局所保存性・相似変換対称性を満たす機械学習モデルによる数値流体力学

第13回学習物理領域セミナー＋第65回DLAP

Transcript

1.   ہॴอଘੑɾ૬ࣅม׵ରশੑΛຬͨ͢ػցֶशϞσϧ
   ʹΑΔ਺஋ྲྀମྗֶ 
   ೥
   
   ݄
   
   ೔
   ୈ
   
   ճֶश෺ཧྖҬηϛφʔʴୈ
   
   ճ
   %-"1
   ງߐਖ਼৴
   גࣜձࣾ3*$04 ࢀরղ ༧ଌ݁Ռ [Horie & Mitsume. ICML 2024]
2. ϝοηʔδ
   ෺ཧݱ৅ͷੑ࣭Λຬͨ͢ػցֶशϞσϧ͸ॏཁ • ෺ཧݱ৅ͷੑ࣭
   อଘੑɾରশੑͳͲ
   Λຬͨ͢ػցֶश͸൚Խੑೳ͕ߴ͍
   • ਺஋ղੳख๏Λಋೖ͢Δ͜ͱͰ෺ཧݱ৅ͷੑ࣭Λݫີʹຬͨ͢ػցֶशϞσϧ͕ߏ੒Մೳ
   • อଘੑɾରশੑΛຬͨ͢ػցֶशϞσϧͰۭ࣌ؒ֎ૠ͕ՄೳͰ͋Δ͜ͱΛ࣮ূͨ͠  ࢀরղ ༧ଌ݁Ռ ମੵ෼཰ ࢀরղ .11%& 1&// ఏҊख๏ ಺ૠ ۭؒͷ
   ֎ૠ [Brandstetter et al. 2022] [Horie & Mitsume 2022] [Horie & Mitsume 2024] ྲྀ଎
3. ໨࣍ • ݚڀͷ֓ཁ  ࿨෼ /VNFSJDBM
   GMVY
   ʹରԠ͢Δ
   // ࣌ࠁ
   U ࣌ࠁ
   U
   
   ϶U • ख๏
   - ہॴอଘੑ
   ༗ݶମੵ๏Λಋೖ
   - ૬ࣅม׵ରশੑ
   ཭ࢄԽεέʔϧΛಋೖ • ਺஋࣮ݧ
   ۭ࣌ؒͷ֎ૠ • ·ͱΊ <latexit sha1_base64="f69CgSP6DjgH/TDaBunZ3wxr8as=">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</latexit> '
4. ໨࣍ • ݚڀͷ֓ཁ  ࿨෼ /VNFSJDBM
   GMVY
   ʹରԠ͢Δ
   // ࣌ࠁ
   U ࣌ࠁ
   U
   
   ϶U • ख๏
   - ہॴอଘੑ
   ༗ݶମੵ๏Λಋೖ
   - ૬ࣅม׵ରশੑ
   ཭ࢄԽεέʔϧΛಋೖ • ਺஋࣮ݧ
   ۭ࣌ؒͷ֎ૠ • ·ͱΊ <latexit sha1_base64="f69CgSP6DjgH/TDaBunZ3wxr8as=">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</latexit> '
5. ݚڀͷ֓ཁ
   Ϟνϕʔγϣϯ  • ෺ཧݱ৅
   ภඍ෼ํఔࣜ
   ͷػցֶशʹΑͬͯ͞·͟·ͳޮՌ͕ظ଴Ͱ͖Δ
6. ݚڀͷ֓ཁ
   Ϟνϕʔγϣϯ  - ༧ଌͷߴ଎Խ
   աڈͷ஌ݟΛ׆༻͠ߴ଎ʹ༧ଌ ػցֶशϞσϧ
   ʹΑΔ༧ଌ طଘͷ਺஋ղੳ • ෺ཧݱ৅
   ภඍ෼ํఔࣜ
   ͷػցֶशʹΑͬͯ͞·͟·ͳޮՌ͕ظ଴Ͱ͖Δ
7. ݚڀͷ֓ཁ
   Ϟνϕʔγϣϯ  - ༧ଌͷߴ଎Խ
   աڈͷ஌ݟΛ׆༻͠ߴ଎ʹ༧ଌ - ༧ଌͷߴਫ਼౓Խ
   ࣮ݧɾ࣮ଌσʔλΛֶश͠਺஋ղੳΑΓ΋࣮ݱ৅ʹ͍ۙ༧ଌ ػցֶशϞσϧ
   ʹΑΔ༧ଌ طଘͷ਺஋ղੳ Pathak et al. arXiv, 2022 ػցֶशϞσϧ
   ʹΑΔ༧ଌ ࣮ଌ • ෺ཧݱ৅
   ภඍ෼ํఔࣜ
   ͷػցֶशʹΑͬͯ͞·͟·ͳޮՌ͕ظ଴Ͱ͖Δ
8. ݚڀͷ֓ཁ
   Ϟνϕʔγϣϯ  ػցֶशϞσϧ
   ʹΑΔ༧ଌ طଘͷ਺஋ղੳ Pathak et al. arXiv, 2022 ػցֶशϞσϧ
   ʹΑΔ༧ଌ ࣮ଌ - ༧ଌͷߴ଎Խ
   աڈͷ஌ݟΛ׆༻͠ߴ଎ʹ༧ଌ - ༧ଌͷߴਫ਼౓Խ
   ࣮ݧɾ࣮ଌσʔλΛֶश͠਺஋ղੳΑΓ΋࣮ݱ৅ʹ͍ۙ༧ଌ - ٯ໰୊ɾ৽ͨͳ๏ଇͷൃݟ
   ֶशࡁΈϞσϧΛղੳ͢Δ͜ͱʹΑΓݱ৅ͷཧղΛଅਐ ిྲྀ ిѹ • ෺ཧݱ৅
   ภඍ෼ํఔࣜ
   ͷػցֶशʹΑͬͯ͞·͟·ͳޮՌ͕ظ଴Ͱ͖Δ
9. ݚڀͷ֓ཁ
   Ϟνϕʔγϣϯ  ػցֶशϞσϧ
   ʹΑΔ༧ଌ طଘͷ਺஋ղੳ Pathak et al. arXiv, 2022 ػցֶशϞσϧ
   ʹΑΔ༧ଌ ࣮ଌ - ༧ଌͷߴ଎Խ
   աڈͷ஌ݟΛ׆༻͠ߴ଎ʹ༧ଌ - ༧ଌͷߴਫ਼౓Խ
   ࣮ݧɾ࣮ଌσʔλΛֶश͠਺஋ղੳΑΓ΋࣮ݱ৅ʹ͍ۙ༧ଌ - ٯ໰୊ɾ৽ͨͳ๏ଇͷൃݟ
   ֶशࡁΈϞσϧΛղੳ͢Δ͜ͱʹΑΓݱ৅ͷཧղΛଅਐ ఍߅ ిྲྀ ిѹ • ෺ཧݱ৅
   ภඍ෼ํఔࣜ
   ͷػցֶशʹΑͬͯ͞·͟·ͳޮՌ͕ظ଴Ͱ͖Δ
10. ݚڀͷ֓ཁ
    Ϟνϕʔγϣϯ  ➡ ਺஋ղੳΛػցֶशͰߦ͏ߴ଎ɾߴਫ਼౓ɾ൚༻తͳ
    OFVSBM
    P​ D​ &
    TPMWFS
    Λ࣮ݱ͍ͨ͠ - ༧ଌͷߴ଎Խ
    աڈͷ஌ݟΛ׆༻͠ߴ଎ʹ༧ଌ - ༧ଌͷߴਫ਼౓Խ
    ࣮ݧɾ࣮ଌσʔλΛֶश͠਺஋ղੳΑΓ΋࣮ݱ৅ʹ͍ۙ༧ଌ - ٯ໰୊ɾ৽ͨͳ๏ଇͷൃݟ
    ֶशࡁΈϞσϧΛղੳ͢Δ͜ͱʹΑΓݱ৅ͷཧղΛଅਐ ػցֶशϞσϧ
    ʹΑΔ༧ଌ طଘͷ਺஋ղੳ Pathak et al. arXiv, 2022 ػցֶशϞσϧ
    ʹΑΔ༧ଌ ࣮ଌ ఍߅ ిྲྀ ిѹ • ෺ཧݱ৅
    ภඍ෼ํఔࣜ
    ͷػցֶशʹΑͬͯ͞·͟·ͳޮՌ͕ظ଴Ͱ͖Δ
11. ݚڀͷ֓ཁ
    /FVSBM
    1%&
    4PMWFS
    ͷ՝୊ͱղܾํ਑  • ࣮༻తͳ਺஋ղੳσʔλ͸ػցֶशख๏ʹͱͬͯѻ͍ʹ͍͘ੑ࣭͕͋Δ
12. ݚڀͷ֓ཁ
    /FVSBM
    1%&
    4PMWFS
    ͷ՝୊ͱղܾํ਑  ཁૉ਺
       ཁૉ਺
       - Մมࣗ༝౓
    ࣗ༝౓͕Մมͩͱݹయతͳػցֶशख๏Λͦͷ··ద༻͢Δ͜ͱ͕Ͱ͖ͳ͍ • ࣮༻తͳ਺஋ղੳσʔλ͸ػցֶशख๏ʹͱͬͯѻ͍ʹ͍͘ੑ࣭͕͋Δ
13. • ࣮༻తͳ਺஋ղੳσʔλ͸ػցֶशख๏ʹͱͬͯѻ͍ʹ͍͘ੑ࣭͕͋Δ ݚڀͷ֓ཁ
    /FVSBM
    1%&
    4PMWFS
    ͷ՝୊ͱղܾํ਑  ཁૉ਺
       ཁૉ਺
       - Մมࣗ༝౓
    ࣗ༝౓͕Մมͩͱݹయతͳػցֶशख๏Λͦͷ··ద༻͢Δ͜ͱ͕Ͱ͖ͳ͍ ➡ ղੳྖҬͷܗঢ়ʹର͢Δ൚༻ੑ͕ඞཁ ղੳྖҬͷܗঢ়ʹର͢Δ൚༻ੑ
14. ݚڀͷ֓ཁ
    /FVSBM
    1%&
    4PMWFS
    ͷ՝୊ͱղܾํ਑  ཁૉ਺
       ཁૉ਺
       - େࣗ༝౓
    
    ສҎ্ 
    ࣗ༝౓͕େ͖͍ͱऔΓ͏Δঢ়ଶ͕ଟ༷ʹͳΓֶश͕ࠔ೉ʹͳΔ
    • ը૾ೝࣝͷஶ໊ͳσʔληοτ
    $*'"3
    ͸
    
    αϯϓϧ͋ͨΓ
     
    ࣗ༝౓ ➡ ղੳྖҬͷܗঢ়ʹର͢Δ൚༻ੑ͕ඞཁ • ࣮༻తͳ਺஋ղੳσʔλ͸ػցֶशख๏ʹͱͬͯѻ͍ʹ͍͘ੑ࣭͕͋Δ - Մมࣗ༝౓
    ࣗ༝౓͕Մมͩͱݹయతͳػցֶशख๏Λͦͷ··ద༻͢Δ͜ͱ͕Ͱ͖ͳ͍ ղੳྖҬͷܗঢ়ʹର͢Δ൚༻ੑ
15. ݚڀͷ֓ཁ
    /FVSBM
    1%&
    4PMWFS
    ͷ՝୊ͱղܾํ਑  ཁૉ਺
       ཁૉ਺
       ରশੑΛߟྀ͢Δ
    ͜ͱʹΑΔ
    ࣗ༝౓ͷফڈ ➡ ෺ཧݱ৅ͷੑ࣭Λߟྀࣗ͠༝౓Λফڈ͢Δ͜ͱʹΑΔ൚༻ੑͷ޲্͕ඞཁ ෺ཧݱ৅ͷੑ࣭ • ࣮༻తͳ਺஋ղੳσʔλ͸ػցֶशख๏ʹͱͬͯѻ͍ʹ͍͘ੑ࣭͕͋Δ - େࣗ༝౓
    
    ສҎ্ 
    ࣗ༝౓͕େ͖͍ͱऔΓ͏Δঢ়ଶ͕ଟ༷ʹͳΓֶश͕ࠔ೉ʹͳΔ
    • ը૾ೝࣝͷஶ໊ͳσʔληοτ
    $*'"3
    ͸
    
    αϯϓϧ͋ͨΓ
     
    ࣗ༝౓ ➡ ղੳྖҬͷܗঢ়ʹର͢Δ൚༻ੑ͕ඞཁ - Մมࣗ༝౓
    ࣗ༝౓͕Մมͩͱݹయతͳػցֶशख๏Λͦͷ··ద༻͢Δ͜ͱ͕Ͱ͖ͳ͍ ղੳྖҬͷܗঢ়ʹର͢Δ൚༻ੑ
16. ݚڀͷ֓ཁ
    /FVSBM
    1%&
    4PMWFS
    ͷ՝୊ͱղܾํ਑  • ղੳྖҬͷܗঢ়ʹର͢Δ൚༻ੑ • ෺ཧݱ৅ͷੑ࣭
17. ݚڀͷ֓ཁ
    /FVSBM
    1%&
    4PMWFS
    ͷ՝୊ͱղܾํ਑  - ೚ҙͷܗঢ়ʹద༻Ͱ͖Δ
    ػցֶशϞσϧΛ༻͍Δඞཁ͕͋Δ • ղੳྖҬͷܗঢ়ʹର͢Δ൚༻ੑ • (SBQI
    OFVSBM
    OFUXPSL
    (//
    Λ࢖͏ .FTTBHF
    ؔ਺ 6QEBUF
    ؔ਺ ࣮ݱํ๏ • ෺ཧݱ৅ͷੑ࣭
18. ݚڀͷ֓ཁ
    /FVSBM
    1%&
    4PMWFS
    ͷ՝୊ͱղܾํ਑  • ղੳྖҬͷܗঢ়ʹର͢Δ൚༻ੑ - ೚ҙͷܗঢ়ʹద༻Ͱ͖Δ
    ػցֶशϞσϧΛ༻͍Δඞཁ͕͋Δ • ෺ཧݱ৅ͷੑ࣭ - ہॴอଘੑ
    ۙ๣ͱͷ෺ཧྔͷ
    ΍ΓͱΓ͸อଘ͢Δ
19. ݚڀͷ֓ཁ
    /FVSBM
    1%&
    4PMWFS
    ͷ՝୊ͱղܾํ਑  • ղੳྖҬͷܗঢ়ʹର͢Δ൚༻ੑ - ೚ҙͷܗঢ়ʹద༻Ͱ͖Δ
    ػցֶशϞσϧΛ༻͍Δඞཁ͕͋Δ • ෺ཧݱ৅ͷੑ࣭ - ہॴอଘੑ
    ۙ๣ͱͷ෺ཧྔͷ
    ΍ΓͱΓ͸อଘ͢Δ
20. ݚڀͷ֓ཁ
    /FVSBM
    1%&
    4PMWFS
    ͷ՝୊ͱղܾํ਑  - ೚ҙͷܗঢ়ʹద༻Ͱ͖Δ
    ػցֶशϞσϧΛ༻͍Δඞཁ͕͋Δ • ղੳྖҬͷܗঢ়ʹର͢Δ൚༻ੑ น ྲྀΕ ղੳྖҬ ղੳ݁Ռ ղੳ - ૬ࣅม׵܈ಉมੑ
    
    ಉҰͷ෺ཧݱ৅ΛҟͳΔ࠲ඪܥͰ
    ؍ଌ͢Δͱ૬ࣅม׵Λड͚Δ͕
    ݱ৅ͷຊ࣭͸มԽ͠ͳ͍ • ෺ཧݱ৅ͷੑ࣭ - ہॴอଘੑ
    ۙ๣ͱͷ෺ཧྔͷ
    ΍ΓͱΓ͸อଘ͢Δ
21. ݚڀͷ֓ཁ
    /FVSBM
    1%&
    4PMWFS
    ͷ՝୊ͱղܾํ਑  • ղੳྖҬͷܗঢ়ʹର͢Δ൚༻ੑ - ೚ҙͷܗঢ়ʹద༻Ͱ͖Δ
    ػցֶशϞσϧΛ༻͍Δඞཁ͕͋Δ น ྲྀΕ ղੳྖҬ ղੳ݁Ռ ղੳ ղੳ ૬ࣅม׵ - ૬ࣅม׵܈ಉมੑ
    
    ಉҰͷ෺ཧݱ৅ΛҟͳΔ࠲ඪܥͰ
    ؍ଌ͢Δͱ૬ࣅม׵Λड͚Δ͕
    ݱ৅ͷຊ࣭͸มԽ͠ͳ͍ • ෺ཧݱ৅ͷੑ࣭ - ہॴอଘੑ
    ۙ๣ͱͷ෺ཧྔͷ
    ΍ΓͱΓ͸อଘ͢Δ
22. น ྲྀΕ ղੳྖҬ ղੳ݁Ռ ղੳ ղੳ ૬ࣅม׵ ݚڀͷ֓ཁ
    /FVSBM
    1%&
    4PMWFS
    ͷ՝୊ͱղܾํ਑  <latexit sha1_base64="wHrwXBcOO2OxXsE8OjnJuKmhDRo=">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</latexit> (1, 1) <latexit sha1_base64="BNxwav/+mswo7KuyGrImjgwDd1c=">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</latexit> (1, 0) • ղੳྖҬͷܗঢ়ʹର͢Δ൚༻ੑ - ೚ҙͷܗঢ়ʹద༻Ͱ͖Δ
    ػցֶशϞσϧΛ༻͍Δඞཁ͕͋Δ - ૬ࣅม׵܈ಉมੑ
    
    ಉҰͷ෺ཧݱ৅ΛҟͳΔ࠲ඪܥͰ
    ؍ଌ͢Δͱ૬ࣅม׵Λड͚Δ͕
    ݱ৅ͷຊ࣭͸มԽ͠ͳ͍ • ෺ཧݱ৅ͷੑ࣭ - ہॴอଘੑ
    ۙ๣ͱͷ෺ཧྔͷ
    ΍ΓͱΓ͸อଘ͢Δ
23. ݚڀͷ֓ཁ
    /FVSBM
    1%&
    4PMWFS
    ͷ՝୊ͱղܾํ਑  • ղੳྖҬͷܗঢ়ʹର͢Δ൚༻ੑ - ೚ҙͷܗঢ়ʹద༻Ͱ͖Δ
    ػցֶशϞσϧΛ༻͍Δඞཁ͕͋Δ <latexit sha1_base64="5ZYyyFqCOKeG/NzVXEbOAjqJ7pg=">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</latexit> X X Y Y g· f f g· - ૬ࣅม׵܈ಉมੑ
    
    ಉҰͷ෺ཧݱ৅ΛҟͳΔ࠲ඪܥͰ
    ؍ଌ͢Δͱ૬ࣅม׵Λड͚Δ͕
    ݱ৅ͷຊ࣭͸มԽ͠ͳ͍ • ෺ཧݱ৅ͷੑ࣭ - ہॴอଘੑ
    ۙ๣ͱͷ෺ཧྔͷ
    ΍ΓͱΓ͸อଘ͢Δ • ؔ਺
    f: X → Y
    ͕܈
    G
    ͷ࡞༻ʹରͯ͠
    GಉมʢGFRVJWBSJBOUʣͰ͋Δ G
    Λ܈ɺXɺY
    Λࠨ
    Gू߹ͱ͢Δ ఆٛ
    G-ಉมੑ
24. ݚڀͷ֓ཁ
    /FVSBM
    1%&
    4PMWFS
    ͷ՝୊ͱղܾํ਑  • ղੳྖҬͷܗঢ়ʹର͢Δ൚༻ੑ - ೚ҙͷܗঢ়ʹద༻Ͱ͖Δ
    ػցֶशϞσϧΛ༻͍Δඞཁ͕͋Δ - ૬ࣅม׵܈ಉมੑ
    
    ಉҰͷ෺ཧݱ৅ΛҟͳΔ࠲ඪܥͰ
    ؍ଌ͢Δͱ૬ࣅม׵Λड͚Δ͕
    ݱ৅ͷຊ࣭͸มԽ͠ͳ͍ • ෺ཧݱ৅ͷੑ࣭ - ہॴอଘੑ
    ۙ๣ͱͷ෺ཧྔͷ
    ΍ΓͱΓ͸อଘ͢Δ • ಉมੑ͸ػցֶशϞσϧͷ൚༻ੑΛߴΊΔ
    - ൚Խޡࠩ
    ະ஌ͷσʔλʹର͢Δޡࠩ
    ͷ
    TVQ
    ͸܈࡞༻Ͱׂۭͬͨؒͷʮମੵʯʹ
    ൺྫ͍ͯ͠Δ
    ༗ݶ܈ͷ৔߹ [Sannai+, UAI, 2021]
    - ॏΈڞ༗ͱಉมੑ͸ີ઀ͳؔ܎͕͋Δ
    [Ravanbakhsh+, ICML, 2017] ࣗ໌܈ ८ճ܈ ஔ׵܈ Sannai+, UAI, 2021
25. ݚڀͷ֓ཁ
    /FVSBM
    1%&
    4PMWFS
    ͷ՝୊ͱղܾํ਑  • ղੳྖҬͷܗঢ়ʹର͢Δ൚༻ੑ - ೚ҙͷܗঢ়ʹద༻Ͱ͖Δ
    ػցֶशϞσϧΛ༻͍Δඞཁ͕͋Δ - ૬ࣅม׵܈ಉมੑ
    
    ಉҰͷ෺ཧݱ৅ΛҟͳΔ࠲ඪܥͰ
    ؍ଌ͢Δͱ૬ࣅม׵Λड͚Δ͕
    ݱ৅ͷຊ࣭͸มԽ͠ͳ͍ • ෺ཧݱ৅ͷੑ࣭ - ہॴอଘੑ
    ۙ๣ͱͷ෺ཧྔͷ
    ΍ΓͱΓ͸อଘ͢Δ • ʮಉมੑɹɹอଘੑʯ
    - /PFUIFS
    ͷఆཧ͸࡞༻ੵ෼ͷఀཹ఺Ͱ
    ੒ཱ͢Δ͕ػցֶशϞσϧͷ༧ଌ͸
    Ұൠʹ࡞༻ۃখΛอূ͠ͳ͍
    ‣ ࣭఺ͷӡಈྔΛθϩʹ͢Δૢ࡞͸
    ฏߦҠಈಉม͕ͩӡಈྔΛอଘ͠ͳ͍
    - -JF
    ܈ಉมੑ͕͋ΔػցֶशϞσϧΛ
    .4&
    ޡࠩؔ਺Ͱֶशͤ͞ϊΠζʹରͯ͠
    ݎ࿚ੑΛຬͨ͢
    
    αϯϓϧΛม਺ͱͨ͠
    &VMFSr-BHSBOHF
    ํఔࣜΛຬͨ͢
    ͱ͖
    อଘଇ͕੒ཱ͢Δ[Dehmamy+, NeurIPS, 2021]
26. ݚڀͷ֓ཁ
    /FVSBM
    1%&
    4PMWFS
    ͷ՝୊ͱղܾํ਑  • ղੳྖҬͷܗঢ়ʹର͢Δ൚༻ੑ - ೚ҙͷܗঢ়ʹద༻Ͱ͖Δ
    ػցֶशϞσϧΛ༻͍Δඞཁ͕͋Δ • (SBQI
    OFVSBM
    OFUXPSL
    (//
    Λ࢖͏ .FTTBHF
    ؔ਺ 6QEBUF
    ؔ਺ ࣮ݱํ๏ - ૬ࣅม׵܈ಉมੑ
    
    ಉҰͷ෺ཧݱ৅ΛҟͳΔ࠲ඪܥͰ
    ؍ଌ͢Δͱ૬ࣅม׵Λड͚Δ͕
    ݱ৅ͷຊ࣭͸มԽ͠ͳ͍ • ෺ཧݱ৅ͷੑ࣭ - ہॴอଘੑ
    ۙ๣ͱͷ෺ཧྔͷ
    ΍ΓͱΓ͸อଘ͢Δ • อଘੑɾಉมੑͷ͋ΔϞσϧΛ࢖͏
27.  ݚڀͷ֓ཁ
    طଘख๏ͱͷൺֱ • 1*//
    1IZTJDT*OGPSNFE
    /FVSBM
    /FUXPSL [Raissi et al. 2019]
    ͸
    MPTT
    ؔ਺ʹํఔࣜͷ৘ใΛՃ͑෺ཧݱ৅ͷੑ࣭Λߟྀ Raissi et al. 2019 Karniadakis et al. 2021 ࣌ࠁ ۭؒ
28.  • 1*//
    ͸ۭؒͷ֎ૠʹ՝୊͕͋Δ[Bonfanti et al. 2023] ۭؒͷ಺ૠ ۭؒͷ֎ૠ Bonfanti et al. 2023 ༧ଌ ࢀরղ Raissi et al. 2019 Karniadakis et al. 2021 ࣌ࠁ ۭؒ • 1*//
    1IZTJDT*OGPSNFE
    /FVSBM
    /FUXPSL [Raissi et al. 2019]
    ͸
    MPTT
    ؔ਺ʹํఔࣜͷ৘ใΛՃ͑෺ཧݱ৅ͷੑ࣭Λߟྀ ݚڀͷ֓ཁ
    طଘख๏ͱͷൺֱ
29.  - 1*//
    ͸ۭؒ࠲ඪ
    x
    ΍࣌ࠁ
    t ͷઈରతͳ஋Λ௚઀ͷೖྗͱͯ͠ղͦͷ΋ͷΛֶश͢ΔͨΊ
    - 1*//
    ͸ʮιϑτͳʯ੍໿ͷΈΛ࣋ͭͨΊະ஌ͷೖྗʹର͢Δ৴པੑ͕อূ͠ʹ͍͘ ۭؒͷ಺ૠ ۭؒͷ֎ૠ Bonfanti et al. 2023 ༧ଌ ࢀরղ Raissi et al. 2019 Karniadakis et al. 2021 ࣌ࠁ ۭؒ • 1*//
    ͸ۭؒͷ֎ૠʹ՝୊͕͋Δ[Bonfanti et al. 2023] • 1*//
    1IZTJDT*OGPSNFE
    /FVSBM
    /FUXPSL [Raissi et al. 2019]
    ͸
    MPTT
    ؔ਺ʹํఔࣜͷ৘ใΛՃ͑෺ཧݱ৅ͷੑ࣭Λߟྀ ݚڀͷ֓ཁ
    طଘख๏ͱͷൺֱ
30. • 1*//
    ͸ۭؒͷ֎ૠʹ՝୊͕͋Δ[Bonfanti et al. 2023]  ࢀরղ ༧ଌ Թ౓ ֶशσʔλ • ػցֶशϞσϧʹ෺ཧݱ৅༝དྷͷʮϋʔυͳʯ੍໿
    ରশੑΛݫີʹຬͨ͢ఆࣜԽ
    Λ
    ಋೖ͢Δͱ೤ղੳʹ͓͍ͯ͸ۭؒͷ֎ૠੑೳ͕޲্͢Δ[Horie et al. ICLR 2021] - 1*//
    ͸ۭؒ࠲ඪ
    x
    ΍࣌ࠁ
    t ͷઈରతͳ஋Λ௚઀ͷೖྗͱͯ͠ղͦͷ΋ͷΛֶश͢ΔͨΊ
    - 1*//
    ͸ʮιϑτͳʯ੍໿ͷΈΛ࣋ͭͨΊະ஌ͷೖྗʹର͢Δ৴པੑ͕อূ͠ʹ͍͘ ۭؒͷ಺ૠ ۭؒͷ֎ૠ Bonfanti et al. 2023 ༧ଌ ࢀরղ ۭؒͷ֎ૠ ݚڀͷ֓ཁ
    طଘख๏ͱͷൺֱ
31.  ۭؒͷ಺ૠ ۭؒͷ֎ૠ Bonfanti et al. 2023 ༧ଌ ࢀরղ • 'MVY(//
    อଘੑΛରশੑΛ୲อ͢Δ͜ͱͰۭؒํ޲ͷ֎ૠ͕࣮ݱ[Horie & Mitsume. ICML. 2024] - ͔͠͠ෳࡶͳྲྀମݱ৅ʹରͯ͠͸ۭؒͷ֎ૠੑೳ͕୲อͰ͖͍ͯͳ͔ͬͨ ࢀরղ ༧ଌ Թ౓ ֶशσʔλ ۭؒͷ֎ૠ • ػցֶशϞσϧʹ෺ཧݱ৅༝དྷͷʮϋʔυͳʯ੍໿
    ରশੑΛݫີʹຬͨ͢ఆࣜԽ
    Λ
    ಋೖ͢Δͱ೤ղੳʹ͓͍ͯ͸ۭؒͷ֎ૠੑೳ͕޲্͢Δ[Horie et al. ICLR 2021] ݚڀͷ֓ཁ
    طଘख๏ͱͷൺֱ
32. • ہॴอଘੑɺ૬ࣅม׵ରশੑΛݫີʹຬͨ͢ػցֶशϞσϧ͕࣮ݱ[Horie & Mitsume. ICML. 2024]  ݚڀͷ֓ཁ
    ·ͱΊ ࿨෼ /VNFSJDBM
    GMVY
    ʹରԠ͢Δ
    // ࣌ࠁ
    U ࣌ࠁ
    U
    
    ϶U • ہॴอଘੑ
    ༗ݶମੵ๏Λಋೖ
33.  ݚڀͷ֓ཁ
    ·ͱΊ ࿨෼ /VNFSJDBM
    GMVY
    ʹରԠ͢Δ
    // ࣌ࠁ
    U ࣌ࠁ
    U
    
    ϶U • ہॴอଘੑ
    ༗ݶମੵ๏Λಋೖ • ૬ࣅม׵ରশੑ
    ཭ࢄԽεέʔϧΛಋೖ <latexit sha1_base64="f69CgSP6DjgH/TDaBunZ3wxr8as=">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</latexit> ' • ہॴอଘੑɺ૬ࣅม׵ରশੑΛݫີʹຬͨ͢ػցֶशϞσϧ͕࣮ݱ[Horie & Mitsume. ICML. 2024]
34.  ݚڀͷ֓ཁ
    ·ͱΊ • ہॴอଘੑ
    ༗ݶମੵ๏Λಋೖ ࿨෼ /VNFSJDBM
    GMVY
    ʹରԠ͢Δ
    // ࣌ࠁ
    U ࣌ࠁ
    U
    
    ϶U • ૬ࣅม׵ରশੑ
    ཭ࢄԽεέʔϧΛಋೖ • ਺஋࣮ݧ
    ۭؒͷ֎ૠ <latexit 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/+ingS47PFgwd9gOh4sbaB6t9t50bvrX+Ivv8S9L3PW8nJpA3byimhlKIHe5smk9FP1QGo6z0ssUIX/KLxngx9ePVNv7+i/FZll5i1UUeD+C/322LMRJAlrYx+IPve2MQFiyGfqv0eMd0jVW2yqCjZOWWv1Cmk+i3TO1EVxLGFduxe5F+ag3M3j+7iAMPY3Oq8g52WaqIf3i3rww8tFD5lnoLjNPk7Odb9XfVyhmKKH0VoY/DCKs4l87IZO4as/hMBdHvoqWC4Bz1rhR+DFmZflTUEv4WHD25nmQi1PrgrAYOrt4mffDH4jvHGe32+sOo9zzgp1Oufl71DjZaQHgL9H6+rqaw3VOWka4lW/S61WbKb/f6LFFQrqSr3hl4Ac+WOMsySfj0vw7z9+s7bZ/TOl5YubVxubv994ff792h+2mz9h+sXKP6/8y8q3K5sr/7byh5XDleHK9Uqw8mnlf1b+d+X/Xq+9Pno9fH1hmv70J02ff1pxfl6//xPZHrS4</latexit> ' • ہॴอଘੑɺ૬ࣅม׵ରশੑΛݫີʹຬͨ͢ػցֶशϞσϧ͕࣮ݱ[Horie & Mitsume. ICML. 2024]
35. ໨࣍ • ݚڀͷ֓ཁ  ࿨෼ /VNFSJDBM
    GMVY
    ʹରԠ͢Δ
    // ࣌ࠁ
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    ϶U • ख๏
    - ہॴอଘੑ
    ༗ݶମੵ๏Λಋೖ
    - ૬ࣅม׵ରশੑ
    ཭ࢄԽεέʔϧΛಋೖ • ਺஋࣮ݧ
    ۭ࣌ؒͷ֎ૠ • ·ͱΊ <latexit 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</latexit> '
36. ໨࣍ • ݚڀͷ֓ཁ  ࿨෼ /VNFSJDBM
    GMVY
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    ϶U <latexit 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</latexit> ' • ख๏
    - ہॴอଘੑ
    ༗ݶମੵ๏Λಋೖ
    - ૬ࣅม׵ରশੑ
    ཭ࢄԽεέʔϧΛಋೖ • ਺஋࣮ݧ
    ۭ࣌ؒͷ֎ૠ • ·ͱΊ
37. ہॴอଘੑ
    ༗ݶମੵ๏
    '7.
    ΛػցֶशϞσϧԽ  <latexit 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</latexit> @ @t Z VP dV u = I @VP dSn · F (u) อଘܗࣜ • '7.
    ͸อଘܗࣜ
    Ҡྲྀ֦ࢄ΍
    /4
    ํఔࣜͷҰൠԽ
    Λ཭ࢄԽ͢Δ͜ͱʹΑΓಘΒΕΔ
38. ہॴอଘੑ
    ༗ݶମੵ๏
    '7.
    ΛػցֶशϞσϧԽ  <latexit 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</latexit> 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    ํఔࣜͷ৔߹ • '7.
    ͸อଘܗࣜ
    Ҡྲྀ֦ࢄ΍
    /4
    ํఔࣜͷҰൠԽ
    Λ཭ࢄԽ͢Δ͜ͱʹΑΓಘΒΕΔ
39. ہॴอଘੑ
    ༗ݶମੵ๏
    '7.
    ΛػցֶशϞσϧԽ  <latexit 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</latexit> 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    i
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40. ہॴอଘੑ
    ༗ݶମੵ๏
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    ΛػցֶशϞσϧԽ  <latexit sha1_base64="0GUpCmTdZxWL5yxai3Hk9Ia+V2Y=">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</latexit> @ @t Z VP dV u = I @VP dSn · F (u) อଘܗࣜ ηϧ
    i
    ͱηϧ
    j
    Λ
    ִͯΔ໘
    (i, j)
    ͷ໘ੵ ໘
    (i, j)
    = (j, i)
    ͷΈʹண໨ ηϧɾ໘த৺ͷ஋Ͱ୅දͤͯ͞཭ࢄԽ • '7.
    ͸อଘܗࣜ
    Ҡྲྀ֦ࢄ΍
    /4
    ํఔࣜͷҰൠԽ
    Λ཭ࢄԽ͢Δ͜ͱʹΑΓಘΒΕΔ
41. ہॴอଘੑ
    ༗ݶମੵ๏
    '7.
    ΛػցֶशϞσϧԽ  ηϧ
    i
    ͱηϧ
    j
    Λ
    ִͯΔ໘
    (i, j)
    ͷ໘ੵ ໘
    (i, j)
    = (j, i)
    ͷΈʹண໨ • '7.
    ͸อଘܗࣜ
    Ҡྲྀ֦ࢄ΍
    /4
    ํఔࣜͷҰൠԽ
    Λ཭ࢄԽ͢Δ͜ͱʹΑΓಘΒΕΔ
42. ہॴอଘੑ
    ༗ݶମੵ๏
    '7.
    ΛػցֶशϞσϧԽ  ˠ
    ໘
    (i, j)
    Λ௨ͨ͠෺ཧྔͷ΍ΓऔΓ͸อଘ͞ΕΔ 
    ہॴอଘੑ ηϧ
    i
    ͱηϧ
    j
    Λ
    ִͯΔ໘
    (i, j)
    ͷ໘ੵ ໘
    (i, j)
    = (j, i)
    ͷΈʹண໨ • '7.
    ͸อଘܗࣜ
    Ҡྲྀ֦ࢄ΍
    /4
    ํఔࣜͷҰൠԽ
    Λ཭ࢄԽ͢Δ͜ͱʹΑΓಘΒΕΔ
43. ہॴอଘੑ
    ༗ݶମੵ๏
    '7.
    ΛػցֶशϞσϧԽ  /VNFSJDBM
    GMVY
    F
    ΛػցֶशϞσϧԽ ηϧ
    i
    ͱηϧ
    j
    Λ
    ִͯΔ໘
    (i, j)
    ͷ໘ੵ • '7.
    ͸อଘܗࣜ
    Ҡྲྀ֦ࢄ΍
    /4
    ํఔࣜͷҰൠԽ
    Λ཭ࢄԽ͢Δ͜ͱʹΑΓಘΒΕΔ
44. ہॴอଘੑ
    ༗ݶମੵ๏
    '7.
    ΛػցֶशϞσϧԽ  /VNFSJDBM
    GMVY
    F
    ΛػցֶशϞσϧԽ ηϧ
    i
    ͱηϧ
    j
    Λ
    ִͯΔ໘
    (i, j)
    ͷ໘ੵ ֶशՄೳύϥϝʔλΛ࣋ͭؔ਺ • '7.
    ͸อଘܗࣜ
    Ҡྲྀ֦ࢄ΍
    /4
    ํఔࣜͷҰൠԽ
    Λ཭ࢄԽ͢Δ͜ͱʹΑΓಘΒΕΔ
45. ہॴอଘੑ
    ༗ݶମੵ๏
    '7.
    ΛػցֶशϞσϧԽ  /VNFSJDBM
    GMVY
    F
    ΛػցֶशϞσϧԽ ͕ඞཁ • ہॴอଘੑɹɹɹɹɹɹɹɹɹΛຬͨ͢ʹ͸ ηϧ
    i
    ͱηϧ
    j
    Λ
    ִͯΔ໘
    (i, j)
    ͷ໘ੵ ֶशՄೳύϥϝʔλΛ࣋ͭؔ਺ • '7.
    ͸อଘܗࣜ
    Ҡྲྀ֦ࢄ΍
    /4
    ํఔࣜͷҰൠԽ
    Λ཭ࢄԽ͢Δ͜ͱʹΑΓಘΒΕΔ
46. ہॴอଘੑ
    ༗ݶମੵ๏
    '7.
    ΛػցֶशϞσϧԽ  /VNFSJDBM
    GMVY
    F
    ΛػցֶशϞσϧԽ ͕ඞཁ • ہॴอଘੑɹɹɹɹɹɹɹɹɹΛຬͨ͢ʹ͸ • ஔ׵ෆมͳػցֶशϞσϧͷඞཁे෼৚݅Ͱ͋Δ
    %FFQ
    4FU[Zaheer+ 2017]
    Λ࢖༻ ηϧ
    i
    ͱηϧ
    j
    Λ
    ִͯΔ໘
    (i, j)
    ͷ໘ੵ ֶशՄೳύϥϝʔλΛ࣋ͭؔ਺ • '7.
    ͸อଘܗࣜ
    Ҡྲྀ֦ࢄ΍
    /4
    ํఔࣜͷҰൠԽ
    Λ཭ࢄԽ͢Δ͜ͱʹΑΓಘΒΕΔ
47. ہॴอଘੑ
    ༗ݶମੵ๏
    '7.
    ΛػցֶशϞσϧԽ  /VNFSJDBM
    GMVY
    F
    ΛػցֶशϞσϧԽ • ఏҊख๏͸ඍ෼ɾิؒεΩʔϜͷ
    ඇઢܗҰൠԽͱΈͳͤΔ ηϧ
    i
    ͱηϧ
    j
    Λ
    ִͯΔ໘
    (i, j)
    ͷ໘ੵ ֶशՄೳύϥϝʔλΛ࣋ͭؔ਺ • '7.
    ͸อଘܗࣜ
    Ҡྲྀ֦ࢄ΍
    /4
    ํఔࣜͷҰൠԽ
    Λ཭ࢄԽ͢Δ͜ͱʹΑΓಘΒΕΔ - $G
    (PEVOPW
    ͷఆཧ
    ʮઢܗͳ୯ௐεΩʔϜ͸ߴʑ
    
    ࣍ਫ਼౓ʯ
48. ہॴอଘੑ
    άϥϑχϡʔϥϧωοτϫʔΫͱͷྨࣅੑ  ࣌ࠁ
    U ࣌ࠁ
    U
    
    ϶U (// • άϥϑχϡʔϥϧωοτϫʔΫ
    (//
    ͸೚ҙͷάϥϑ
    ϝογϡ
    ʹద༻Մೳ
49. ہॴอଘੑ
    άϥϑχϡʔϥϧωοτϫʔΫͱͷྨࣅੑ  ࣌ࠁ
    U ࣌ࠁ
    U
    
    ϶U &ODPEFS (// 
    ߴ࣍ݩԽ͞Εͨ෺ཧྔ • άϥϑχϡʔϥϧωοτϫʔΫ
    (//
    ͸೚ҙͷάϥϑ
    ϝογϡ
    ʹద༻Մೳ
50. ہॴอଘੑ
    άϥϑχϡʔϥϧωοτϫʔΫͱͷྨࣅੑ  ࣌ࠁ
    U ࣌ࠁ
    U
    
    ϶U &ODPEFS .FTTBHF
    ؔ਺ 6QEBUF
    ؔ਺ (// 
    ߴ࣍ݩԽ͞Εͨ෺ཧྔ • άϥϑχϡʔϥϧωοτϫʔΫ
    (//
    ͸೚ҙͷάϥϑ
    ϝογϡ
    ʹద༻Մೳ
51. ہॴอଘੑ
    άϥϑχϡʔϥϧωοτϫʔΫͱͷྨࣅੑ  ࣌ࠁ
    U ࣌ࠁ
    U
    
    ϶U &ODPEFS .FTTBHF
    ؔ਺ 6QEBUF
    ؔ਺ (// %FDPEFS 
    ߴ࣍ݩԽ͞Εͨ෺ཧྔ • άϥϑχϡʔϥϧωοτϫʔΫ
    (//
    ͸೚ҙͷάϥϑ
    ϝογϡ
    ʹద༻Մೳ
52. ہॴอଘੑ
    άϥϑχϡʔϥϧωοτϫʔΫͱͷྨࣅੑ  ࣌ࠁ
    U ࣌ࠁ
    U
    
    ϶U &ODPEFS .FTTBHF
    ؔ਺ 6QEBUF
    ؔ਺ (// %FDPEFS • άϥϑχϡʔϥϧωοτϫʔΫ
    (//
    ͸೚ҙͷάϥϑ
    ϝογϡ
    ʹద༻Մೳ
53. ہॴอଘੑ
    άϥϑχϡʔϥϧωοτϫʔΫͱͷྨࣅੑ  ࣌ࠁ
    U ࣌ࠁ
    U
    
    ϶U &ODPEFS .FTTBHF
    ؔ਺ 6QEBUF
    ؔ਺ (// %FDPEFS • άϥϑχϡʔϥϧωοτϫʔΫ
    (//
    ͸೚ҙͷάϥϑ
    ϝογϡ
    ʹద༻Մೳ
54. ہॴอଘੑ
    άϥϑχϡʔϥϧωοτϫʔΫͱͷྨࣅੑ  ࣌ࠁ
    U ࣌ࠁ
    U
    
    ϶U &ODPEFS .FTTBHF
    ؔ਺ 6QEBUF
    ؔ਺ (// %FDPEFS ఏҊ ख๏ • άϥϑχϡʔϥϧωοτϫʔΫ
    (//
    ͸೚ҙͷάϥϑ
    ϝογϡ
    ʹద༻Մೳ • ఏҊख๏͸
    (//
    ͷಛघͳྫͰ͋ΔͨΊɺ೚ҙͷϝογϡʹద༻Մೳ
55. ہॴอଘੑ
    άϥϑχϡʔϥϧωοτϫʔΫͱͷྨࣅੑ  ࣌ࠁ
    U ࣌ࠁ
    U
    
    ϶U &ODPEFS .FTTBHF
    ؔ਺ 6QEBUF
    ؔ਺ (// %FDPEFS ఏҊ ख๏ • άϥϑχϡʔϥϧωοτϫʔΫ
    (//
    ͸೚ҙͷάϥϑ
    ϝογϡ
    ʹద༻Մೳ • ఏҊख๏͸
    (//
    ͷಛघͳྫͰ͋ΔͨΊɺ೚ҙͷϝογϡʹద༻Մೳ
56. ہॴอଘੑ
    άϥϑχϡʔϥϧωοτϫʔΫͱͷྨࣅੑ  ࣌ࠁ
    U ࣌ࠁ
    U
    
    ϶U &ODPEFS .FTTBHF
    ؔ਺ 6QEBUF
    ؔ਺ (// %FDPEFS • ہॴอଘੑͷͨΊͷΤϯίʔμɾσίʔμɾVQEBUF
    ؔ਺ʹ͍ͭͯͷ੍໿Λ਺ֶతʹಋग़ ఏҊ ख๏ ઢܗ
    FODPEFS ઢܗ
    ߃౳
    VQEBUF
    ؔ਺ &ODPEFS
    ͷ
    ࠨٯࣸ૾ • άϥϑχϡʔϥϧωοτϫʔΫ
    (//
    ͸೚ҙͷάϥϑ
    ϝογϡ
    ʹద༻Մೳ • ఏҊख๏͸
    (//
    ͷಛघͳྫͰ͋ΔͨΊɺ೚ҙͷϝογϡʹద༻Մೳ
57. ہॴอଘੑ
    άϥϑχϡʔϥϧωοτϫʔΫͱͷྨࣅੑ  ఏҊ ख๏ ఆٛ
    (//
    NFTTBHFQBTTJOH
    OFVSBM
    OFUXPSL
    [Gilmer et al. ICML. 2017] .FTTBHF
    ؔ਺ ઢܗ
    ߃౳
    VQEBUF
    ؔ਺ &ODPEFS
    ͷ
    ࠨٯࣸ૾ ઢܗ
    FODPEFS
58. ఆཧ
    (//
    ͷอଘੑ[Horie & Mitsume. ICML. 2024] (//
    ͕อଘతͱͳΔඞཁे෼৚݅͸ҎԼ ɾɹɹɹɹɹɹɹɹɹɹɹɹɹɹɹ͔ͭ
    ɾ6QEBUF
    ؔ਺͕߃౳ࣸ૾͔ͭ
    ɾ&ODPEFS
    ͕ઢܗ͔ͭ
    ɾ%FDPEFS
    ͕
    FODPEFS
    ͷࠨٯࣸ૾ ہॴอଘੑ
    άϥϑχϡʔϥϧωοτϫʔΫͱͷྨࣅੑ  ఏҊ ख๏ ఆٛ
    (//
    NFTTBHFQBTTJOH
    OFVSBM
    OFUXPSL
    [Gilmer et al. ICML. 2017] .FTTBHF
    ؔ਺ ઢܗ
    ߃౳
    VQEBUF
    ؔ਺ &ODPEFS
    ͷ
    ࠨٯࣸ૾ ઢܗ
    FODPEFS
59. ہॴอଘੑ
    άϥϑχϡʔϥϧωοτϫʔΫͱͷྨࣅੑ  ఏҊ ख๏ .FTTBHF
    ؔ਺ ઢܗ
    ߃౳
    VQEBUF
    ؔ਺ &ODPEFS
    ͷ
    ࠨٯࣸ૾ ઢܗ
    FODPEFS • ఏҊख๏Ͱ͸ଞͷ
    (//
    ϕʔεͷख๏ͱಉ༷
    ೖྗ෺ཧྔΛߴ࣍ݩԽ͠ॲཧ͢Δ - ߴ࣍ݩԽ͢Δ͜ͱʹΑΓػցֶशϞσϧͷ
    දݱྗ͕ߴ·Δ
    DG
    VOJWFSTBM
    BQQSPYJNBUJPO
    - ߴ࣍ͷجఈͰ෺ཧྔΛల։͍ͯ͠Δ͜ͱʹରԠ ௿࣍ݩۭؒ
    ೖྗ 
    ߴ࣍ݩԽ͞Εͨ෺ཧྔ
60. ہॴอଘੑ
    άϥϑχϡʔϥϧωοτϫʔΫͱͷྨࣅੑ  ఏҊ ख๏ .FTTBHF
    ؔ਺ ઢܗ
    ߃౳
    VQEBUF
    ؔ਺ &ODPEFS
    ͷ
    ࠨٯࣸ૾ ઢܗ
    FODPEFS • ఏҊख๏Ͱ͸ଞͷ
    (//
    ϕʔεͷख๏ͱಉ༷
    ೖྗ෺ཧྔΛߴ࣍ݩԽ͠ॲཧ͢Δ - ߴ࣍ݩԽ͢Δ͜ͱʹΑΓػցֶशϞσϧͷ
    දݱྗ͕ߴ·Δ
    DG
    VOJWFSTBM
    BQQSPYJNBUJPO
    - ߴ࣍ͷجఈͰ෺ཧྔΛల։͍ͯ͠Δ͜ͱʹରԠ ௿࣍ݩۭؒ
    ೖྗ ߴ࣍ݩԽ ߴ࣍ݩۭؒ 
    ߴ࣍ݩԽ͞Εͨ෺ཧྔ
61. ໨࣍ • ݚڀͷ֓ཁ  ࿨෼ /VNFSJDBM
    GMVY
    ʹରԠ͢Δ
    // ࣌ࠁ
    U ࣌ࠁ
    U
    
    ϶U <latexit sha1_base64="f69CgSP6DjgH/TDaBunZ3wxr8as=">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</latexit> ' • ख๏
    - ہॴอଘੑ
    ༗ݶମੵ๏Λಋೖ
    - ૬ࣅม׵ରশੑ
    ཭ࢄԽεέʔϧΛಋೖ • ਺஋࣮ݧ
    ۭ࣌ؒͷ֎ૠ • ·ͱΊ
62. ໨࣍ • ݚڀͷ֓ཁ  ࿨෼ /VNFSJDBM
    GMVY
    ʹରԠ͢Δ
    // ࣌ࠁ
    U ࣌ࠁ
    U
    
    ϶U <latexit 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</latexit> ' • ख๏
    - ہॴอଘੑ
    ༗ݶମੵ๏Λಋೖ
    - ૬ࣅม׵ରশੑ
    ཭ࢄԽεέʔϧΛಋೖ • ਺஋࣮ݧ
    ۭ࣌ؒͷ֎ૠ • ·ͱΊ
63. ૬ࣅม׵ରশੑ
    Ϟνϕʔγϣϯ  <latexit 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</latexit> ' ෺ཧతʹಉ͡ • ෺ཧݱ৅ʹ͸૬ࣅม׵
    ฏߦҠಈɾճసɾڸөɾ֦େॖখ
    ͷରশੑ͕͋Δ
    DG
    3FZOPMET
    ૬ࣅଇɺ୯Ґܥͷม׵
64. ૬ࣅม׵ରশੑ
    Ϟνϕʔγϣϯ  <latexit 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</latexit> ' • ௨ৗͷػցֶशϞσϧͰ͸૬ࣅม׵ͷ΋ͱͰ෺ཧྔ͕֎ૠʹͳΓਫ਼౓͕௿Լ͢Δ ෺ཧతʹಉ͡ • ෺ཧݱ৅ʹ͸૬ࣅม׵
    ฏߦҠಈɾճసɾڸөɾ֦େॖখ
    ͷରশੑ͕͋Δ
    DG
    3FZOPMET
    ૬ࣅଇɺ୯Ґܥͷม׵
65. ૬ࣅม׵ରশੑ
    Ϟνϕʔγϣϯ • ෺ཧݱ৅ʹ͸૬ࣅม׵
    ฏߦҠಈɾճసɾڸөɾ֦େॖখ
    ͷରশੑ͕͋Δ
    DG
    3FZOPMET
    ૬ࣅଇɺ୯Ґܥͷม׵  <latexit sha1_base64="f69CgSP6DjgH/TDaBunZ3wxr8as=">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</latexit> ' • ௨ৗͷػցֶशϞσϧͰ͸૬ࣅม׵ͷ΋ͱͰ෺ཧྔ͕֎ૠʹͳΓਫ਼౓͕௿Լ͢Δ ෺ཧతʹಉ͡ ˠ
    ૬ࣅม׵ͷରশੑΛػցֶशϞσϧʹಋೖ͢Δඞཁ͕͋Δ
66. ૬ࣅม׵ରশੑ
    ख๏
    
    ۭ࣌ؒ཭ࢄԽεέʔϧΛಋೖ  ఏҊख๏ • ఏҊख๏Ͱඇઢܗ
    //
    Λ༻͍Δͷ͸
    FML
    ͷΈͳͷͰͦΕ͚ͩΛߟ͑Ε͹े෼
67. ૬ࣅม׵ରশੑ
    ख๏
    
    ۭ࣌ؒ཭ࢄԽεέʔϧΛಋೖ  • //
    ʹೖྗ͢Δ෺ཧྔ͸ϊϧϜΛͱΓۭ࣌ؒ཭ࢄԽεέʔϧͰہॴతʹن֨Խ ఏҊख๏ • ఏҊख๏Ͱඇઢܗ
    //
    Λ༻͍Δͷ͸
    FML
    ͷΈͳͷͰͦΕ͚ͩΛߟ͑Ε͹े෼ ྲྀ଎
68. ૬ࣅม׵ରশੑ
    ख๏
    
    ۭ࣌ؒ཭ࢄԽεέʔϧΛಋೖ  • //
    ʹೖྗ͢Δ෺ཧྔ͸ϊϧϜΛͱΓۭ࣌ؒ཭ࢄԽεέʔϧͰہॴతʹن֨Խ ఏҊख๏ • ఏҊख๏Ͱඇઢܗ
    //
    Λ༻͍Δͷ͸
    FML
    ͷΈͳͷͰͦΕ͚ͩΛߟ͑Ε͹े෼ ૬ࣅม׵ʹରͯ͠ෆม ૬ࣅม׵ʹରͯ͠ಉม
    ςϯιϧͷ࠲ඪม׵ଇΛຬͨ͢ ྲྀ଎
69. ૬ࣅม׵ରশੑ
    ख๏
    
    ۭ࣌ؒ཭ࢄԽεέʔϧΛಋೖ  • //
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    //
    Λ༻͍Δͷ͸
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    ͷΈͳͷͰͦΕ͚ͩΛߟ͑Ε͹े෼ ͜ͷΑ͏ͳϞσϧ͸
    O(n)ಉมࣸ૾શମʹ
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    ςϯιϧͷ࠲ඪม׵ଇΛຬͨ͢
70. ૬ࣅม׵ରশੑ
    ख๏
    
    ۭ࣌ؒ཭ࢄԽεέʔϧΛಋೖ  • //
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    ΁ͷ௚઀ͷೖྗ͸
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    FML
    ͸
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    Λܭࢉ͢Δࡍͷ҆ఆԽख๏Λֶश͍ͯ͠ΔͱղऍͰ͖Δ ఏҊख๏ • ఏҊख๏Ͱඇઢܗ
    //
    Λ༻͍Δͷ͸
    FML
    ͷΈͳͷͰͦΕ͚ͩΛߟ͑Ε͹े෼ ͜ͷΑ͏ͳϞσϧ͸
    O(n)ಉมࣸ૾શମʹ
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    DG
    Huang+ ICLR 2022 ྲྀ଎ $PVSBOU
    ਺ ૬ࣅม׵ʹରͯ͠ෆม ૬ࣅม׵ʹରͯ͠ಉม
    ςϯιϧͷ࠲ඪม׵ଇΛຬͨ͢
71. ໨࣍ • ݚڀͷ֓ཁ  ࿨෼ /VNFSJDBM
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    U
    
    ϶U <latexit 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</latexit> 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    - ہॴอଘੑ
    ༗ݶମੵ๏Λಋೖ
    - ૬ࣅม׵ରশੑ
    ཭ࢄԽεέʔϧΛಋೖ • ਺஋࣮ݧ
    ۭ࣌ؒͷ֎ૠ • ·ͱΊ
72. ໨࣍ • ݚڀͷ֓ཁ  ࿨෼ /VNFSJDBM
    GMVY
    ʹରԠ͢Δ
    // ࣌ࠁ
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    ϶U <latexit 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</latexit> ' • ख๏
    - ہॴอଘੑ
    ༗ݶମੵ๏Λಋೖ
    - ૬ࣅม׵ରশੑ
    ཭ࢄԽεέʔϧΛಋೖ • ਺஋࣮ݧ
    ۭ࣌ؒͷ֎ૠ • ·ͱΊ
73. ਺஋࣮ݧ
    ໰୊ઃఆ  <latexit 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</latexit> prgh = p ⇢g · x <latexit 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</latexit> @ @t (⇢u) = r · ⇥ ⇢u ⌦ u + p⇢gh µ r ⌦ u + (r ⌦ u)> ⇤ + (g · x)r⇢ <latexit sha1_base64="9SdWHa8nNU82DsIkWQcZoE/FO3Q=">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</latexit> ⇢ = ↵⇢low + (1 ↵)⇢high <latexit sha1_base64="KqFZV0zbnWFJebFRVAf2JlrKhGo=">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</latexit> @ @t ↵ = r · (u↵ Dr↵) ਖ਼ղσʔλͷྫ • ࢧ഑ํఔࣜ
    UXPGMVJE
    NJYUVSF
    Ϟσϧɺݽཱܥ
    • ֶशσʔλ
    ৄࡉͳϝογϡɾ0QFO'0".
    Ͱ
    ͞·͟·ͳܗঢ়Ͱ
    
    ࣍ݩղੳΛ͠
    ૈ͍ϝογϡʹϚοϐϯάͨ͠΋ͷ
    • αϯϓϧ਺
    5SBJO
    
    
    ܗঢ় ɺ
    WBMJEBUJPO
    
    
    ܗঢ় ɺUFTU
    
    
    ܗঢ়
74. ਺஋࣮ݧ
    ݁Ռ
    
    ఆੑධՁ  ࢀরղ .11%&[Brandstetter+ 2022] 1&//[Horie & Mitsume 2022] ఏҊख๏[Horie & Mitsume 2024] 5FTU ྲྀ଎
75.  .11%&[Brandstetter+ 2022] 1&//[Horie & Mitsume 2022] ఏҊख๏[Horie & Mitsume 2024] 5FTU 5FTU
    Λ
    ճస ਺஋࣮ݧ
    ݁Ռ
    
    ఆੑධՁ ྲྀ଎ ࢀরղ
76.  .11%&[Brandstetter+ 2022] 1&//[Horie & Mitsume 2022] ఏҊख๏[Horie & Mitsume 2024] 5FTU 5FTU
    Λ
    ճస 5FTU
    Λ
    εέʔϦϯά ਺஋࣮ݧ
    ݁Ռ
    
    ఆੑධՁ ྲྀ଎ 4DBMJOH
    ͷ
    ྲྀ଎ ࢀরղ
77.  .11%&[Brandstetter+ 2022] 1&//[Horie & Mitsume 2022] ఏҊख๏[Horie & Mitsume 2024] 5FTU 5FTU
    Λ
    ճస ྖҬͷ֎ૠ 5FTU
    Λ
    εέʔϦϯά ਺஋࣮ݧ
    ݁Ռ
    
    ఆੑධՁ ྲྀ଎ 4DBMJOH
    ͷ
    ྲྀ଎ ࢀরղ
78.  ਺஋࣮ݧ
    ݁Ռ
    
    ఆྔධՁ • ఏҊख๏͸
    '7.
    ػցֶशͳ͠ͷఏҊख๏
    ͱಉ౳ͷอଘੑΛ࣮ݱ
    • ఏҊख๏͸ྖҬͷ֎ૠʹ͍ͭͯਫ਼౓ͷྼԽ͕ͳ͍
    ˠ
    ߴ͍൚༻ੑ ख๏ σʔληοτ ޡࠩ (×10-1) อଘੑͷޡࠩ (×10-5) FVM (ػցֶशͳ͠ͷఏҊख๏) test 20.034 0.01 MP-PDE[Brandstetter+ 2022] test 1.165 1001.95 PENN[Horie & Mitsume 2022] test 0.525 1356.62 ఏҊख๏[Horie & Mitsume 2024] test 0.898 0.06 FVM (ػցֶशͳ͠ͷఏҊख๏) ྖҬͷ֎ૠ ൃࢄ ൃࢄ MP-PDE[Brandstetter+ 2022] ྖҬͷ֎ૠ 4.557 16770.80 PENN[Horie & Mitsume 2022] ྖҬͷ֎ૠ 1.240 4799.89 ఏҊख๏[Horie & Mitsume 2024] ྖҬͷ֎ૠ 0.829 0.02
79.  ਺஋࣮ݧ
    ݁Ռ
    
    ఆྔධՁ 100 101 102 Computation time [s] 10°1 100 101 102 103 104 Loss FluxGNN (Ours): test PENN: test MP-PDE: test FVM: test FluxGNN (Ours): taller PENN: taller MP-PDE: taller FVM: taller • ͞·͟·ͳઃఆͰੑೳΛଌఆ ޡࠩ $16
    
    ίΞͰͷܭࢉ࣌ؒ
    <T>
80. 100 101 102 Computation time [s] 10°1 100 101 102 103 104 Loss FluxGNN (Ours): test PENN: test MP-PDE: test FVM: test FluxGNN (Ours): taller PENN: taller MP-PDE: taller FVM: taller  ਺஋࣮ݧ
    ݁Ռ
    
    ఆྔධՁ ఏҊख๏ 1&// .11%& • ͞·͟·ͳઃఆͰੑೳΛଌఆ '7.
    ػցֶशͳ͠
    ͷఏҊख๏ ޡࠩ $16
    
    ίΞͰͷܭࢉ࣌ؒ
    <T>
81.  ਺஋࣮ݧ
    ݁Ռ
    
    ఆྔධՁ 100 101 102 Computation time [s] 10°1 100 101 102 103 104 Loss FluxGNN (Ours): test PENN: test MP-PDE: test FVM: test FluxGNN (Ours): taller PENN: taller MP-PDE: taller FVM: taller ఏҊख๏ 1&// .11%& • ͞·͟·ͳઃఆͰੑೳΛଌఆ '7.
    ػցֶशͳ͠
    ͷఏҊख๏ ޡࠩ $16
    
    ίΞͰͷܭࢉ࣌ؒ
    <T>
82. 10°1 100 101 102 Computation time [s] 10°1 100 Loss  ਺஋࣮ݧ
    ݁Ռ
    
    ఆྔධՁ 100 101 102 Computation time [s] 10°1 100 101 102 103 104 Loss FluxGNN (Ours): test PENN: test MP-PDE: test FVM: test FluxGNN (Ours): taller PENN: taller MP-PDE: taller FVM: taller ఏҊख๏ 1&// .11%& ޡࠩ $16
    
    ίΞͰͷܭࢉ࣌ؒ
    <T> ബ͍৭
    UFTU ೱ͍৭
    ྖҬͷ֎ૠ '7.
    ػցֶशͳ͠
    ͷఏҊख๏ • ͞·͟·ͳઃఆͰੑೳΛଌఆ
83. 10°1 100 101 102 Computation time [s] 10°1 100 Loss  ਺஋࣮ݧ
    ݁Ռ
    
    ఆྔධՁ 100 101 102 Computation time [s] 10°1 100 101 102 103 104 Loss FluxGNN (Ours): test PENN: test MP-PDE: test FVM: test FluxGNN (Ours): taller PENN: taller MP-PDE: taller FVM: taller ఏҊख๏ 1&// .11%& ޡࠩ $16
    
    ίΞͰͷܭࢉ࣌ؒ
    <T> • ఏҊख๏͸ྖҬͷ֎ૠʹ͓͍ͯ
    طଘख๏ͷܭࢉ଎౓ɾਫ਼౓ͷ
    τϨʔυΦϑΛେ෯ʹվળ ബ͍৭
    UFTU ೱ͍৭
    ྖҬͷ֎ૠ '7.
    ػցֶशͳ͠
    ͷఏҊख๏ • ͞·͟·ͳઃఆͰੑೳΛଌఆ
84. ໨࣍ • ݚڀͷ֓ཁ  ࿨෼ /VNFSJDBM
    GMVY
    ʹରԠ͢Δ
    // ࣌ࠁ
    U ࣌ࠁ
    U
    
    ϶U <latexit 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</latexit> ' • ख๏
    - ہॴอଘੑ
    ༗ݶମੵ๏Λಋೖ
    - ૬ࣅม׵ରশੑ
    ཭ࢄԽεέʔϧΛಋೖ • ਺஋࣮ݧ
    ۭ࣌ؒͷ֎ૠ • ·ͱΊ
85. ໨࣍ • ݚڀͷ֓ཁ  ࿨෼ /VNFSJDBM
    GMVY
    ʹରԠ͢Δ
    // ࣌ࠁ
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    ϶U <latexit 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</latexit> ' • ख๏
    - ہॴอଘੑ
    ༗ݶମੵ๏Λಋೖ
    - ૬ࣅม׵ରশੑ
    ཭ࢄԽεέʔϧΛಋೖ • ਺஋࣮ݧ
    ۭ࣌ؒͷ֎ૠ • ·ͱΊ
86. ϝοηʔδ
    ෺ཧݱ৅ͷੑ࣭Λຬͨ͢ػցֶशϞσϧ͸ॏཁ • ෺ཧݱ৅ͷੑ࣭
    อଘੑɾରশੑͳͲ
    Λຬͨ͢ػցֶश͸൚Խੑೳ͕ߴ͍
    • ਺஋ղੳख๏Λಋೖ͢Δ͜ͱͰ෺ཧݱ৅ͷੑ࣭Λݫີʹຬͨ͢ػցֶशϞσϧ͕ߏ੒Մೳ
    • อଘੑɾରশੑΛຬͨ͢ػցֶशϞσϧͰۭ࣌ؒ֎ૠ͕ՄೳͰ͋Δ͜ͱΛ࣮ূͨ͠  ࢀরղ ༧ଌ݁Ռ ࢀরղ .11%& 1&// ఏҊख๏ ಺ૠ ۭؒͷ
    ֎ૠ [Brandstetter et al. 2022] [Horie & Mitsume 2022] [Horie & Mitsume 2024] ྲྀ଎ ମੵ෼཰
87.  ·ͱΊ
    কདྷల๬ • কདྷͷల๬
    - ೤ྲྀମɾଟ૬ྲྀͷ࣮໰୊΁ͷద༻ͱੑೳͷධՁ
    - ػցֶशʹΑΔࣗಈඍ෼Մೳͳ༧ଌΛ׆͔ͨ͠ܗঢ়ɾ෺ੑ஋ͳͲͷ࠷దԽ
    - ࣮ݧɾ࣮ଌσʔλͷֶशʹΑΔطଘͷγϛϡϨʔγϣϯΛ্ճΔਫ਼౓ͷ࣮ݱ ࢀরղ ༧ଌ ώʔτγϯΫ
    ίϧήʔτϑΟϯ
    ͷ
    ೤ྲྀମղੳ΁ͷద༻ྫ ѹྗଛࣦ ྲྀ࿏ͷܗঢ়࠷దԽ΁ͷద༻ྫ