z+zgvz7L3FTY5FnVFuNZkVEcqoJp8iQnnUZFFEKHua3DlIWc40GRMRypQmTyJC+dFkR0QoK5qciAjlQpMJEaEMaPIfIpT3TNZDhLKdyXWIUI4zGQ4RymwmryFC+cxkM0Qoi5kchgjlLpO5EKGMZfIVIpSnTJZChLKTyU32+1qHXE7dN7UOubII5R+TfRChrGNyDiKUa0ymQeQ920HKCwOeFtKTcX0Q9/GKrZ4Lfc306vBvJlfHsObObBwbFZ1DJvUbGlsQJkEJKKrxuj6B8I622JOjWD8qhSzMh3EWobNgkmhEjprrdDaV+invGajHHAzyZPhTbgb3MwzC9pParP722OTN2p95Sl1PTdn6MpNM/WrDYaR/tekwigC15TCKAbXtMIoCteMwigO16zCKBLXnMIoFte8wigb1xmEUD+rAYRQRqucwigl16DCKCnXkMIoLdewwigx14jCKDfXWYRQd6tRhFB/qzGEUIercYRQj6sJhFCXq0mEUJ+rKYRQp6tphFCvqncMoWtR7h9mKDIW8WwbF2LKR+5wbeh83og0Gky6iTQaTNKItBpM6om0Gk0CiHQaTRqJdBpNMoj0Gk1KifQaTWKI3DCa9RAcMJslEPQaTaqJDBpNwoiMGk3aiYwaTfKITBpOCorcMJhFFpwwmHUVnDCYpRecMJjVFFwwmQUWXDCZNRVcMJllF1wwmZUXvGEziit4z2FX8Z+btIU3L5inKgIlLbhBK2pKbhJK05BahRlnPxJb5JmMiQQRCghJ46wSGYntZDCAMNK7GsRR3+SQZIoQWCGm+98BaclIK/UpdnqAj/b4L3BdYW5ovc91X6jt0R1Kn3CWUxCn3CCVtyn1CSZryDaGkTHlAKAlT9gglXcpDQkmW8ohQUqU8JpREKU8IJU3Kt4SSJOUpoaRIeUYoCVKeE0p6lBeEkhzlJaGkRnlFKIlRXhNKWpTvCCUpyveENo9cMqz7wHyECOzDlroIBKoAen7xr8vDdbJQqhtkoUQ3yUJpbpGFh902WSiiHbJQPLtkoWj2yEKx7JOFInlDForjgCwURY8sFMMhWSiCI7Jw84/Jwk0/IQs3+y1ZuMmnZOHmnpGFm3pOFm7mBVm4iZdk4eZdkYWbdk0WbtY7snCT3rP71ZVWXWXpLQO+ZcpWXHik6Pg1b8liEFt02by1mE+UwHJH3GFKK6D0CyKgisirhurbq0YDpuFcIQimXIJWvQSmYIJWxQSmZIJWzQSmaIJW1QSmbIJW3QSmcIJW5QSmdIJW7QSmeIJW9QSmfIJW/QSmgIJWBQWmhIJWDQWmiIJWFQWmjIJWHQWmkIJWJQWmlIJWLQWmmIJWNQWmnIJWPQWmoIJWRQWmpIJWTQWmqIJWVQWmrIJWXQWmsIJWZQWmtIJWbQWmuIJWdQWmvIJWfQWmwAJWYeEnBUw5qpyAmGRDKJMH/dLSMFCBiCCDErONtmOJSh9MdOppv36MTWfT4mbaL9OpMUzi014hLeIyDs3rvtS/eXdw8GDSnXkNRN8E82PLt3tDZBwo/KTu38JrecJbnsy6BpPmQ0i+NhHToJmJtebuUzc6+VqjQsXJEOqWfWM0o2964DGh8nAcSP2yejBRufkEBaU3wtYLrIVt04yx7jI/gCF47azZ0a5EAg8d186aqIXQPEPzGydBkQQhzJo3ano1MBPPRH3tL+9i6/3iJuNttwfSk+ylnV6bPZ3x3N46NdOCrXGLTMqZe+7mEyVEs+ZJWpsKFc1RW/EohrLtWuYjlQb31NIB7XaYLHLzEpN9yDbvpUgmevZf9JMAnz3ozfgbTAe9uQ3U73Z7L3q3/Sv8FZS492XOWp7NbcBmXhGtDS3QqzwZlUGqH0iN7/ISC1QZPEjxtPfji6f67R3zxyCTzL6FKgvcf2neHnvahyRhbdwD0WdiAxMghnym/3vAeIdUv8Wmq2DrlLXWr5Dmk8jkTFMUxwqWjXuZi2EO2t1dfBsXMIyD1dYryHmZJvrh/Wza+/H5rIPMM9DcWhen7ky/F11coZmigzFa6P3Yj7ORemiHThHov3TAXT4JdLCcAZ61MohAxJnI8rqgV3C/KjbHudTLk+sCMByLLfzsm8HvpRjk+e3qovc457jQp3Ne/gE1XkZmAPi7v6yvvtZQn5O2IV51uzRqxWbm/0danKOgzvUbfgmofjDAOEvyu0EJwe3NN0tr7b9Dmr+4fLG69nr11dtXS3/aqP9G6VcLv1v454XvFtYW/nXhTwt7CycLFwvhk09P/vPJfz3579e/eP2H12uvX9qmP3tS9/mnBe/n9Q//C+2LAeE=</latexit> ↵(i) ⇡ ↵(i) BB := ⌦ v(i) v(i 1), R(v(i)) R(v(i 1)) ↵ ⌦ ⌦ R(v(i)) R(v(i 1)), R(v(i)) R(v(i 1)) ↵ ⌦ • ඇઢܗղ๏ͱͯ͠   ޯ഑߱Լ๏Λબ୒ • εςοϓαΠζͷܾఆʹ   #BS[JMBJr#PSXFJO๏Λબ୒ ➡εςοϓαΠζͷܭࢉ͕   HMPCBMQPPMJOHʹରԠ • ߟྀ͢Δภඍ෼ํఔࣜ • ࢒ࠩR(v)Λఆٛ͠   ࢒͕ࠩྵͱͳΔղΛٻΊΔ (MPCBMQPPMJOHඇઢܗιϧόͱͷؔ܎

(MPCBMQPPMJOH/FVSBM/POMJOFBS4PMWFS • ෺ཧྔͷۭ͔ؒΒɺΑΓଟ࣍ݩͷۭؒ΁ຒΊࠐΈ ΤϯίʔσΟϯά ෺ཧྔͷߴ࣍ݩຒΊࠐΈ ਺ेʙ਺ઍ࣍ݩ Τϯίʔυ
ೖྗ෺ཧྔ ྲྀ଎ɺѹྗͳͲ ֤఺ͷ෺ཧྔʹ //Λద༻

• ෺ཧྔͷۭ͔ؒΒɺΑΓଟ࣍ݩͷۭؒ΁ຒΊࠐΈ ΤϯίʔσΟϯά • Τϯίʔυ͞Εۭͨؒ಺ͰඇઢܗιϧόΛద༻ DG/FVSBM0%&[Chen et
al. NeurIPS 2018] (MPCBMQPPMJOH/FVSBM/POMJOFBS4PMWFS ෺ཧྔͷߴ࣍ݩຒΊࠐΈ ਺ेʙ਺ઍ࣍ݩ Τϯίʔυ ೖྗ෺ཧྔ ྲྀ଎ɺѹྗͳͲ ֤఺ͷ෺ཧྔʹ //Λద༻ ඇઢܗιϧό *TP($/ HMPCBMQPPMJOH

al. NeurIPS 2018] • نఆճ਺൓෮·ͨ͸࢒͕ࠩᮢ஋ΛԼճͬͨΒσίʔυ͠ɺग़ྗ (MPCBMQPPMJOH/FVSBM/POMJOFBS4PMWFS ෺ཧྔͷߴ࣍ݩຒΊࠐΈ ਺ेʙ਺ઍ࣍ݩ Τϯίʔυ ೖྗ෺ཧྔ ྲྀ଎ɺѹྗͳͲ ֤఺ͷ෺ཧྔʹ //Λద༻ σίʔυ ग़ྗ෺ཧྔ ྲྀ଎ɺѹྗͳͲ ֤఺ͷ෺ཧྔʹ //Λద༻ ඇઢܗιϧό *TP($/ HMPCBMQPPMJOH

al. NeurIPS 2018] • نఆճ਺൓෮·ͨ͸࢒͕ࠩᮢ஋ΛԼճͬͨΒσίʔυ͠ɺग़ྗ (MPCBMQPPMJOH/FVSBM/POMJOFBS4PMWFS ෺ཧྔͷߴ࣍ݩຒΊࠐΈ ਺ेʙ਺ઍ࣍ݩ Τϯίʔυ ೖྗ෺ཧྔ ྲྀ଎ɺѹྗͳͲ ֤఺ͷ෺ཧྔʹ //Λద༻ σίʔυ ग़ྗ෺ཧྔ ྲྀ଎ɺѹྗͳͲ ֤఺ͷ෺ཧྔʹ //Λద༻ ඇઢܗιϧό *TP($/ HMPCBMQPPMJOH ➡ Τϯίʔυ͞Εͨߴ࣍ݩۭؒͰͷ ऩଋੑ͕Α͍ͱظ଴͞ΕΔ ඇઢܗιϧόΛֶश

➡ Τϯίʔυ͞Εͨߴ࣍ݩۭؒͰͷ ऩଋੑ͕Α͍ͱظ଴͞ΕΔ ඇઢܗιϧόΛֶश (MPCBMQPPMJOH/FVSBM/POMJOFBS4PMWFS ෺ཧྔͷߴ࣍ݩຒΊࠐΈ ਺ेʙ਺ઍ࣍ݩ
Τϯίʔυ ೖྗ෺ཧྔ ྲྀ଎ɺѹྗͳͲ ֤఺ͷ෺ཧྔʹ //Λద༻ σίʔυ ग़ྗ෺ཧྔ ྲྀ଎ɺѹྗͳͲ ֤఺ͷ෺ཧྔʹ //Λద༻ ඇઢܗιϧό *TP($/ HMPCBMQPPMJOH Τϯίʔυ ߴ࣍ݩۭؒ ೖྗಛ௃ྔۭؒ ௿࣍ݩۭؒ

ڥք৚݅ͷߟྀ%JSJDIMFUڥք৚݅Ϟσϧ • Τϯίʔυ͞ΕۭͨؒͰඇઢܗιϧόΛద༻͍ͨ͠ ෺ཧྔͷߴ࣍ݩຒΊࠐΈ ਺ेʙ਺ઍ࣍ݩ Τϯίʔυ ೖྗ෺ཧྔ
ྲྀ଎ɺѹྗͳͲ ֤఺ͷ෺ཧྔʹ //Λద༻ σίʔυ ग़ྗ෺ཧྔ ྲྀ଎ɺѹྗͳͲ ֤఺ͷ෺ཧྔʹ //Λద༻ ඇઢܗιϧό *TP($/ HMPCBMQPPMJOH

• Τϯίʔυ͞ΕۭͨؒͰඇઢܗιϧόΛద༻͍ͨ͠ ෺ཧྔͷߴ࣍ݩຒΊࠐΈ ਺ेʙ਺ઍ࣍ݩ Τϯίʔυ ೖྗ෺ཧྔ ྲྀ଎ɺѹྗͳͲ
֤఺ͷ෺ཧྔʹ //Λద༻ ඇઢܗιϧό *TP($/ HMPCBMQPPMJOH σίʔυ ग़ྗ෺ཧྔ ྲྀ଎ɺѹྗͳͲ ֤఺ͷ෺ཧྔʹ //Λద༻ ➡ Τϯίʔυ͞ΕۭͨؒͰڥք৚݅Λద༻͍ͨ͠ ڥք৚݅ͷߟྀ%JSJDIMFUڥք৚݅Ϟσϧ

<latexit 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⇣ f ⇣ u(t) j
⌘ , g ⇣ p(t) j ⌘ , . . . ⌘ <latexit 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</latexit> f ⇣ ˆ u(t+1) j ⌘ <latexit 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</latexit> ˆ u(t+1) j <latexit 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</latexit> ⇣ u(t) j , p(t) j , . . . ⌘ %JSJDIMFUڥք৚݅ Τϯίʔυ͞Εͨ   %JSJDIMFUڥք৚݅ <latexit 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</latexit> ⇣ u(t) i , p(t) i , . . . ⌘ <latexit 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</latexit> ⇣ f ⇣ u(t) i ⌘ , g ⇣ p(t) i ⌘ , . . . ⌘ • ৚݅Λ෇Ճ͢Δ෺ཧྔͱಉ͡ΤϯίʔμΛ࢖͍Τϯίʔυ͢Δ ڥք৚݅ͷߟྀ%JSJDIMFUڥք৚݅Ϟσϧ

<latexit 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⇣ f ⇣ u(t) j
⌘ , g ⇣ p(t) j ⌘ , . . . ⌘ <latexit 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</latexit> f ⇣ ˆ u(t+1) j ⌘ <latexit 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</latexit> ˆ u(t+1) j <latexit 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</latexit> ⇣ u(t) j , p(t) j , . . . ⌘ %JSJDIMFUڥք৚݅ Τϯίʔυ͞Εͨ   %JSJDIMFUڥք৚݅ <latexit 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</latexit> ⇣ u(t) i , p(t) i , . . . ⌘ <latexit sha1_base64="TW7w8lkfq4cOY4VQfSF6Y+v5fww=">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</latexit> ⇣ f ⇣ u(t) i ⌘ , g ⇣ p(t) i ⌘ , . . . ⌘ • ৚݅Λ෇Ճ͢Δ෺ཧྔͱಉ͡ΤϯίʔμΛ࢖͍Τϯίʔυ͢Δ • Τϯίʔυ͞ΕۭͨؒͰ஋ͷ্ॻ͖Λ͢Δ ඇઢܗιϧόͷຖΠςϨʔγϣϯ ڥք৚݅ͷߟྀ%JSJDIMFUڥք৚݅Ϟσϧ

• ৚݅Λ෇Ճ͢Δ෺ཧྔͱಉ͡ΤϯίʔμΛ࢖͍Τϯίʔυ͢Δ • Τϯίʔυ͞ΕۭͨؒͰ஋ͷ্ॻ͖Λ͢Δ ඇઢܗιϧόͷຖΠςϨʔγϣϯ • ΤϯίʔμͷQTFVEPJOWFSTFΛ࢖͍σίʔυ͢Δͱɺ%JSJDIMFUڥք৚͕݅ݫີʹຬͨͤΔ
<latexit 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</latexit> ⇣ u(t+1) i , p(t+1) i , . . . ⌘ <latexit sha1_base64="nOf7DZ6WRBSLPAP93YHkBlMFmWU=">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</latexit> ⇣ ˆ u(t+1) j , p(t+1) j , . . . ⌘ <latexit sha1_base64="q7qFtkk511eKe28bBOZ3jlDBC4U=">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</latexit> ⇣ f ⇣ u(t) j ⌘ , g ⇣ p(t) j ⌘ , . . . ⌘ <latexit sha1_base64="iducgtaTP23mbS51fL+hZ2hRyoU=">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</latexit> f ⇣ ˆ u(t+1) j ⌘ <latexit 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</latexit> ˆ u(t+1) j <latexit 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</latexit> ⇣ u(t) j , p(t) j , . . . ⌘ %JSJDIMFUڥք৚݅ Τϯίʔυ͞Εͨ   %JSJDIMFUڥք৚݅ <latexit 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</latexit> ⇣ u(t) i , p(t) i , . . . ⌘ <latexit 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</latexit> ⇣ f ⇣ u(t) i ⌘ , g ⇣ p(t) i ⌘ , . . . ⌘ ڥք৚݅ͷߟྀ%JSJDIMFUڥք৚݅Ϟσϧ

ڥք৚݅ͷߟྀ/FVNBOOڥք৚݅Ϟσϧ <latexit 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x <latexit 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hin,j <latexit 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OJttzvSk+zQTq/Nnk15bG/tmmnB5rhFJuXUvXfziRKi6exNWpsKFY1Rl+JRDGXbtMxHKg0eqKYD2vUwWOTmEJN9yTZvpUgmevRf9ZsAnz3oTfkJpoPe3ALqs93eQe+2fYUfQYlrX+as5vncAmzmFdG6oAV6nSejMkj1C6nxfV5igiqDRyme9z69eq5P75h/Bplk9hSqLHD9pTk99rwPScLquBeiL8QGBkB0+Uz/eUR/h1SfYtNZsDXKausjpPkkMjHTJMWxgmVjXuZimIM2dx/fxQUM42C1dQQ5L9NEv7yf1r1PL6cdZJ6B5ta6OHVv2r3q4grNFB2M0ULvUz/ORuqx7TpFoP/TAVf5JNDOcg6418ogAhFnIsubhF7Bw6rYHOdST0+uE8BwLLbw2TeDX0oxyPO71UXvdc5xoXfnvPxX1HgZmQ7gZ39ZX32rot4nbUW86jZp1IrVzN8nalygoC70Cb8EVD8YoJ8l+f2ghODu9rultfb/Ic1fXL1aXfvV6uvT10u/32j+R+lnC/+08M8L3y+sLfx64fcLewsnC5cL4bN/fPYfz/ae7b/545s/vfmvN/9tq/7kWdPmFwvez5v/+V9M2una</latexit> hrhin i i = M 1 i X j hin,j hin,i kxj xi k xj xi kxj xi k <latexit sha1_base64="NrUCqGtwihVBICIBTXEXtypd/M8=">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</latexit> hrhin i i = M 1 i X j hin,j hin,i kxj xi k xj xi kxj xi k <latexit sha1_base64="V7mmt9MfxAXSWcnfavlbV7JGoVs=">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</latexit> Mi = X l xl xi kxl xi k ⌦ xl xi kxl xi k wil <latexit 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</latexit> hrHin i i = M 1 i X j hin,j hin,i kxj xi k xj xi kxj xi k 6OJUWFDUPS 4MPQF • *TP($/Ͱ͸NFTTBHFؔ਺ʹཻࢠ๏ͷޯ഑ԋࢉࢠϞσϧΛ༻͍ͨͷͰ   ཻࢠ๏ͷ/FVNBOOڥք৚݅Ϟσϧ[Matunaga+ Comput. Methods in Appl. Mech. Eng. 2020]͕࢖༻Ͱ͖Δ

<latexit 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</latexit> hrhin i i = M 1 i X j hin,j hin,i kxj xi k xj xi kxj xi k <latexit 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</latexit> hrhin i i = M 1 i X j hin,j hin,i kxj xi k xj xi kxj xi k <latexit 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N32r/BXUOLelzlr2V/YgO28IlobWqA3eTIug1Q/kJrc5yUWqDJ4lOJZ7/tXz/TbO+avOaaZfQtVFrj/0rw99mwAScLauAeiz8UWJkAM+Uz/94jxDql+i01XwdYpa61fIc2nkcmZpiiOFawa9zIXoxy0u/v4Li5gFAdrrVeQ8zJN9MP7+az3/ct5B5lnoLn1Lk7dm36vurhCM0UHY7TQ+34QZ2P12A6dItB/6YC7fBboYOkDnrUyiEDEmcjyuqBX8LAmtie51MuT6wIwnIgd/OybwbdSDPP8bm3Ze5xzWujTOS//ATVeRmYA+Huwqq++1lCfk7YhXnW7NGrFZub/J1pcoqAu9Rt+CahBMMQ4S/L7YQnB3cdvVtbbf0i0eHH9am39n9Zen2+s/HGr/iOjny39euk3S98trS/989Iflw6WzpaulsKleOlfl/5t6d83/mPjvzb+e+N/bNMf/6ju8/dL3s/G//4Z4fORtQ==</latexit> ni ๏ઢϕΫτϧ <latexit 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</latexit> ni · rHin |i = Ji /FVNBOO#$ <latexit 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</latexit> Mi = X l xl xi kxl xi k ⌦ xl xi kxl xi k wil <latexit 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</latexit> hrHin i i = M 1 i X j hin,j hin,i kxj xi k xj xi kxj xi k 6OJUWFDUPS 4MPQF • *TP($/Ͱ͸NFTTBHFؔ਺ʹཻࢠ๏ͷޯ഑ԋࢉࢠϞσϧΛ༻͍ͨͷͰ   ཻࢠ๏ͷ/FVNBOOڥք৚݅Ϟσϧ[Matunaga+ Comput. Methods in Appl. Mech. Eng. 2020]͕࢖༻Ͱ͖Δ ڥք৚݅ͷߟྀ/FVNBOOڥք৚݅Ϟσϧ

<latexit 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</latexit> Mi = X l xl
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hin,j <latexit 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OJttzvSk+zQTq/Nnk15bG/tmmnB5rhFJuXUvXfziRKi6exNWpsKFY1Rl+JRDGXbtMxHKg0eqKYD2vUwWOTmEJN9yTZvpUgmevRf9ZsAnz3oTfkJpoPe3ALqs93eQe+2fYUfQYlrX+as5vncAmzmFdG6oAV6nSejMkj1C6nxfV5igiqDRyme9z69eq5P75h/Bplk9hSqLHD9pTk99rwPScLquBeiL8QGBkB0+Uz/eUR/h1SfYtNZsDXKausjpPkkMjHTJMWxgmVjXuZimIM2dx/fxQUM42C1dQQ5L9NEv7yf1r1PL6cdZJ6B5ta6OHVv2r3q4grNFB2M0ULvUz/ORuqx7TpFoP/TAVf5JNDOcg6418ogAhFnIsubhF7Bw6rYHOdST0+uE8BwLLbw2TeDX0oxyPO71UXvdc5xoXfnvPxX1HgZmQ7gZ39ZX32rot4nbUW86jZp1IrVzN8nalygoC70Cb8EVD8YoJ8l+f2ghODu9rultfb/Ic1fXL1aXfvV6uvT10u/32j+R+lnC/+08M8L3y+sLfx64fcLewsnC5cL4bN/fPYfz/ae7b/545s/vfmvN/9tq/7kWdPmFwvez5v/+V9M2una</latexit> hrhin i i = M 1 i X j hin,j hin,i kxj xi k xj xi kxj xi k <latexit sha1_base64="NrUCqGtwihVBICIBTXEXtypd/M8=">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</latexit> hrhin i i = M 1 i X j hin,j hin,i kxj xi k xj xi kxj xi k <latexit 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N32r/BXUOLelzlr2V/YgO28IlobWqA3eTIug1Q/kJrc5yUWqDJ4lOJZ7/tXz/TbO+avOaaZfQtVFrj/0rw99mwAScLauAeiz8UWJkAM+Uz/94jxDql+i01XwdYpa61fIc2nkcmZpiiOFawa9zIXoxy0u/v4Li5gFAdrrVeQ8zJN9MP7+az3/ct5B5lnoLn1Lk7dm36vurhCM0UHY7TQ+34QZ2P12A6dItB/6YC7fBboYOkDnrUyiEDEmcjyuqBX8LAmtie51MuT6wIwnIgd/OybwbdSDPP8bm3Ze5xzWujTOS//ATVeRmYA+Huwqq++1lCfk7YhXnW7NGrFZub/J1pcoqAu9Rt+CahBMMQ4S/L7YQnB3cdvVtbbf0i0eHH9am39n9Zen2+s/HGr/iOjny39euk3S98trS/989Iflw6WzpaulsKleOlfl/5t6d83/mPjvzb+e+N/bNMf/6ju8/dL3s/G//4Z4fORtQ==</latexit> ni ๏ઢϕΫτϧ <latexit sha1_base64="Sp7W+i9afhPgFs1A/8EkcICM5RE=">AAA1qXiclVvbdtzKcaWdm8M48XHy6JdeprR8ElOMqCPFeUi8zPtteL+KGh0uDFCDgYib0D0gqTmTf8jX+DX5jPxNqrvRU9UYUMfmWhJRe3cX+rKrqwYDDso0ker16//7yU//4i//6q//5md/u/h3P//7f/jFN7/8xytZjKsQLsMiLaqbQSAhTXK4VIlK4aasIMgGKVwP7jc0f11DJZMiv1BPJXzMgjhPhkkYKITuvvltv87vEtEPo0KJfh4M0kDs3k36WaBGVTZJ8un0B+T/U+zfJXffLL1eeW1+xPzFanOxtND8nNz98u2wHxXhOINchWkg5YfV16X6OAkqlYQpTBf7YwllEN4HMXzAyzzIQH6cmFlNxUtEIjEsKvyXK2FQ3mMSZFI+ZQNsqUcr25wGO7lB5t158qT9y9Zo1PDfP+L0y7GCPLSDGY5ToQqhl1FESQWhSp/wIgirBOcjwlFQBaHCxfa8q+T+i38/PSJVFKl/y0kdVA9JhGP20DKo5H1S+qBdIQ967MD0rV+FEYI5PIRFlgV5NOlHyXA4/fDm46Q/xPFOIrG0OtX/v5lOhXhZVFGSB5We2HAIFe5cEqS+g7LloV/qDQ1S44gM9Of3S/JZR31T8a/C3BVvmuSvtIDFn3Bz3BK6Pd0YnfE7M58Ofd7lOE/U9MMq+hNO9x+WVj+a5dCceEjUSMjP46ACMcAZ34OSvotA2QGlMFQrejj9KolH6oe7yfwyRJDierdAOS5LM4bvJ98urf5zu48cDwx75waIS91qcolrP8gml238yuJXiL8UHgOWgfl9KquC5vMfOJ9lXNRmTr+f83MVVHb5mrFp2/TsT2gp+vP33/J6bXX38Zd5IG0f3fIHts7TxcXFl/pHHG1di8O1i12xubW9d7R3sXd8dC4Mtdh1QCzjbxP+y/pUwBEeBtW9kBjbeDxKUQxFGJT2Wp9EFaCGqiSP9UEQJXUiXbNhEo8raMkCQT3S6QQXOxPf9vB6bmuxTYiqhMq12jBWVzszV9fsTBtdrVRRujYXRdnVYlAoVWSu0bqx5to18w5cs+C5FgPXYvBci9C1CJ9rEbkWkW6B27CLs0v1DEUgsL0+aGGI4RwJXJvM94HXGjTKQEUPhQkO7WXbbIrdNTzGYVmkxQNUr0LMmCuLGIlDs6wwXFqd2A38rz5aNrq6uuNwExWkK2IbxSAVHi1676XeMeStx23ncbvt0dDqoXD3XHrT3FUK10jgjBrjjeuBB09EXZa+W3o712151sddfcddvTXTObeq/upyoPLt4JsQ8Najw4FbENv73PU+7+h95nqZJPpQzKJsZbYw9u7SrMwsBp9ZmrbDUQXQdsn8LX0375FWjfn+bt53kAvATdCdO5YMPts5uybPT9rzgwc+VEL7sW62GjdbXW7WRBU80Lq3nL169SqoiyQSY6mPpmQoykLKBGtA67pMAwydxv/zo9MVTImR1DFHzdjuTZs/e5KNo42Zo40fdYRzzmMwZ7BtK60PA89GhFJxtHP16tWzMsHRBWlcYMU2yjrmiZwd3azRVyfKXM3NdM25Wutw5QTv7oeTmPn6+mFw4XVa+9FOc4uq66Fm5kx9GrXD1Vdf2xTbv63ek1n/E7+/m+nsBjhqff3sgBvBQZJqsab6wiZ6fdX4G6ZFURnaXFneXDYNVk1lM1cjqQoDYWpLjjBIJ5vtBnWQJhFvQB+FLDWdcwlSdXcwzHQ2IyilznGlTNIib/LTGbooMoGVf4KfvMDpG1Qw0Z4fVV5UGXp90UfoxdQtZ9WiA2IGPjMgJvSZkJjIZyJiwGeAmKHPDImJfSYmZuQzI2ISn0mI+eQzn4i595l7YlKfSadGxlUmEokRi5+Ooyd92NkdXBafxlKJqMh/o4T+AIpyfNInj7cxImt8577vnO5a+ExBTOkzJTGffeYzMZXPVMRIn5HEKJ9RxIx9ZkxM7TM1MQ8+80DMo888EvPkM0/EfPGZL1Nb5rkAwMxczI73ugmSiQ2lwZCFzWzcamSjxLUwNuMZx+EBwSw26pBgFhh1RDCLihoIZiFRDwlm8VDHBLNgqEcEs0ioxwSzMKg/EcxioL4nmAVAnRKcMjgjOGMwW2i+wgXBTMx1STBTcv2ZYCbjuiKYabiWBEu+qQSr7jXh0q0JZrqtHwhmoq0fCWaKrZ8IZnKtvxDstLqVgn6QZT7tVR26BSu6znMZrPI6T2aw8us8m8FqsPN0BivEzvMZrBo7T2iwkuw8o8HqsvOURu7ZcxqsQjtParAy7TyrwWq1fVo7LvO5jHPPnsRgpdt5FoPVb+dpDFbEnecxWCV3nshg5dx5JoPVdOepDFbYnecyWHV3nsxgJd55NoPVeefpDFbsneczWMU/f0JjLFRJOKtQsjWKjzUKm2yd4HUGbxC8weBNgjcZvEXwFoO3Cd5m8A7BOwzeJXiXwXsE7zF4n+B9Bh8QfMDgHsE9Bh8SfMjgI4KPGHxM8DGDTwg+YfApwacMPiP4jMHnBJ8z+ILgCwZfEnzJ4CuCrxh8TfA1g28IvmHwe4LfM/iW4Nvnj1dfdGBVxzS6xvRrpMe4dc5t+NwG5zZ9bpNzWz63xbltn9vm3I7P7XBu1+d2Obfnc3uc2/e5fc4d+NwB53o+1+Pcoc8dcu7I5444d+xzx5w78bkTzp363CnnznzujHPnPnfOuQufu+Dcpc9dcu7K5644d+1z15y78bkbzr33ufecu/U5J/srXkLUX8B8jsDPrq9nfesih4n7POuwbGyhfkZJY1YTa9yvh+sGZsjAIlSHmCoEEao+TO2BCNUcdTMSqjRMnYEI1RemukCEqgpTUyBCtYSpJBChCsLUD4hQ3WCqBkSoWjC1AiIpWweLUGVg6gJEcrZ+FqEqwNQAiFDuN5kfEcr4Jt8jQnneZHlEJFtwi1BOr5ttYZtSW4Tyt8neiFDWNjkbEcrVJlMjQhna5GdEuqpRvwytg7Qc6f02v2cKrAeNOIwuHEgftejJREOlQTaIdA97QUSRQaxx85tgI0ktRwegQ0Twf4JkEme6q/lNsBNuI9rZRCYTPv6JFquzUKwhWSjUiE1qYr/UshYKdEgWijMmC4U5IguHy8aKgvxEForxnq3NRItwNvOJFqCzcDHZKqL4CrYkEy06Z6HoPpOFgqvYSk200GYLNNEicxYuNFtmFFhNForrgSwU1iNZKKonslBQX6bNd16YZx8tbnIs6oxyq8msiFBGNfkUEcqjJosiQtnT5M5BxnKmyZiIUKY0eRIRyo8mOyJCWdHkREQoF5pMiAhlQJP/EKG8Z7IeIpTtTK5DhHKcyXCIUGYzeQ0RymcmmyFCWczkMEQod5nMhQhlLJOvEKE8ZbIUIpSdTG6y39c65Grivql1yLVFKP+Y7IMIZR2TcxChXGMyDSK3bAcpLwx4WshORs1B3Mcrtnou9DXTa8J/NrkmhjV3buPYqOgCcqnf0NiEMA0qQFGN1vQJhHe0xZ4cJvpRKeRhESV5jM6CcaoROZxdZ9OJ1E95z0E952BQpNGPuRk8TjEI209q8+bbY5M3G3/mKXUzNWXry1wy9at1h5H+1YbDKALUpsMoBtSWwygK1LbDKA7UjsMoEtSuwygW1J7DKBrUvsMoHtSBwygiVM9hFBPq0GEUFerIYRQX6thhFBnqxGEUG+rUYRQd6sxhFB/q3GEUIerCYRQj6tJhFCXqymEUJ+raYRQp6sZhFCvqvcMoWtStw2xFhkLeqYJyZNnYfc4NvY8b8TqDSRfxBoNJGvEmg0kd8RaDSSDxNoNJI/EOg0km8S6DSSnxHoNJLPE+g0kv8QGDSTJxj8GkmviQwSSc+IjBpJ34mMEkn/iEwaSg+JTBJKL4jMGko/icwSSl+ILBpKb4ksEkqPiKwaSp+JrBJKv4hsGkrPg9g0lc8S2DXcV/bt4e0rScPUUZMHHJdUJJW3KDUJKW3CTUKOul2DTfZIwliEBIUAJvnUIktpbFAMJA42qUSPFQjNMIIbRASPO9B9aS40roV+qKFB3p913gscTa0nyZ675S36Y7kjrlDqEkTrlLKGlT7hFK0pT7hJIy5QGhJEzZI5R0KQ8JJVnKI0JJlfKYUBKlPCGUNClPCSVJyjNCSZHynFASpLwglPQoLwklOcorQkmN8ppQEqO8IZS0KN8TSlKUt4TOHrnkWPeB+QgR2IctTREIVAH0/OJfl4drZKFU18lCiW6QhdLcJAsPuy2yUETbZKF4dshC0eyShWLZIwtFsk8WiuOALBRFjywUwyFZKIIjsnDzj8nCTT8hCzf7lCzc5DOycHPPycJNvSALN/OSLNzEK7Jw867Jwk27IQs36z1ZuEm37H5NpdVUWXrLgG+ZshUXHik6fs1bshjEFl02by0WYyWw3BEPmNJKqPyCCKgi8qqh5vZqpgHTcK4QBFMuQateAlMwQatiAlMyQatmAlM0QatqAlM2QatuAlM4QatyAlM6Qat2AlM8Qat6AlM+Qat+AlNAQauCAlNCQauGAlNEQauKAlNGQauOAlNIQauSAlNKQauWAlNMQauaAlNOQaueAlNQQauiAlNSQaumAlNUQauqAlNWQauuAlNYQauyAlNaQau2AlNcQau6AlNeQau+AlNgAauw8JMCphxVjUGM8wiq9Em/tBQFKhAx5FBhttF2IlHpg7FOPe3Xj7HpdFLeTfpVNjGGSXzaK2RlUiWhed2X+s/eHRw8mXRnXgPRN8H82PLt3hAZBQo/qfu38Fqe8JYn067BZEUE6dcmYhrMZmKtufs0jU6+1qhUSRpB07JvjNnoZz3wmFBFOAqkflk9GKvCfIKCyhth6wXW0raZjbHpMj+ACLx21uxoVyGBh45rZ03UQmieofmN06BMgxCmszdqeg0wFS9Fc+0v72Lr/eJZxttqD6Qn2Us7vTZ7NuW5vXVqZiVb4xaZVlP33M0nKoinsydpbSpUNEdtJcMEqrZrWQxVFjxSSwe022GyKMxLTPYh27yXMh3r2X/RTwJ89qA35W8wHfTmNlC/2+296N32r/BXUOHeVwVreT63ARtFTbQ2tECvi3RYBZl+IDV6KCosUGXwJMWL3vdvXui3d8wfg4xz+xaqLHH/pXl77EUf0pS1cQ9EX4p1TIAY8rn+7wnjHTL9Fpuugq1T1lq/QlqMY5MzTVGcKFg27mUhogK0u4fkPikhSoKV1ivIRZWl+uH9dNL7/vW0gyxy0NxqF6ceTL83XVypmbKDMVrofd9P8qF6aodOGei/dMBdPgl0sJwDnrUyiEEkuciLpqBX8LgiNkaF1MtT6AIwHIlN/Oybw2+kGBTF/cqi9zjnuNSnc1H9C2q8is0A8Hd/WV99raE+J21DvOp2adSKzcz/z7S4QEFd6Df8UlD9YIBxlhYPgwqC+7tvllbbf4c0f3H1ZmX131benr5d+sN68zdKP1v41cKvF75dWF343cIfFnYXThYuF8KF/17448L/LPzvu9++O3138+7WNv3pT5o+/7Tg/bwL/x965Lcz</latexit> ni · rHin |i = Ji /FVNBOO#$ • *TP($/Ͱ͸NFTTBHFؔ਺ʹཻࢠ๏ͷޯ഑ԋࢉࢠϞσϧΛ༻͍ͨͷͰ   ཻࢠ๏ͷ/FVNBOOڥք৚݅Ϟσϧ[Matunaga+ Comput. Methods in Appl. Mech. Eng. 2020]͕࢖༻Ͱ͖Δ ڥք৚݅ͷߟྀ/FVNBOOڥք৚݅Ϟσϧ

਺஋࣮ݧۭؒඍ෼ɾҠྲྀ֦ࢄํఔࣜͷֶश • ϊΠϚϯڥքΛߟྀ͢Δ͜ͱͰ*TP($/ͷۭؒඍ෼ͷۙࣅੑೳ͕޲্ͨ͠ ਖ਼ղ /FVNBOOͳ͠ /FVNBOO͋Γ /FVNBOOͳ͠
ޡࠩ /FVNBOO͋Γ ޡࠩ

਺஋࣮ݧۭؒඍ෼ɾҠྲྀ֦ࢄํఔࣜͷֶश • Ҡྲྀ֦ࢄํఔࣜͷ࣌ܥྻ໰୊ʹ͍ͭͯ͞·͟·ͳڥք৚݅ɾ෺ੑ஋ΛߟྀͰ͖ͨ • ϊΠϚϯڥքΛߟྀ͢Δ͜ͱͰ*TP($/ͷۭؒඍ෼ͷۙࣅੑೳ͕޲্ͨ͠ ਖ਼ղ 1&//
ਖ਼ղ /FVNBOOͳ͠ /FVNBOO͋Γ /FVNBOOͳ͠ ޡࠩ /FVNBOO͋Γ ޡࠩ

਺஋࣮ݧඇѹॖੑ/BWJFSr4UPLFTํఔࣜͷֶश <latexit sha1_base64="USILIFZQpeWK93wEzKMIHtgdlMw=">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</latexit> ⌦ ⇢ R3 @u
@t = (u · r)u + 1 Re r · ru rp i r · u = 0 i u(x, t = 0) = uinit(x) i u = uD o (r ⌦ u)n = 0 o <latexit sha1_base64="USILIFZQpeWK93wEzKMIHtgdlMw=">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</latexit> ⌦ ⇢ R3 @u @t = (u · r)u + 1 Re r · ru rp in ⌦ r · u = 0 in ⌦ u(x, t = 0) = uinit(x) in ⌦ u = uD on @⌦D (r ⌦ u)n = 0 on @⌦N <latexit 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</latexit> ⌦ ⇢ R3 @u @t = (u · r)u + 1 Re r r · u = 0 u(x, t = 0) = uinit(x) u = uD 1 2 r ⌦ u + (r ⌦ u)T n = 0 <latexit 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</latexit> ⌦ ⇢ R3 @u @t = (u · r)u + 1 Re r · ru rp in ⌦ r · u = 0 in ⌦ u(x, t = 0) = uinit(x) in ⌦ u = uD on @⌦D 1 2 r ⌦ u + (r ⌦ u)T n = 0 on @⌦N <latexit 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</latexit> ⌦ ⇢ R3 @u @t = (u · r)u + 1 Re r r · u = 0 u(x, t = 0) = uinit(x) u = uD 1 2 r ⌦ u + (r ⌦ u)T n = 0 <latexit 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</latexit> ⌦ ⇢ R3 @u @t = (u · r)u + 1 Re r · ru rp i r · u = 0 i u(x, t = 0) = uinit(x) i u = uD o (r ⌦ u)n = 0 o ਺஋ղੳ݁Ռ ྲྀ଎ϊϧϜ ॳظ৚݅<latexit sha1_base64="tYUB0xaYWbOBiV/ErpGuov6hj9g=">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</latexit> u = 0 <latexit 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FB2Xct8otLggVo6oNsOk0VuXmKyD9kWvRTJTM/+q34S4LOHgzl/g+lwsLCB+t1u70Xvrn+Ff4IS977MWcuLhQ3YyiuitaEFepMnkzJI9QOp6X1eYoEqg0cpng1+evVMv71j/jPILLNvocoC91+at8eeDSFJWBv3QPS52MQEiCGf6V+PGO+Q6rfYdBVsnbLW+hXSfBaZnGmK4ljBqnEvczHOQbu7j+/iAsZxsNZ5BTkv00Q/vJ/Xg59eznvIPAPNrfdx6t70e9XHFZopehijhcFPwzibqMdu6BSB/p8OuMungQ6WC8CzVgYRiDgTWd4U9Aoe1sTWNJd6eXJdAIZTsY2ffTP4jRSjPL9bW/Ye55wU+nTOy39EjZeRGQD+Ha7qq2811OekbYhX/S6NWrGZ+f1Ei0sU1KV+wy8BNQxGGGdJfj8qIbj79N3Kevf/IS1eXL9aW//ntddnr1d+t9n8H6VfLf390j8sfb+0vvQvS79b2l86XbpaCpf+c+m/lv576X/e/PgmfPP5TWKb/vIXTZ+/W/J+3sz+D7luvF0=</latexit> u = 0 @ 1 0 0 1 A Re in ⌦ in ⌦ on @⌦D on @⌦N • ॳظ஋͸ϙςϯγϟϧྲྀΕ ຎࡲɾӔͳ͠ • ϨΠϊϧζ਺ • े෼ࡉ͔͍ϝογϡͰղੳΛͯ͠ૈ͍ϝογϡͰิֶؒ͠शσʔλͱͨ͠

<latexit sha1_base64="USILIFZQpeWK93wEzKMIHtgdlMw=">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</latexit> ⌦ ⇢ R3 @u @t
= (u · r)u + 1 Re r · ru rp i r · u = 0 i u(x, t = 0) = uinit(x) i u = uD o (r ⌦ u)n = 0 o <latexit 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</latexit> ⌦ ⇢ R3 @u @t = (u · r)u + 1 Re r · ru rp i r · u = 0 i u(x, t = 0) = uinit(x) i u = uD o (r ⌦ u)n = 0 o • ͞·͟·ͳܗঢ়ͷੇ๏Λม͑ͯ   ֶशσʔλΛ࡞੒ͨ͠ - 5SBJOJOHEBUBTFUαϯϓϧ - 7BMJEBUJPOEBUBTFUαϯϓϧ - 5FTUEBUBTFUαϯϓϧ <latexit sha1_base64="USILIFZQpeWK93wEzKMIHtgdlMw=">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</latexit> ⌦ ⇢ R3 @u @t = (u · r)u + 1 Re r · ru rp in ⌦ r · u = 0 in ⌦ u(x, t = 0) = uinit(x) in ⌦ u = uD on @⌦D (r ⌦ u)n = 0 on @⌦N <latexit 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</latexit> ⌦ ⇢ R3 @u @t = (u · r)u + 1 Re r r · u = 0 u(x, t = 0) = uinit(x) u = uD 1 2 r ⌦ u + (r ⌦ u)T n = 0 <latexit 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</latexit> ⌦ ⇢ R3 @u @t = (u · r)u + 1 Re r · ru rp in ⌦ r · u = 0 in ⌦ u(x, t = 0) = uinit(x) in ⌦ u = uD on @⌦D 1 2 r ⌦ u + (r ⌦ u)T n = 0 on @⌦N <latexit 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</latexit> ⌦ ⇢ R3 @u @t = (u · r)u + 1 Re r r · u = 0 u(x, t = 0) = uinit(x) u = uD 1 2 r ⌦ u + (r ⌦ u)T n = 0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 <latexit 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8F0PFjaQPVut/Oid9e/xF9+iXtf5qzlcGkDdvKKaGUogd7myaT0U/VAajrPSyxQhf8ovGeDn189U2/v6D8GmWXmLVRR4P4L/fbYsxEkCWtjH4g+97YxAWLIZ+q/R4x3SNVbbKoKNk5Za/UKaT6LdM7URXEsYV27F7kX5qDczeP7uIAw9jc6ryDnZZqoh/eLevDzy0UPmWeguM0+Ts51v1d9XKGYoofRWhj8PIqziXzshk7hq790wF0+91WwDAHPWuFH4MWZl+VNQS/hYcPbmeZCLU+uCsBg6u3iZ98MfhDeOM/vN1adxzlnhTqd8/IfUeNlpAeAv0fr6upbDdU5aRriVb9LrVZspv9/osUVCupKveGXgBz5Y4yzJJ+PS/DvP32/ttn9O6Tli5tXG5u/23h98Xrt99vN3yj9ZuXvVv5+5ceVzZV/Xvn9yuHK+cr1SrASrfznyn+t/Peb79788GbjzUvT9FffNX3+dsX5efOv/wuQBKZ1</latexit> a1 <latexit 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4PpeLC0gerdbudF765/ib/8Eve+zFnL4dIG7OQV0cpQAr3Nk0npp+qB1HSel1igCv9ReM8GP796pt7e0X8MMsvMW6iiwP0X+u2xZyNIEtbGPhB97m1jAsSQz9R/jxjvkKq32FQVbJyy1uoV0nwW6Zypi+JYwrp2L3IvzEG5m8f3cQFh7G90XkHOyzRRD+8X9eDnl4seMs9AcZt9nJzrfq/6uEIxRQ+jtTD4eRRnE/nYDZ3CV3/pgLt87qtgGQKetcKPwIszL8ubgl7Cw4a3M82FWp5cFYDB1NvFz74Z/CC8cZ7fb6w6j3POCnU65+U/osbLSA8Af4/W1dW3Gqpz0jTEq36XWq3YTP//RIsrFNSVesMvATnyxxhnST4fl+Dff/p+bbP7d0jLFzevNjZ/t/H64vXa77ebv1H6zcrfrfz9yo8rmyv/vPL7lcOV85XrlWAlWvnPlf9a+e8337354c3Gm5em6a++a/r87Yrz8+Zf/xfFH6Z2</latexit> 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8F0PFjaQPVut/Oid9e/xF9+iXtf5qzlcGkDdvKKaGUogd7myaT0U/VAajrPSyxQhf8ovGeDn189U2/v6D8GmWXmLVRR4P4L/fbYsxEkCWtjH4g+97YxAWLIZ+q/R4x3SNVbbKoKNk5Za/UKaT6LdM7URXEsYV27F7kX5qDczeP7uIAw9jc6ryDnZZqoh/eLevDzy0UPmWeguM0+Ts51v1d9XKGYoofRWhj8PIqziXzshk7hq790wF0+91WwDAHPWuFH4MWZl+VNQS/hYcPbmeZCLU+uCsBg6u3iZ98MfhDeOM/vN1adxzlnhTqd8/IfUeNlpAeAv0fr6upbDdU5aRriVb9LrVZspv9/osUVCupKveGXgBz5Y4yzJJ+PS/DvP32/ttn9O6Tli5tXG5u/23h98Xrt99vN3yj9ZuXvVv5+5ceVzZV/Xvn9yuHK+cr1SrASrfznyn+t/Peb79788GbjzUvT9FffNX3+dsX5efOv/wv6OqZ3</latexit> c1 <latexit 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4PpeLC0gerdbudF765/ib/8Eve+zFnL4dIG7OQV0cpQAr3Nk0npp+qB1HSel1igCv9ReM8GP796pt7e0X8MMsvMW6iiwP0X+u2xZyNIEtbGPhB97m1jAsSQz9R/jxjvkKq32FQVbJyy1uoV0nwW6Zypi+JYwrp2L3IvzEG5m8f3cQFh7G90XkHOyzRRD+8X9eDnl4seMs9AcZt9nJzrfq/6uEIxRQ+jtTD4eRRnE/nYDZ3CV3/pgLt87qtgGQKetcKPwIszL8ubgl7Cw4a3M82FWp5cFYDB1NvFz74Z/CC8cZ7fb6w6j3POCnU65+U/osbLSA8Af4/W1dW3Gqpz0jTEq36XWq3YTP//RIsrFNSVesMvATnyxxhnST4fl+Dff/p+bbP7d0jLFzevNjZ/t/H64vXa77ebv1H6zcrfrfz9yo8rmyv/vPL7lcOV85XrlWAlWvnPlf9a+e8337354c3Gm5em6a++a/r87Yrz8+Zf/xcvYqZ4</latexit> c2 Type A Type B Type C ਺஋࣮ݧඇѹॖੑ/BWJFSr4UPLFTํఔࣜͷֶश

<latexit 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</latexit> ⌦ ⇢ R3 @u @t
= (u · r)u + 1 Re r · ru rp in ⌦ r · u = 0 in ⌦ u(x, t = 0) = uinit(x) in ⌦ u = uD on @⌦D (r ⌦ u)n = 0 on @⌦N <latexit sha1_base64="HShUq+EErd8QR3+dAGh5yeG/6Zg=">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</latexit> r · rp(x, t + t) = 1 t r ·  u t ✓ u · ru 1 Re r · ru ◆ (x, t) <latexit 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</latexit> u(x, t + t) = u(x, t) rp(x, t + t) t 'SBDUJPOBMTUFQ๏ʹΑΔ൒ӄղ๏Ͱ࣌ؒΛ཭ࢄԽ <latexit sha1_base64="xWESYmzm4eX6Yz6T9qSk5WEzHrM=">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</latexit> ⌦ ⇢ R3 @u @t = (u · r)u + 1 Re r · ru r · u = 0 u(x, t = 0) = uinit(x) u = uD 1 2 r ⌦ u + (r ⌦ u)T n = 0 ਺஋࣮ݧඇѹॖੑ/BWJFSr4UPLFTํఔࣜͷֶश

<latexit sha1_base64="HShUq+EErd8QR3+dAGh5yeG/6Zg=">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</latexit> r · rp(x, t +
t) = 1 t r ·  u t ✓ u · ru 1 Re r · ru ◆ (x, t) <latexit 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F3XshirLHiglg7otsNkUZiXmOxDtkUvZTrVs/+qnwT47OFgzt9gOhwsbKB+t9t70bvrX+GvoMK9rwrW8mJhA7aLmmhtaIHeFOm4CjL9QGpyX1RYoMrgUYpng59ePtNv75g/Bpnm9i1UWeL+S/P22LMhpClr4x6IPhdbmAAx5HP93yPGO2T6LTZdBVunrLV+hbSYxiZnmqI4UbBq3MtCRAVod/fJXVJClATrnVeQiypL9cP7+Wzw04t5D1nkoLmNPk7dm34v+7hSM2UPY7Qw+GmY5GP12A2dMtB/6YC7fBroYLkAPGtlEINIcpEXTUGv4GFdbE8KqZen0AVgOBE7+Nk3h99IMSqKu/Vl73HOSalP56L6W9R4FZsB4O/hqr76VkN9TtqGeNXv0qgVm5n/n2hxiYK61G/4paCGwQjjLC3uRxUEd5++W9no/h3S4sX1y/WNf1h/dfZq5bdbzd8o/Wrpr5f+Zun7pY2lf1z67dL+0unS1VK49B9L/7n030v/8/rw9ZfXD6+/2qa//EXT56+WvJ/X//6/PnS/fA==</latexit> u(x, t + t) = u(x, t) rp(x, t + t) t ϝογϡͰۭؒΛ཭ࢄԽ *TP($/Ͱۭؒඍ෼Λۙࣅ <latexit sha1_base64="a04+wcNcLMVw5YGSstbb5NZWLJY=">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</latexit> u(x, t + t) = u(x, t) IsoGCN0!1[p(x, t + t)] t Solve : IsoGCN1!0 IsoGCN0!1[p(x, t + t)] GCN1!2[u] 1 Re IsoGCN1!0 IsoGCN0!1[u] ◆ Solve : IsoGCN1!0 IsoGCN0!1[p(x, t + t)] oGCN1!2[u] 1 Re IsoGCN1!0 IsoGCN0!1[u] ◆ <latexit sha1_base64="56Os2oAFMKIYOzV8SnlWZJcU+WY=">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</latexit> Solve : IsoGCN1!0 IsoGCN0!1[p(x, t + t)] = 1 t IsoGCN1!0  u t ✓ u · IsoGCN1!2[u] 1 Re IsoGCN2!1 IsoGCN1!2[u] ◆ (x, t) <latexit sha1_base64="USILIFZQpeWK93wEzKMIHtgdlMw=">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</latexit> ⌦ ⇢ R3 @u @t = (u · r)u + 1 Re r · ru rp in ⌦ r · u = 0 in ⌦ u(x, t = 0) = uinit(x) in ⌦ u = uD on @⌦D (r ⌦ u)n = 0 on @⌦N <latexit sha1_base64="xWESYmzm4eX6Yz6T9qSk5WEzHrM=">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</latexit> ⌦ ⇢ R3 @u @t = (u · r)u + 1 Re r · ru r · u = 0 u(x, t = 0) = uinit(x) u = uD 1 2 r ⌦ u + (r ⌦ u)T n = 0 'SBDUJPOBMTUFQ๏ʹΑΔ൒ӄղ๏Ͱ࣌ؒΛ཭ࢄԽ ਺஋࣮ݧඇѹॖੑ/BWJFSr4UPLFTํఔࣜͷֶश

• ඇઢܗιϧόΛಋೖ͢Δͱ   ༧ଌ݁Ռ͕ΑΓͳΊΒ͔ʹ   ߴਫ਼౓ʹͳΔ ਺஋ղੳ݁Ռ
ਖ਼ղ ඇઢܗιϧόͳ͠ ཅղ๏ ྲྀ଎ϊϧϜ 1&//ඇઢܗιϧό͋Γ ӄղ๏ ਺஋࣮ݧඇѹॖੑ/BWJFSr4UPLFTํఔࣜͷֶश

਺஋ղੳ݁Ռ ਖ਼ղ 1&// ྲྀ଎ϊϧϜ ਺஋࣮ݧඇѹॖੑ/BWJFSr4UPLFTํఔࣜͷֶश Brandstetter+ ICLR.
2022

ྲྀ଎ϊϧϜ • ఏҊख๏Ͱ͸ڥք৚݅ΛޡࠩθϩͰߟྀͰ͖Δ ྲྀ଎ͷޡࠩ ʷ ʷ ڥք৚݅ͷޡࠩ
ʷ ਺஋ղੳ݁Ռ ਖ਼ղ Brandstetter+ ICLR. 2022 1&// ਺஋࣮ݧඇѹॖੑ/BWJFSr4UPLFTํఔࣜͷֶश

• ఏҊख๏͸   ೖྗΛճసͤͯ͞΋   ༧ଌ݁Ռ͕ྼԽ͠ͳ͍ ➡
෺ཧݱ৅ͷରশੑ͕   ൓ө͞Ε͍ͯΔ ೖྗσʔλΛճస ྲྀ଎ϊϧϜ ਺஋ղੳ݁Ռ ਖ਼ղ 1&// ਺஋࣮ݧඇѹॖੑ/BWJFSr4UPLFTํఔࣜͷֶश Brandstetter+ ICLR. 2022

10°4 10°3 10°2 10°1 100 Total MSE 100
101 102 103 Total time [s] PENN (Ours) MP-PDE MP-PDE (Trans.) OpenFOAM $POWFOUJPOBM   OVNFSJDBMBOBMZTJT 0QFO'0". Brandstetter+ ICLR. 2022 Brandstetter+   ICLR. 2022 (rotated input) #FUUFS #FUUFS ߴ͍ۭ࣌ؒղ૾౓ͷ਺஋ղੳ   ͱͷ3.4& ಉҰͷ$16Ͱͷ   ܭࢉ࣌ؒ 1&// • ਺஋ղੳख๏Ͱ   ϝογϡ΍࣌ؒࠁΈͷղ૾౓Λ   ௐઅ͢Δ͜ͱͰ͞·͟·ͳ   ਫ਼౓ɾ଎౓ͷղੳΛߦͬͨ • ఏҊख๏Ͱ͸਺஋ղੳख๏ʹ   ݟΒΕΔਫ਼౓ɾ଎౓ͷ   τϨʔυΦϑΛվળ͍ͯ͠Δ • ଟ͘ͷطଘݚڀͰ͸   ҟͳΔσόΠε $16WT(16 ΍   ҟͳΔਫ਼౓ͷઃఆͰൺֱ͍ͯ͠Δ   ͜ͱ͕͋ΔͷͰ஫ҙ ਺஋࣮ݧඇѹॖੑ/BWJFSr4UPLFTํఔࣜͷֶश

• ภඍ෼ํఔࣜͷ਺஋ղੳ • *TP($/෺ཧݱ৅ͷੑ࣭Λ൓өͰ͖ΔػցֶशϞσϧ[Horie+ ICLR. 2021] • 1IZTJDT&NCFEEFE/FVSBM/FUXPSL
1&// *TP($/ͷ͞ΒͳΔߴ౓Խ[Horie+ NeurIPS. 2022] • ·ͱΊ ໨࣍ [Horie+ ICLR. 2021] Masanobu Horie, Naoki Morita, Toshiaki Hishinuma, Yu Ihara, and Naoto Mitsume. Isometric transformation invariant and equivariant graph convolutional networks. In ICLR, 2021. [Horie+ NeurIPS. 2022] Masanobu Horie and Naoto Mitsume. Physics-Embedded Neural Networks: Graph Neural PDE Solvers with Mixed Boundary Conditions. In NeurIPS, 2022.

ຊ೔ͷϝοηʔδ਺஋ղੳͷػցֶश͸೉͍͠ɾ͓΋͠Ζ͍ • ೉͠͞ - σʔλͷଐ͢Δۭ͕ؒՄม࣍ݩͰ͋Γଟ༷ͳܗঢ়Λ༗͢Δ - σʔλͷଐ͢Δۭ͕ؒ௒ߴ࣍ݩ
ສҎ্ Ͱ͋Δ͜ͱ͕ଟ͍ • ͓΋͠Ζ͞ - ෺ཧ΍਺஋ղੳख๏ͱҙ֎ͳͱ͜ΖͰͭͳ͕͍ͬͯΔ͜ͱ͕͋Δ - ਺ֶɾ෺ཧɾ޻ֶɾ࢈ۀʹ͓͍ͯͱͯ΋ॏཁͳର৅ ➡ ߴ଎ɾߴਫ਼౓ͳ༧ଌϞσϧ͸ΈΜͳ΄͍͠ʂ

ຊ೔ͷϝοηʔδ਺஋ղੳͷػցֶश͸೉͍͠ɾ͓΋͠Ζ͍ ˠಉมੑΛߟྀ ˠ(//Λ࢖༻ ˠۭؒඍ෼WT(//   ˠ࣌ؒੵ෼  
ɹɹɹWTHMPCBMQPPMJOH • ೉͠͞ - σʔλͷଐ͢Δۭ͕ؒՄม࣍ݩͰ͋Γଟ༷ͳܗঢ়Λ༗͢Δ - σʔλͷଐ͢Δۭ͕ؒ௒ߴ࣍ݩ ສҎ্ Ͱ͋Δ͜ͱ͕ଟ͍ • ͓΋͠Ζ͞ - ෺ཧ΍਺஋ղੳख๏ͱҙ֎ͳͱ͜ΖͰͭͳ͕͍ͬͯΔ͜ͱ͕͋Δ - ਺ֶɾ෺ཧɾ޻ֶɾ࢈ۀʹ͓͍ͯͱͯ΋ॏཁͳର৅ ➡ ߴ଎ɾߴਫ਼౓ͳ༧ଌϞσϧ͸ΈΜͳ΄͍͠ʂ

ຊ೔ͷϝοηʔδ਺஋ղੳͷػցֶशͷجૅ͸Ͱ͖ͭͭ͋Δ • *TP($/E(n)ಉม͔ͭߴ଎ͳ(// - ෺ཧݱ৅ͷੑ࣭Λ൓өͰ͖೚ҙͷϝογϡʹద༻Ͱ͖ΔػցֶशϞσϧΛ։ൃͨ͠ - ೤֦ࢄํఔࣜʹ͓͍ͯɺطଘख๏ΑΓߴ଎Ͱ൚༻ੑͷߴ͍͜ͱΛ࣮ূͨ͠
• 1IZTJDT&NCFEEFE/FVSBM/FUXPSL(MPCBMQPPMJOHͱڥք৚݅ͷಋೖ - ӄղ๏ʹΑΔ(MPCBMQPPMJOHͱڥք৚݅ͷਫ਼៛ͳߟྀΛػցֶशϞσϧʹಋೖͨ͠ - ඇѹॖੑྲྀΕʹ͓͍ͯɺطଘख๏ΑΓߴ଎ɾߴਫ਼౓Ͱ͋Δ͜ͱΛ࣮ূͨ͠ ӄղ๏ɺڥք৚݅෇༩ ೖྗ ग़ྗ ਖ਼ղ ༧ଌ

物理現象の性質を反映させたグラフニューラルネットワークによる偏微分方程式の学習

物理現象の性質を反映させたグラフニューラルネットワークによる偏微分方程式の学習

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