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離散凸解析に基づく予測付き離散最適化手法 (IBIS '25)

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November 14, 2025

離散凸解析に基づく予測付き離散最適化手法 (IBIS '25)

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Taihei OKI PRO

November 14, 2025
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  1. /24 ༧ଌ͖ͭΞϧΰϦζϜAlgorithms with Predictions 2 Πϯελϯε ղʢͳͲʣͷ༧ଌ ʢਖ਼͍͠อূແ͠ʣ ղ Ξϧΰ

    ϦζϜ ༧ଌ͕ਖ਼͍͠৔߹ʹɼ༧ଌͷਖ਼͠͞ʹԠͯ͡ੑೳ޲্ͯ͠΄͍͠ ༧ଌ͕ਖ਼͘͠ͳ͍৔߹Ͱ΋ɼ༧ଌͳ͠ΞϧΰϦζϜʹൺ΂ͯ ʢେ͖͘ʣੑೳѱԽ͠ͳ͍Ͱ΄͍͠
  2. /24 ༧ଌ෇͖ΞϧΰϦζϜʹΑΔ཭ࢄ࠷దԽख๏ͷߴ଎Խ 3 ॏΈ͖ͭೋ෦Ϛονϯά໰୊ [Dinitz–Im–Lavastida–Moseley–Vassilivitskii, NeurIPS ’21] [Chen–Silwal–Vakilan–Zhang, ICML ’22]

    ࠷୹࿏໰୊ ࠷େྲྀ໰୊ [Polak–Zub Inf. Proc. Lett. ’24] [Davies–Moseley–Vassilvitskii–Wang, ICML ’23] [Davies–Vassilvitskii– Wang ’24] k-means [Ergun–Feng–Woodruff–Zhou, ICLR ’22] [Feijen–Schäfer ’21] [Chen–Silwal–Vakilan–Zhang, ICML ’22] [Lattanzi–Svensson–Vassilivitskii ICML ’23] ιʔςΟϯά [Bai–Coester NeurIPS ’23] [Sato–Matsui ’24] ཭ࢄತؔ਺࠷খԽ໰୊ [O.–Sakaue, NeurIPS ’23] [Sakaue-O., NeurIPS ’22, ICML ’23] ࠓճͷ࿩ɿੑೳܭࢉ଎౓
  3. /24 ॏΈ෇͖ೋ෦Ϛονϯάʢ࠷ద༌ૹʣ 4 Input: Output: ೋ෦άϥϑɹɹɹɹɹɹɹɼลॏΈɹɹɹɹɹ <latexit sha1_base64="SxIzJn8jCX3tOiXen3UnBIsH0IQ=">AAAB+nicbVDLSgNBEOyNrxhfGz16GQxCvIRdkSiIEBTRg4co5gHJEmYns8mQ2Qczs0pY8ylePCji1S/x5t84SfagiQUNRVU33V1uxJlUlvVtZBYWl5ZXsqu5tfWNzS0zv12XYSwIrZGQh6LpYkk5C2hNMcVpMxIU+y6nDXdwMfYbD1RIFgb3ahhRx8e9gHmMYKWljpm/QmeoeIPaJI7Q3Sm6POiYBatkTYDmiZ2SAqSodsyvdjcksU8DRTiWsmVbkXISLBQjnI5y7VjSCJMB7tGWpgH2qXSSyekjtK+VLvJCoStQaKL+nkiwL+XQd3Wnj1Vfznpj8T+vFSvvxElYEMWKBmS6yIs5UiEa54C6TFCi+FATTATTtyLSxwITpdPK6RDs2ZfnSf2wZJdL5dujQuU8jSMLu7AHRbDhGCpwDVWoAYFHeIZXeDOejBfj3fiYtmaMdGYH/sD4/AF/4JGX</latexit> G =

    (L → R; E) <latexit sha1_base64="DZtY+zOsgzkzNL/eT5/aKQD0LsA=">AAAB+3icbVDLSgMxFL1TX7W+xrp0EyyCqzIjUl0WRHFZwT6wHUsmzbShmcyQZNQyDPglblwo4tYfceffmD4W2nrgwuGce8nJ8WPOlHacbyu3tLyyupZfL2xsbm3v2LvFhooSSWidRDySLR8rypmgdc00p61YUhz6nDb94fnYb95TqVgkbvQopl6I+4IFjGBtpK5dfEAdJlAnxHrg++ltdnfRtUtO2ZkALRJ3RkowQ61rf3V6EUlCKjThWKm268TaS7HUjHCaFTqJojEmQ9ynbUMFDqny0kn2DB0apYeCSJoRGk3U3xcpDpUahb7ZHGdU895Y/M9rJzo481Im4kRTQaYPBQlHOkLjIlCPSUo0HxmCiWQmKyIDLDHRpq6CKcGd//IiaRyX3Uq5cn1Sql4+TevIwz4cwBG4cApVuIIa1IHAIzzDK7xZmfVivVsf09WcNatwD/7A+vwBlwqUlw==</latexit> w → ZE ࠷େॏΈ׬શϚονϯάɹɹɹɹʢࠨӈͷҰରҰରԠʣ <latexit sha1_base64="RQl5rN7pvLVOseex2Y7EjMEOLAs=">AAAB9HicbZBLSwMxFIXv1Fetr6pLN8EiuCozItVlQRQ3QgX7gHYomfS2Dc1kpkmmUIaC/8KNC0Xc+mPc+W9MHwutHgh8nHNDbk4QC66N6345mZXVtfWN7GZua3tndy+/f1DTUaIYVlkkItUIqEbBJVYNNwIbsUIaBgLrweBqmtdHqDSP5IMZx+iHtCd5lzNqrOXfkZZOAo0Gh+S6nS+4RXcm8he8BRRgoUo7/9nqRCwJURomqNZNz42Nn1JlOBM4ybUSjTFlA9rDpkVJQ9R+Olt6Qk6s0yHdSNkjDZm5P2+kNNR6HAZ2MqSmr5ezqflf1kxM99JPuYwTg5LNH+omgpiITBsgHa6QGTG2QJnidlfC+lRRZmxPOVuCt/zlv1A7K3qlYun+vFC+eZzXkYUjOIZT8OACynALFagCgyE8wQu8OiPn2Xlz3uejGWdR4SH8kvPxDSvjkiU=</latexit> M → E 1 3 1 1 2 1 4 3 2 2 ԿΛʮ༧ଌʯ͢Ε͹ߴ଎ʹ໰୊Λղ͘ͷʹ໾ཱ͔ͭʁ A B C D
  4. /24 ॏΈ෇͖ೋ෦Ϛονϯά 5 ࠷େॏΈϚονϯάͦͷ΋ͷΛ༧ଌ 1 3 1 1 2 1

    4 3 2 2 ࠷େॏΈϚονϯά͸͜ΕͰ͠ΐ͏ɻ ༧ଌ͸ඞͣ͠΋ਖ਼͍͠ͱݶΒͳ͍͕ɼ ༧ଌΛॳظղͱͯ͠൓෮ղ๏ʢෛด࿏আڈ๏ʣΛ࣮ߦ͢Ε͹ɼߴ଎ʹऴΘΔ͔΋ʁ A B C D
  5. /24 ෛด࿏আڈ๏ 6 1 3 1 1 2 1 4

    3 2 2 ͙ΔͬͱҰपަ׵͢ΔͱลॏΈ্͕͕Δަޓด࿏Λݕࡧ͠ɺަ׵ ॏΈ A B C D
  6. /24 7 1 3 1 1 2 1 4 3

    2 2 ॏΈ ෛด࿏আڈ๏ ͙ΔͬͱҰपަ׵͢ΔͱลॏΈ্͕͕Δަޓด࿏Λݕࡧ͠ɺަ׵ A B C D
  7. /24 ෛด࿏আڈ๏ 8 1 3 1 1 2 1 4

    3 2 2 ͙ΔͬͱҰपަ׵͢ΔͱลॏΈ্͕͕Δަޓด࿏Λݕࡧ͠ɺަ׵ A B C D
  8. /24 ॏΈ෇͖ೋ෦Ϛονϯάͷ૒ର໰୊ 10 Input: Output: ೋ෦άϥϑɹɹɹɹɹɹɹɼลॏΈɹɹɹɹɹʢ׬Ϛ͋Γʣ <latexit sha1_base64="SxIzJn8jCX3tOiXen3UnBIsH0IQ=">AAAB+nicbVDLSgNBEOyNrxhfGz16GQxCvIRdkSiIEBTRg4co5gHJEmYns8mQ2Qczs0pY8ylePCji1S/x5t84SfagiQUNRVU33V1uxJlUlvVtZBYWl5ZXsqu5tfWNzS0zv12XYSwIrZGQh6LpYkk5C2hNMcVpMxIU+y6nDXdwMfYbD1RIFgb3ahhRx8e9gHmMYKWljpm/QmeoeIPaJI7Q3Sm6POiYBatkTYDmiZ2SAqSodsyvdjcksU8DRTiWsmVbkXISLBQjnI5y7VjSCJMB7tGWpgH2qXSSyekjtK+VLvJCoStQaKL+nkiwL+XQd3Wnj1Vfznpj8T+vFSvvxElYEMWKBmS6yIs5UiEa54C6TFCi+FATTATTtyLSxwITpdPK6RDs2ZfnSf2wZJdL5dujQuU8jSMLu7AHRbDhGCpwDVWoAYFHeIZXeDOejBfj3fiYtmaMdGYH/sD4/AF/4JGX</latexit> G =

    (L → R; E) <latexit sha1_base64="DZtY+zOsgzkzNL/eT5/aKQD0LsA=">AAAB+3icbVDLSgMxFL1TX7W+xrp0EyyCqzIjUl0WRHFZwT6wHUsmzbShmcyQZNQyDPglblwo4tYfceffmD4W2nrgwuGce8nJ8WPOlHacbyu3tLyyupZfL2xsbm3v2LvFhooSSWidRDySLR8rypmgdc00p61YUhz6nDb94fnYb95TqVgkbvQopl6I+4IFjGBtpK5dfEAdJlAnxHrg++ltdnfRtUtO2ZkALRJ3RkowQ61rf3V6EUlCKjThWKm268TaS7HUjHCaFTqJojEmQ9ynbUMFDqny0kn2DB0apYeCSJoRGk3U3xcpDpUahb7ZHGdU895Y/M9rJzo481Im4kRTQaYPBQlHOkLjIlCPSUo0HxmCiWQmKyIDLDHRpq6CKcGd//IiaRyX3Uq5cn1Sql4+TevIwz4cwBG4cApVuIIa1IHAIzzDK7xZmfVivVsf09WcNatwD/7A+vwBlwqUlw==</latexit> w → ZE ࠷େॏΈ׬શϚονϯά <latexit sha1_base64="RQl5rN7pvLVOseex2Y7EjMEOLAs=">AAAB9HicbZBLSwMxFIXv1Fetr6pLN8EiuCozItVlQRQ3QgX7gHYomfS2Dc1kpkmmUIaC/8KNC0Xc+mPc+W9MHwutHgh8nHNDbk4QC66N6345mZXVtfWN7GZua3tndy+/f1DTUaIYVlkkItUIqEbBJVYNNwIbsUIaBgLrweBqmtdHqDSP5IMZx+iHtCd5lzNqrOXfkZZOAo0Gh+S6nS+4RXcm8he8BRRgoUo7/9nqRCwJURomqNZNz42Nn1JlOBM4ybUSjTFlA9rDpkVJQ9R+Olt6Qk6s0yHdSNkjDZm5P2+kNNR6HAZ2MqSmr5ezqflf1kxM99JPuYwTg5LNH+omgpiITBsgHa6QGTG2QJnidlfC+lRRZmxPOVuCt/zlv1A7K3qlYun+vFC+eZzXkYUjOIZT8OACynALFagCgyE8wQu8OiPn2Xlz3uejGWdR4SH8kvPxDSvjkiU=</latexit> M → E <latexit sha1_base64="q0G4pxngJmx1F91sZ9PJxggKPlc=">AAAB/3icbVBNS8NAEN34WetXVPDiZbEInkoiUj0WRfBYwX5AG8JmO2mXbjZhd6OW2IN/xYsHRbz6N7z5b9y2OWjrg4HHezPMzAsSzpR2nG9rYXFpeWW1sFZc39jc2rZ3dhsqTiWFOo15LFsBUcCZgLpmmkMrkUCigEMzGFyO/eYdSMVicauHCXgR6QkWMkq0kXx7v6PSyM8Ad5jAVyN87wN+8MG3S07ZmQDPEzcnJZSj5ttfnW5M0wiEppwo1XadRHsZkZpRDqNiJ1WQEDogPWgbKkgEyssm94/wkVG6OIylKaHxRP09kZFIqWEUmM6I6L6a9cbif1471eG5lzGRpBoEnS4KU451jMdh4C6TQDUfGkKoZOZWTPtEEqpNZEUTgjv78jxpnJTdSrlyc1qqXuRxFNABOkTHyEVnqIquUQ3VEUWP6Bm9ojfryXqx3q2PaeuClc/soT+wPn8A9FyVbg==</latexit> e→E wexe <latexit sha1_base64="gjhdudMz51OOgeW9wwEzg4ChWbw=">AAACB3icbVBNS8NAEN34WetX1aMgi0Wol5KIVC9C0YvHCvYDmhA222m7dLMJu5tiCb158a948aCIV/+CN/+N2zYHbX0w8Hhvhpl5QcyZ0rb9bS0tr6yurec28ptb2zu7hb39hooSSaFOIx7JVkAUcCagrpnm0IolkDDg0AwGNxO/OQSpWCTu9SgGLyQ9wbqMEm0kv3DkqiT0U8AuE9jtANekNDwd4wcf8BV2/ELRLttT4EXiZKSIMtT8wpfbiWgSgtCUE6Xajh1rLyVSM8phnHcTBTGhA9KDtqGChKC8dPrHGJ8YpYO7kTQlNJ6qvydSEio1CgPTGRLdV/PeRPzPaye6e+mlTMSJBkFni7oJxzrCk1Bwh0mgmo8MIVQycyumfSIJ1Sa6vAnBmX95kTTOyk6lXLk7L1avszhy6BAdoxJy0AWqoltUQ3VE0SN6Rq/ozXqyXqx362PWumRlMwfoD6zPH8oTl/k=</latexit> e→ω(v) xe = 1 <latexit sha1_base64="grQGCeSGf3bVK5+h5OxdhaM0T4E=">AAAB7nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lEqseiF48V7Ae0oWy2k3bpZhN2N2IJ/RFePCji1d/jzX/jts1BWx8MPN6bYWZekAiujet+O4W19Y3NreJ2aWd3b/+gfHjU0nGqGDZZLGLVCahGwSU2DTcCO4lCGgUC28H4dua3H1FpHssHM0nQj+hQ8pAzaqzUfiK9IRK3X664VXcOskq8nFQgR6Nf/uoNYpZGKA0TVOuu5ybGz6gynAmclnqpxoSyMR1i11JJI9R+Nj93Ss6sMiBhrGxJQ+bq74mMRlpPosB2RtSM9LI3E//zuqkJr/2MyyQ1KNliUZgKYmIy+50MuEJmxMQSyhS3txI2oooyYxMq2RC85ZdXSeui6tWqtfvLSv0mj6MIJ3AK5+DBFdThDhrQBAZjeIZXeHMS58V5dz4WrQUnnzmGP3A+fwA43I7b</latexit> x → 0 <latexit sha1_base64="hrGCBcxXVsqEHbIW2eHV1gt7JNQ=">AAAB+XicbVBNS8NAEJ3Ur1q/oh69LBahXkoiUj0WvXjwUMV+QBPKZrtpl242YXdTKKH/xIsHRbz6T7z5b9y2OWjrg4HHezPMzAsSzpR2nG+rsLa+sblV3C7t7O7tH9iHRy0Vp5LQJol5LDsBVpQzQZuaaU47iaQ4CjhtB6Pbmd8eU6lYLJ70JKF+hAeChYxgbaSebVfGyGMC3SOPpAl6PO/ZZafqzIFWiZuTMuRo9Owvrx+TNKJCE46V6rpOov0MS80Ip9OSlyqaYDLCA9o1VOCIKj+bXz5FZ0bpozCWpoRGc/X3RIYjpSZRYDojrIdq2ZuJ/3ndVIfXfsZEkmoqyGJRmHKkYzSLAfWZpETziSGYSGZuRWSIJSbahFUyIbjLL6+S1kXVrVVrD5fl+k0eRxFO4BQq4MIV1OEOGtAEAmN4hld4szLrxXq3PhatBSufOYY/sD5/ACcrkhI=</latexit> (v → L ↑ R) max s.t. <latexit sha1_base64="b2Uu+U8EsttbO0AhyvoSK0F59fI=">AAACEHicbZC7TsMwFIYdrqXcAowsFhWChSpBqDBWsDAwFEQvUhNFjuu0bh0nsh2kKsojsPAqLAwgxMrIxtvgphmg5Zcs/frOOTo+vx8zKpVlfRsLi0vLK6ultfL6xubWtrmz25JRIjBp4ohFouMjSRjlpKmoYqQTC4JCn5G2P7qa1NsPREga8Xs1jokboj6nAcVIaeSZR45MQi+l0KEc3mRQehSewCkc5vAug8obembFqlq54LyxC1MBhRqe+eX0IpyEhCvMkJRd24qVmyKhKGYkKzuJJDHCI9QnXW05Col00/ygDB5q0oNBJPTjCub090SKQinHoa87Q6QGcrY2gf/VuokKLtyU8jhRhOPpoiBhUEVwkg7sUUGwYmNtEBZU/xXiARIIK51hWYdgz548b1qnVbtWrd2eVeqXRRwlsA8OwDGwwTmog2vQAE2AwSN4Bq/gzXgyXox342PaumAUM3vgj4zPH7zwm8g=</latexit> i→L si → j→R tj min <latexit sha1_base64="kxGI6ZJ9pXfxzsSNeDqsyAl+16c=">AAAB/XicbVDLSsNAFL2pr1pf8bFzM1gEN5ZEpLosunFZwT6gDWEynbTTTiZhZqLUUPwVNy4Ucet/uPNvnD4W2nrgwuGce7n3niDhTGnH+bZyS8srq2v59cLG5tb2jr27V1dxKgmtkZjHshlgRTkTtKaZ5rSZSIqjgNNGMLge+417KhWLxZ0eJtSLcFewkBGsjeTbB8pn6BRpv4/aXYoe/Iz1R75ddErOBGiRuDNShBmqvv3V7sQkjajQhGOlWq6TaC/DUjPC6ajQThVNMBngLm0ZKnBElZdNrh+hY6N0UBhLU0Kjifp7IsORUsMoMJ0R1j01743F/7xWqsNLL2MiSTUVZLooTDnSMRpHgTpMUqL50BBMJDO3ItLDEhNtAiuYENz5lxdJ/azklkvl2/Ni5WoWRx4O4QhOwIULqMANVKEGBB7hGV7hzXqyXqx362PamrNmM/vwB9bnDykzlGw=</latexit> si → tj ↑ wij <latexit sha1_base64="1JnYrTvqop9iG7L77XasGfU1Txc=">AAAB9HicbVBNS8NAEJ3Ur1q/qh69LBahBSlJkeqxKILHCvYD2lA22027drOJu5tCCf0dXjwo4tUf481/47bNQVsfDDzem2FmnhdxprRtf1uZtfWNza3sdm5nd2//IH941FRhLAltkJCHsu1hRTkTtKGZ5rQdSYoDj9OWN7qZ+a0xlYqF4kFPIuoGeCCYzwjWRnKLRXb+WEJdJtBtqZcv2GV7DrRKnJQUIEW9l//q9kMSB1RowrFSHceOtJtgqRnhdJrrxopGmIzwgHYMFTigyk3mR0/RmVH6yA+lKaHRXP09keBAqUngmc4A66Fa9mbif14n1v6VmzARxZoKsljkxxzpEM0SQH0mKdF8YggmkplbERliiYk2OeVMCM7yy6ukWSk71XL1/qJQu07jyMIJnEIRHLiEGtxBHRpA4Ame4RXerLH1Yr1bH4vWjJXOHMMfWJ8/FhiQYA==</latexit> ((i, j) → E) s.t. ओ໰୊ ૒ର໰୊ <latexit sha1_base64="I1UdZK4FLrnUQ8zGgusN7fUwhzM=">AAAB/XicbVDLSgMxFL1TX7W+xsfOTbAIdVNmRKrLogguq9gHdGrJpGkbmskMSUasQ/FX3LhQxK3/4c6/MdN2oa0HAodz7uWeHD/iTGnH+bYyC4tLyyvZ1dza+sbmlr29U1NhLAmtkpCHsuFjRTkTtKqZ5rQRSYoDn9O6P7hI/fo9lYqF4lYPI9oKcE+wLiNYG6lt7xUekMcE8gKs+76f3IzuLo/adt4pOmOgeeJOSR6mqLTtL68TkjigQhOOlWq6TqRbCZaaEU5HOS9WNMJkgHu0aajAAVWtZJx+hA6N0kHdUJonNBqrvzcSHCg1DHwzmYZUs14q/uc1Y909ayVMRLGmgkwOdWOOdIjSKlCHSUo0HxqCiWQmKyJ9LDHRprCcKcGd/fI8qR0X3VKxdH2SL59P68jCPhxAAVw4hTJcQQWqQOARnuEV3qwn68V6tz4moxlrurMLf2B9/gAz7JRx</latexit> (x → RE) <latexit sha1_base64="cFOlCG9fKx+RF2TEQ9AMgMhr94Y=">AAACDnicbVDLSsNAFJ34rPUVdelmsBRakJKIVDdC0Y0LF7XYBzSxTKaTduhkEmYmQgn9Ajf+ihsXirh17c6/cdJmoa0HLhzOuZd77/EiRqWyrG9jaXlldW09t5Hf3Nre2TX39lsyjAUmTRyyUHQ8JAmjnDQVVYx0IkFQ4DHS9kZXqd9+IELSkN+pcUTcAA049SlGSks9s1iK4AUsyWNVhg7l0AmQGnpe0pjcJzfQwXEEG5NyzyxYFWsKuEjsjBRAhnrP/HL6IY4DwhVmSMqubUXKTZBQFDMyyTuxJBHCIzQgXU05Coh0k+k7E1jUSh/6odDFFZyqvycSFEg5DjzdmV4r571U/M/rxso/dxPKo1gRjmeL/JhBFcI0G9ingmDFxpogLKi+FeIhEggrnWBeh2DPv7xIWicVu1qp3p4WapdZHDlwCI5ACdjgDNTANaiDJsDgETyDV/BmPBkvxrvxMWtdMrKZA/AHxucP4BuaKQ==</latexit> (p = (s, t) → RL→R) 1 3 1 1 2 1 4 3 2 2 A B C D
  9. /24 ϋϯΨϦΞϯ๏ 11 1 3 1 1 2 1 4

    3 2 2 <latexit sha1_base64="b2Uu+U8EsttbO0AhyvoSK0F59fI=">AAACEHicbZC7TsMwFIYdrqXcAowsFhWChSpBqDBWsDAwFEQvUhNFjuu0bh0nsh2kKsojsPAqLAwgxMrIxtvgphmg5Zcs/frOOTo+vx8zKpVlfRsLi0vLK6ultfL6xubWtrmz25JRIjBp4ohFouMjSRjlpKmoYqQTC4JCn5G2P7qa1NsPREga8Xs1jokboj6nAcVIaeSZR45MQi+l0KEc3mRQehSewCkc5vAug8obembFqlq54LyxC1MBhRqe+eX0IpyEhCvMkJRd24qVmyKhKGYkKzuJJDHCI9QnXW05Col00/ygDB5q0oNBJPTjCub090SKQinHoa87Q6QGcrY2gf/VuokKLtyU8jhRhOPpoiBhUEVwkg7sUUGwYmNtEBZU/xXiARIIK51hWYdgz548b1qnVbtWrd2eVeqXRRwlsA8OwDGwwTmog2vQAE2AwSN4Bq/gzXgyXox342PaumAUM3vgj4zPH7zwm8g=</latexit> i→L si → j→R tj min <latexit sha1_base64="kxGI6ZJ9pXfxzsSNeDqsyAl+16c=">AAAB/XicbVDLSsNAFL2pr1pf8bFzM1gEN5ZEpLosunFZwT6gDWEynbTTTiZhZqLUUPwVNy4Ucet/uPNvnD4W2nrgwuGce7n3niDhTGnH+bZyS8srq2v59cLG5tb2jr27V1dxKgmtkZjHshlgRTkTtKaZ5rSZSIqjgNNGMLge+417KhWLxZ0eJtSLcFewkBGsjeTbB8pn6BRpv4/aXYoe/Iz1R75ddErOBGiRuDNShBmqvv3V7sQkjajQhGOlWq6TaC/DUjPC6ajQThVNMBngLm0ZKnBElZdNrh+hY6N0UBhLU0Kjifp7IsORUsMoMJ0R1j01743F/7xWqsNLL2MiSTUVZLooTDnSMRpHgTpMUqL50BBMJDO3ItLDEhNtAiuYENz5lxdJ/azklkvl2/Ni5WoWRx4O4QhOwIULqMANVKEGBB7hGV7hzXqyXqx362PamrNmM/vwB9bnDykzlGw=</latexit> si → tj ↑ wij <latexit sha1_base64="1JnYrTvqop9iG7L77XasGfU1Txc=">AAAB9HicbVBNS8NAEJ3Ur1q/qh69LBahBSlJkeqxKILHCvYD2lA22027drOJu5tCCf0dXjwo4tUf481/47bNQVsfDDzem2FmnhdxprRtf1uZtfWNza3sdm5nd2//IH941FRhLAltkJCHsu1hRTkTtKGZ5rQdSYoDj9OWN7qZ+a0xlYqF4kFPIuoGeCCYzwjWRnKLRXb+WEJdJtBtqZcv2GV7DrRKnJQUIEW9l//q9kMSB1RowrFSHceOtJtgqRnhdJrrxopGmIzwgHYMFTigyk3mR0/RmVH6yA+lKaHRXP09keBAqUngmc4A66Fa9mbif14n1v6VmzARxZoKsljkxxzpEM0SQH0mKdF8YggmkplbERliiYk2OeVMCM7yy6ukWSk71XL1/qJQu07jyMIJnEIRHLiEGtxBHRpA4Ame4RXerLH1Yr1bH4vWjJXOHMMfWJ8/FhiQYA==</latexit> ((i, j) → E) s.t. ૒ର໰୊ 4 5 5 4 1 1 1 1 <latexit sha1_base64="uWioic9Sc3+uT7pr32g9YUpvtBk=">AAAB6HicbVBNS8NAEJ34WetX1aOXxSJ4KolI9Vj04rEF+wFtKJvtpF272YTdjVBCf4EXD4p49Sd589+4bXPQ1gcDj/dmmJkXJIJr47rfztr6xubWdmGnuLu3f3BYOjpu6ThVDJssFrHqBFSj4BKbhhuBnUQhjQKB7WB8N/PbT6g0j+WDmSToR3QoecgZNVZq6H6p7FbcOcgq8XJShhz1fumrN4hZGqE0TFCtu56bGD+jynAmcFrspRoTysZ0iF1LJY1Q+9n80Ck5t8qAhLGyJQ2Zq78nMhppPYkC2xlRM9LL3kz8z+umJrzxMy6T1KBki0VhKoiJyexrMuAKmRETSyhT3N5K2IgqyozNpmhD8JZfXiWty4pXrVQbV+XabR5HAU7hDC7Ag2uowT3UoQkMEJ7hFd6cR+fFeXc+Fq1rTj5zAn/gfP4A4jeNAg==</latexit> s <latexit sha1_base64="QhaWXmnGoOlgmZu6DZZxvnONEzE=">AAAB6HicbVBNS8NAEJ34WetX1aOXxSJ4KolI9Vj04rEF+wFtKJvtpl272YTdiVBCf4EXD4p49Sd589+4bXPQ1gcDj/dmmJkXJFIYdN1vZ219Y3Nru7BT3N3bPzgsHR23TJxqxpsslrHuBNRwKRRvokDJO4nmNAokbwfju5nffuLaiFg94CThfkSHSoSCUbRSA/ulsltx5yCrxMtJGXLU+6Wv3iBmacQVMkmN6Xpugn5GNQom+bTYSw1PKBvTIe9aqmjEjZ/ND52Sc6sMSBhrWwrJXP09kdHImEkU2M6I4sgsezPxP6+bYnjjZ0IlKXLFFovCVBKMyexrMhCaM5QTSyjTwt5K2IhqytBmU7QheMsvr5LWZcWrVqqNq3LtNo+jAKdwBhfgwTXU4B7q0AQGHJ7hFd6cR+fFeXc+Fq1rTj5zAn/gfP4A47uNAw==</latexit> t ࠷খ௖఺ඃ෴ɹɹɹΛݟ͚ͭΔ ॳظ࣮ߦՄೳղɹɹɹɹɹɹɹɹΛઃఆ <latexit sha1_base64="g2838bO9k2dFo9hwZu2tYL61PjI=">AAACDHicbVDLSgMxFM34rPVVdekmWIQKUmZEqhuh6MaFiyr2gZ2xZNK0Dc1kQpIRyjAf4MZfceNCEbd+gDv/xkw7C209EDiccy659/iCUaVt+9uam19YXFrOreRX19Y3Ngtb2w0VRhKTOg5ZKFs+UoRRTuqaakZaQhIU+Iw0/eFF6jcfiFQ05Ld6JIgXoD6nPYqRNlKnUBTwDJbUoT6ALuXQDZAe+H58l9zHV9DFkYA3iUnZZXsMOEucjBRBhlqn8OV2QxwFhGvMkFJtxxbai5HUFDOS5N1IEYHwEPVJ21COAqK8eHxMAveN0oW9UJrHNRyrvydiFCg1CnyTTJdV014q/ue1I9079WLKRaQJx5OPehGDOoRpM7BLJcGajQxBWFKzK8QDJBHWpr+8KcGZPnmWNI7KTqVcuT4uVs+zOnJgF+yBEnDACaiCS1ADdYDBI3gGr+DNerJerHfrYxKds7KZHfAH1ucPFfeZzA==</latexit> p = (s, t) → ZL→R λΠτ෦෼άϥϑɹɹɹɹɹɹɹɹͷ <latexit sha1_base64="yFkbL66fY5N8tf9Vo5D1a8H5XDQ=">AAAB/nicbVDJSgNBEK1xjXEbFU9eGoMQg4QZkehFCIrowUMUs0A2ejo9SZOehe4eIQwBf8WLB0W8+h3e/Bs7yRw08UHB470qquo5IWdSWda3MTe/sLi0nFpJr66tb2yaW9sVGUSC0DIJeCBqDpaUM5+WFVOc1kJBsedwWnX6lyO/+kiFZIH/oAYhbXq46zOXEay01DZ3r1s5dI6yt6hBohDdH6GrVu6wbWasvDUGmiV2QjKQoNQ2vxqdgEQe9RXhWMq6bYWqGWOhGOF0mG5EkoaY9HGX1jX1sUdlMx6fP0QHWukgNxC6fIXG6u+JGHtSDjxHd3pY9eS0NxL/8+qRcs+aMfPDSFGfTBa5EUcqQKMsUIcJShQfaIKJYPpWRHpYYKJ0Ymkdgj398iypHOftQr5wd5IpXiRxpGAP9iELNpxCEW6gBGUgEMMzvMKb8WS8GO/Gx6R1zkhmduAPjM8frU2SwA==</latexit> G→ = (L → R, E→) ੍໿Λ౳ࣜͰຬ͍ͨͯ͠Δล෦෼ू߹ <latexit sha1_base64="HJxQLG0OVgH9yfbkb6exOv5hWDQ=">AAAB7XicbVBNSwMxEJ2tX7V+VT16CRahgpRdkeqx6MVjxX5Bu5Rsmm1js8mSZIWy9D948aCIV/+PN/+NabsHrT4YeLw3w8y8IOZMG9f9cnIrq2vrG/nNwtb2zu5ecf+gpWWiCG0SyaXqBFhTzgRtGmY47cSK4ijgtB2Mb2Z++5EqzaRomElM/QgPBQsZwcZKrfL9GWqc9oslt+LOgf4SLyMlyFDvFz97A0mSiApDONa667mx8VOsDCOcTgu9RNMYkzEe0q6lAkdU++n82ik6scoAhVLZEgbN1Z8TKY60nkSB7YywGellbyb+53UTE175KRNxYqggi0VhwpGRaPY6GjBFieETSzBRzN6KyAgrTIwNqGBD8JZf/kta5xWvWqneXZRq11kceTiCYyiDB5dQg1uoQxMIPMATvMCrI51n5815X7TmnGzmEH7B+fgG2s2OBQ==</latexit> (S, T) <latexit sha1_base64="hYzD/EWV8+mX4TjiR2gRTSGtbr0=">AAACDnicbVDLSsNAFJ34rPEVHzs3g0UQhJKIVJdFNy4r2gc0IUymk3bozCTMTIQa+g9+glv9AHfi1l9w7Y84bbOwrQcuHM65l3M5Ucqo0q77bS0tr6yurZc27M2t7Z1dZ2+/qZJMYtLACUtkO0KKMCpIQ1PNSDuVBPGIkVY0uBn7rUciFU3Egx6mJOCoJ2hMMdJGCp1DBf0e0QoqeAb9iOfeKLwPnbJbcSeAi8QrSBkUqIfOj99NcMaJ0JghpTqem+ogR1JTzMjI9jNFUoQHqEc6hgrEiQryyfcjeGKULowTaUZoOFH/XuSIKzXkkdnkSPfVvDcW//M6mY6vgpyKNNNE4GlQnDGoEziuAnapJFizoSEIS2p+hbiPJMLaFGbPxER8ZJtWvPkOFknzvOJVK9W7i3LtuuinBI7AMTgFHrgENXAL6qABMHgCL+AVvFnP1rv1YX1OV5es4uYAzMD6+gXboZra</latexit> s → s + 1S <latexit sha1_base64="uHodfKaNkrwGx2zzHrSnQctG6CE=">AAACHHicbVDLSgNBEJyNrxhfUY9eBoMgCGFXRD2KXjxGSVTIhjA76cQhM7PLTK8Qlr37FX6CV/0Ab+JV8OyPOHkcNLGgoajqprsrSqSw6PtfXmFufmFxqbhcWlldW98ob27d2Dg1HBo8lrG5i5gFKTQ0UKCEu8QAU5GE26h/MfRvH8BYEes6DhJoKdbTois4Qye1y7tIwx6gpUgPaBipLMjb2TUNLaASOrW0nrfLFb/qj0BnSTAhFTJBrV3+DjsxTxVo5JJZ2wz8BFsZMyi4hLwUphYSxvusB01HNVNgW9nol5zuOaVDu7FxpZGO1N8TGVPWDlTkOhXDezvtDcX/vGaK3dNWJnSSImg+XtRNJcWYDoOhHWGAoxw4wrgR7lbK75lhHF18pT9rIpWXXCrBdAaz5OawGhxXj6+OKmfnk3yKZIfskn0SkBNyRi5JjTQIJ4/kmbyQV+/Je/PevY9xa8GbzGyTP/A+fwDovKDH</latexit> t → t + 1R\T ͷ׬શϚονϯάΛҰͭग़ྗ <latexit sha1_base64="V2tqoTRDO+4jPj6TqTVVxmoPLAg=">AAAB6nicbVDLSgNBEOz1GeMr6tHLYBDEQ9gViR6DHvQY0TwgWcPsZDYZMju7zPQKYcknePGgiFe/yJt/4+Rx0MSChqKqm+6uIJHCoOt+O0vLK6tr67mN/ObW9s5uYW+/buJUM15jsYx1M6CGS6F4DQVK3kw0p1EgeSMYXI/9xhPXRsTqAYcJ9yPaUyIUjKKV7m8eTzuFoltyJyCLxJuRIsxQ7RS+2t2YpRFXyCQ1puW5CfoZ1SiY5KN8OzU8oWxAe7xlqaIRN342OXVEjq3SJWGsbSkkE/X3REYjY4ZRYDsjin0z743F/7xWiuGlnwmVpMgVmy4KU0kwJuO/SVdozlAOLaFMC3srYX2qKUObTt6G4M2/vEjqZyWvXCrfnRcrV7M4cnAIR3ACHlxABW6hCjVg0INneIU3RzovzrvzMW1dcmYzB/AHzucPuGyNcg==</latexit> G→ while true if <latexit sha1_base64="mml1vRv1hOuSVrqchMZs4QctKUw=">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</latexit> |S| + |T| = |L| λΠτ෦෼άϥϑͷ௖఺෦෼ू߹Ͱɼ શͯͷลͷͲͪΒ͔ͷ୺఺ؚ͕·ΕΔ΋ͷ A B C D
  10. /24 ࠷খ௖఺ඃ෴ɹɹɹΛݟ͚ͭΔ ϋϯΨϦΞϯ๏ 12 1 3 1 1 2 1

    4 3 2 2 ॳظ࣮ߦՄೳղɹɹɹɹɹɹɹɹΛઃఆ <latexit sha1_base64="b2Uu+U8EsttbO0AhyvoSK0F59fI=">AAACEHicbZC7TsMwFIYdrqXcAowsFhWChSpBqDBWsDAwFEQvUhNFjuu0bh0nsh2kKsojsPAqLAwgxMrIxtvgphmg5Zcs/frOOTo+vx8zKpVlfRsLi0vLK6ultfL6xubWtrmz25JRIjBp4ohFouMjSRjlpKmoYqQTC4JCn5G2P7qa1NsPREga8Xs1jokboj6nAcVIaeSZR45MQi+l0KEc3mRQehSewCkc5vAug8obembFqlq54LyxC1MBhRqe+eX0IpyEhCvMkJRd24qVmyKhKGYkKzuJJDHCI9QnXW05Col00/ygDB5q0oNBJPTjCub090SKQinHoa87Q6QGcrY2gf/VuokKLtyU8jhRhOPpoiBhUEVwkg7sUUGwYmNtEBZU/xXiARIIK51hWYdgz548b1qnVbtWrd2eVeqXRRwlsA8OwDGwwTmog2vQAE2AwSN4Bq/gzXgyXox342PaumAUM3vgj4zPH7zwm8g=</latexit> i→L si → j→R tj min <latexit sha1_base64="kxGI6ZJ9pXfxzsSNeDqsyAl+16c=">AAAB/XicbVDLSsNAFL2pr1pf8bFzM1gEN5ZEpLosunFZwT6gDWEynbTTTiZhZqLUUPwVNy4Ucet/uPNvnD4W2nrgwuGce7n3niDhTGnH+bZyS8srq2v59cLG5tb2jr27V1dxKgmtkZjHshlgRTkTtKaZ5rSZSIqjgNNGMLge+417KhWLxZ0eJtSLcFewkBGsjeTbB8pn6BRpv4/aXYoe/Iz1R75ddErOBGiRuDNShBmqvv3V7sQkjajQhGOlWq6TaC/DUjPC6ajQThVNMBngLm0ZKnBElZdNrh+hY6N0UBhLU0Kjifp7IsORUsMoMJ0R1j01743F/7xWqsNLL2MiSTUVZLooTDnSMRpHgTpMUqL50BBMJDO3ItLDEhNtAiuYENz5lxdJ/azklkvl2/Ni5WoWRx4O4QhOwIULqMANVKEGBB7hGV7hzXqyXqx362PamrNmM/vwB9bnDykzlGw=</latexit> si → tj ↑ wij <latexit sha1_base64="1JnYrTvqop9iG7L77XasGfU1Txc=">AAAB9HicbVBNS8NAEJ3Ur1q/qh69LBahBSlJkeqxKILHCvYD2lA22027drOJu5tCCf0dXjwo4tUf481/47bNQVsfDDzem2FmnhdxprRtf1uZtfWNza3sdm5nd2//IH941FRhLAltkJCHsu1hRTkTtKGZ5rQdSYoDj9OWN7qZ+a0xlYqF4kFPIuoGeCCYzwjWRnKLRXb+WEJdJtBtqZcv2GV7DrRKnJQUIEW9l//q9kMSB1RowrFSHceOtJtgqRnhdJrrxopGmIzwgHYMFTigyk3mR0/RmVH6yA+lKaHRXP09keBAqUngmc4A66Fa9mbif14n1v6VmzARxZoKsljkxxzpEM0SQH0mKdF8YggmkplbERliiYk2OeVMCM7yy6ukWSk71XL1/qJQu07jyMIJnEIRHLiEGtxBHRpA4Ame4RXerLH1Yr1bH4vWjJXOHMMfWJ8/FhiQYA==</latexit> ((i, j) → E) s.t. ૒ର໰୊ <latexit sha1_base64="g2838bO9k2dFo9hwZu2tYL61PjI=">AAACDHicbVDLSgMxFM34rPVVdekmWIQKUmZEqhuh6MaFiyr2gZ2xZNK0Dc1kQpIRyjAf4MZfceNCEbd+gDv/xkw7C209EDiccy659/iCUaVt+9uam19YXFrOreRX19Y3Ngtb2w0VRhKTOg5ZKFs+UoRRTuqaakZaQhIU+Iw0/eFF6jcfiFQ05Ld6JIgXoD6nPYqRNlKnUBTwDJbUoT6ALuXQDZAe+H58l9zHV9DFkYA3iUnZZXsMOEucjBRBhlqn8OV2QxwFhGvMkFJtxxbai5HUFDOS5N1IEYHwEPVJ21COAqK8eHxMAveN0oW9UJrHNRyrvydiFCg1CnyTTJdV014q/ue1I9079WLKRaQJx5OPehGDOoRpM7BLJcGajQxBWFKzK8QDJBHWpr+8KcGZPnmWNI7KTqVcuT4uVs+zOnJgF+yBEnDACaiCS1ADdYDBI3gGr+DNerJerHfrYxKds7KZHfAH1ucPFfeZzA==</latexit> p = (s, t) → ZL→R λΠτ෦෼άϥϑɹɹɹɹɹɹɹɹͷ <latexit sha1_base64="yFkbL66fY5N8tf9Vo5D1a8H5XDQ=">AAAB/nicbVDJSgNBEK1xjXEbFU9eGoMQg4QZkehFCIrowUMUs0A2ejo9SZOehe4eIQwBf8WLB0W8+h3e/Bs7yRw08UHB470qquo5IWdSWda3MTe/sLi0nFpJr66tb2yaW9sVGUSC0DIJeCBqDpaUM5+WFVOc1kJBsedwWnX6lyO/+kiFZIH/oAYhbXq46zOXEay01DZ3r1s5dI6yt6hBohDdH6GrVu6wbWasvDUGmiV2QjKQoNQ2vxqdgEQe9RXhWMq6bYWqGWOhGOF0mG5EkoaY9HGX1jX1sUdlMx6fP0QHWukgNxC6fIXG6u+JGHtSDjxHd3pY9eS0NxL/8+qRcs+aMfPDSFGfTBa5EUcqQKMsUIcJShQfaIKJYPpWRHpYYKJ0Ymkdgj398iypHOftQr5wd5IpXiRxpGAP9iELNpxCEW6gBGUgEMMzvMKb8WS8GO/Gx6R1zkhmduAPjM8frU2SwA==</latexit> G→ = (L → R, E→) 4 5 5 4 2 2 2 1 <latexit sha1_base64="uWioic9Sc3+uT7pr32g9YUpvtBk=">AAAB6HicbVBNS8NAEJ34WetX1aOXxSJ4KolI9Vj04rEF+wFtKJvtpF272YTdjVBCf4EXD4p49Sd589+4bXPQ1gcDj/dmmJkXJIJr47rfztr6xubWdmGnuLu3f3BYOjpu6ThVDJssFrHqBFSj4BKbhhuBnUQhjQKB7WB8N/PbT6g0j+WDmSToR3QoecgZNVZq6H6p7FbcOcgq8XJShhz1fumrN4hZGqE0TFCtu56bGD+jynAmcFrspRoTysZ0iF1LJY1Q+9n80Ck5t8qAhLGyJQ2Zq78nMhppPYkC2xlRM9LL3kz8z+umJrzxMy6T1KBki0VhKoiJyexrMuAKmRETSyhT3N5K2IgqyozNpmhD8JZfXiWty4pXrVQbV+XabR5HAU7hDC7Ag2uowT3UoQkMEJ7hFd6cR+fFeXc+Fq1rTj5zAn/gfP4A4jeNAg==</latexit> s <latexit sha1_base64="QhaWXmnGoOlgmZu6DZZxvnONEzE=">AAAB6HicbVBNS8NAEJ34WetX1aOXxSJ4KolI9Vj04rEF+wFtKJvtpl272YTdiVBCf4EXD4p49Sd589+4bXPQ1gcDj/dmmJkXJFIYdN1vZ219Y3Nru7BT3N3bPzgsHR23TJxqxpsslrHuBNRwKRRvokDJO4nmNAokbwfju5nffuLaiFg94CThfkSHSoSCUbRSA/ulsltx5yCrxMtJGXLU+6Wv3iBmacQVMkmN6Xpugn5GNQom+bTYSw1PKBvTIe9aqmjEjZ/ND52Sc6sMSBhrWwrJXP09kdHImEkU2M6I4sgsezPxP6+bYnjjZ0IlKXLFFovCVBKMyexrMhCaM5QTSyjTwt5K2IhqytBmU7QheMsvr5LWZcWrVqqNq3LtNo+jAKdwBhfgwTXU4B7q0AQGHJ7hFd6cR+fFeXc+Fq1rTj5zAn/gfP4A47uNAw==</latexit> t <latexit sha1_base64="HJxQLG0OVgH9yfbkb6exOv5hWDQ=">AAAB7XicbVBNSwMxEJ2tX7V+VT16CRahgpRdkeqx6MVjxX5Bu5Rsmm1js8mSZIWy9D948aCIV/+PN/+NabsHrT4YeLw3w8y8IOZMG9f9cnIrq2vrG/nNwtb2zu5ecf+gpWWiCG0SyaXqBFhTzgRtGmY47cSK4ijgtB2Mb2Z++5EqzaRomElM/QgPBQsZwcZKrfL9GWqc9oslt+LOgf4SLyMlyFDvFz97A0mSiApDONa667mx8VOsDCOcTgu9RNMYkzEe0q6lAkdU++n82ik6scoAhVLZEgbN1Z8TKY60nkSB7YywGellbyb+53UTE175KRNxYqggi0VhwpGRaPY6GjBFieETSzBRzN6KyAgrTIwNqGBD8JZf/kta5xWvWqneXZRq11kceTiCYyiDB5dQg1uoQxMIPMATvMCrI51n5815X7TmnGzmEH7B+fgG2s2OBQ==</latexit> (S, T) <latexit sha1_base64="hYzD/EWV8+mX4TjiR2gRTSGtbr0=">AAACDnicbVDLSsNAFJ34rPEVHzs3g0UQhJKIVJdFNy4r2gc0IUymk3bozCTMTIQa+g9+glv9AHfi1l9w7Y84bbOwrQcuHM65l3M5Ucqo0q77bS0tr6yurZc27M2t7Z1dZ2+/qZJMYtLACUtkO0KKMCpIQ1PNSDuVBPGIkVY0uBn7rUciFU3Egx6mJOCoJ2hMMdJGCp1DBf0e0QoqeAb9iOfeKLwPnbJbcSeAi8QrSBkUqIfOj99NcMaJ0JghpTqem+ogR1JTzMjI9jNFUoQHqEc6hgrEiQryyfcjeGKULowTaUZoOFH/XuSIKzXkkdnkSPfVvDcW//M6mY6vgpyKNNNE4GlQnDGoEziuAnapJFizoSEIS2p+hbiPJMLaFGbPxER8ZJtWvPkOFknzvOJVK9W7i3LtuuinBI7AMTgFHrgENXAL6qABMHgCL+AVvFnP1rv1YX1OV5es4uYAzMD6+gXboZra</latexit> s → s + 1S <latexit sha1_base64="uHodfKaNkrwGx2zzHrSnQctG6CE=">AAACHHicbVDLSgNBEJyNrxhfUY9eBoMgCGFXRD2KXjxGSVTIhjA76cQhM7PLTK8Qlr37FX6CV/0Ab+JV8OyPOHkcNLGgoajqprsrSqSw6PtfXmFufmFxqbhcWlldW98ob27d2Dg1HBo8lrG5i5gFKTQ0UKCEu8QAU5GE26h/MfRvH8BYEes6DhJoKdbTois4Qye1y7tIwx6gpUgPaBipLMjb2TUNLaASOrW0nrfLFb/qj0BnSTAhFTJBrV3+DjsxTxVo5JJZ2wz8BFsZMyi4hLwUphYSxvusB01HNVNgW9nol5zuOaVDu7FxpZGO1N8TGVPWDlTkOhXDezvtDcX/vGaK3dNWJnSSImg+XtRNJcWYDoOhHWGAoxw4wrgR7lbK75lhHF18pT9rIpWXXCrBdAaz5OawGhxXj6+OKmfnk3yKZIfskn0SkBNyRi5JjTQIJ4/kmbyQV+/Je/PevY9xa8GbzGyTP/A+fwDovKDH</latexit> t → t + 1R\T ͷ׬શϚονϯάΛҰͭग़ྗ <latexit sha1_base64="V2tqoTRDO+4jPj6TqTVVxmoPLAg=">AAAB6nicbVDLSgNBEOz1GeMr6tHLYBDEQ9gViR6DHvQY0TwgWcPsZDYZMju7zPQKYcknePGgiFe/yJt/4+Rx0MSChqKqm+6uIJHCoOt+O0vLK6tr67mN/ObW9s5uYW+/buJUM15jsYx1M6CGS6F4DQVK3kw0p1EgeSMYXI/9xhPXRsTqAYcJ9yPaUyIUjKKV7m8eTzuFoltyJyCLxJuRIsxQ7RS+2t2YpRFXyCQ1puW5CfoZ1SiY5KN8OzU8oWxAe7xlqaIRN342OXVEjq3SJWGsbSkkE/X3REYjY4ZRYDsjin0z743F/7xWiuGlnwmVpMgVmy4KU0kwJuO/SVdozlAOLaFMC3srYX2qKUObTt6G4M2/vEjqZyWvXCrfnRcrV7M4cnAIR3ACHlxABW6hCjVg0INneIU3RzovzrvzMW1dcmYzB/AHzucPuGyNcg==</latexit> G→ while true if <latexit sha1_base64="MnmoEMmhIogg+FLMpADSFLrWZTk=">AAAB63icbVDLSgNBEOyNrxhfUY9eBoPgKeyKRI8BQTxGMA9IljA7mU2GzGOZmRXCEvALvHhQxKs/5M2/cTbJQRMLGoqqbrq7ooQzY33/2yusrW9sbhW3Szu7e/sH5cOjllGpJrRJFFe6E2FDOZO0aZnltJNoikXEaTsa3+R++5Fqw5R8sJOEhgIPJYsZwTaXeiyO++WKX/VnQKskWJAKLNDol796A0VSQaUlHBvTDfzEhhnWlhFOp6VeamiCyRgPaddRiQU1YTa7dYrOnDJAsdKupEUz9fdEhoUxExG5ToHtyCx7ufif101tfB1mTCappZLMF8UpR1ah/HE0YJoSyyeOYKKZuxWREdaYWBdPyYUQLL+8SloX1aBWrd1fVuq3T/M4inACp3AOAVxBHe6gAU0gMIJneIU3T3gv3rv3MW8teIsIj+EPvM8fLA6Owg==</latexit> →↑ ʹ׬શϚονϯά͋Γ <latexit sha1_base64="V2tqoTRDO+4jPj6TqTVVxmoPLAg=">AAAB6nicbVDLSgNBEOz1GeMr6tHLYBDEQ9gViR6DHvQY0TwgWcPsZDYZMju7zPQKYcknePGgiFe/yJt/4+Rx0MSChqKqm+6uIJHCoOt+O0vLK6tr67mN/ObW9s5uYW+/buJUM15jsYx1M6CGS6F4DQVK3kw0p1EgeSMYXI/9xhPXRsTqAYcJ9yPaUyIUjKKV7m8eTzuFoltyJyCLxJuRIsxQ7RS+2t2YpRFXyCQ1puW5CfoZ1SiY5KN8OzU8oWxAe7xlqaIRN342OXVEjq3SJWGsbSkkE/X3REYjY4ZRYDsjin0z743F/7xWiuGlnwmVpMgVmy4KU0kwJuO/SVdozlAOLaFMC3srYX2qKUObTt6G4M2/vEjqZyWvXCrfnRcrV7M4cnAIR3ACHlxABW6hCjVg0INneIU3RzovzrvzMW1dcmYzB/AHzucPuGyNcg==</latexit> G→ <latexit sha1_base64="mml1vRv1hOuSVrqchMZs4QctKUw=">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</latexit> |S| + |T| = |L| ੍໿Λ౳ࣜͰຬ͍ͨͯ͠Δล෦෼ू߹ A B C D
  11. /24 ϋϯΨϦΞϯ๏ 13 <latexit sha1_base64="b2Uu+U8EsttbO0AhyvoSK0F59fI=">AAACEHicbZC7TsMwFIYdrqXcAowsFhWChSpBqDBWsDAwFEQvUhNFjuu0bh0nsh2kKsojsPAqLAwgxMrIxtvgphmg5Zcs/frOOTo+vx8zKpVlfRsLi0vLK6ultfL6xubWtrmz25JRIjBp4ohFouMjSRjlpKmoYqQTC4JCn5G2P7qa1NsPREga8Xs1jokboj6nAcVIaeSZR45MQi+l0KEc3mRQehSewCkc5vAug8obembFqlq54LyxC1MBhRqe+eX0IpyEhCvMkJRd24qVmyKhKGYkKzuJJDHCI9QnXW05Col00/ygDB5q0oNBJPTjCub090SKQinHoa87Q6QGcrY2gf/VuokKLtyU8jhRhOPpoiBhUEVwkg7sUUGwYmNtEBZU/xXiARIIK51hWYdgz548b1qnVbtWrd2eVeqXRRwlsA8OwDGwwTmog2vQAE2AwSN4Bq/gzXgyXox342PaumAUM3vgj4zPH7zwm8g=</latexit> i→L si → j→R tj

    min <latexit sha1_base64="kxGI6ZJ9pXfxzsSNeDqsyAl+16c=">AAAB/XicbVDLSsNAFL2pr1pf8bFzM1gEN5ZEpLosunFZwT6gDWEynbTTTiZhZqLUUPwVNy4Ucet/uPNvnD4W2nrgwuGce7n3niDhTGnH+bZyS8srq2v59cLG5tb2jr27V1dxKgmtkZjHshlgRTkTtKaZ5rSZSIqjgNNGMLge+417KhWLxZ0eJtSLcFewkBGsjeTbB8pn6BRpv4/aXYoe/Iz1R75ddErOBGiRuDNShBmqvv3V7sQkjajQhGOlWq6TaC/DUjPC6ajQThVNMBngLm0ZKnBElZdNrh+hY6N0UBhLU0Kjifp7IsORUsMoMJ0R1j01743F/7xWqsNLL2MiSTUVZLooTDnSMRpHgTpMUqL50BBMJDO3ItLDEhNtAiuYENz5lxdJ/azklkvl2/Ni5WoWRx4O4QhOwIULqMANVKEGBB7hGV7hzXqyXqx362PamrNmM/vwB9bnDykzlGw=</latexit> si → tj ↑ wij <latexit sha1_base64="1JnYrTvqop9iG7L77XasGfU1Txc=">AAAB9HicbVBNS8NAEJ3Ur1q/qh69LBahBSlJkeqxKILHCvYD2lA22027drOJu5tCCf0dXjwo4tUf481/47bNQVsfDDzem2FmnhdxprRtf1uZtfWNza3sdm5nd2//IH941FRhLAltkJCHsu1hRTkTtKGZ5rQdSYoDj9OWN7qZ+a0xlYqF4kFPIuoGeCCYzwjWRnKLRXb+WEJdJtBtqZcv2GV7DrRKnJQUIEW9l//q9kMSB1RowrFSHceOtJtgqRnhdJrrxopGmIzwgHYMFTigyk3mR0/RmVH6yA+lKaHRXP09keBAqUngmc4A66Fa9mbif14n1v6VmzARxZoKsljkxxzpEM0SQH0mKdF8YggmkplbERliiYk2OeVMCM7yy6ukWSk71XL1/qJQu07jyMIJnEIRHLiEGtxBHRpA4Ame4RXerLH1Yr1bH4vWjJXOHMMfWJ8/FhiQYA==</latexit> ((i, j) → E) s.t. ૒ର໰୊ <latexit sha1_base64="ye8SJN8QIoQVblQkcaNHsEo1MNg=">AAACBHicbVDLSsNAFJ3UV42vqks3wSLUTUlEqsuiG3dWsLXQhDKZTtuhM5M4cyOUkK2f4FY/wJ249T9c+yNO2yxs64ELh3Pu5VxOGHOmwXW/rcLK6tr6RnHT3tre2d0r7R+0dJQoQpsk4pFqh1hTziRtAgNO27GiWIScPoSj64n/8ESVZpG8h3FMA4EHkvUZwWAk/7YifP2oIJXZabdUdqvuFM4y8XJSRjka3dKP34tIIqgEwrHWHc+NIUixAkY4zWw/0TTGZIQHtGOoxILqIJ3+nDknRuk5/UiZkeBM1b8XKRZaj0VoNgWGoV70JuJ/XieB/mWQMhknQCWZBfUT7kDkTApwekxRAnxsCCaKmV8dMsQKEzA12XMxochs04q32MEyaZ1VvVq1dnderl/l/RTRETpGFeShC1RHN6iBmoigGL2gV/RmPVvv1of1OVstWPnNIZqD9fUL07OYTA==</latexit> O(m → n) ࣌ؒ ʢHopcroft–Karpͷ ॏΈͳ͠ೋ෦ϚονϯάΞϧΰϦζϜʣ ܭࢉ࣌ؒº൓෮ճ਺ <latexit sha1_base64="ye8SJN8QIoQVblQkcaNHsEo1MNg=">AAACBHicbVDLSsNAFJ3UV42vqks3wSLUTUlEqsuiG3dWsLXQhDKZTtuhM5M4cyOUkK2f4FY/wJ249T9c+yNO2yxs64ELh3Pu5VxOGHOmwXW/rcLK6tr6RnHT3tre2d0r7R+0dJQoQpsk4pFqh1hTziRtAgNO27GiWIScPoSj64n/8ESVZpG8h3FMA4EHkvUZwWAk/7YifP2oIJXZabdUdqvuFM4y8XJSRjka3dKP34tIIqgEwrHWHc+NIUixAkY4zWw/0TTGZIQHtGOoxILqIJ3+nDknRuk5/UiZkeBM1b8XKRZaj0VoNgWGoV70JuJ/XieB/mWQMhknQCWZBfUT7kDkTApwekxRAnxsCCaKmV8dMsQKEzA12XMxochs04q32MEyaZ1VvVq1dnderl/l/RTRETpGFeShC1RHN6iBmoigGL2gV/RmPVvv1of1OVstWPnNIZqD9fUL07OYTA==</latexit> O(m → n) ʢॳظ࣮ߦՄೳղ ॴ༩ͷ΋ͱͰʣ ࠷খ௖఺ඃ෴ɹɹɹΛݟ͚ͭΔ ॳظ࣮ߦՄೳղɹɹɹɹɹɹɹɹΛઃఆ <latexit sha1_base64="g2838bO9k2dFo9hwZu2tYL61PjI=">AAACDHicbVDLSgMxFM34rPVVdekmWIQKUmZEqhuh6MaFiyr2gZ2xZNK0Dc1kQpIRyjAf4MZfceNCEbd+gDv/xkw7C209EDiccy659/iCUaVt+9uam19YXFrOreRX19Y3Ngtb2w0VRhKTOg5ZKFs+UoRRTuqaakZaQhIU+Iw0/eFF6jcfiFQ05Ld6JIgXoD6nPYqRNlKnUBTwDJbUoT6ALuXQDZAe+H58l9zHV9DFkYA3iUnZZXsMOEucjBRBhlqn8OV2QxwFhGvMkFJtxxbai5HUFDOS5N1IEYHwEPVJ21COAqK8eHxMAveN0oW9UJrHNRyrvydiFCg1CnyTTJdV014q/ue1I9079WLKRaQJx5OPehGDOoRpM7BLJcGajQxBWFKzK8QDJBHWpr+8KcGZPnmWNI7KTqVcuT4uVs+zOnJgF+yBEnDACaiCS1ADdYDBI3gGr+DNerJerHfrYxKds7KZHfAH1ucPFfeZzA==</latexit> p = (s, t) → ZL→R λΠτ෦෼άϥϑɹɹɹɹɹɹɹɹͷ <latexit sha1_base64="yFkbL66fY5N8tf9Vo5D1a8H5XDQ=">AAAB/nicbVDJSgNBEK1xjXEbFU9eGoMQg4QZkehFCIrowUMUs0A2ejo9SZOehe4eIQwBf8WLB0W8+h3e/Bs7yRw08UHB470qquo5IWdSWda3MTe/sLi0nFpJr66tb2yaW9sVGUSC0DIJeCBqDpaUM5+WFVOc1kJBsedwWnX6lyO/+kiFZIH/oAYhbXq46zOXEay01DZ3r1s5dI6yt6hBohDdH6GrVu6wbWasvDUGmiV2QjKQoNQ2vxqdgEQe9RXhWMq6bYWqGWOhGOF0mG5EkoaY9HGX1jX1sUdlMx6fP0QHWukgNxC6fIXG6u+JGHtSDjxHd3pY9eS0NxL/8+qRcs+aMfPDSFGfTBa5EUcqQKMsUIcJShQfaIKJYPpWRHpYYKJ0Ymkdgj398iypHOftQr5wd5IpXiRxpGAP9iELNpxCEW6gBGUgEMMzvMKb8WS8GO/Gx6R1zkhmduAPjM8frU2SwA==</latexit> G→ = (L → R, E→) <latexit sha1_base64="HJxQLG0OVgH9yfbkb6exOv5hWDQ=">AAAB7XicbVBNSwMxEJ2tX7V+VT16CRahgpRdkeqx6MVjxX5Bu5Rsmm1js8mSZIWy9D948aCIV/+PN/+NabsHrT4YeLw3w8y8IOZMG9f9cnIrq2vrG/nNwtb2zu5ecf+gpWWiCG0SyaXqBFhTzgRtGmY47cSK4ijgtB2Mb2Z++5EqzaRomElM/QgPBQsZwcZKrfL9GWqc9oslt+LOgf4SLyMlyFDvFz97A0mSiApDONa667mx8VOsDCOcTgu9RNMYkzEe0q6lAkdU++n82ik6scoAhVLZEgbN1Z8TKY60nkSB7YywGellbyb+53UTE175KRNxYqggi0VhwpGRaPY6GjBFieETSzBRzN6KyAgrTIwNqGBD8JZf/kta5xWvWqneXZRq11kceTiCYyiDB5dQg1uoQxMIPMATvMCrI51n5815X7TmnGzmEH7B+fgG2s2OBQ==</latexit> (S, T) <latexit sha1_base64="hYzD/EWV8+mX4TjiR2gRTSGtbr0=">AAACDnicbVDLSsNAFJ34rPEVHzs3g0UQhJKIVJdFNy4r2gc0IUymk3bozCTMTIQa+g9+glv9AHfi1l9w7Y84bbOwrQcuHM65l3M5Ucqo0q77bS0tr6yurZc27M2t7Z1dZ2+/qZJMYtLACUtkO0KKMCpIQ1PNSDuVBPGIkVY0uBn7rUciFU3Egx6mJOCoJ2hMMdJGCp1DBf0e0QoqeAb9iOfeKLwPnbJbcSeAi8QrSBkUqIfOj99NcMaJ0JghpTqem+ogR1JTzMjI9jNFUoQHqEc6hgrEiQryyfcjeGKULowTaUZoOFH/XuSIKzXkkdnkSPfVvDcW//M6mY6vgpyKNNNE4GlQnDGoEziuAnapJFizoSEIS2p+hbiPJMLaFGbPxER8ZJtWvPkOFknzvOJVK9W7i3LtuuinBI7AMTgFHrgENXAL6qABMHgCL+AVvFnP1rv1YX1OV5es4uYAzMD6+gXboZra</latexit> s → s + 1S <latexit sha1_base64="uHodfKaNkrwGx2zzHrSnQctG6CE=">AAACHHicbVDLSgNBEJyNrxhfUY9eBoMgCGFXRD2KXjxGSVTIhjA76cQhM7PLTK8Qlr37FX6CV/0Ab+JV8OyPOHkcNLGgoajqprsrSqSw6PtfXmFufmFxqbhcWlldW98ob27d2Dg1HBo8lrG5i5gFKTQ0UKCEu8QAU5GE26h/MfRvH8BYEes6DhJoKdbTois4Qye1y7tIwx6gpUgPaBipLMjb2TUNLaASOrW0nrfLFb/qj0BnSTAhFTJBrV3+DjsxTxVo5JJZ2wz8BFsZMyi4hLwUphYSxvusB01HNVNgW9nol5zuOaVDu7FxpZGO1N8TGVPWDlTkOhXDezvtDcX/vGaK3dNWJnSSImg+XtRNJcWYDoOhHWGAoxw4wrgR7lbK75lhHF18pT9rIpWXXCrBdAaz5OawGhxXj6+OKmfnk3yKZIfskn0SkBNyRi5JjTQIJ4/kmbyQV+/Je/PevY9xa8GbzGyTP/A+fwDovKDH</latexit> t → t + 1R\T ͷ׬શϚονϯάΛҰͭग़ྗ <latexit sha1_base64="V2tqoTRDO+4jPj6TqTVVxmoPLAg=">AAAB6nicbVDLSgNBEOz1GeMr6tHLYBDEQ9gViR6DHvQY0TwgWcPsZDYZMju7zPQKYcknePGgiFe/yJt/4+Rx0MSChqKqm+6uIJHCoOt+O0vLK6tr67mN/ObW9s5uYW+/buJUM15jsYx1M6CGS6F4DQVK3kw0p1EgeSMYXI/9xhPXRsTqAYcJ9yPaUyIUjKKV7m8eTzuFoltyJyCLxJuRIsxQ7RS+2t2YpRFXyCQ1puW5CfoZ1SiY5KN8OzU8oWxAe7xlqaIRN342OXVEjq3SJWGsbSkkE/X3REYjY4ZRYDsjin0z743F/7xWiuGlnwmVpMgVmy4KU0kwJuO/SVdozlAOLaFMC3srYX2qKUObTt6G4M2/vEjqZyWvXCrfnRcrV7M4cnAIR3ACHlxABW6hCjVg0INneIU3RzovzrvzMW1dcmYzB/AHzucPuGyNcg==</latexit> G→ while true if <latexit sha1_base64="MnmoEMmhIogg+FLMpADSFLrWZTk=">AAAB63icbVDLSgNBEOyNrxhfUY9eBoPgKeyKRI8BQTxGMA9IljA7mU2GzGOZmRXCEvALvHhQxKs/5M2/cTbJQRMLGoqqbrq7ooQzY33/2yusrW9sbhW3Szu7e/sH5cOjllGpJrRJFFe6E2FDOZO0aZnltJNoikXEaTsa3+R++5Fqw5R8sJOEhgIPJYsZwTaXeiyO++WKX/VnQKskWJAKLNDol796A0VSQaUlHBvTDfzEhhnWlhFOp6VeamiCyRgPaddRiQU1YTa7dYrOnDJAsdKupEUz9fdEhoUxExG5ToHtyCx7ufif101tfB1mTCappZLMF8UpR1ah/HE0YJoSyyeOYKKZuxWREdaYWBdPyYUQLL+8SloX1aBWrd1fVuq3T/M4inACp3AOAVxBHe6gAU0gMIJneIU3T3gv3rv3MW8teIsIj+EPvM8fLA6Owg==</latexit> →↑ ʹ׬શϚονϯά͋Γ <latexit sha1_base64="V2tqoTRDO+4jPj6TqTVVxmoPLAg=">AAAB6nicbVDLSgNBEOz1GeMr6tHLYBDEQ9gViR6DHvQY0TwgWcPsZDYZMju7zPQKYcknePGgiFe/yJt/4+Rx0MSChqKqm+6uIJHCoOt+O0vLK6tr67mN/ObW9s5uYW+/buJUM15jsYx1M6CGS6F4DQVK3kw0p1EgeSMYXI/9xhPXRsTqAYcJ9yPaUyIUjKKV7m8eTzuFoltyJyCLxJuRIsxQ7RS+2t2YpRFXyCQ1puW5CfoZ1SiY5KN8OzU8oWxAe7xlqaIRN342OXVEjq3SJWGsbSkkE/X3REYjY4ZRYDsjin0z743F/7xWiuGlnwmVpMgVmy4KU0kwJuO/SVdozlAOLaFMC3srYX2qKUObTt6G4M2/vEjqZyWvXCrfnRcrV7M4cnAIR3ACHlxABW6hCjVg0INneIU3RzovzrvzMW1dcmYzB/AHzucPuGyNcg==</latexit> G→ <latexit sha1_base64="mml1vRv1hOuSVrqchMZs4QctKUw=">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</latexit> |S| + |T| = |L| ੍໿Λ౳ࣜͰຬ͍ͨͯ͠Δล෦෼ू߹
  12. /24 ϋϯΨϦΞϯ๏ͷ൓෮ճ਺ 14 <latexit sha1_base64="b2Uu+U8EsttbO0AhyvoSK0F59fI=">AAACEHicbZC7TsMwFIYdrqXcAowsFhWChSpBqDBWsDAwFEQvUhNFjuu0bh0nsh2kKsojsPAqLAwgxMrIxtvgphmg5Zcs/frOOTo+vx8zKpVlfRsLi0vLK6ultfL6xubWtrmz25JRIjBp4ohFouMjSRjlpKmoYqQTC4JCn5G2P7qa1NsPREga8Xs1jokboj6nAcVIaeSZR45MQi+l0KEc3mRQehSewCkc5vAug8obembFqlq54LyxC1MBhRqe+eX0IpyEhCvMkJRd24qVmyKhKGYkKzuJJDHCI9QnXW05Col00/ygDB5q0oNBJPTjCub090SKQinHoa87Q6QGcrY2gf/VuokKLtyU8jhRhOPpoiBhUEVwkg7sUUGwYmNtEBZU/xXiARIIK51hWYdgz548b1qnVbtWrd2eVeqXRRwlsA8OwDGwwTmog2vQAE2AwSN4Bq/gzXgyXox342PaumAUM3vgj4zPH7zwm8g=</latexit> i→L si → j→R tj

    min <latexit sha1_base64="kxGI6ZJ9pXfxzsSNeDqsyAl+16c=">AAAB/XicbVDLSsNAFL2pr1pf8bFzM1gEN5ZEpLosunFZwT6gDWEynbTTTiZhZqLUUPwVNy4Ucet/uPNvnD4W2nrgwuGce7n3niDhTGnH+bZyS8srq2v59cLG5tb2jr27V1dxKgmtkZjHshlgRTkTtKaZ5rSZSIqjgNNGMLge+417KhWLxZ0eJtSLcFewkBGsjeTbB8pn6BRpv4/aXYoe/Iz1R75ddErOBGiRuDNShBmqvv3V7sQkjajQhGOlWq6TaC/DUjPC6ajQThVNMBngLm0ZKnBElZdNrh+hY6N0UBhLU0Kjifp7IsORUsMoMJ0R1j01743F/7xWqsNLL2MiSTUVZLooTDnSMRpHgTpMUqL50BBMJDO3ItLDEhNtAiuYENz5lxdJ/azklkvl2/Ni5WoWRx4O4QhOwIULqMANVKEGBB7hGV7hzXqyXqx362PamrNmM/vwB9bnDykzlGw=</latexit> si → tj ↑ wij <latexit sha1_base64="1JnYrTvqop9iG7L77XasGfU1Txc=">AAAB9HicbVBNS8NAEJ3Ur1q/qh69LBahBSlJkeqxKILHCvYD2lA22027drOJu5tCCf0dXjwo4tUf481/47bNQVsfDDzem2FmnhdxprRtf1uZtfWNza3sdm5nd2//IH941FRhLAltkJCHsu1hRTkTtKGZ5rQdSYoDj9OWN7qZ+a0xlYqF4kFPIuoGeCCYzwjWRnKLRXb+WEJdJtBtqZcv2GV7DrRKnJQUIEW9l//q9kMSB1RowrFSHceOtJtgqRnhdJrrxopGmIzwgHYMFTigyk3mR0/RmVH6yA+lKaHRXP09keBAqUngmc4A66Fa9mbif14n1v6VmzARxZoKsljkxxzpEM0SQH0mKdF8YggmkplbERliiYk2OeVMCM7yy6ukWSk71XL1/qJQu07jyMIJnEIRHLiEGtxBHRpA4Ame4RXerLH1Yr1bH4vWjJXOHMMfWJ8/FhiQYA==</latexit> ((i, j) → E) s.t. ૒ର໰୊ ϋϯΨϦΞϯ๏ͷ൓෮ճ਺㱡 ࠷దղ ॳظղ [Dinitz–Im–Lavastida–Moseley–Vassiliviskii ’21] Ұ൓෮Ͱ໨తؔ਺͕গͳ͘ͱ΋Լ͕Δɽ -ڑ཭͸อकత͗͢Ͱ͸ʁɹ൓෮ճ਺-㱣ڑ཭͘Β͍ʹͳΒͳ͍ʁ ૒ର࠷దղͬͯҰҙ͡Όͳ͘ͳ͍ʁɹͲͷ࠷దղ·Ͱͷڑ཭ʁ ݁ہͳΜͰओ໰୊Ͱͷ༧ଌ͸͏·͍͔͘ͳ͍ͷʁ ͦͷٙ໰ɼ཭ࢄತղੳ͕ղܾ͠·͢ʂ
  13. /24 ཭ࢄತղੳʜͷલʹತղੳ 15 <latexit sha1_base64="L70ZoRU+hw+2atS0Dt5h8eL5X88=">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</latexit> f : Rn ! R

    [ {+1} ͕ತ <latexit sha1_base64="xBWpQw76U1GD+Gr0UkSym+tMN18=">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</latexit> def () <latexit sha1_base64="3MGnxhexBBnDxb/5+ATeLDQY6tg=">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</latexit> f(x) + f(y) f(x + ↵(y x)) + f(y ↵(y x)) <latexit sha1_base64="UO/Yc1O+JFyBIaf6yxLxefHsyv8=">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</latexit> () த఺ತੑ <latexit sha1_base64="3tkdAuPXdQkAcmX+9lhfiHmfnjQ=">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</latexit> f(x) + f(y) 2f ✓ x + y 2 ◆ <latexit 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(8x, y 2 Rn) <latexit 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f(x) <latexit 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x + ↵(y x) <latexit 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y ↵(y x) ౳ۙತੑ ͸ತ ࿨ <latexit sha1_base64="sETcCIgLKPS33g9wnAcUmRcF4I4=">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</latexit> (f1 + f2)(x) := f1(x) + f2(x) (x 2 Rn) ߹੒ੵ <latexit 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(f1 ⇤ f2)(x) := min y2Rn {f1(y) + f2(x y)} (x 2 Rn) ڞ໾ <latexit sha1_base64="55biOns18o6ZaAAw+7cCjBuccbU=">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</latexit> f•(p) := max x2Rn {hp, xi f(x)} (p 2 Rn) ૒ڞ໾ੑ <latexit sha1_base64="yGzy1Rp4wc+tQx+1erfEOC8k1mA=">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</latexit> f••(x) = f(x) (x 2 Rn) ͸ತ ͸ತ ತؔ਺㲈ޮ཰తʹ࠷దԽՄೳͳؔ਺ ͕ہॴత࠷దʢ㱽ɿͷ։ۙ๣TUɹɹɹɹɹɹɹ େҬత࠷ద <latexit sha1_base64="MnmoEMmhIogg+FLMpADSFLrWZTk=">AAAB63icbVDLSgNBEOyNrxhfUY9eBoPgKeyKRI8BQTxGMA9IljA7mU2GzGOZmRXCEvALvHhQxKs/5M2/cTbJQRMLGoqqbrq7ooQzY33/2yusrW9sbhW3Szu7e/sH5cOjllGpJrRJFFe6E2FDOZO0aZnltJNoikXEaTsa3+R++5Fqw5R8sJOEhgIPJYsZwTaXeiyO++WKX/VnQKskWJAKLNDol796A0VSQaUlHBvTDfzEhhnWlhFOp6VeamiCyRgPaddRiQU1YTa7dYrOnDJAsdKupEUz9fdEhoUxExG5ToHtyCx7ufif101tfB1mTCappZLMF8UpR1ah/HE0YJoSyyeOYKKZuxWREdaYWBdPyYUQLL+8SloX1aBWrd1fVuq3T/M4inACp3AOAVxBHe6gAU0gMIJneIU3T3gv3rv3MW8teIsIj+EPvM8fLA6Owg==</latexit> →↑ <latexit sha1_base64="mQPUuGF+qQSMyLMvR//H6BqDz3A=">AAACGXicdVDLSgMxFM3UV62vqhvBTbAIroaZolV3RTcuq9gHtLVk0ts2NJMZk4xYhvojbt3qP7gTt678Bb/CTB9gRQ8EDufcV44Xcqa043xaqbn5hcWl9HJmZXVtfSO7uVVRQSQplGnAA1nziALOBJQ10xxqoQTiexyqXv888at3IBULxLUehND0SVewDqNEG6mV3Snjhoo8BRpuccMnuud58dXwxlg5x3ZPE2DHzjsGR1OSx67tjJBDE5Ra2a9GO6CRD0JTTpSqu06omzGRmlEOw0wjUhAS2iddqBsqiA+qGY9+MMT7RmnjTiDNExqP1J8dMfGVGvieqUxuVL+9RPzLq0e6c9KMmQgjDYKOF3UijnWAkzhwm0mgmg8MIVQycyumPSIJ1Sa0mS2CUTDzJbsfZkw40wTw/6SSt92CXbg8zBXPJjGl0S7aQwfIRceoiC5QCZURRQ/oCT2jF+vRerXerPdxacqa9GyjGVgf36bKoVc=</latexit> U → Rn <latexit sha1_base64="Z90XEmaEQyoKTBbM9U3jzBvmpmg=">AAACFXicdVDLSgMxFM3UV62v+ti5CRZBXAwzRavuim5cVrEP6ExLJk3b0ExmSDLSOsx3uHWr/+BO3Lr2F/wKM32AFT0QOJxzb+7heCGjUlnWp5FZWFxaXsmu5tbWNza38ts7NRlEApMqDlggGh6ShFFOqooqRhqhIMj3GKl7g6vUr98TIWnA79QoJK6Pepx2KUZKS+383rB1DB3KoeMj1fe8+DZpablgmfZFCmiZRUvjdEaK0DatMQpgiko7/+V0Ahz5hCvMkJRN2wqVGyOhKGYkyTmRJCHCA9QjTU058ol043H6BB5qpQO7gdCPKzhWf27EyJdy5Ht6Ms0of3up+JfXjFT33I0pDyNFOJ4c6kYMqgCmVcAOFQQrNtIEYUF1Voj7SCCsdGFzVzjFRP8v6DDJ6XJmDcD/Sa1o2iWzdHNSKF9Oa8qCfXAAjoANzkAZXIMKqAIMHsATeAYvxqPxarwZ75PRjDHd2QVzMD6+Addsn0U=</latexit> x→ → Rn <latexit sha1_base64="oBV2zpzzgUVaW+h9QAGl8Y8JraU=">AAACAnicdVDLSgMxFL3js9ZX1aWbYBHExTBTtOqu6MZlRfuAdiyZNNOGZjJDkpGW0p1bt/oP7sStP+Iv+BVm+gAreiBwOOe+cvyYM6Ud59NaWFxaXlnNrGXXNza3tnM7u1UVJZLQCol4JOs+VpQzQSuaaU7rsaQ49Dmt+b2r1K89UKlYJO70IKZeiDuCBYxgbaTb/v1xK5d3bPciBXLsgmNwOiMF5NrOGHmYotzKfTXbEUlCKjThWKmG68TaG2KpGeF0lG0misaY9HCHNgwVOKTKG45PHaFDo7RREEnzhEZj9WfHEIdKDULfVIZYd9VvLxX/8hqJDs69IRNxoqkgk0VBwpGOUPpv1GaSEs0HhmAimbkVkS6WmGiTztwWwQg18yXrj7ImnFkC6H9SLdhu0S7enORLl9OYMrAPB3AELpxBCa6hDBUg0IEneIYX69F6td6s90npgjXt2YM5WB/feA6YFw==</latexit> x→ <latexit sha1_base64="nFaprZYM6J1O+NaI2xWB0W+GB/o=">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</latexit> x→ → arg min x↑U f(x) ࠷దੑ৚݅ɿ <latexit sha1_base64="7O8uu+bBl9t5VYBSKYr1/se+GpY=">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</latexit> (→x, y ↑ Rn, 0 ↓ →ω ↓ 1)
  14. /24 ཭ࢄತؔ਺ 16 ͕ʢ཭ࢄʣತ <latexit sha1_base64="BK6rprTaN7Vegbpb7WGp6Wgm8f0=">AAAhI3iczRrLcty4cXbz2igvb3LMIaidcsrr2FrNSLJ3XeWUvZIdq9aS7JHl3ZKoyBgSM4JFEhSA0WNZ3L/IJ+Qrck1OuaVySVXyL+kGwBmSQ4y1SQ6ZKuLVje5Gox8AOcMs5kqvrPzjvfe/893vff8HH/xw6Uc//slPf3bjw5+/VmIiQ7YfiljIr4ZUsZinbF9zHbOvMsloMozZl8PTDYR/ec6k4iJ9pa8ydpTQccpHPKQaho5vfDJ6QIKE6pPhMD8oSKDFtDuAbjjJSKCYzn8T8HSkr4rjG92V5d5n+CMry/0V+K2XjT7pLa+YX7fjfi+OP/zVP4NIhJOEpTqMqVKHvZVMH+VUah7GrFgKJoplNDylY3YIzZQmTB3lZmUFuQkjERkJCU+qiRmtzshpotRVMgRMlFo1YTjYBjuc6NGnRzlPs4lmaWgZjSYxgfWjmkjEJQt1fAUNGkoOspLwhEoaalDmUo3NMKktIo8UylofQwG0ELGqDyudUHklo/podnKleAioSzfJU1g6T4FpSmMCODXEy4xKVVdhfqm05OkYJsM+njIKFqFhOtJ66H7kuRlSbmApSNlFKJKEplEgTnmYRI/YJaw2BT31j/IAKJTjOsm6PRzo9rp9U/crIJCkMT8PWKZ4LNIiD86pLDsteNkJtzjYAOErTFkcB/AsGcMMRcTexA8/+hTMDLBC0w++efgmAIRNBiYm2Tbg7YFViDgvacRAHKfTODuhRW6Voor8TQzCxOKCyRC8KA/GERt9kwd8lE6SQJ8wM2ksxSR7GCSPUkYqQhGQSs1GoD/iRWFFR5nL8ZruX4B8KRBWTE0HqzswlZhOtCjyaofcJI+jtxOlieJfM7AG2GcC3EaawEQSSD4+0XVaqZAJjadkXJfA7ybZMR2SlQJxZei2CnMOWku1SIrD3lF+c4mQoBzJg6FRDw7CMMQVuyO/fviZG0J1BIFkMb10IyrEqacsVXm3VxhyzBCBdtHK/xQcAHYQq7tBOonjCCJewnEPwfCZcZVu7wHZBmcVBGMIDvQfkD0Ao5pumY0UGUvv2AAH8twh4FzWqGKh2Mc4ZfUB2bC8TdSpbkarYM7iNktxisNVp6AKMiyyHCak5pZuaGu0p+WTs7wLbtXtFzUbMAMWj4B8tgUoc3Ps5tbR+9AtZ8wGyzkOUtQEE2ALRi6zGU6ve2hwt6pigRotQ2gM+RjKz00J7bFVLPTHH7ttmOpnqmOIaale8qlx5rdg3c51cfPsKqbd3Fj/LAZNjbK7WlRNx7rGsjWv67BMhbO4/4Txt2GW8CiCLJiXNlnhAz3LZrm2lDaOlspMnG+9ZksgFeCZi6SpkM/BfmreeS0+RiZH3zhdhYPpX3fFhpAx4etyrW3pdXh7+f2PfOI5Bu7I4xjQW3tABsi1gtMWgUz8Lg7XXNipGDHGHdwmXADCbPCoKcWirDmU/8uluX1rW6AFXWOZVcS5xe6CAMS5EOEjojSVkkVlAvlvVLHapoo1NxjO9LEOmcvyr2HeK9VUQb3foroddrHpjtgbbSq84PqkDDQqMb+ipsyKoktNunSB+oJU8zmcXRlNXz01OvRFjUZMM5TWi9zq/F5RdO+ZvJJ371f1P5ezW61nob04z38xO8rM8nCLcnANard+0krKFdd0kpt0ah7UibOw61tPfW0+c2jb+/Vr7vP80r+E3d6u7nbhV0S/RRFiqomt0WsaTxjuOm5heYDw2kPD2G57IYXT62qp1zVzoKlQNWQ1u9SGdVGW60XzNNO2XVOyU/TZrrUoDC4fJjHENpTmgbSNdlx1NpSIPITL4Cki20Y7Mh1bZLjjGA+RttGOHA0tsiXNME9KWbY9gvMMycINX5eVj3aWAcZri/jajziKhTBSlA1pG+3YIeN4s4pdLU3tdexduGzL6oXDOcVWmjbG27x7U0yGMavcn97p4/Mu3u0fgmkdgYm4GuwFrmwVu5jjAkq25jErFyGH4USiKqrVInzl7KlaLcKnzqSqVf1yL8Y89FwtIUWBKUaFaV2waMyKeQSz69A4Z00o3I3ZGS5KwCWenZ01wOwMEAqszwzG/Gw+QrjAF1JMu1NmkuOsAu/cUNWWssd09ZK8KNTl+JaqdMuKS0jbt5fykMrIuMxSXTJ1lUR85I6GQw6ney259dSigbpTYg3znaKxwIMZ7KAJezmDvWzCBjPYoAnbmME2mrCnM9jTJuyLGeyLuUUcYCg4OM6DMVuZExRhL9thA4QNprCGZkyA2TnOfzs37yBzDOdBLzPHbx40yBw7A6raxTbNfC9PIpFAXOgf5RgAAi0wxTXojiZpaNFWHdp5iC8n0WTN/PII1JgnmdLS0K7nnPoLm+XCpkRjf8eOfeW91G7GJFyy4XLCwQ955IOCIEWOhQceCpiOhQeuJqg+U9bDA9Wah96XTwljuuoINkg0NPFW8LSKhJFiPpA4Uv5I48iUoaYq5eN4zMBz552/vshnqKRnfiU9wViHhQf+eAISYtF6LqhGl7E5GEzzeBldynReXRkdwsUZ35N1e8fTGEeHhdcQhAQpsZgPS07LI0lP8z0vATUG4bBoEEgmsXaS/B5iGk8gZ/pobBf5tg/2u+dFDo8HugfQvecuxO7aF30e1F3IyV4yANzbdWT2F5LZL/J9LxkAwtPQBBwkWRqpitF+4tVEeAKOdeLVBURdeGrWujNJhnCAeXXChLyq2CyuhA6VTTmmx1MNecpk+bqAocgk7M/s1Qv4hdBNr4r4OY+YWYaJHLVXvTNgaqA1r+cpo/K6bqXBruFoq++a2oO0id69WT2Z1uEvIKHC44FCA4zblD7fhvnwLPniI6djCJBYejCGsQhPLZpp3l2EfM5CqOGuX+TQ9GENxEWRY+GBbwg482HRMD8tVVZxRJE1N5ZGb8UU4fZcboXTFkpljSNSea/8zIAvIszZvo7P08xlKjwfAtE7xCSiWohNaXyFL/0XHbCQlBbi2pcjxA5r2ItuRxyzbu0u9Q7aYdh686p5ejGNuSYpAYGqA82g0bxzjazOINqG0MU8Xpja3BHquFPk6BrYWYN0hh8/aeymTHstbLImn0VTq7sL16AsZpdtu1zXCJ9pZPrxasAWht8B6HhQnqm3koW4W+DlW14ffyzBObHwwOEuU+RY+II9HiCw8PqjQn9UPvgrCvOxqOluN4NUyb82X8gXh8rb4GBynKAUUMMNpjwKmkHzaSq4E4w4SXwyOgr08p0UAMUXS0V8BbEUywUYMeqybCw+7tzGfAT5RJvjbOV4jP3ph2Xzoej4Rrf86E/8jdf95d695fWXa91HT9w/Az7o/LLzUedWp9e533nUedZ50dnvhJ0/dP7U+XPnL+SP5K/kb+TvFvX999ycX3RqP/KvfwMMXwW1</latexit> f : Z !

    R [ {+1} <latexit 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() <latexit 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f(x) + f(y) f ✓ x + y 2 ⌫◆ + f ✓⇠ x + y 2 ⇡◆ <latexit 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(8x, y 2 Z) <latexit 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f(x) + f(y) f(x + 1) + f(y 1) <latexit 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(8x, y 2 Z; x < y) ཭ࢄத఺ತੑ ཭ࢄ౳ۙತੑ <latexit 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f(x) <latexit 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x + y 2 ⌫ <latexit sha1_base64="UOuRL+n53uD9pLjfvj5QZ5pgvHc=">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</latexit> ⇠ x + y 2 ⇡ Ұ࣍ݩͷ৔߹ ೋ࣍ݩҎ্ͷ৔߹ ཭ࢄ౳ۙತੑ ཭ࢄத఺ತੑ ̢ತؔ਺ -ತؔ਺ K. Murota. Discrete Convex Analysis. SIAM, 2003
  15. /24 .ತɾ̡ತؔ਺ 17 <latexit 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def () s.t. <latexit 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    f(x) + f(y) f(x ei + ej) + f(y + ei ej) <latexit 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8x, y 2 Zn, ཭ࢄ౳ۙತੑ <latexit 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y + e1 e2 <latexit 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f : Zn ! R [ {+1} ͕.ತ <latexit sha1_base64="541WBzEbgFq+CuUS+g/SSGnOitg=">AAAic3iczVpbc9u4FdZub1v3lrSP+4K1mk42k7iW7CS7mUknib1p3I3txI6TnZiuA5GQhIgkaADyJRzuP+lr+5v6Q/rec0BQvIhQtG0fyhnidj4cHByccwBQGiQhV3p9/Z+ffPqjH//kpz/77Ocrv/jlr379m2vXf/taian02ZEvQiG/G1DFQh6zI811yL5LJKPRIGRvBpMtpL85Z1JxEb/SVwk7iego5kPuUw1Np9eue0MhaRgSTjwek+P45PRad32t9zU+ZH2tvw7P3aLQJ721dfN0O/Z5cXr9i794gfCnEYu1H1KljnvriT5JqdTcD1m24k0VS6g/oSN2DMWYRkydpEb2jNyAloCAEPDGmpjWao+URkpdRQNARlSPVZOGjW2046kefnWS8jiZahb7+UDDaUi0IKgIEnDJfB1eQYH6koOsxB9TSX0N6lqpDTMQYqLpQGX11qheDxTOoN6GYmkhwkZXpSMqr2RQb425z6CD5JfZysoN8hR0wmOQJqYhAVgNe5lQqeq6TS8V9I1H0NmL6IRRMAYN3ZHXQ/uQ56ZJ2YYVL2YXvogiGgeemHA/Ch6xS1BDDArsn6QecCjadZR0e9jQ7XX7Ju9XSCBJo3/qsUTxUMRZ6p1TWVRacMmY5xgsgPCVQVkYevDihPTYFwF7Fz5c/QrsD1C+qXvfP3znAWCbge1Jtgu4QzAXEaYFjxCYY3caJmOapblSVJa+C0GYUFww6YMDpd4oYMPvU48P42nk6TEznUZSTJOHXvQoZqQiFAGpVNkC9SHPslx0lLlor+n+BcgXA2PF1KyxugIzielUiyytVsgN8jh4P1WaKP6BgTXAOhMYbagJdCSe5KOxrvOKhYxoOGNjqwSeG2TPVEhSCMSV4dsqzDloLdYiyo57J+mNFUK8oiX1BkY92AjNEFLyFfnDw69tE6rD8yQL6aVtUT52nbBYpd1eZtgxwwTKWev4E3AAWEHM7njxNAwDCHYRxzUEw2fGVbq9B2QXvFgQDC7Y0H9ADoGMarppFlIkLL5NTBHkuU3AuXKjCoViX2KXjQdkKx/bhKPqYrQKZi1uuxAnO96wCqqAYZJFMyE1t7RNO8NDLb85S7vgVt1+VrMB05DjCMiXlwAy1ydf3Dq8D9WiR9lY9LGUrCaYAFswcpnFsHo9RIO7WRUL1JgPCIUBH0H6xKRQHuWKhfroS7sMM/3MdAwxLdYrLjWWfgvWbV0XFy+fxayaGusvY9DMKLsbWdV0ctdYy81rmSFjYS3uPxn4hwwW8SCA7TEtbLIyDtTyYdZqU2kbMedSivOD55wziAV45iJpKuxTsJ+ady41jpHJ8jdOVxnB1JedsWFkTHjZUWtLuszYzvH+Rz7xHAN34HAMqG0+IAc4agXTFoFM/M6ON23YqRgxxh1cJpwA0vLgUVNKDtm0kP/Lqdl1a5tgTlpimlXg3GT3QQBiXYjwIVGaSsmCYgP5b1Sx0aaKTdvol/q4CztXPn4Nea9QUwV6v0V1e+xi2569t9pUeMH1uAg0KjJPVlNmRdGFJu12gfqCreYJHF8ZjV89NTp0RY1GTDOc7mZprvN7Wda9Z/aVtHu/qv+5PbvVehbai/X8F+VRptyHW5SDc1D79ZNWVMy4ppPUbKfmRZ1YC1veeupzc5lD29rfXXKd56f+BlZ7t7ramVsR/RZFiJkmdoavaThluOq4hMUBwmkPDWO75aRkVq8bhV43zYGmwtWw1exSm6GzIr2bNU8zbcs1YzuDl6vWojC4fJiNIcxDaerJvNCO9acSLxPhQOLBE8B5oR2szgayAE8K8MQBpqMcDBci404yL7SDg0EOzlkz3FSlLMqOWfIE2Z4zqYvMxTtJAPE6B752A4ehEEaKoiDzgkNzjBvN2Vya3BkF9uHKLqu3E+tBO3HcaG8LBdtiOghZ5bL10YAwHw+6/WOwwxOwJ5uDccH9rmJEc6OAknNbKtNFYN8aUzVbhFfWnqrZIjy1JlXN6l8CxIj7jnso7GdgikFmShcsGLFsHmBWHQrnrEmFizQ7w0kJuPGzs7MGmZ0BIMP8zCDme/Mh0gV+uGLaHkmjFHtleEGHrDaVQ6arN+pFcRE0Zxxm5sPWJWaujFdWn8rAuMxKXTJ1FQV8aM+RAw5XAS157qlZE8r0XgEcpHtZNkd+W5LftpBfluSXLeSDknzQQt4qyVst5Gcl+VkL+WlJftpC/rYkf9s28bcYQTA/Tb0RW2+bnEW8dCIOLOJghpjXb2Ixe6fpn9p4vE1KQVoBL5NSjlbAQVKKYQBVq9ulies7TiAiiDr9kxTDi6cF7rYN7sNp7OewDQs79/EDKjqE6V+cxhr9JFNaGt717a/+7Wgty3dnY92ndvjKJ7L9hEm478M9iYOX88BFBUGyFBMH3RfQHRMHXU1RgyatBx+qNfed38EixnTVzfIQ1NDEe8HjKgjj0HyYsqzcccyyKQJZVcrH4YhBXJgPLfVJPkMlPXMr6RuMpJg46I+nICEmrUeUauwamTPK7JRQxK7isFCdGR3AHR4/2XV7p7MISgdZU0VYMDizpRhLvI2J02CEhNlgMh8c7WoMJZ2kh04GagSTwKTBIJqG2kr8V4isPIKd28VjN0t3XbQ/P89SeB3UQ6AePreBfj//NumA7sPJwMkGiIf7ls3RQjZHWXrkZANEeBuagLMviwNVMe4/OjXhj8EBx05dQCiHt2bVe9NoAMeoV2Mm5FXFtnEmdKDyjc/UeKwh9hnDaBpNImF9yq9F4D9CN00r4Oc8YGYaJsLUvk6XxNhQa9GBx4zKZd0PwmGqpUsD4Bxw+japs7+B6DuLQNsYRbar5+s6/QUcC+B1UKEAzmFSVwyB/vCuuOIwpyMIxJg6EINQ+JMcZop3FoHPmQ85/wArCEUX6kBcZCkmDvqWgJMrJg3z1VIlFUcWSdMwaPBezAC35vZ2ODOiVLlxBSrtFb+s4LcXc0Op43mc2B0RT7nA9DYxG14tlMc0vMLfORYdE5GVFmLp+yCi/Rp60R2P4+5euxF+hLfvt94fa5Eim8V2s/kBg6oDltRg3jmHuc4gWvtQNTHf5P25PSKYgYMl0EmDdYI/BNPQdpnVWoZJmuMs6lpdXbjMJSG7bFvlukZ4qZHZ73UHbGH4PgAdHxQ3g51oIXYHvHzH6eOPJTgnJg463MiyFBPXZoEHFUyc/qjQH5WL/opCf0xa6bdwqgrnqurK3U9gL+YfzB8GFsdiYEHlKEIxIYeLWnEmNY3m5zrvtjfkJHJNwnKglx/lAJC69ezLgMlyefeb1iXqdOHcURMRXkGwxnQBIsTFKgqLz223cMOEDU+bc3nlnI/12Y/15se3ldNr3eIvFsRdeN1f691bu/dys/voif0fxmedzzurnZudXud+51HnWedF56jjdy46f+v8vfOPL/61+vnq6urvc+inn9g+v+vUntU7/wZHxYoy</latexit> →i ↑ [n] with <latexit sha1_base64="/VNpxustTVSzyxTYuWdxM/WQNIc=">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</latexit> xi > yi <latexit sha1_base64="s8pdGCiqkV+UPjkZsdk0nnjHODU=">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</latexit> →j ↑ [n] , with <latexit sha1_base64="3/oFrRJymlg4UTJgPr19PZsQk1o=">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</latexit> xj < yj <latexit sha1_base64="OwPx+2rAHqso3YDrqabYiPOFHHg=">AAAhJXiczRrbbty4dXZ727q3bPvYhxI7SJFNE9cztpPdACmStTeNsbGdjONkYcvraCTOmLEkyiTHlxW4v9FP6Ff0tX3qW1GgQIH+Ss8hqRlJI068bR86gHg7h+ccHp4LKc0wT5hUKyv/eO/973z3e9//wQc/XPrRj3/y05/d+PDnrySfiIjuRzzh4sthKGnCMrqvmErol7mgYTpM6Ovh6QbCX59TIRnPXqqrnB6l4ThjIxaFCoaOb/TGD0iQhupkOCwO9FcZCRSfDgw0CaJJTgJJVfGbgGUjdaWPb3RXlnuf4o+sLPdX4LdeNvqkt7xift2O+z0//vBX/wxiHk1SmqkoCaU87K3k6qgIhWJRQvVSMJE0D6PTcEwPoZmFKZVHhVmbJjdhJCYjLuDJFDGj1RlFmEp5lQ4BE6WWTRgOtsEOJ2r0yVHBsnyiaBZZRqNJQmD9qCgSM0EjlVxBI4wEA1lJdBKKMFKgzqUam2FaW0QRS5S1PoYCKM4TWR+WKg3FlYjro/nJlWQRoC7dJE9g6SwDplmYEMCpIV7moZB1FRaXUgmWjWEy7OMpDcEmFExHWg/djzwzQ9INLAUZvYh4moZZHPBTFqXxI3oJq81AT/2jIgAK5bhK824PB7q9bt/U/QoIJGnMLwKaS5bwTBfBeSjKTgtefsIsDjZA+ApTmiQBPEvGMCMe0zfJw48+ATMDrMj0g28evgkAYZOCiQm6DXh7YBU8KUoaCRDH6WGSn4S6sEqRuniTgDAJv6AiAj8qgnFMR98UARtlkzRQJ9RMGgs+yR8G6aOMkopQBKSSsxHoj5jWVnSUuRyv6f45yJcBYUnldLC6A1OJw4niuqh2yE3yOH47kYpI9jUFa4B9JsBtpAhMJIFg4xNVp5VxkYbJlIzrEvjdJDumQ/JSICYN3VZhzkFrmeKpPuwdFTeXCAnKkSIYGvXgIAxDZLE78uuHn7ohVEcQCJqEl25ERjj1lGay6Pa0IUcNEWjrVv6n4ACwg1jdDbJJksQQ81KGewiGT42rdHsPyDY4KycYQ3Cg/4DsARjVdMtsJM9pdscGOJDnDgHnskaVcEk/ximrD8iG5W2iTnUzWgVzFrdZiqMPV52CKsiwyHKYkJpbuqGt0Z4Sn58VXXCrbl/XbMAMWDwC8tkWoMzNsZtbR+9Dt5wxGyznOIiuCcbBFoxcZjOcXvfQ4G5VxQI1WobQGLIxlJ+ZEtpjq1jojz922zDVz1THENMyteRT48xvwbqd6+Lm2VVMu4Wx/lkMmhpld1VXTce6xrI1r+uwzLizuP+E8bdhlrI4hixYlDZZ4QM9y2a5tpQ2jpbKTJxvvWZLIOPgmYukqZAvwH5q3nktPkYmR984XYWD6V93xYaQMeHrcq1t6XV4e/n9j3ziGQbu2OMY0Ft7QAbItYLTFoFM/NaHay7sVIwY4w5uEy4AYTZ41JRiUdYcyv/l0ty+tS3Qgq6xzCri3GJ3QQDiXIiwEZEqFILGZQL5b1Sx2qaKNTcYzfSxDpnL8q9h3ivVVEG936K6HXqx6Y7YG20qvGDqpAw0MjU/XVNmRdGlJl26QH1BqvkMzq40zF4+MTr0RY1GTDOU1nVhdX5P6+49k1eK7v2q/udydqv1LLQX5/nPZ0eZWR5uUQ6uQe7WT1ppueKaTgqTTs2DOnEWdn3rqa/NZw5te79+zX2eX/pr2O3t6m5rvyL6LYrgU01sjV6FyYTiruMWlgcIrz00jO22F6KdXldLva6ZA02FqiGr6KUyrHVZruvmaaZtu6Zkp+izXWtRGFw+TGJIbCgtAmEb7bjybCgQeQiXwVNEto125HBskeGOYzxE2EY7cjy0yJY0xTwpRNn2CM5yJAt3fFVWPtp5DhivLOIrP+Io4dxIUTaEbbRjR5ThzSpxtTC117F34bItqhcO5xRbWdYYb/PuTT4ZJrRyf3qnj8+7eLd/CKZ1BCbiarAXuLJV7GKOCyjZmsesXIQcRROBqqhWi/Cls6dqtQg/dCZVreqXez5mkedqCSkKTDHWpnVB4zHV8whm16FxTptQuBvTM1wUh0s8PTtrgOkZIGiszwzG/Gw2QjjHV1JUuVNmWuAsjXduqGpL2aOqekleFOoKfEtVumXFJYTt20t5FIrYuMxSXTJ5lcZs5I6GQwaneyWY9VTdQN0psYbFjm4s8GAGO2jCXsxgL5qwwQw2aMI2ZrCNJuzJDPakCftiBvtibhEHGAoOjotgTFfmBEXYi3bYAGGDKayhGRNgdo6L383NO8gdw3nQi9zxmwcNcsfOgKp2sR3mvpcnMU8hLvSPCgwAgeKY4hp0R5MssmirDu08wpeTaLJmfnkEaswTVCphaNdzTv2FzbK2KdHY37FjX3kvtZtTAZdsuJww8EMW+6AgiC6w8MAjDtOx8MDlBNVnynp4CJVikfflU0qpqjqCDRINTbzlLKsiYaSYDySOlD/SODJlqKlK+TgZU/DceeevL/IpKumpX0mfY6zDwgN/PAEJsWg9F1Sjy9gcDKZ5vIwuZTqvriwcwsUZ35N1e8fTGBcOtdcQuAApsZgPS07LIxGeFnteAnIMwmHRIJBOEuUk+QpiGkshZ/pobOti2wf7/TNdwOOB7gF075kLsbv2RZ8HdRdyspcMAPd2HZn9hWT2dbHvJQNAeBqagIMkzWJZMdrfejURnYBjnXh1AVEXnpq17kzSIRxgXp5QLq4qNosrCYfSphzTY5mCPGWyfF3AiOcC9mf26gX8gqumV8XsnMXULMNEjtqr3hkwM9Ca17OMhuK6bqXAruFoq+6a2oO0id69WT2Z1uHPIaHC44FCA4zblD7fhvnwLPniIwvHECCx9GAMEx6dWjTTvLsI+ZxGUMNdXxfQ9GEN+IUusPDANzic+bBomJ8SMq84Is+bGxvGb/kU4fZcboXTFkpljSOWRa/8zIAvIszZvo7PstxlKjwfAtE7xCSiWojNwuQKX/ovOmAhKcX5tS9HiB3VsBfdjhhm3dpd6h20o6j15lXzdD2NuSYpAYGqA82g8bxzjazOINpG0MU8rk1t7gh13ClyfA3svEE6x4+fYeKmTHstbPImn0VTq7sL16A8oZdtu1zXCJtpZPrxakAXht8B6HhQnqm30oW4W+DlW14ffyzAObHwwOEuowssfMEeDxBYeP1Roj9KH/xlCPOxqOluN4dUyb4238gXh8rb4GBinKIUUMMNpjwKmkHzaSq4E4wYSX0yOgrh5TspAIovlvLkCmIplgswEtRl2Vh83LmN+QjyiTLH2crxGPvTD8vmQ9HxjW750Z/4G6/6y717y+sv1rqPNt0/Az7o/LLzUedWp9e533nUedp53tnvRJ0/dP7U+XPnL+SP5K/kb+TvFvX999ycX3RqP/KvfwPOTwaV</latexit> g : Zn ! R [ {+1} ̡͕㽇ತ ཭ࢄத఺ತੑ <latexit 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g(p) + g(q) g ✓ p + q 2 ⌫◆ + g ✓⇠ p + q 2 ⇡◆ <latexit 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(8p, q 2 Zn) ཁૉ͝ͱͷ ੾Γࣺͯ ੾Γ্͛ <latexit sha1_base64="xBWpQw76U1GD+Gr0UkSym+tMN18=">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</latexit> def () <latexit sha1_base64="2uO0H3fKVlAUikZVlKlWbkFzm1w=">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</latexit> p + q 2 ⌫ <latexit sha1_base64="RvM0o83lWJ5TgBJEl2OkWjmZVXs=">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</latexit> ⇠ p + q 2 ⇡ <latexit 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p <latexit sha1_base64="l0QwH2nFTwP939loixFjDcUXS9U=">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</latexit> q
  16. /24 ཭ࢄತؔ਺ͷੑ࣭ 18 ತ֦ுՄೳੑ .ತ -ತ ࿨ .ತͰ͸ͳ͍ ʢ.ತʣ ߹੒ੵ

    .ತ -ತ ڞ໾ ૒ڞ໾ੑ <latexit sha1_base64="9j1oNmfvgaZ7DKmros/fOPaDtjU=">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</latexit> (f1 + f2)(x) := f1(x) + f2(x) (x 2 Zn) <latexit sha1_base64="Ntn+KjnCocamS3ahhEZV+o/yMoM=">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</latexit> (f1 ⇤ f2)(x) := min y2Zn {f1(y) + f2(x y)} (x 2 Zn) -ತ .ತ <latexit sha1_base64="sjI5sWUs0T7zKttWQclu0OWo+SI=">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</latexit> f•(p) := max x2Zn {hp, xi f(x)} (p 2 Zn) <latexit sha1_base64="VklnoFnM1oRPvPs3b9WPl9gVolY=">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</latexit> f••(x) = f(x) (x 2 Zn) -ತͰ͸ͳ͍ ʢ-ತʣ ̋ ̋ ̋ ̋
  17. /24 ʹର͠ɼɹɹɹɹɹ͕ہॴత࠷ద⟺େҬత࠷ద ࠷దੑ৚݅ 19 .ತؔ਺ɹ <latexit sha1_base64="DW4Qeb/glKmKMy7lDiVWPynfvKc=">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</latexit> x 2 dom

    f <latexit sha1_base64="kqgGhZjaeXO9DIBgOCM8Dzfb3SI=">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</latexit> f : Zn ! R [ {+1} ʹର͠ɼɹɹɹɹɹ͕ہॴత࠷ద⟺େҬత࠷ద ʮہॴత࠷దʯͱ͸ʁ ̡ತؔ਺ɹ <latexit sha1_base64="OwPx+2rAHqso3YDrqabYiPOFHHg=">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</latexit> g : Zn ! R [ {+1} ఆཧ <latexit sha1_base64="0fhcIAggFk49GVunI5kFD5Yng9M=">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</latexit> f(x)  f(x + ei ej) <latexit sha1_base64="0cy+C5Oq96PRJTkM/I5AKlLcvHM=">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</latexit> (8i, j 2 [n]) .ತ ʜଟ߲ࣜݸɽ શ෦νΣοΫͰ͖Δ㾎 -㽇ತ ͔͠͠ɼྼϞδϡϥؔ਺ ࠷খԽΞϧΰϦζϜʹΑΓ ଟ߲ࣜ࣌ؒͰ֬ೝͰ͖Δʂ ʜࢦ਺ݸʘ ?P? ʗ
  18. /24 ཭ࢄ࠷ٸ߱Լ๏ 20 while not converged: if is locally optimal

    return <latexit sha1_base64="IE6Fvw2UnD5B2g/v0ERdX6KEq04=">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</latexit> x x 2 dom f <latexit sha1_base64="G/1LRCjB/VJ7+Mu18xcwSnHzc5Q=">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</latexit> O(n2 ) evals <latexit sha1_base64="k1uLeEp7zJczzBGLO8PJmkj9kqM=">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</latexit> x Move to a locally optimal point <latexit 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x <latexit 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x⇤ = x while not converged: if is locally optimal return ྼϞ࠷খԽ Move to a locally optimal point <latexit 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p p 2 dom g <latexit 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p <latexit sha1_base64="EWf0eTUM6lBmKccJTHc+E7+GZF4=">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</latexit> p⇤ = p <latexit 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p ཭ࢄ࠷ٸ߱Լ๏͸ɼॳظ఺͔Β࠷΋ʮ͍ۙʯ࠷దղʹ࠷୹ܦ࿏ͰͨͲΓண͘ ఆཧ [Murota–Shioura ’14, Minamikawa–Shioura ’21] ൓෮ճ਺ ൓෮ճ਺ <latexit sha1_base64="8eoHnDeILMqT7RTsxiN8Iw6J7vo=">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</latexit> → ↑x→ ↓ x↑↑ 1
  19. /24 ϋϯΨϦΞϯ๏͸̡ತؔ਺ʹର͢Δ཭ࢄ࠷ٸ߱Լ๏ʂ 21 <latexit sha1_base64="b2Uu+U8EsttbO0AhyvoSK0F59fI=">AAACEHicbZC7TsMwFIYdrqXcAowsFhWChSpBqDBWsDAwFEQvUhNFjuu0bh0nsh2kKsojsPAqLAwgxMrIxtvgphmg5Zcs/frOOTo+vx8zKpVlfRsLi0vLK6ultfL6xubWtrmz25JRIjBp4ohFouMjSRjlpKmoYqQTC4JCn5G2P7qa1NsPREga8Xs1jokboj6nAcVIaeSZR45MQi+l0KEc3mRQehSewCkc5vAug8obembFqlq54LyxC1MBhRqe+eX0IpyEhCvMkJRd24qVmyKhKGYkKzuJJDHCI9QnXW05Col00/ygDB5q0oNBJPTjCub090SKQinHoa87Q6QGcrY2gf/VuokKLtyU8jhRhOPpoiBhUEVwkg7sUUGwYmNtEBZU/xXiARIIK51hWYdgz548b1qnVbtWrd2eVeqXRRwlsA8OwDGwwTmog2vQAE2AwSN4Bq/gzXgyXox342PaumAUM3vgj4zPH7zwm8g=</latexit> i→L si → j→R tj

    min <latexit sha1_base64="kxGI6ZJ9pXfxzsSNeDqsyAl+16c=">AAAB/XicbVDLSsNAFL2pr1pf8bFzM1gEN5ZEpLosunFZwT6gDWEynbTTTiZhZqLUUPwVNy4Ucet/uPNvnD4W2nrgwuGce7n3niDhTGnH+bZyS8srq2v59cLG5tb2jr27V1dxKgmtkZjHshlgRTkTtKaZ5rSZSIqjgNNGMLge+417KhWLxZ0eJtSLcFewkBGsjeTbB8pn6BRpv4/aXYoe/Iz1R75ddErOBGiRuDNShBmqvv3V7sQkjajQhGOlWq6TaC/DUjPC6ajQThVNMBngLm0ZKnBElZdNrh+hY6N0UBhLU0Kjifp7IsORUsMoMJ0R1j01743F/7xWqsNLL2MiSTUVZLooTDnSMRpHgTpMUqL50BBMJDO3ItLDEhNtAiuYENz5lxdJ/azklkvl2/Ni5WoWRx4O4QhOwIULqMANVKEGBB7hGV7hzXqyXqx362PamrNmM/vwB9bnDykzlGw=</latexit> si → tj ↑ wij <latexit sha1_base64="1JnYrTvqop9iG7L77XasGfU1Txc=">AAAB9HicbVBNS8NAEJ3Ur1q/qh69LBahBSlJkeqxKILHCvYD2lA22027drOJu5tCCf0dXjwo4tUf481/47bNQVsfDDzem2FmnhdxprRtf1uZtfWNza3sdm5nd2//IH941FRhLAltkJCHsu1hRTkTtKGZ5rQdSYoDj9OWN7qZ+a0xlYqF4kFPIuoGeCCYzwjWRnKLRXb+WEJdJtBtqZcv2GV7DrRKnJQUIEW9l//q9kMSB1RowrFSHceOtJtgqRnhdJrrxopGmIzwgHYMFTigyk3mR0/RmVH6yA+lKaHRXP09keBAqUngmc4A66Fa9mbif14n1v6VmzARxZoKsljkxxzpEM0SQH0mKdF8YggmkplbERliiYk2OeVMCM7yy6ukWSk71XL1/qJQu07jyMIJnEIRHLiEGtxBHRpA4Ame4RXerLH1Yr1bH4vWjJXOHMMfWJ8/FhiQYA==</latexit> ((i, j) → E) s.t. ૒ର໰୊ while not converged: if is locally optimal return Move to a locally optimal point <latexit sha1_base64="19Vkn5+/JWLGi7hVErKqinJf0C0=">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</latexit> p p 2 dom g <latexit 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p <latexit sha1_base64="EWf0eTUM6lBmKccJTHc+E7+GZF4=">AAAiOXiczVpLc9y4EZ7dvDaTx3qTY3Kgdsopr8tWNJJsb1yllL3SOlat9bBk2VsWtTKGxIzgIQkKwOhhFrfyF3JNfkp+SY65pXLNH0g3AA4fQ4xnkxwyVQRB9IdGd6O7AZAzSCMm1crK3z748Hvf/8EPf/TRj7s/+enPfv7xjU9+8VLyiQjoUcAjLr4eEEkjltAjxVREv04FJfEgoq8G402kv7qgQjKevFDXKT2JyShhQxYQBU2v0m9uexteenqjt7K8on/ebKVvK72O/e2ffrL0az/kwSSmiQoiIuVxfyVVJxkRigURzbv+RNKUBGMyosdQTUhM5Umm5c29m9ASekMu4EqUp1urPTISS3kdDwAZE3UmmzRsbKMdT9Tw85OMJelE0SQwAw0nkae4h8p7IRM0UNE1VEggGMjqBWdEkECBibq1YQZxTYkslChrvQ0FUJxHst4sVUzEtQjzbvem9wS0ZAnwT0jkAaiGvEqJkHVrZVdSCZaMoLMfkzElMKUKuiOvDfvznukmaRu6fkIvAx7HJAl9PmZBHD6iV6BYAiZZPcl84FC0qzjt9bGh1++t6vtqhQSSNPpnPk0li3iSZ/4FEcVDCy49YwaDFRC+MiiNIh8uVEidBTykb6KNTz8HjwJUoJ/9bzfe+ADYouBNgu4A7hAcgEdZwSMC5tidROkZyTNjFJlnbyIQJuKXVAQQBpk/Cunw28xnw2QS++qM6k4jwSfphh8/SqhXEcoDqWTZAs9DludGdJS5aK/Zfh/kS4CxpHLaWJ2BqcRkonieVR+8m97j8O1EKk+ydxS8AebZg9GGyoOOni/Y6EzVeSVcxCSasrGPHvxuerv6wUsLgZjUfFuFuQCrJYrH+XH/JLvZ9Ty/aMn8gTYPNkIzJAYzI7/Z+J1tQnP4vqARubItMsCuY5rIrNfPNTuqmUA9bx1/DAEAM4i3u34yiaIQUlbMcA7B8akOlV7/obcDcck9TBfYsPrQOwQymumWnkie0uSOp6sgzx0Pgss4VcQl/Qy7rD30Ns3YOsFUJ6NVMOtxW4U4+fGaNVAFDEoWzZ5XC0vbtD08VOLL86wHYdVbzWs+oBsMzgP5TA0gM33M5Nbhq/BY9Cgbiz6WktcE4+ALWi49Gdauh+hwt6pigRnNgFAZsBGUX+gS6iNjWHgefWanYWqfqY0hpyWq6zJjGbfg3TZ0cfKMFtPHTHt/mYOmTtlby6uuY0Jj2bjXIkMm3HrcfzLwdxksZmEIC15W+GRlHHgywyzXVGkb0XApxfnOOhsGCYfInCdNhX0G/lOLzoXG0TJZ/jroKiPo50U11oy0Cy86am1KFxnbOd7/KCaeYeIOHYEBT+sPvQMctYJpy0A6f+fH6zbtVJwY8w5OEyqANJM8akYxkHUL+b9Uzc5bm4KGtICaVeCMsnsggGdDyGNDTyoiBA2LBeS/McVamynWbWNQ2uMerFxm/BryfmGmCvRBi+l26eWW3U1vtpnwkqmzItHIWP/ymjErhi4saZcLtBcsNV/ANpWS5MUTbUNX1mjkNM3pXp4Zm9/P8959va5kvQdV+8+s2a3eM9dfbOTvl1uZch1uMQ7qIPfqO6240Lhmk0wvp/pCm1gPW9x76rq53KFt7u8tOM+zqr+C2d6pznbuNsRqiyH41BLbw5ckmlCcdZzCYgPh9IeGs912UnJr17XCrut6Q1PhqtkqeqX00HlR3subu5m26ZqyncLLWWsxGBw+9MIQmVSa+cJU2rHBROBhIhoI3HgC2FTawfJ8IArwuACPHWAyMmA4EOlwEqbSDg4HBmxYU1xUhSjqDi1ZimzhPK+Km4t3mgLipQG+dAOHEedaiqIiTMVhOcq05exd6LszC+zBIVxUTyc2graTpNHelgq2+GQQ0cph670JYTYf9FaPwQ9PwJ/sHZwLzncVJ5oZBYxsfKks54ED60zV2zy8tP5Uvc3DE+tS1Vv9TQAfscBxDoX1DFwxzHXtkoYjms8C9KxD5YI2qXCQpueoFIcTPz0/b5DpOQByvJ9rxGxvNkQ6x9dPVNktaZxhrxwP6HCrqXJIVfVEPS8vguV0wExj2IbENJTxyBoQEeqQ6dYlk9dxyIZ2HzlgcBRQgplIzZtQqnYL4CDbzfMZ8uuS/LqF/LwkP28hH5TkgxbyZknebCE/LclPW8hPSvKTFvJXJfmrNsVfYwbB+2nmj+hKm3IW8dyJOLCIgyli1r6pxeyeZr9v4/E6LQVpBTxPSzlaAQdpKYYGVL1uh6Su9zghjyHrrJ5kmF58xXG1bXAfTpLAwNYs7CLAV6IYELp/sRtr9BNUKqF515e/+ruj5dysztq7T+3wlVdkeykVcN6HcxKDKIfLQQVB8gwLBz3g0B0LB11O0IK6rCcfohQLnO/BYkpVNcxMCmpY4i1nSRWEeWg2TVlW7jxm2RSJrCrl42hEIS/Mppa6kk/RSE/dRvoSMykWDvrjCUiIResWpZq7RnqPMt0lFLmr2CxUNSMDOMPjK7te/3SaQckgb5oIKxqnlxTtiXewcDoMF6AN1++om8nRzsZQkHF26GQgR6AEFg0G8SRSVuJvILOyGFZuF4+dPNtx0f7wLM/gclAPgXr4zCb6PfNu0gHdg52Bkw0QD/csm6O5bI7y7MjJBohwNSwBe1+ahLLi3L91WiI4gwA8c9oCUjlcNa/encQD2Ea9OKNcXFd8GzUhA2kWPv3EEgW5TztG02lSAfNTvi2C+OGq6Vohu2Ah1WroDFN7O10SE02tZQeWUCIWDT9Ih5kSLgtAcMDuW5fO/hqi7s4DbWEW2arur+v0fdgWwOWgQgWCQ5euHAL94eq68jAjI0jEWDoQg4gHYwPT1bvzwBc0gDt7BzMIVRfqgF/mGRYO+iaHnSsWDfdVQqaVQOZp0zFI+JZPAbdn1nbYM6JUxrlCmfWLLyv47kWfUOp4lqR2RcRdLjC94+kFr5bKExJd43eOedtEZKU4X/g8iOighp53xmO4utdOhO/hHQSt58dapsinuV0vfsCgGoAlNZwNzqGxGWTrAB51ztf31Zk1IpyCwwXQaYN1ip92SWS7TJ9ahkmb48zrWp1dOMylEb1qm+W6RVhpken3ugM6N30fgI0PipPBdjwXuw1Rvu2M8ccCghMLBx1OZHmGhWuxwI0KFs54lBiP0kV/QaA/Fq3026iqRF1l3bh7KazF7J3+7D8/FwMLIkYxigl3OKgVe1LdqD/X+Xf8IfNilxKWA7l6LweA1L1nT4RUlNO71/QuXqdz54qa8ugakjWWcxARTlZRmb9vu40LJix4Su/LK/t8fJ5+rNcf37qnN3r95r8nZisvV5f795fXn6/3Hj35o/lnxUedX3U+7dzq9DsPOo86Tzv7naNO0Bl3/tT5c+cvS39d+vvSP5b+aaAffmD/jfHLTu239K9/A/4Gdj4=</latexit> p⇤ = p <latexit sha1_base64="XMGI4G6eIVJB5P3pkephGVJGW10=">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</latexit> p ࠷খ௖఺ඃ෴ɹɹɹΛݟ͚ͭΔ ॳظ࣮ߦՄೳղɹɹɹɹɹɹɹɹΛઃఆ <latexit sha1_base64="g2838bO9k2dFo9hwZu2tYL61PjI=">AAACDHicbVDLSgMxFM34rPVVdekmWIQKUmZEqhuh6MaFiyr2gZ2xZNK0Dc1kQpIRyjAf4MZfceNCEbd+gDv/xkw7C209EDiccy659/iCUaVt+9uam19YXFrOreRX19Y3Ngtb2w0VRhKTOg5ZKFs+UoRRTuqaakZaQhIU+Iw0/eFF6jcfiFQ05Ld6JIgXoD6nPYqRNlKnUBTwDJbUoT6ALuXQDZAe+H58l9zHV9DFkYA3iUnZZXsMOEucjBRBhlqn8OV2QxwFhGvMkFJtxxbai5HUFDOS5N1IEYHwEPVJ21COAqK8eHxMAveN0oW9UJrHNRyrvydiFCg1CnyTTJdV014q/ue1I9079WLKRaQJx5OPehGDOoRpM7BLJcGajQxBWFKzK8QDJBHWpr+8KcGZPnmWNI7KTqVcuT4uVs+zOnJgF+yBEnDACaiCS1ADdYDBI3gGr+DNerJerHfrYxKds7KZHfAH1ucPFfeZzA==</latexit> p = (s, t) → ZL→R λΠτ෦෼άϥϑɹɹɹɹɹɹɹɹͷ <latexit sha1_base64="yFkbL66fY5N8tf9Vo5D1a8H5XDQ=">AAAB/nicbVDJSgNBEK1xjXEbFU9eGoMQg4QZkehFCIrowUMUs0A2ejo9SZOehe4eIQwBf8WLB0W8+h3e/Bs7yRw08UHB470qquo5IWdSWda3MTe/sLi0nFpJr66tb2yaW9sVGUSC0DIJeCBqDpaUM5+WFVOc1kJBsedwWnX6lyO/+kiFZIH/oAYhbXq46zOXEay01DZ3r1s5dI6yt6hBohDdH6GrVu6wbWasvDUGmiV2QjKQoNQ2vxqdgEQe9RXhWMq6bYWqGWOhGOF0mG5EkoaY9HGX1jX1sUdlMx6fP0QHWukgNxC6fIXG6u+JGHtSDjxHd3pY9eS0NxL/8+qRcs+aMfPDSFGfTBa5EUcqQKMsUIcJShQfaIKJYPpWRHpYYKJ0Ymkdgj398iypHOftQr5wd5IpXiRxpGAP9iELNpxCEW6gBGUgEMMzvMKb8WS8GO/Gx6R1zkhmduAPjM8frU2SwA==</latexit> G→ = (L → R, E→) <latexit sha1_base64="HJxQLG0OVgH9yfbkb6exOv5hWDQ=">AAAB7XicbVBNSwMxEJ2tX7V+VT16CRahgpRdkeqx6MVjxX5Bu5Rsmm1js8mSZIWy9D948aCIV/+PN/+NabsHrT4YeLw3w8y8IOZMG9f9cnIrq2vrG/nNwtb2zu5ecf+gpWWiCG0SyaXqBFhTzgRtGmY47cSK4ijgtB2Mb2Z++5EqzaRomElM/QgPBQsZwcZKrfL9GWqc9oslt+LOgf4SLyMlyFDvFz97A0mSiApDONa667mx8VOsDCOcTgu9RNMYkzEe0q6lAkdU++n82ik6scoAhVLZEgbN1Z8TKY60nkSB7YywGellbyb+53UTE175KRNxYqggi0VhwpGRaPY6GjBFieETSzBRzN6KyAgrTIwNqGBD8JZf/kta5xWvWqneXZRq11kceTiCYyiDB5dQg1uoQxMIPMATvMCrI51n5815X7TmnGzmEH7B+fgG2s2OBQ==</latexit> (S, T) <latexit sha1_base64="hYzD/EWV8+mX4TjiR2gRTSGtbr0=">AAACDnicbVDLSsNAFJ34rPEVHzs3g0UQhJKIVJdFNy4r2gc0IUymk3bozCTMTIQa+g9+glv9AHfi1l9w7Y84bbOwrQcuHM65l3M5Ucqo0q77bS0tr6yurZc27M2t7Z1dZ2+/qZJMYtLACUtkO0KKMCpIQ1PNSDuVBPGIkVY0uBn7rUciFU3Egx6mJOCoJ2hMMdJGCp1DBf0e0QoqeAb9iOfeKLwPnbJbcSeAi8QrSBkUqIfOj99NcMaJ0JghpTqem+ogR1JTzMjI9jNFUoQHqEc6hgrEiQryyfcjeGKULowTaUZoOFH/XuSIKzXkkdnkSPfVvDcW//M6mY6vgpyKNNNE4GlQnDGoEziuAnapJFizoSEIS2p+hbiPJMLaFGbPxER8ZJtWvPkOFknzvOJVK9W7i3LtuuinBI7AMTgFHrgENXAL6qABMHgCL+AVvFnP1rv1YX1OV5es4uYAzMD6+gXboZra</latexit> s → s + 1S <latexit sha1_base64="uHodfKaNkrwGx2zzHrSnQctG6CE=">AAACHHicbVDLSgNBEJyNrxhfUY9eBoMgCGFXRD2KXjxGSVTIhjA76cQhM7PLTK8Qlr37FX6CV/0Ab+JV8OyPOHkcNLGgoajqprsrSqSw6PtfXmFufmFxqbhcWlldW98ob27d2Dg1HBo8lrG5i5gFKTQ0UKCEu8QAU5GE26h/MfRvH8BYEes6DhJoKdbTois4Qye1y7tIwx6gpUgPaBipLMjb2TUNLaASOrW0nrfLFb/qj0BnSTAhFTJBrV3+DjsxTxVo5JJZ2wz8BFsZMyi4hLwUphYSxvusB01HNVNgW9nol5zuOaVDu7FxpZGO1N8TGVPWDlTkOhXDezvtDcX/vGaK3dNWJnSSImg+XtRNJcWYDoOhHWGAoxw4wrgR7lbK75lhHF18pT9rIpWXXCrBdAaz5OawGhxXj6+OKmfnk3yKZIfskn0SkBNyRi5JjTQIJ4/kmbyQV+/Je/PevY9xa8GbzGyTP/A+fwDovKDH</latexit> t → t + 1R\T ͷ׬શϚονϯάΛҰͭग़ྗ <latexit sha1_base64="V2tqoTRDO+4jPj6TqTVVxmoPLAg=">AAAB6nicbVDLSgNBEOz1GeMr6tHLYBDEQ9gViR6DHvQY0TwgWcPsZDYZMju7zPQKYcknePGgiFe/yJt/4+Rx0MSChqKqm+6uIJHCoOt+O0vLK6tr67mN/ObW9s5uYW+/buJUM15jsYx1M6CGS6F4DQVK3kw0p1EgeSMYXI/9xhPXRsTqAYcJ9yPaUyIUjKKV7m8eTzuFoltyJyCLxJuRIsxQ7RS+2t2YpRFXyCQ1puW5CfoZ1SiY5KN8OzU8oWxAe7xlqaIRN342OXVEjq3SJWGsbSkkE/X3REYjY4ZRYDsjin0z743F/7xWiuGlnwmVpMgVmy4KU0kwJuO/SVdozlAOLaFMC3srYX2qKUObTt6G4M2/vEjqZyWvXCrfnRcrV7M4cnAIR3ACHlxABW6hCjVg0INneIU3RzovzrvzMW1dcmYzB/AHzucPuGyNcg==</latexit> G→ while true if
  20. /24 ༧ଌ͖ͭ཭ࢄತؔ਺࠷খԽ 24 while not converged: if is locally optimal

    return <latexit sha1_base64="IE6Fvw2UnD5B2g/v0ERdX6KEq04=">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</latexit> x x 2 dom f <latexit sha1_base64="G/1LRCjB/VJ7+Mu18xcwSnHzc5Q=">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</latexit> O(n2 ) evals <latexit 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x Move to a locally optimal point <latexit 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x <latexit 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x⇤ = x while not converged: if is locally optimal return Submodular minimization Move to a locally optimal point <latexit 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p <latexit sha1_base64="EWf0eTUM6lBmKccJTHc+E7+GZF4=">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</latexit> p⇤ = p <latexit sha1_base64="XMGI4G6eIVJB5P3pkephGVJGW10=">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</latexit> p ཭ࢄ࠷ٸ߱Լ๏͸ɼॳظ఺͔Β࠷΋ʮ͍ۙʯ࠷దղʹ࠷୹࿏ͰͨͲΓண͘ ఆཧ [Murota–Shioura ’14, Minamikawa–Shioura ’21] ༧ଌ͕࣮ߦෆՄೳɹɹɹɹɹɹɹɹɹɹͳ৔߹͸ɼ࣮ߦՄೳྖҬʹࣹӨ͢Δʢଟ߲ࣜ࣌ؒʣ ࠷దղʢू߹ʣʹ͍ۙ఺ɹɹΛ༧ଌͯ͠ɼ͔ͦ͜Β཭ࢄ࠷ٸ߱Լ๏Λελʔτ ༧ଌ͖ͭ཭ࢄತؔ਺࠷খԽ [O.–Sakaue, NeurIPS ’23] [Sakaue-O., NeurIPS ’22, ICML ’23] ΦϯϥΠϯತ࠷దԽ໰୊ͷղͱͯ͠ɼ༧ଌΛϦάϨοτอূ͖ͭͰஞ࣍తʹߏ੒Ͱ͖Δ
  21. ͸ શҬ໦ͷಛੑϕΫτϧʣ <latexit sha1_base64="izmekvLZpw+Fpy+12Ezng4WxA58=">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</latexit> f(x) = n X i=1 fi(xi)

    ͸ M㽇ತ͔ͭ L㽇ತ <latexit 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(x 2 Zn) <latexit 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f1, . . . , fn ɿҰ࣍ݩ཭ࢄತؔ਺ <latexit 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<latexit 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෼཭ತؔ਺ શҬ໦ <latexit sha1_base64="Xg2++AjIZwEUr1QXcutbKKZful8=">AAAg/niczRnLcty4cXbz2iiP9SbHHILaKaVsl61oRrK96yql5JXstWqttyVvWVRkDImZgUUSFIjRY1ncpPIRuWZzyS2Va/4i51TlY9INgDMkhxjPJjmEVcSrG92NRj8AspeEPFXLy/987/3vfPd73//BBz9c+NGPf/LTD2999LPjVIykz458EQr5ZY+mLOQxO1JchezLRDIa9UL2qne+gfBXl0ymXMQv1U3CTiM6iHmf+1TBkPc5WSO3j++Rk/j0ztmt9vJS51N8yPJSdxmeB0WjSzpLy/ppry+e/+F3f/7mH3tnH/3yX14g/FHEYuWHNE1POsuJOs2oVNwPWb7gjVKWUP+cDtgJNGMasfQ000LnZBFGAtIXEt5YET1anpHRKE1voh5gRlQN0zoMB5tgJyPV/+Q043EyUiz2DaP+KCRKENQACbhkvgpvoEF9yUFW4g+ppL4CPS1U2PSiyiKyIEVZq2MogBIiTKvDqYqovJFBdTQZ3qTcB9SFRfIMls5jYBrTkABOBfE6oTKtqjC7TpXk8QAmexE9ZxQ2W8F0pLVmH/JCD6V2YMGL2ZUvoojGgSfOuR8F6+waVhuDnrqnmQcUinEVJe0ODrQ77a6uuyUQSFKbn3ksSXko4jzzLqksOg14yZAbHGyA8CWmLAw9eHFBauiLgL0J1z7+BMwMsHzd975ee+MBwiYDE5NsG/AOwSpEmBU0QiCO02mYDGmeGaWkefYmBGFCccWkDw6SeYOA9b/OPN6PR5GnhkxPGkgxSta8aD1mpCQUAanSyQj0+zzPjegoczFe0f0eyBcD4ZSl48HyDowlpiMl8qzcIYvkSfB2lCqS8q8YWAPsMwFufUVgIvEkHwxVlVYsZETDMRnbJfAskh3dIUkhEE813UZhLkFrsRJRftI5zRYXCPGKkczrafXgIAxDyDA78qu1T+0QqsPzJAvptR1JfZx6zuI0a3dyTY5pItDOG/mfgwPADmJ134tHYRhAMIs47iEYPtOu0u48JtvgrIJgDMGB7mNyCGBU0229kSJh8T2imyDPPQLOZYwqFCm7g1NWHpMNw1tHnfJmNApmLW6zECc/WbEKKiHDIothQipuaYe2+odKPr3I2uBW7W5esQE9YPAIyGdagDI1x2xuFb0L3WLGZLCYYyF5RTABtqDl0pth9XqIBne7LBao0TCERo8PoPxMl9AeGMVCf3DHbsNYP2MdQ0yL1YJLjRO/Beu2roubZ1Yx7mba+icxaGyU7ZW8bDrGNZaMec3DMhbW4v4Txt+GWcSDALJgVthkiQ/0DJulylKaOBoqE3G+9ZoNgViAZ86SpkQ+A/upeOdcfLRMlr52uhIH3Z93xZqQNuF5uVa2dB7eTn7/I594gYE7cDgG9FYfkwPkWsJpikA6fucnqzbslIwY4w5uEy4AYSZ4VJRiUFYtyv/l0uy+NS3QgOZYZhlxarG7IACxLkR4n6SKSsmCIoH8N6pYaVLFqh30J/p4AJnL8K9gPizUVEJ91KC6HXa1aY/YG00qvOJqWASaNNJPXlFmSdGFJm26QH1BqvkMzq6Mxi+faR26okYtpmlKD/LM6Pxhnrcf6ryStR+V9T+VsxutZ6a9WM/fmxxlJnm4QTm4hnS3etKKihVXdJLpdKpf1Im1sPmtp7o2lzk07f2DOfd5eumvYLe3y7uduxXRbVCEGGtiq39MwxHDXcctLA4QTnuoGdtdJyS3el0p9LqqDzQlqpqsYtdKs86L8kFeP800bdeY7Bh9smsNCoPLh04MoQmlmSdNoxk3vehJRO7BZfAckU2jGZkODDLccbSHSNNoRg56BtmQZpgnpSzaDsF5gmTh8q6KykU7SQDj2CAeuxH7oRBaiqIhTaMZ22ccb1ahraWunY69C5dtWb5wWKfYiuPaeJN3b4pRL2Sl+9M7fXzaxdvdEzCtUzARW4O9wJWtZBdTXEDJxjwm5Sxk3x9JVEW5moWfWnsqV7PwqTWpclW93IsB9x1XS0hRYIpBrltXLBiwfBpB7zo0LlkdCndjdoGLEnCJZxcXNTC7AIQc6wuNMT2b9xEu8FsTU/aUGWU4K8c7N1SVpRwyVb4kzwp1oDntMNp3Si4hTd9cyn0qA+0yC1XJ0pso4H17NOxxON0ryY2n5jXUnQKrl+3ktQW+nsBe12H7E9h+HXYwgR3UYRsT2EYd9mwCe1aHfTGBfTG1iNcYCl6fZd6ALU8JirD9ZtgBwg7GsJpmdIDZOct+MzXvdWIZToP2E8tvGnSQWHYaVLaLbZq4Pp4EIoK40D3NMAB4SmCKq9Htj2LfoK1YtEsfP06iyer5xRGoNk+yVElNu5pzqh9slnKTErX9nVn2pe9SuwmTcMmGywkHP+SBCwqC5BkWDrgvYDoWDng6QvXpshoeqFLcd358ihhTZUcwQaKmibeCx2UkjBTTgcSSckcaS6YINWUpn4QDBp477fzVRT5HJT13K+kpxjosHPAnI5AQi8ZzQTm6DPTBYJzHi+hSpPPyymgPLs74nazdORvHONrLnYYgJEiJxXRYslruS3qeHToJpAMQDosagWgUKivJbyGm8QhypovGdp5tu2Cfv8gzeB3QQ4AevrAhdtd86HOg7kJOdpIB4OGuJXM0k8xRnh05yQAQ3pom4CDJ4iAtGe2vnZrwh+BYQ6cuIOrCW7HWnVHUgwPMyyET8qZks7gS2ktNytE9HivIUzrLVwX0RSJhfyafXsAvhKp7VcAvecD0MnTkqHzqnQBjDa14PY8ZlfO6lQK7hqOtuq9rB9Imevdm+WRahe9BQoXXAYUGGLcuXb4N8+FdcMVHTgcQILF0YPRC4Z8bNN28Pwv5kvlQw10/z6DpwjoQV3mGhQO+IeDMh0XN/JRMk5IjiqS+sTR4K8YId6dyK5y2UCpjHEGadYrfDPghQp/tq/g8TmymwvMhEL1HdCKqhNiYhjf40X/WAQtJKSHmvhwhtl/BnnU74ph1K3epd9D2/cabV8XT83HM1UkJCJQdaAINpp2rb3QG0daHLubxXNf6jlDFHSMHc2AnNdIJ/vykoZ0y7jWwSep8Zk0t7y5cg5KQXTftclUjfKKR8c+rAzYz/B6Ajg+KM/VWNBN3C7x8y+njTyQ4JxYOONxl8gwLV7DHAwQWTn9M0R9TF/wlhflYVHS3m0Cq5F/pn9+zQ+VdcDA5iFAKqOEGUxwF9aD+NeXd8/qcRC4ZLQV6/U4KgOKKpSK8gViK5QyMEHVZNGYfd+5iPoJ8ovRxtnQ8xv74x7L+UXR2q1389CfuxnF3qfNwaXV/ub3+tGWeD1q/aH3cut3qtB611lvPW3uto5bfSlp/bP2p9Q35PfkL+Sv5m0F9/z075+etykP+/m9n0/ks</latexit> G = (V, [n])ɿແ޲άϥϑ (otherwise) ͸.ತ ཭ࢄΤωϧΪʔ࠷খԽ <latexit 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D = ([n], A) ɿҰ࣍ݩ཭ࢄತؔ਺ <latexit 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<latexit 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gi, gij <latexit sha1_base64="NGDNVlqgzvbYo1Pfl1tdI0eZrN4=">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</latexit> g(p) = n X i=1 gi(pi) + X (i,j)2A gij(pj pi) <latexit 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F ✓ 2[n] ɿ૚଒ ɿҰ࣍ݩ཭ࢄತؔ਺ <latexit 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<latexit 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<latexit 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fY ૚଒্ͷತؔ਺ <latexit sha1_base64="iwuTthQ+UZsI47zulDohP43w4W8=">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</latexit> f(x) = X Y 2F fY X i2Y xi ! <latexit sha1_base64="cny+eyQAY6+OmaYaCRUwEc3ELQ0=">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</latexit> g(s, t) = 8 > < > : n X i=1 si n X j=1 tj (si tj wij 8i, j +1 (otherwise) ೋ෦Ϛονϯάͷ૒ର໰୊ <latexit 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G = ([n] t [n]; E) ɿೋ෦άϥϑ ɿลॏΈ <latexit 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si tj wij ( for ) <latexit 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8ij 2 E (otherwise) ྫ ɿ༗޲άϥϑ ͸.㽇ತ ͸̡ತ ͸̡㽇ತ <latexit 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w → ZE ͦͷଞͷྫɿૈ୅ସతؔ਺ͳͲ ͦͷଞͷྫɿϚτϩΠυަ伹ͷ૒ର໰୊ͳͲ <latexit sha1_base64="tqxg+mU1meZMIDe0JQFA1fzGZ84=">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</latexit> w → ZnɿลॏΈ <latexit sha1_base64="I4jDq4sZ7GC/3LKs75M7O7lGZhE=">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</latexit> f(x) =      e→[n] wexe +→ <latexit sha1_base64="JWzjQ9t/6Ibo0T7Ly/K44+Szfs8=">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</latexit> x → {0, 1}n <latexit sha1_base64="Tc+LCZAHsYwbYmPbLqIkO4cWsdk=">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</latexit> (X, Y → F =↑ X ↓ Y or X ↔ Y or X ↗ Y = ⊋) ཭ࢄತؔ਺ͷ
  22. /24 ࣮ߦՄೳॳظղ΁ͷม׵ 27 Ͳ͏΍࣮ͬͯߦՄೳॳظղɹɹɹɹɹɹɹɹɹɹΛಘΔʁ ՝୊ ༧ଌ͸࣮ߦෆՄೳ͔΋͠Εͳ͍ɽͦ΋ͦ΋௨ৗ࣮਺஋ ༧ଌ ࠷దղ ࣮ߦՄೳղ ൓෮ճ਺

    ཭ࢄ࠷ٸ߱Լ๏ ࣮ߦՄೳղ΁ͷม׵ ͜͜ͷޡ͕ࠩ ͳΒ ൓෮ճ਺ ม׵ͷӨڹΛӅͤΔʂ ຊ౰͸༧ଌ͔Βͷڑ཭ɹɹɹɹɹͰό΢ϯυ͍ͨ͠ʜ <latexit sha1_base64="GjNbhrEmjbdzvIrGshGH/dMdgKw=">AAAii3iczVptc9y2Eb6kL0nVpnXSj/2C6sYd2yOrupNsJ566Y0eyazWWZEuWnbGoyDgSdwcfSVAATi/mMNN/0F/Tr+3v6L/pLggeX444K2k/lDPE2z5YLBa7C4B3gyTkSq+t/fujj3/y05/9/JNPf7H0y1999uvfXPv8i1dKTKXPDn0RCvntgCoW8pgdaq5D9m0iGY0GIXs9mGwi/fUZk4qL+KW+TNhxREcxH3Kfamg6uXbz4jvP59InHo+JF4iIDFeIt0KSZvPo5Fp3bbX3FT5kbbW/Bs+dotAnvdU183Q79nl+8vnv/wo9/WnEYu2HVKmj3lqij1MqNfdDli15U8US6k/oiB1BMaYRU8epmVNGrkNLQIZCwhtrYlqrPVIaKXUZDQAZUT1WTRo2ttGOpnr45XHK42SqWeznAw2nIdGCoIJIwCXzdXgJBepLDrISf0wl9TWocak2zECIiaYDldVbo3o9UDiDehuKpYUIG12Vjqi8lEG9NeY+gw6SX2RLS9fJE9AJj0GamIYEYDXsRUKlqus2vVDQNx5BZy+iE0bBSDR0R14P7EOemSZlG5a8mJ37IopoHHhiwv0oeMguQA0xKLB/nHrAoWjXUdLtYUO31+2bvF8hgSSN/qnHEsVDEWepd0ZlUWnBJWOeY7AAwlcGZWHowYsT0mNfBOxt+GD5S7A/QPmm7n3/4K0HgC0GtifZDuAOwFxEmBY8QmCO3WmYjGmW5kpRWfo2BGFCcc6kD46VeqOADb9PPT6Mp5Gnx8x0GkkxTR540cOYkYpQBKRSZQvUhzzLctFR5qK9pvvnIF8MjBVTs8bqCswkplMtsrRaIdfJo+DdVGmi+HsG1gDrTGC0oSbQkXiSj8a6zisWMqLhjI2tEniuk11TIUkhEFeGb6swZ6C1WIsoO+odp9eXCPGKltQbGPVgIzRDqMlX5A8PvrJNqA7PkyykF7ZF+dh1wmKVdnuZYccMEyhnreNPwAFgBTG77cXTMAwgCEYc1xAMnxlX6fbukx3wYkEwuGBD/z45ADKq6YZZSJGwGCIeFkGeFQLOlRtVKBS7iV3W75PNfGwTjqqL0SqYtbitQpzsaN0qqAKGSRbNhNTc0jZtDw+0fHyadsGtuv2sZgOmIccRkC8vAWSuT764dXgfqkWPsrHoYylZTTABtmDkMoth9XqABnejKhaoMR8QCgM+gvRrk0J5lCsW6qObdhlm+pnpGGJarJdcaiz9Fqzbui4uXj6LWTU11l/GoJlRdtezqunkrrGam9dVhoyFtbgfM/APGSziQQDbY1rYZGUcqOXDrNam0jZizqUU5wfPOWcQC/DMRdJU2KdgPzXvvNI4RibL3zhdZQRTv+qMDSNjwlcdtbakVxnbOd7/yCeeYeAOHI4BtY37ZB9HrWDaIpCJ39nRhg07FSPGuIPLhBNAWh48akrJIRsW8n85NbtubRPMSVeYZhU4N9k9EIBYFyJ8SJSmUrKg2ED+G1Wst6liwzb6pT7uwM6Vj19D3i3UVIHea1HdLjvfsmfvzTYVnnM9LgKNisyT1ZRZUXShSbtdoL5gq/kajq+Mxi+fGB26okYjphlOd7I01/ndLOveNftK2r1X1f/cnt1qPQvtxXr+8/IoU+7DLcrBOai9+kkrKmZc00lqtlPzok6shV3deupzc5lD29rfueI6z0/9Naz2TnW1M7ci+i2KEDNNbA9f0XDKcNVxCYsDhNMeGsZ2y0nJrF7XC71umANNhathq9mFNkNnRXona55m2pZrxnYGL1etRWFw+TAbQ5iH0tSTeaEd608lXibCgcSDJ4DzQjtYnQ5kAZ4U4IkDTEc5GC5Exp1kXmgHB4McnLNmuKlKWZQds+QJsj1jUheZi3eSAOJVDnzlBg5DIYwURUHmBYfmGDeas7k0uTMK7MGVXVZvJ9aDtuO40d4WCrbEdBCyymXrgwFhPh50+0dgh8dgTzYH44L7XcWI5kYBJee2VKaLwL41pmq2CK+sPVWzRXhqTaqa1b8EiBH3HfdQ2M/AFIPMlM5ZMGLZPMCsOhTOWJMKF2l2ipMScONnp6cNMjsFQIb5qUHM9+ZDpAv8oMW0PZJGKfbK8IIOWW0qB0xXb9SL4iJozjjMzIetS8xcGa+sPpWBcZmlumTqMgr40J4jBxyuAlry3FOzJpTp3QI4SHezbI78piS/aSG/KMkvWsj7JXm/hbxZkjdbyE9L8tMW8pOS/KSF/E1J/qZt4m8wgmB+knojttY2OYt44UTsW8T+DDGv38Ridk/SP7fxeJOUgrQCXiSlHK2A/aQUwwCqVrdDE9d3nEBEEHX6xymGF08L3G0b3IfT2M9h6xZ25uMHVHQI0784jTX6Saa0NLzr21/929Fqlu/OxrpP7PCVT2R7CZNw34d7Egcv54GLCoJkKSYOui+gOyYOupqiBk1aDz5Ua+47v4NFjOmqm+UhqKGJd4LHVRDGofkwZVm545hlUwSyqpSPwhGDuDAfWuqTfIpKeupW0mOMpJg46I+mICEmrUeUauwamTPK7JRQxK7isFCdGR3AHR4/2XV7J7MISgdZU0VYMDizpRhLXMHEaTBCwmwwmQ+OdjWGkk7SAycDNYJJYNJgEE1DbSX+DiIrj2DndvHYydIdF+0vz7IUXgf1AKgHz2yg38u/TTqge3AycLIB4sGeZXO4kM1hlh462QAR3oYm4OzL4kBVjPuPTk34Y3DAsVMXEMrhrVn17jQawDHq5ZgJeVmxbZwJHah84zM1HmuIfcYwmkaTSFif8msR+I/QTdMK+BkPmJmGiTC1r9MlMTbUWnTgMaPyqu4H4TDV0qUBcA44fZvU2d9A9O1FoC2MIlvV83Wd/hyOBfA6qFAA5zCpK4ZAf3iXXHGY0xEEYkwdiEEo/EkOM8Xbi8BnzIecv4cVhKILtS/OsxQTB31TwMkVk4b5aqmSiiOLpGkYNHgnZoBbc3s7nBlRqty4ApX2il9W8NuLuaHU8TxO7I6Ip1xgukLMhlcL5TENL/F3jkXHRGSlhbjyfRDRfg296I7HcXev3Qg/wNv3W++PtUiRzWK72fyAQdUBS2ow75zDXGcQrX2omphv8v7cHhHMwMEV0EmDdYI/BNPQdpnVWoZJmuMs6lpdXbjMJSG7aFvlukZ4qZHZ73X7bGH43gcd7xc3g+1oIXYbvHzb6eOPJDgnJg463MiyFBPXZoEHFUyc/qjQH5WL/pJCf0xa6bdwqgrnqurK3UtgL+bvzR8JFsdiYEHlKEIxIYeLWnEmNY3m5zpvxRtyErkmYTnQiw9yAEjdevZkwGS5vHtN6xJ1unDuqIkILyFYY7oAEeJiFYXF57ZbuGHChqfNubxyzsf67Md68+Pb0sm1bvEXC+IuvOqv9u6u3n2x0X345G/5/zA+7fyus9y50el17nUedp52nncOO37n751/dP7Z+dfyZ8vry/eX/5RDP/7I/nfjt53as/z4Pw08kmY=</latexit> x→ → dom f, p→ → dom g
  23. /24 ࣮ߦՄೳॳظղ΁ͷม׵ 28 ᶃؙΊ ᶄࣹӨ ֤ཁૉΛ࢛ࣺޒೖ Ծఆɿ࣮ߦՄೳྖҬͷತแͷෆ౳ࣜදݱ͕༩͑ΒΕΔ ࣮ߦՄೳྖҬ಺ʹ࠷୹ڑ཭ͰʮࣹӨʯ͢Δ఺ΛٻΊΔ ̡ತɿɹɹɹɹɹ·Ͱͷڑ཭͕֦େ͠ͳ͍͜ͱΛࣔͤΔ ̢ತɿ࠷దղ͕ҰҙɹɹɹɹɹɹɹɹͳΒ

    ̢ತɿ ̡ತɿ ྼϞ ࡾ֯ෆ౳ࣜ Λຬͨ͢ ʜྼϞδϡϥؔ਺࠷খԽΛ࠷େ ճݺͼग़͢͜ͱͰࣹӨΛܭࢉͰ͖Δʢৄࡉུʣ ɹݸผͷؔ਺ʹରͯ͠͸ɼΑΓߴ଎ʹܭࢉͰ͖Δ ؙΊ ࣹӨ ཭ࢄ࠷ٸ߱Լ๏ ʜ࠷୹࿏ܭࢉʹؼணͰ͖Δʢৄࡉུʣ <latexit sha1_base64="Dg3rN00PqNCBc9auxl4RNIcJKf8=">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</latexit> dom g = {p → Zn | pj ↑ pi ↓ ωij (i, j → [n])}
  24. /24 ఺ɹɹɹɹɹɹΛ̡ತू߹ ̡ತू߹΁ͷࣹӨ 29 ʹࣹӨ͍ͨ͠ min s.t. <latexit sha1_base64="Pub0GNi4rW1te+pNhhAytZO6EPU=">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</latexit> p0

    = →ˆ p↑ ↓ Zn ɼ min s.t. max s.t. <latexit sha1_base64="rXVC6NUps8pyEZjdsZdnl+oaQsM=">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</latexit> {p → Zn | pj ↑ pi ↓ ωij (i, j → [n])} <latexit sha1_base64="nhEaZgqEStJ8gnd9G2neEuEFA8g=">AAAij3iczVpZc9y4EZ7dXBvlspPHvCCacsp2yYpmdPio8pZtaR0rax2WLHvLoiJjSMwIEklQAEaHWdw/kV+T1+RX5N+kGwSHxxBjbZKHTNWAAPpDo7vR3QA4M0hCrvTS0r+++PJHP/7JT3/21c/nfvHLX/36N7du//adEmPpswNfhEJ+N6CKhTxmB5rrkH2XSEajQcjeD87Wkf7+gknFRfxWXyfsKKKjmA+5TzV0Hd96kByfkgckOebECxnxRjSK6HHKTzPinY9pQO7yhVPi8Zgcxkf3jm91lxYfP+4/WlshS4trq0v9x8tQ6T9cWlpZJb3FJfPpduxn9/j2H/7iBcIfRyzWfkiVOuwtJfoopVJzP2TZnDdWLKH+GR2xQ6jGNGLqKDV6ZeQO9ARkKCR8Y01Mb3VESiOlrqMBICOqT1SThp1ttMOxHj46SnmcjDWL/Xyi4TgkWhA0Egm4ZL4Or6FCfclBVuKfUEl9Daacq00zEOJM04HK6r1RvR0o1KDeh2JpIcLGUKUjKq9lUO+Nuc9ggORX2dzcHfISbMJjkCamIQFYDXuVUKnqtk2vFIyNRzDYi+gZo+AoGoYjr6f2Q16bLmU75ryYXfoC3CEOPHHG/Sh4xq7ADDEYsH+Ugrvool9HSbeHHd1et2+e/QoJJGmMTz2WKB6KOEu9CyqLRgsuOeE5BisgfGVSFoYefFEhfeKLgH0Mn84/Av8DlG/a3vdPP3oA2GDge5JtAW4f3EWEacEjBOY4nIbJCc3S3CgqSz+GIEwoLpn0IbhSbxSw4fepx4fxOPL0CTODRlKMk6de9CyGwCmFIiCVKnugPeRZlouOMhf9NdvvgnwxMFZMTTqrKzCRmI61yNJqg9whz4PTsdJE8U8MvAHWGYN5qAkMJJ7koxNd5xULGdFwwsY2CXzukG3TIEkhEFeGb6swF2C1WIsoO+wdpXfmCPGKntQbGPNgJ3RDuslX5I9PH9suNIfnSRbSK9ujfBx6xmKVdnuZYccME6hnrfOfQQDACuLjgRePwzCARBhxXENwfGZCpdt7QrYgigXB5IId/SdkH8hoprtmIUXC4gViqiDPAoHgyp0qFIrdwyHLT8h6PrdJR9XFaBXMetxGIU52uGwNVAGDkkU3IbWwtF2bw30tvzlPuxBW3X5W8wHTkeMIyJfXADI1Jl/cOrwPzWJE2VmMsZSsJpgAXzBymcWwdt1Hh7tbFQvMmE8IlQEfQfnClFAf5YaF9uieXYaJfSY2hpwW6zmXGcu4Be+2oYuLl2sxaabG+8scNHHK7nJWdZ08NBZz97rJlLGwHvefTPxDJot4EMD2mBY+WZkHWvk0izVV2mbMuZTi/GCdcwaxgMicJU2FfQr+U4vOG81jZLL8TdBVZjDtm2psGBkXvumstSW9ydzO+f5HMfEaE3fgCAxorTwhezhrBdOWgUz+zg5XbNqpODHmHVwmVABpefKoGSWHrFjI/6Vqdt3aFMxJN1CzCpxSdgcEIDaECB8SpamULCg2kP/GFMttplixnX5pj1XYufL5a8i1wkwV6MMW022zyw179l5vM+El1ydFolGR+WQ1Y1YMXVjSbhdoL9hqXsDxldH47UtjQ1fWaOQ0w2k1S3Obr2VZd83sK2n3YdX+U3t2q/fM9Bcb+bvlUabch1uMgzqonfpJKyo0rtkkNdup+aJNrIfd3HvqurncoW3tV2+4ztOqv4fV3qquduY2RL/FEGJiic3hOxqOGa46LmFxgHD6Q8PZ7jspmbXrcmHXFXOgqXA1bDW70mbqrChXs+Zppm25Jmwn8HLVWgwGlw+zMYR5Kk09mVfasf5Y4mUiHEg8eAI4r7SD1flAFuCzAnzmANNRDoYLkQknmVfawcEgB+esGW6qUhZ1h5Y8QbYXTOri4eKdJIB4lwPfuYHDUAgjRVGRecVhOcaN5exTmqczC+zAlV1Wbyc2gjbjuNHflgo2xHgQsspl67MJYTofdPuH4IdH4E/2Cc4F97uKE03NAkbOfaksZ4F960zVxyy8sv5UfczCU+tS1Uf9TYAYcd9xD4X9DFwxyEztkgUjlk0DzKpD5YI1qXCRZueolIAbPzs/b5DZOQAyfJ4bxPRoPkS6wJdaTNsjaZTiqAwv6PCoqbLPdPVGPSsvguVMwExi2IbEJJTxyupTGZiQmatLpq6jgA/tOXLA4SqgJc8jNWtCmd4ugIN0O8umyB9K8ocW8puS/KaFvFeS91rI6yV5vYX8qiS/aiG/LMkvW8jfluRv2xT/gBkEn8epN2JLbcpZxBsnYs8i9iaIafsmFrN9nH7dxuNDUgrSCniTlHK0AvaSUgwDqHrdFk1c73ECEUHW6R+lmF48LXC3bXAfjmM/hy1b2IWPL1AxIMz44jTWGCeZ0tLwrm9/9XdHi1m+OxvvPrbTV16R7SRMwn0f7kkcopwHLioIkqVYOOi+gOFYOOhqjBY0ZT35UK2573wPFjGmq2GWp6CGJU4Fj6sgzEPTacqycucxy6ZIZFUpn4cjBnlhOrXUlXyFRnrlNtI3mEmxcNCfj0FCLFqPKNXcNTJnlMkpochdxWGhqhkdwB0eX9l1e8eTDEoHWdNEWDE4s6UYT1zAwukwQoI2WEwnR7saQ0nP0n0nAzUCJbBoMIjGobYS/xUyK49g53bx2MrSLRftz6+zFL4O6j5Q91/bRL+Tv5t0QHfgZOBkA8T9HcvmYCabgyw9cLIBInwbloCzL4sDVXHuPzkt4Z9AAJ44bQGpHL41r94eRwM4Rr09YUJeV3wbNaEDlW98psVjDbnPOEbTaRIJ61O+LYL4EbrpWgG/4AEzapgMU3s7XRJjQ61lBx4zKm8afpAOUy1dFoDggNO3KZ3jDUQ/mAXawCyyUT1f1+m7cCyAr4MKFQgOU7pyCIyH75wrD3M6gkSMpQMxCIV/lsNM9cEs8AXz4ck/wQpC1YXaE5dZioWDvi7g5IpFw321VEklkEXSdAwanIoJ4P7U3g5nRpQqd65Apb3ilxV892JuKHU8jxO7I+IpF5guELPh1VJ5TMNr/J1j1jERWWkhbnwfRLRfQ8+643Hc3Ws3ws/w9v3W+2MtU2ST3G42P2BQDcCSGkwH5zC3GWRrH5om55tnf2qPCCbg4AbopME6wR+CaWiHTFot0yTNeWYNra4uXOaSkF21rXLdIry0yOT3uj02M33vgY33ipvBZjQTuwlRvumM8ecSghMLBx1uZFmKhWuzwIMKFs54VBiPykV/S2E8Fq30+6iqQl1V3bg7CezF/JP5M8HsXAwsqBxFKCY84aJWnElNp/m5zlvwhpxELiUsB3r1WQ4AqXvPjgyYLJd3p+ldok4Xzh01EeE1JGssZyBCXKyiMvvcdh83TNjwtDmXV8752J78WG9+fJs7vtUt/mJB3JV3/cXe2uLam5Xusxf2fxhfdX7fme/c7fQ6DzvPOq86u52Djt/5W+fvnX90/jl/e/7h/Nfzz3Lol1/YMb/r1D7zm/8GzbyTaQ==</latexit> pj → pi ↑ ωij (i, j ↓ [n]) <latexit sha1_base64="nhEaZgqEStJ8gnd9G2neEuEFA8g=">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</latexit> pj → pi ↑ ωij (i, j ↓ [n]) <latexit sha1_base64="nhEaZgqEStJ8gnd9G2neEuEFA8g=">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</latexit> pj → pi ↑ ωij (i, j ↓ [n]) <latexit sha1_base64="5GDL1E1oWxWRb28NteVh/FxEi2M=">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</latexit> p → p0 ± → := max i↑[n] max pi → p0 i , 0 + max i↑[n] max p0 i → pi, 0
  25. /24 ̡ತू߹΁ͷࣹӨ 30 min s.t. <latexit sha1_base64="wYa0udu8KqQ3Nrms7Rz6x8Ml3jI=">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</latexit> j→[n] xji +

    yi = j→[n] xij + zi (i → [n]) max s.t. <latexit sha1_base64="nhEaZgqEStJ8gnd9G2neEuEFA8g=">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</latexit> pj → pi ↑ ωij (i, j ↓ [n]) ɼ ɼ %VBM ͜ͷ-1͸ҎԼͷάϥϑͷ࠷୹࿏໰୊ɿ <latexit sha1_base64="uCpvgPfajJhdr1U8XLaqi8C57YQ=">AAACBHicdVDLSgMxFL1TX7W+qi7dBIvgapgptequ4MZlBacttGPJpJk2NJMZkoxYSrdu3eo/uBO3/oe/4FeY6QOs6IHA4Zz7ygkSzpR2nE8rt7K6tr6R3yxsbe/s7hX3DxoqTiWhHol5LFsBVpQzQT3NNKetRFIcBZw2g+FV5jfvqVQsFrd6lFA/wn3BQkawNpKXdN07p1ssObZ7mQE5dtkxOFuQMnJtZ4oSzFHvFr86vZikERWacKxU23US7Y+x1IxwOil0UkUTTIa4T9uGChxR5Y+nx07QiVF6KIyleUKjqfqzY4wjpUZRYCojrAfqt5eJf3ntVIcX/piJJNVUkNmiMOVIxyj7OeoxSYnmI0MwkczcisgAS0y0yWdpi2CEmvmSPUwKJpxFAuh/0ijbbtWu3lRKtco8pjwcwTGcggvnUINrqIMHBBg8wTO8WI/Wq/Vmvc9Kc9a85xCWYH18A6TAmKs=</latexit> p0 1 <latexit sha1_base64="VRvCg1Q848ZFqnnsjIE0u+HZRco=">AAACBHicdVDLSgMxFM3UV62vqks3wSK4GjJDrboruHFZwWkL7VgyaaYNzWSGJCOWoVu3bvUf3Ilb/8Nf8CvM9AFW9EDgcM595QQJZ0oj9GkVVlbX1jeKm6Wt7Z3dvfL+QVPFqSTUIzGPZTvAinImqKeZ5rSdSIqjgNNWMLrK/dY9lYrF4laPE+pHeCBYyAjWRvKSnnuHeuUKsp3LHBDZLjI4WxAXOjaaogLmaPTKX91+TNKICk04VqrjoET7GZaaEU4npW6qaILJCA9ox1CBI6r8bHrsBJ4YpQ/DWJonNJyqPzsyHCk1jgJTGWE9VL+9XPzL66Q6vPAzJpJUU0Fmi8KUQx3D/OewzyQlmo8NwUQycyskQywx0SafpS2CEWrmS/YwKZlwFgnA/0nTtZ2aXbupVurVeUxFcASOwSlwwDmog2vQAB4ggIEn8AxerEfr1Xqz3melBWvecwiWYH18A6ZemKw=</latexit> p0 2 <latexit sha1_base64="hbatxr3SIwoOBYXO9tQR6AQPkuY=">AAACBHicdVDLSgMxFM34rPVVdekmWARXw0ytVXcFNy4rOG2hHUsmvdOGZjJDkhFL6datW/0Hd+LW//AX/AozfYAVPRA4nHNfOUHCmdKO82ktLa+srq3nNvKbW9s7u4W9/bqKU0nBozGPZTMgCjgT4GmmOTQTCSQKODSCwVXmN+5BKhaLWz1MwI9IT7CQUaKN5CWd0zunUyg6tnuZATt2yTE4m5MSdm1ngiKaodYpfLW7MU0jEJpyolTLdRLtj4jUjHIY59upgoTQAelBy1BBIlD+aHLsGB8bpYvDWJonNJ6oPztGJFJqGAWmMiK6r357mfiX10p1eOGPmEhSDYJOF4UpxzrG2c9xl0mgmg8NIVQycyumfSIJ1SafhS2CUTDzJXsY50048wTw/6Rest2KXbkpF6vlWUw5dIiO0Aly0TmqomtUQx6iiKEn9IxerEfr1Xqz3qelS9as5wAtwPr4Bqf8mK0=</latexit> p0 3 <latexit sha1_base64="fW56sW5re6xP7mv3WSFP+jskrYA=">AAACCnicdVDLSgMxFM34rPVVdekmWARXw8xQq+4KblxWsA+YDiWTZtrQJDMkGbEM8wdu3eo/uBO3/oS/4FeY6QOs6IHA4Zz7ygkTRpV2nE9rZXVtfWOztFXe3tnd268cHLZVnEpMWjhmseyGSBFGBWlpqhnpJpIgHjLSCcfXhd+5J1LRWNzpSUICjoaCRhQjbSS/N0Sco37menm/UnVs96oAdGzPMThfEA+6tjNFFczR7Fe+eoMYp5wIjRlSynedRAcZkppiRvJyL1UkQXiMhsQ3VCBOVJBNT87hqVEGMIqleULDqfqzI0NcqQkPTSVHeqR+e4X4l+enOroMMiqSVBOBZ4uilEEdw+L/cEAlwZpNDEFYUnMrxCMkEdYmpaUtgmJi5kv6kJdNOIsE4P+k7dlu3a7f1qqN2jymEjgGJ+AMuOACNMANaIIWwCAGT+AZvFiP1qv1Zr3PSlesec8RWIL18Q2shpty</latexit> ω12 <latexit sha1_base64="vJr8knANk+fCTxNpRaANH+ARJNU=">AAACCnicdVDLSgMxFM3UV62vqks3wSK4GmZqrboruHFZwT5gOpRMmmlDk8yQZMQyzB+4dav/4E7c+hP+gl9hpg+wogcCh3PuKyeIGVXacT6twsrq2vpGcbO0tb2zu1feP2irKJGYtHDEItkNkCKMCtLSVDPSjSVBPGCkE4yvc79zT6SikbjTk5j4HA0FDSlG2kheb4g4R/3UPcv65Ypju1c5oGNXHYPzBalC13amqIA5mv3yV28Q4YQToTFDSnmuE2s/RVJTzEhW6iWKxAiP0ZB4hgrEifLT6ckZPDHKAIaRNE9oOFV/dqSIKzXhgankSI/Uby8X//K8RIeXfkpFnGgi8GxRmDCoI5j/Hw6oJFiziSEIS2puhXiEJMLapLS0RVBMzHxJH7KSCWeRAPyftKu2W7frt7VKozaPqQiOwDE4BS64AA1wA5qgBTCIwBN4Bi/Wo/VqvVnvs9KCNe85BEuwPr4BriObcw==</latexit> ω13 <latexit sha1_base64="y4izpGQ3apkYxid3oB7DwCmAgUE=">AAACCnicdVDLSgMxFM3UV62vqks3wSK4GmbGWnVXcOOygn3AdCiZNNOGJpkhyYhl6B+4dav/4E7c+hP+gl9hpg+wogcCh3PuKydMGFXacT6twsrq2vpGcbO0tb2zu1feP2ipOJWYNHHMYtkJkSKMCtLUVDPSSSRBPGSkHY6uc799T6SisbjT44QEHA0EjShG2kh+d4A4R73MO5v0yhXHdq9yQMf2HIPzBfGgaztTVMAcjV75q9uPccqJ0JghpXzXSXSQIakpZmRS6qaKJAiP0ID4hgrEiQqy6ckTeGKUPoxiaZ7QcKr+7MgQV2rMQ1PJkR6q314u/uX5qY4ug4yKJNVE4NmiKGVQxzD/P+xTSbBmY0MQltTcCvEQSYS1SWlpi6CYmPmSPkxKJpxFAvB/0vJst2bXbquVenUeUxEcgWNwClxwAergBjRAE2AQgyfwDF6sR+vVerPeZ6UFa95zCJZgfXwDr8GbdA==</latexit> ω23 <latexit sha1_base64="e/Mv4S6ry0Sug2UKHWyml10sHns=">AAACCnicdVDLSgMxFM34rPVVdekmWARXw8xQq+4KblxWsA+YDiWTZtrQJDMkGbEM8wdu3eo/uBO3/oS/4FeY6QOs6IHA4Zz7ygkTRpV2nE9rZXVtfWOztFXe3tnd268cHLZVnEpMWjhmseyGSBFGBWlpqhnpJpIgHjLSCcfXhd+5J1LRWNzpSUICjoaCRhQjbSS/N0Sco37muXm/UnVs96oAdGzPMThfEA+6tjNFFczR7Fe+eoMYp5wIjRlSynedRAcZkppiRvJyL1UkQXiMhsQ3VCBOVJBNT87hqVEGMIqleULDqfqzI0NcqQkPTSVHeqR+e4X4l+enOroMMiqSVBOBZ4uilEEdw+L/cEAlwZpNDEFYUnMrxCMkEdYmpaUtgmJi5kv6kJdNOIsE4P+k7dlu3a7f1qqN2jymEjgGJ+AMuOACNMANaIIWwCAGT+AZvFiP1qv1Zr3PSlesec8RWIL18Q2sh5ty</latexit> ω21 <latexit sha1_base64="z40vaCAuNjhA++BP97Zt190Wf18=">AAACCnicdVDLSgMxFM3UV62vqks3wSK4GmbGWnVXcOOygn3AdCiZNNOGJpkhyYhl6B+4dav/4E7c+hP+gl9hpg+wogcCh3PuKydMGFXacT6twsrq2vpGcbO0tb2zu1feP2ipOJWYNHHMYtkJkSKMCtLUVDPSSSRBPGSkHY6uc799T6SisbjT44QEHA0EjShG2kh+d4A4R73szJv0yhXHdq9yQMf2HIPzBfGgaztTVMAcjV75q9uPccqJ0JghpXzXSXSQIakpZmRS6qaKJAiP0ID4hgrEiQqy6ckTeGKUPoxiaZ7QcKr+7MgQV2rMQ1PJkR6q314u/uX5qY4ug4yKJNVE4NmiKGVQxzD/P+xTSbBmY0MQltTcCvEQSYS1SWlpi6CYmPmSPkxKJpxFAvB/0vJst2bXbquVenUeUxEcgWNwClxwAergBjRAE2AQgyfwDF6sR+vVerPeZ6UFa95zCJZgfXwDr8KbdA==</latexit> ω32 <latexit sha1_base64="NOPFUW6uX56bbOoJjwMv6pRVOYE=">AAACCnicdVDLSgMxFM3UV62vqks3wSK4GmZqrboruHFZwT5gOpRMmmlDk8yQZMQyzB+4dav/4E7c+hP+gl9hpg+wogcCh3PuKyeIGVXacT6twsrq2vpGcbO0tb2zu1feP2irKJGYtHDEItkNkCKMCtLSVDPSjSVBPGCkE4yvc79zT6SikbjTk5j4HA0FDSlG2kheb4g4R/30zM365Ypju1c5oGNXHYPzBalC13amqIA5mv3yV28Q4YQToTFDSnmuE2s/RVJTzEhW6iWKxAiP0ZB4hgrEifLT6ckZPDHKAIaRNE9oOFV/dqSIKzXhgankSI/Uby8X//K8RIeXfkpFnGgi8GxRmDCoI5j/Hw6oJFiziSEIS2puhXiEJMLapLS0RVBMzHxJH7KSCWeRAPyftKu2W7frt7VKozaPqQiOwDE4BS64AA1wA5qgBTCIwBN4Bi/Wo/VqvVnvs9KCNe85BEuwPr4BriWbcw==</latexit> ω31 <latexit sha1_base64="owqQ+Nfw0LIgCOZe2B1xjSxsNo4=">AAACBXicdVDLSgMxFM3UV62vqks3wSK4cZgptequ4MZlBfuAdiyZ9E4bm8kMSUYspWu3bvUf3Ilbv8Nf8CvM9AFW9EDgcM595fgxZ0o7zqeVWVpeWV3Lruc2Nre2d/K7e3UVJZJCjUY8kk2fKOBMQE0zzaEZSyChz6HhDy5Tv3EPUrFI3OhhDF5IeoIFjBJtpPpJ3HFvnU6+4NjuRQrs2EXH4HROiti1nQkKaIZqJ//V7kY0CUFoyolSLdeJtTciUjPKYZxrJwpiQgekBy1DBQlBeaPJtWN8ZJQuDiJpntB4ov7sGJFQqWHom8qQ6L767aXiX14r0cG5N2IiTjQIOl0UJBzrCKdfx10mgWo+NIRQycytmPaJJFSbgBa2CEbBzJfsYZwz4cwTwP+TetF2y3b5ulSolGYxZdEBOkTHyEVnqIKuUBXVEEV36Ak9oxfr0Xq13qz3aWnGmvXsowVYH98TIJji</latexit> →p0 1 <latexit sha1_base64="ru2BIz2aC7xBJZkH7xLGBs3gu1g=">AAACBXicdVDLSgMxFM3UV62vqks3wSK4ccgMtequ4MZlBfuAdiyZNNPGZjJDkhHL0LVbt/oP7sSt3+Ev+BVm+gAreiBwOOe+cvyYM6UR+rRyS8srq2v59cLG5tb2TnF3r6GiRBJaJxGPZMvHinImaF0zzWkrlhSHPqdNf3iZ+c17KhWLxI0exdQLcV+wgBGsjdQ4ibvuLeoWS8h2LjJAZLvI4HROXOjYaIISmKHWLX51ehFJQio04ViptoNi7aVYakY4HRc6iaIxJkPcp21DBQ6p8tLJtWN4ZJQeDCJpntBwov7sSHGo1Cj0TWWI9UD99jLxL6+d6ODcS5mIE00FmS4KEg51BLOvwx6TlGg+MgQTycytkAywxESbgBa2CEaomS/Zw7hgwpknAP8nDdd2Knblulyqlmcx5cEBOATHwAFnoAquQA3UAQF34Ak8gxfr0Xq13qz3aWnOmvXsgwVYH98Uvpjj</latexit> →p0 2 <latexit sha1_base64="S1HO5i8Q7mx5BSkBMQTAxmw+HkI=">AAACBXicdVDLSgMxFL3js9ZX1aWbYBHcOMzUWnVXcOOygn1AO5ZMmmljM5khyYildO3Wrf6DO3Hrd/gLfoWZPsCKHggczrmvHD/mTGnH+bQWFpeWV1Yza9n1jc2t7dzObk1FiSS0SiIeyYaPFeVM0KpmmtNGLCkOfU7rfv8y9ev3VCoWiRs9iKkX4q5gASNYG6l2HLdPbp12Lu/Y7kUK5NgFx+B0RgrItZ0x8jBFpZ37anUikoRUaMKxUk3XibU3xFIzwuko20oUjTHp4y5tGipwSJU3HF87QodG6aAgkuYJjcbqz44hDpUahL6pDLHuqd9eKv7lNRMdnHtDJuJEU0Emi4KEIx2h9OuowyQlmg8MwUQycysiPSwx0SaguS2CEWrmS/YwyppwZgmg/0mtYLslu3RdzJeL05gysA8HcAQunEEZrqACVSBwB0/wDC/Wo/VqvVnvk9IFa9qzB3OwPr4BFlyY5A==</latexit> →p0 3 <latexit sha1_base64="H4P9tBSxQpTGTqRVg5DbwT72zEE=">AAACAHicdVDLSgMxFM3UV62vqks3wSK4GmZKrboruHHZgn1AO5RMeqcNzWSGJCOWoRu3bvUf3Ilb/8Rf8CvM9AFW9EDgcM595fgxZ0o7zqeVW1vf2NzKbxd2dvf2D4qHRy0VJZJCk0Y8kh2fKOBMQFMzzaETSyChz6Htj28yv30PUrFI3OlJDF5IhoIFjBJtpIbTL5Yc273OgB277BhcLEkZu7YzQwktUO8Xv3qDiCYhCE05UarrOrH2UiI1oxymhV6iICZ0TIbQNVSQEJSXzg6d4jOjDHAQSfOExjP1Z0dKQqUmoW8qQ6JH6reXiX953UQHV17KRJxoEHS+KEg41hHOfo0HTALVfGIIoZKZWzEdEUmoNtmsbBGMgpkv2cO0YMJZJoD/J62y7VbtaqNSqlUWMeXRCTpF58hFl6iGblEdNRFFgJ7QM3qxHq1X6816n5fmrEXPMVqB9fEN2bKXJQ==</latexit> 0 Bellman–FordΞϧΰϦζϜʹΑΓ ଟ߲ࣜ࣌ؒͰࣹӨ͕ܭࢉͰ͖Δʂ
  26. /24 ༧ଌ͖ͭ཭ࢄತؔ਺࠷খԽ 31 ఆཧ ༧ଌ෇̢͖ತؔ਺࠷খԽΞϧΰϦζϜͷܭࢉ࣌ؒ <latexit sha1_base64="kqgGhZjaeXO9DIBgOCM8Dzfb3SI=">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</latexit> f : Zn

    ! R [ {+1}ɿ.ತɼ࠷దղ͕Ұҙɹɹɹɹɹɹɹɹɼ [O.–Sakaue ’23] ɿɹɹɹ΁ͷࣹӨʹཁ͢Δ࣌ؒ ɿ࠷ٸ߱Լ๏ͷҰ൓෮ʹཁ͢Δ࣌ؒ ఆཧ ༧ଌ෇̡͖ತؔ਺࠷খԽΞϧΰϦζϜͷܭࢉ࣌ؒ ɿ̡ತɼ [Sakaue–O. ’22 ’23] ɿɹɹɹ΁ͷࣹӨʹཁ͢Δ࣌ؒ ɿ࠷ٸ߱Լ๏ͷҰ൓෮ʹཁ͢Δ࣌ؒ <latexit sha1_base64="OwPx+2rAHqso3YDrqabYiPOFHHg=">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</latexit> g : Zn ! R [ {+1} <latexit sha1_base64="ukm2rvrtszZEQziWWKCqIcKtqnw=">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</latexit> O(Tinit + min{→ˆ p ↑ p →→ ↑ | p → ↓ conv(arg min g)} · Tloc) ࠷దղʢू߹ʣʹ͍ۙ఺ɹɹΛ༧ଌͯ͠ɼ͔ͦ͜Β཭ࢄ࠷ٸ߱Լ๏Λελʔτ ༧ଌ͖ͭ཭ࢄತؔ਺࠷খԽ
  27. /24 ཭ࢄತؔ਺࠷খԽͷ༧ଌֶश 32 ΛͲ͏΍ͬͯߏ੒ʢֶशʣ͢Δ͔ʁ Πϯελϯε̍ Πϯελϯε̎ Πϯελϯε̏ Πϯελϯε Πϯελϯε ֶशϑΣʔζ

    ςετϑΣʔζ ৽Πϯελϯε ͕͍͍Μ͡ΌͶʁ ࠷దղʢू߹ʣʹ͍ۙ఺ɹɹΛ༧ଌͯ͠ɼ͔ͦ͜Β཭ࢄ࠷ٸ߱Լ๏Λελʔτ ༧ଌ͖ͭ཭ࢄತؔ਺࠷খԽ
  28. /24 ৽̢͍͠ತؔ਺ɹɹɹɹɹɹɹɹɹɹɹͷ࠷దղͷ༧ଌ ཭ࢄತؔ਺࠷খԽͷ༧ଌֶश 33 ՝୊ઃఆ ʢ̢ತʣ ೖྗ ʢֶशσʔλʣ ̢ತؔ਺ͷྻ <latexit

    sha1_base64="WFOIPenSfjPJWs7/lsl5ewDR8xc=">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</latexit> f1, . . . , fT : Zn → Z ↑ {+↓} ֤ɹͷ࠷খ఺ <latexit sha1_base64="kDaQir8d4siff2v+Skn2v/jC0bU=">AAAB+3icbVDLSsNAFJ34rPFVdelmsAiuSiJSXRbduKxoH9CGMplO2qEzkzBzI5SQT3CrH+BO3Poxrv0Rp20WtvXAhcM593LvPWEiuAHP+3bW1jc2t7ZLO+7u3v7BYfnouGXiVFPWpLGIdSckhgmuWBM4CNZJNCMyFKwdju+mfvuZacNj9QSThAWSDBWPOCVgpceoD/1yxat6M+BV4hekggo0+uWf3iCmqWQKqCDGdH0vgSAjGjgVLHd7qWEJoWMyZF1LFZHMBNns1ByfW2WAo1jbUoBn6t+JjEhjJjK0nZLAyCx7U/E/r5tCdBNkXCUpMEXni6JUYIjx9G884JpREBNLCNXc3orpiGhCwabjLqwJZe7aVPzlDFZJ67Lq16q1h6tK/bbIp4RO0Rm6QD66RnV0jxqoiSgaohf0it6c3Hl3PpzPeeuaU8ycoAU4X78YUpSS</latexit> ft ࠷దղ͸Ұҙ <latexit sha1_base64="HpGn1pJmbm+PwAKjIdtBEguUq1I=">AAACEHicbVDLSsNAFJ3UV42vquDGzWARxEVJRKrLohuXFewDm7RMppN26GQSZiZiifkJP8GtfoA7cesfuPZHnLRZ2NYDFw7n3Ms9HC9iVCrL+jYKS8srq2vFdXNjc2t7p7S715RhLDBp4JCFou0hSRjlpKGoYqQdCYICj5GWN7rO/NYDEZKG/E6NI+IGaMCpTzFSWuqVDh57qnsKHcqhEyA19LzkPu1qo2xVrAngIrFzUgY56r3Sj9MPcRwQrjBDUnZsK1JugoSimJHUdGJJIoRHaEA6mnIUEOkmk/wpPNZKH/qh0MMVnKh/LxIUSDkOPL2ZZZTzXib+53Vi5V+6CeVRrAjH00d+zKAKYVYG7FNBsGJjTRAWVGeFeIgEwkpXZs688YLU1K3Y8x0skuZZxa5Wqrfn5dpV3k8RHIIjcAJscAFq4AbUQQNg8ARewCt4M56Nd+PD+JyuFoz8Zh/MwPj6BaYdnHY=</latexit> x→ t → Zn ग़ྗ ʢςετσʔλʣ <latexit sha1_base64="u8nHGaxs7hSZ5JQOliS2fHYpBKQ=">AAACNXicbVDLSsNAFJ34rPEVdelmsAhCoSQiVXBTdOOyQl/Y1DKZTtqhk0mYmQgh5GP8Cj/BrS5duFLc+gtO2i768MDAmXPfx4sYlcq2P4yV1bX1jc3Clrm9s7u3bx0cNmUYC0waOGShaHtIEkY5aSiqGGlHgqDAY6TljW7zeOuJCElDXldJRLoBGnDqU4yUlnrWtd9L6yUng27ei0M3QGroeelD9qg/KpwRdEocQTctuZT7KnGznlW0y/YYcJk4U1IEU9R61pfbD3EcEK4wQ1J2HDtS3RQJRTEjmenGkkQIj9CAdDTlKCCym46PzOCpVvrQD4V+XMGxOluRokDKJPB0Zr6yXIzl4n+xTqz8q25KeRQrwvFkkB8zqI/PHYN9KghWLNEEYUH1rhAPkUBYaV/NuTFekJnaFWfRg2XSPC87lXLl/qJYvZn6UwDH4AScAQdcgiq4AzXQABg8g1fwBt6NF+PT+DZ+JqkrxrTmCMzB+P0D6dSrpg==</latexit> fT +1 : Zn → Z ↑ {+↓} <latexit sha1_base64="EGsCr3c9MJozFfyxbcq/84ykjkE=">AAACGHicbVDLSsNAFJ3UV42vqktBBosgCCURqS6LblxW6QuaWCbTSTt0MgkzE7GE7PwKP8GtfoA7cevOtT/ipM3Cth4YOJxzLvfO8SJGpbKsb6OwtLyyulZcNzc2t7Z3Srt7LRnGApMmDlkoOh6ShFFOmooqRjqRICjwGGl7o+vMbz8QIWnIG2ocETdAA059ipHSUq906AyRSh7TXtI4tVPoUA6dAKmh5yV36b0OlK2KNQFcJHZOyiBHvVf6cfohjgPCFWZIyq5tRcpNkFAUM5KaTixJhPAIDUhXU44CIt1k8o8UHmulD/1Q6McVnKh/JxIUSDkOPJ3MbpTzXib+53Vj5V+6CeVRrAjH00V+zKAKYVYK7FNBsGJjTRAWVN8K8RAJhJWuzpxZ4wWpqVux5ztYJK2zil2tVG/Py7WrvJ8iOABH4ATY4ALUwA2ogybA4Am8gFfwZjwb78aH8TmNFox8Zh/MwPj6BTY3n/s=</latexit> ˆ xT +1 → Rn ՝୊ઃఆ ʢ-ತʣ ̡ತؔ਺ͷྻ ֤ɹͷ࠷దղू߹ʢෆ౳ࣜදݱʣ ৽̡͍͠ತؔ਺ɹɹɹɹɹɹɹɹɹɹɹͷ࠷దղͷ༧ଌ <latexit sha1_base64="53CyOw1qu0xWW7pC7kTWFWmKTBY=">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</latexit> g1, . . . , gT : Zn → Z ↑ {+↓} <latexit sha1_base64="lNZJW5bKg+tYqHj3+iczSXJjuSU=">AAAB+3icbVDLSsNAFL3xWeur6tLNYBFclUSkuiy6cVnRPqANZTKdpENnJmFmIpSQT3CrH+BO3Poxrv0Rp20WtvXAhcM593LvPUHCmTau++2srW9sbm2Xdsq7e/sHh5Wj47aOU0Voi8Q8Vt0Aa8qZpC3DDKfdRFEsAk47wfhu6neeqdIslk9mklBf4EiykBFsrPQYDcygUnVr7gxolXgFqUKB5qDy0x/GJBVUGsKx1j3PTYyfYWUY4TQv91NNE0zGOKI9SyUWVPvZ7NQcnVtliMJY2ZIGzdS/ExkWWk9EYDsFNiO97E3F/7xeasIbP2MySQ2VZL4oTDkyMZr+jYZMUWL4xBJMFLO3IjLCChNj0ykvrAlEXrapeMsZrJL2Zc2r1+oPV9XGbZFPCU7hDC7Ag2towD00oQUEIniBV3hzcufd+XA+561rTjFzAgtwvn4BGemUkw==</latexit> gt <latexit sha1_base64="yOCVH6wypGU8u9ijuOv0+JphZW4=">AAACFXicbVDLTgIxFO3gC/GFumTTSExcGDJjDLokunGJiTwSIKRTCjT0MWnvmJAJC7/CT3CrH+DOuHXt2h+xwCwEPEmTk3Pu7WlPGAluwfe/vcza+sbmVnY7t7O7t3+QPzyqWx0bympUC22aIbFMcMVqwEGwZmQYkaFgjXB0O/Ubj8xYrtUDjCPWkWSgeJ9TAk7q5gttHTFDQBtFJEuIGbTPJVcTPOhCN1/0S/4MeJUEKSmiFNVu/qfd0zSWTAEVxNpW4EfQcZcCp4JNcu3YsojQERmwlqPTRNtJZp+Y4FOn9HBfG3cU4Jn6dyMh0tqxDN2kJDC0y95U/M9rxdC/7iRcRTEwRedB/Vhg0HjaCO5xwyiIsSOEGu7eiumQGELB9ZZbiAnlJOdaCZY7WCX1i1JQLpXvL4uVm7SfLCqgE3SGAnSFKugOVVENUfSEXtArevOevXfvw/ucj2a8dOcYLcD7+gWwqp87</latexit> arg min gt <latexit sha1_base64="OqCT+HsV3+xx9OpgqDOcQNoa+5c=">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</latexit> gT +1 : Zn → Z ↑ {+↓} <latexit sha1_base64="JQoUQAeMXLShl6idgJXf19hyFF0=">AAACGHicbVDLSgMxFM34rOOr6lKQYBEEocyIVJdFNy6r9AWdsWTSTBuaZIYkI5Rhdn6Fn+BWP8CduHXn2h8x03ZhWw8EDuecy705Qcyo0o7zbS0tr6yurRc27M2t7Z3d4t5+U0WJxKSBIxbJdoAUYVSQhqaakXYsCeIBI61geJP7rUciFY1EXY9i4nPUFzSkGGkjdYtH3gDpNM66af3MzaBHBfQ40oMgSO+zBxMoOWVnDLhI3CkpgSlq3eKP14twwonQmCGlOq4Taz9FUlPMSGZ7iSIxwkPUJx1DBeJE+en4Hxk8MUoPhpE0T2g4Vv9OpIgrNeKBSeY3qnkvF//zOokOr/yUijjRRODJojBhUEcwLwX2qCRYs5EhCEtqboV4gCTC2lRnz6wJeGabVtz5DhZJ87zsVsqVu4tS9XraTwEcgmNwClxwCargFtRAA2DwBF7AK3iznq1368P6nESXrOnMAZiB9fULKM+f8w==</latexit> ˆ pT +1 → Rn ଛࣦ ʢֶशͷ໨తؔ਺ʣ ೖྗ ʢֶशσʔλʣ ग़ྗ ʢςετσʔλʣ ଛࣦ ʢֶशͷ໨తؔ਺ʣ <latexit sha1_base64="EgCN5zHhUK84v8tTcVPLmddGm8g=">AAACKXicbVDLSgMxFM3Ud32NunQTLIKo1BkRdSOIblwq9AWdWjJppg3NY0gyYhnmM/wKP8GtfoA7ddsfMX0sbOuBwOGcezk3J4wZ1cbzvp3c3PzC4tLySn51bX1j093armiZKEzKWDKpaiHShFFByoYaRmqxIoiHjFTD7u3Arz4RpakUJdOLSYOjtqARxchYqemeBDImChmpBOIkRaodHHMqMhg109KRn8ErGKTPI/54GGRNt+AVvSHgLPHHpADGuG+6/aAlccKJMJghreu+F5uGDTIUM5Llg0STGOEuapO6pYMrdCMdfiyD+1ZpwUgq+4SBQ/XvRoq41j0e2kmOTEdPewPxP6+emOiykVIRJ4YIPAqKEgaNhIOWYIsqgg3rWYKwovZWiDtIIWxsl/mJmJBneduKP93BLKmcFv3z4vnDWeH6ZtzPMtgFe+AA+OACXIM7cA/KAIMX8AbewYfz6nw6X87PaDTnjHd2wASc/i/Nt6Zq</latexit> arg min fT +1 = {x→ T +1 } <latexit sha1_base64="Qz8LzTiRp56DiLWLhJiXmTtbZJQ=">AAACHHicbZDLSsNAFIYnXmu9RV26GVoEUSyJSHVZdOOyQm/QtGEynbZDZ5IwM5GWNHufwkdwqw/gTtwKrn0Rp20WtvWHgY//nMM583sho1JZ1rexsrq2vrGZ2cpu7+zu7ZsHhzUZRAKTKg5YIBoekoRRn1QVVYw0QkEQ9xipe4O7Sb3+SISkgV9Ro5C0OOr5tEsxUtpyzZwzdvpIwaEbV87tBF7AYftsxs7YtdtOyF0zbxWsqeAy2CnkQaqya/44nQBHnPgKMyRl07ZC1YqRUBQzkmSdSJIQ4QHqkaZGH3EiW/H0Lwk80U4HdgOhn6/g1P07ESMu5Yh7upMj1ZeLtYn5X60Zqe5NK6Z+GCni49mibsSgCuAkGNihgmDFRhoQFlTfCnEfCYSVji87t8bjSVanYi9msAy1y4JdLBQfrvKl2zSfDDgGOXAKbHANSuAelEEVYPAEXsAreDOejXfjw/icta4Y6cwRmJPx9QsX56BD</latexit> →ˆ xT +1 ↑ x→ T +1 →± 1 <latexit sha1_base64="V08vEBRz4re30tcRSDeVO7U+JuE=">AAACc3icbVFNTxsxFPRuodC0hdAeuTyRVqIfRLsIQSUuqL30CBIBpDisvI43sfCXbC/SarM/tCcO/Q2915vkQIAnWRrNvPfGHudGcOeT5E8Uv1pbf72x+abz9t37re3uzocrp0tL2YBqoe1NThwTXLGB516wG2MZkblg1/ndr1a/vmfWca0ufWXYSJKJ4gWnxAcq61ZYcgW4BnwKeIanxIPJ6stvaQMHYG6/4lmGuSp8dYuNBCyJn1omZm17UAG3w9owS7y2ikhWU63um/1VjtgJ/h58Gpgsdn8B3GTdXtJP5gXPQboEPbSs86z7F481LSVTngri3DBNjB+F5Z5TwZoOLh0zhN6RCRsG2Dq7UT2PqIHPgRlDoW04ysOcfTxRE+lcJfPQ2b7RPdVa8iVtWPrix6jmypSeKbowKkoBXkObN4y5ZdSLKgBCLQ93BTolllAffqWzYpPLphNSSZ9m8BxcHfbT4/7xxVHv7Ocyn020i/bQPkrRCTpDv9E5GiCKHqL1aCvajv7Fu/Fe/GnRGkfLmY9opeKD/yRHvNk=</latexit> min{ →ˆ pT +1 ↑ p→→± ↑ | p→ ↓ conv(arg min gT +1)}
  29. /24 ֶशख๏ 34 ํ๏̍ɽਂ૚ֶशͰϙϯʂ ํ๏̎ɽޯ഑߱Լ๏ʹجͮ͘ΦϯϥΠϯ࠷దԽ ࣮ࡍͷੑೳ͸ྑͦ͞͏ʢΠϯελϯεΛݟͯ༧ଌΛܾఆͰ͖Δʣ $POT 1SPT ཧ࿦อূΛग़͢ͷ͕೉ͦ͠͏ $POT

    1SPT <latexit sha1_base64="EGsCr3c9MJozFfyxbcq/84ykjkE=">AAACGHicbVDLSsNAFJ3UV42vqktBBosgCCURqS6LblxW6QuaWCbTSTt0MgkzE7GE7PwKP8GtfoA7cevOtT/ipM3Cth4YOJxzLvfO8SJGpbKsb6OwtLyyulZcNzc2t7Z3Srt7LRnGApMmDlkoOh6ShFFOmooqRjqRICjwGGl7o+vMbz8QIWnIG2ocETdAA059ipHSUq906AyRSh7TXtI4tVPoUA6dAKmh5yV36b0OlK2KNQFcJHZOyiBHvVf6cfohjgPCFWZIyq5tRcpNkFAUM5KaTixJhPAIDUhXU44CIt1k8o8UHmulD/1Q6McVnKh/JxIUSDkOPJ3MbpTzXib+53Vj5V+6CeVRrAjH00V+zKAKYVYK7FNBsGJjTRAWVN8K8RAJhJWuzpxZ4wWpqVux5ztYJK2zil2tVG/Py7WrvJ8iOABH4ATY4ALUwA2ogybA4Am8gFfwZjwb78aH8TmNFox8Zh/MwPj6BTY3n/s=</latexit> ˆ xT +1 → Rn <latexit sha1_base64="u8nHGaxs7hSZ5JQOliS2fHYpBKQ=">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</latexit> fT +1 : Zn → Z ↑ {+↓} ϦάϨοτอূΛग़ͤΔ ఆৗͰͳ͍৔߹ʹ࣮ࡍͷੑೳ͸ྼΔ͔΋ʁʢΠϯελϯεΛݟͣʹ༧ଌΛग़ྗʣ ໰୊ͷ࣍ݩ͸ݻఆ <latexit sha1_base64="E37HyAW66QaDacwEKbCGrbyQzvc=">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</latexit> (n) ࣮ࡍʹඃͬͨଛࣦͷ࿨ ࠷దݻఆઓུͷଛࣦͷ࿨ ϦάϨοτ ʢ̢ತͷ৔߹ʣ <latexit sha1_base64="gdf/0zJzYevTCm5N8HtvXijH2DM=">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</latexit> RegT = T t=1 →x→ t ↑ ˆ xt →± 1 ↑ min x↑Rn T t=1 →x→ t ↑ x→± 1
  30. /24 ΦϯϥΠϯತ࠷దԽ໰୊ 35 Input: Output: ತؔ਺ ΦϯϥΠϯತ࠷దԽ ʢॱ൪ʹʣ ʢ ͷग़ྗ࣌ʹ͸

    ͷΈΛࢀরՄೳʣ <latexit sha1_base64="TkmsZCj/GeAEjvd+yMV2VIk8Elg=">AAACAHicbVDLSsNAFJ34rPFVdelmsAiuSiJSXRbduKxgH9CGMplO2qEzkzBzI4TQjZ/gVj/Anbj1T1z7I07bLGzrgQuHc+7l3nvCRHADnvftrK1vbG5tl3bc3b39g8Py0XHLxKmmrEljEetOSAwTXLEmcBCsk2hGZChYOxzfTf32E9OGx+oRsoQFkgwVjzglYKVOb0QAZ33olyte1ZsBrxK/IBVUoNEv//QGMU0lU0AFMabrewkEOdHAqWATt5calhA6JkPWtVQRyUyQz+6d4HOrDHAUa1sK8Ez9O5ETaUwmQ9spCYzMsjcV//O6KUQ3Qc5VkgJTdL4oSgWGGE+fxwOuGQWRWUKo5vZWTEdEEwo2IndhTSgnrk3FX85glbQuq36tWnu4qtRvi3xK6BSdoQvko2tUR/eogZqIIoFe0Ct6c56dd+fD+Zy3rjnFzAlagPP1C7JblpA=</latexit> ˆ yt <latexit sha1_base64="U3ZMHU3tNs2Mx+xDivq5rcxx2II=">AAACGnicbVDLSsNAFJ34rPEVdelmsAguaklEqsuiG5cV7APaECbTaTt08mDmplBCtn6Fn+BWP8CduHXj2h9x2gaxrQcuHM65d+7c48eCK7DtL2NldW19Y7OwZW7v7O7tWweHDRUlkrI6jUQkWz5RTPCQ1YGDYK1YMhL4gjX94e3Eb46YVDwKH2AcMzcg/ZD3OCWgJc/CnRGR8YB7Tgl3uhEoWvqVUjh3Ms8q2mV7CrxMnJwUUY6aZ33rd2gSsBCoIEq1HTsGNyUSOBUsMzuJYjGhQ9JnbU1DEjDlptNLMnyqlS7uRVJXCHiq/p1ISaDUOPB1Z0BgoBa9ifif106gd+2mPIwTYCGdLeolAkOEJ7HgLpeMghhrQqjk+q+YDogkFHR45twaP8hMnYqzmMEyaVyUnUq5cn9ZrN7k+RTQMTpBZ8hBV6iK7lAN1RFFj+gZvaBX48l4M96Nj1nripHPHKE5GJ8/4EmgQg==</latexit> ω1, . . . , ωt→1 Objective: ϦάϨοτ ͷ࠷খԽ <latexit sha1_base64="A+PuY0DcQOnuiAjaE+CK0CSIdJk=">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</latexit> ω1, . . . , ωT : [→C, +C]n ↑ R <latexit sha1_base64="/TLE16I+07uFf9Az3pKHFsLdKtE=">AAACJXicbVDLSgMxFM3UV62vqks3wSIIrWVGpLosduOyQl/QjiWTpm1oJjMkd4Rh6Ef4FX6CW/0AdyK4cuGPmD4WtvVAyOGc+0iOFwquwba/rNTa+sbmVno7s7O7t3+QPTxq6CBSlNVpIALV8ohmgktWBw6CtULFiO8J1vRGlYnffGRK80DWIA6Z65OB5H1OCRipm813hgRw3HUKuNMLQFNzz5Qa7nCJk/ZFpYDzFXf8YKpzdtGeAq8SZ05yaI5qN/tjZtLIZxKoIFq3HTsENyEKOBVsnOlEmoWEjsiAtQ2VxGfaTaafGuMzo/RwP1DmSMBT9W9HQnytY98zlT6BoV72JuJ/XjuC/o2bcBlGwCSdLepHAkOAJwnhHleMgogNIVRx81ZMh0QRCibHzMIazx9nTCrOcgarpHFZdErF0v1Vrnw7zyeNTtApOkcOukZldIeqqI4oekIv6BW9Wc/Wu/Vhfc5KU9a85xgtwPr+BXckous=</latexit> ˆ y1, . . . , ˆ yT → [↑C, +C]n <latexit sha1_base64="ENM4mn7JE5PoFDn5o+K4FeLPZLc=">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</latexit> RegT = T t=1 ωt(ˆ yt) → min y→[↑C,+C]n T t=1 ωt(y) ςΩτ΢ʹ΍Ε͹ɹɹɹɹɹɹɽΑͬͯɼɹɹɹɹɹɹͱͳΔΞϧΰϦζϜ͕΄͍͠ɽ <latexit sha1_base64="I9nDOwEmP25AVP7w8F7Ica4xVo4=">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</latexit> RegT = O(T) <latexit 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RegT = o(T) <latexit 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ˆ y1 ತؔ਺͸ɹͰͨ͠ʂ <latexit 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ω1 ತؔ਺͸ɹͰͨ͠ʂ <latexit 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ω2 <latexit 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ˆ y2 ʜ ತؔ਺͸ɹͰͨ͠ʂ <latexit 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ˆ y3 <latexit 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ω3
  31. /24 ྼޯ഑ɹɹɹɹɹͷͱ͖ɼֶश཰ΛɹɹɹɹɹͱఆΊΕ͹ɼ ΦϯϥΠϯྼޯ഑߱Լ๏ 36 ఆཧ [Cf. Orabona ’20] <latexit sha1_base64="xi5JDZbXbcZh1JRkxEW5V4CFbsk=">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</latexit>

    →zt →2 ↑ L <latexit 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ω = C L n T <latexit 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RegT → CL ↑ nT for : Play <latexit sha1_base64="TkmsZCj/GeAEjvd+yMV2VIk8Elg=">AAACAHicbVDLSsNAFJ34rPFVdelmsAiuSiJSXRbduKxgH9CGMplO2qEzkzBzI4TQjZ/gVj/Anbj1T1z7I07bLGzrgQuHc+7l3nvCRHADnvftrK1vbG5tl3bc3b39g8Py0XHLxKmmrEljEetOSAwTXLEmcBCsk2hGZChYOxzfTf32E9OGx+oRsoQFkgwVjzglYKVOb0QAZ33olyte1ZsBrxK/IBVUoNEv//QGMU0lU0AFMabrewkEOdHAqWATt5calhA6JkPWtVQRyUyQz+6d4HOrDHAUa1sK8Ez9O5ETaUwmQ9spCYzMsjcV//O6KUQ3Qc5VkgJTdL4oSgWGGE+fxwOuGQWRWUKo5vZWTEdEEwo2IndhTSgnrk3FX85glbQuq36tWnu4qtRvi3xK6BSdoQvko2tUR/eogZqIIoFe0Ct6c56dd+fD+Zy3rjnFzAlagPP1C7JblpA=</latexit> ˆ yt <latexit sha1_base64="41LBtn9OCmeTAJapNln87uXBHzE=">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</latexit> t = 1, . . . , T Take and <latexit sha1_base64="BqKaQSST5SMopMcwcmnT6r8lJVM=">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</latexit> ˆ y1 → [↑C, +C]n ྼޯ഑ ֶश཰ ΁ͷࣹӨ <latexit 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[→C, +C]n <latexit 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ω2 Online-to-Batch conversionͱ͍͏ςΫχοΫ[Cutkosky ‘19]ʹΑΓɼ ֬཰త࠷దԽ໰୊ʹର͢ΔΞϧΰϦζϜʹ΋มܗͰ͖Δʢৄࡉུʣ <latexit sha1_base64="PO65AuHnOZMuVVqpAtE5mHnnc8I=">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</latexit> zt → ωεt(ˆ yt) <latexit sha1_base64="NGGfbqeiDRVrjqv7jxWqwguub6A=">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</latexit> ˆ yt+1 → !C(ˆ yt ↑ ωzt)
  32. /24 ཭ࢄತؔ਺࠷খԽͷ༧ଌʹର͢ΔΦϯϥΠϯ࠷దԽ 37 ̢ತ ଛࣦؔ਺ <latexit sha1_base64="K7bKx6DUxVAsnruY7FUCt5jgENE=">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</latexit> ωt(x) = →x

    ↑ x→ t →± 1 = 1 2 →x ↑ x→ t → 1 ྼޯ഑ɹɹɹɹͷܭࢉ͸༰қ ͸ತؔ਺ <latexit sha1_base64="BqEwGaUjU0Kodj/tCar7yGDnazc=">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</latexit> ωεt(x) ̡ತ ଛࣦؔ਺ ͸ڑ཭ؔ਺ɹɹɹɹɹɹɹͱ ͸࣮͸ತؔ਺ <latexit sha1_base64="qf6PNunObHcYLFo487lA/2OFvEA=">AAACAXicbVA9TwJBEJ3DLzy/UEubjcTEitwZg5ZEG0tMBDRwIXvLHmzY3bvs7pGQC5U/wVZ/gJ2x9ZdY+0dc4AoBXzLJy3szmZkXJpxp43nfTmFtfWNzq7jt7uzu7R+UDo+aOk4VoQ0S81g9hlhTziRtGGY4fUwUxSLktBUOb6d+a0SVZrF8MOOEBgL3JYsYwcZKT50RVsmAdU23VPYq3gxolfg5KUOOerf00+nFJBVUGsKx1m3fS0yQYWUY4XTidlJNE0yGuE/blkosqA6y2cETdGaVHopiZUsaNFP/TmRYaD0Woe0U2Az0sjcV//PaqYmug4zJJDVUkvmiKOXIxGj6PeoxRYnhY0swUczeisgAK0yMzchdWBOKiWtT8ZczWCXNi4pfrVTvL8u1mzyfIpzAKZyDD1dQgzuoQwMICHiBV3hznp1358P5nLcWnHzmGBbgfP0C+JqXTg==</latexit> ωt <latexit sha1_base64="QLK+QZYv1N4GEav/mzHpOIY4V3k=">AAACHXicbVDLSgMxFM34rPVVdekmWAQRLDMi1WXRjcsK9gGdacmkmTY0yYQkIwy1H+BX+Alu9QPciVtx7Y+YtrOwrQcCh3PO5eaeUDKqjet+O0vLK6tr67mN/ObW9s5uYW+/ruNEYVLDMYtVM0SaMCpIzVDDSFMqgnjISCMc3Iz9xgNRmsbi3qSSBBz1BI0oRsZKnUJRQp8jqU0M/UcoITyDsn1qecenIjJp25fcptySOwFcJF5GiiBDtVP48bsxTjgRBjOkdctzpQmGSBmKGRnl/UQTifAA9UjLUoE40cFwcswIHlulC6NY2ScMnKh/J4aIa53y0CY5Mn09743F/7xWYqKrYEiFTAwReLooShi0p4+bgV2qCDYstQRhRe1fIe4jhbCx/eVn1oR8lLetePMdLJL6eckrl8p3F8XKddZPDhyCI3ACPHAJKuAWVEENYPAEXsAreHOenXfnw/mcRpecbOYAzMD5+gULCaDL</latexit> p →↑ ↓p ↔ p→↓± ↑ ͷ߹੒ੵ ತؔ਺ಉ࢜ͷ߹੒ੵ͸ತؔ਺ɽ <latexit sha1_base64="QvGEjwKLjTEH5NcchXn4xUZs5cU=">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</latexit> (f1 ⇤ f2)(x) := min y2Rn {f1(y) + f2(x y)} (x 2 Rn) <latexit sha1_base64="MQHhBgfVZAipnXnEcbIvvAFETww=">AAACLHicbVDLSgMxFM34rPVVdekmWAQFKTNFqsuiG5cKVoXOMGTStA3NY0juFMow/+FX+Alu9QPciLgS/A7T2oVVDwQO59zLuTlJKrgF33/15uYXFpeWSyvl1bX1jc3K1vaN1ZmhrEW10OYuIZYJrlgLOAh2lxpGZCLYbTI4H/u3Q2Ys1+oaRimLJOkp3uWUgJPiSj3UKTMEtFFEspxqNSzwwawYEtMLjyRXBe7FcBhXqn7NnwD/JcGUVNEUl3HlI+xomkmmgApibTvwU4hyYoBTwYpymFmWEjogPdZ2dJxpo3zytwLvO6WDu9q4pwBP1J8bOZHWjmTiJiWBvv3tjcX/vHYG3dMo5yrNgCn6HdTNBAaNx0XhDjeMghg5Qqjh7lZM+8QQCq7O8kxMIouyayX43cFfclOvBY1a4+q42jyb9lNCu2gPHaAAnaAmukCXqIUoukeP6Ak9ew/ei/fmvX+PznnTnR00A+/zC34QqQU=</latexit> conv(arg min gt) <latexit sha1_base64="z8GNmFRoAPN7B999vB9rB1ESy0M=">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</latexit> ωt(p) = min{ →p ↑ p→→± ↑ | p→ ↓ conv(arg min gt)} ͷࢦࣔؔ਺ <latexit sha1_base64="BppWOPskTUwqj9/Bf8BCR0h5TpA=">AAACg3icbVHdatRAGJ1EqzX+rYpXgg4uyi4tS1JK9aZQ9MbLCm5b2FnCZPIlO3QyE2a+VJeQB/ARvfYBfAUn21y4rR8MHM75fg5nslpJh3H8Kwjv3N25d3/3QfTw0eMnT0fPnp8501gBc2GUsRcZd6CkhjlKVHBRW+BVpuA8u/zc6+dXYJ00+huua1hWvNSykIKjp9LRT5aDQp7ipJ5SekxZBqXUrfArXRdRGtP3dFJTJjVlpgbL0VjNK2iF0VfdZJvjtmT7ldQdLVOcTiljfsOeny1w3e9hCD+wNbgC+1066KYRA50Px9LROJ7Fm6K3QTKAMRnqNB39ZrkRTQUaheLOLZK4xqU3gVIo6CLWOKi5uOQlLDzsHbplu4mso+88k9PCWP800g3770TLK+fWVeY7K44rd1Pryf9piwaLj8tW6rpB0OL6UNEoiob2+dNcWhCo1h5wYaX3SsWKWy7Q/1K0dSarusinktzM4DY4O5glR7Ojr4fjk09DPrvkFXlLJiQhH8gJ+UJOyZwI8id4GbwO3oQ74V54EB5et4bBMPOCbFV4/BdTsMEr</latexit> ωt(p) = 0 (p → conv(arg min gt)) +↑ (otherwise) ྼޯ഑ɹɹɹɹͷݩ͸Ͳ͏΍ͬͯܭࢉ͢Δʁʢ࣍ทʣ <latexit sha1_base64="1HJ2CuAn5dFZrqk0SRAQa6R13xE=">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</latexit> ωεt(p)
  33. /24 Recallɿ̡ತू߹ɹɹɹɹɹɹͷෆ౳ࣜදݱ ̡ತଛࣦͷྼޯ഑ͷܭࢉ 38 <latexit sha1_base64="z8GNmFRoAPN7B999vB9rB1ESy0M=">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</latexit> ωt(p) = min{ →p

    ↑ p→→± ↑ | p→ ↓ conv(arg min gt)} <latexit sha1_base64="rqWJOdGK/GsZvaie7LWZGSahdgQ=">AAACFXicbVDLSgMxFM34rPVVddlNsAgupMyIVJcFQVxWsA/olJJJ02loHkNyRyiloF/hJ7jVD3Anbl279kdMHwvbeiBwOOfmnuREieAWfP/bW1ldW9/YzGxlt3d29/ZzB4c1q1NDWZVqoU0jIpYJrlgVOAjWSAwjMhKsHvWvx379gRnLtbqHQcJaksSKdzkl4KR2Lh/qhBkC2igi2ZCYODyTXI1w3IZ2ruAX/QnwMglmpIBmqLRzP2FH01QyBVQQa5uBn0DLLQVOBRtlw9SyhNA+iVnT0XGibQ0nnxjhE6d0cFcbdxTgifr3xpBIawcycpOSQM8uemPxP6+ZQveqNeQqSYEpOg3qpgKDxuNGcIcbRkEMHCHUcPdWTHvEEAqut+xcTCRHWddKsNjBMqmdF4NSsXR3USjfPE77yaA8OkanKECXqIxuUQVVEUVP6AW9ojfv2Xv3PrzP6eiKN+v0CM3B+/oF196fvw==</latexit> arg min gt <latexit sha1_base64="GIpD7vO5hXomdPWAQUKXW4rkmis=">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</latexit> arg min gt = {p → Zn | pj ↑ pi ↓ ωij (i, j → [n])} ͕༩͑ΒΕΕ͹ɼ ͷܭࢉ͸࠷୹࿏໰୊ʹؼண <latexit sha1_base64="uCpvgPfajJhdr1U8XLaqi8C57YQ=">AAACBHicdVDLSgMxFL1TX7W+qi7dBIvgapgptequ4MZlBacttGPJpJk2NJMZkoxYSrdu3eo/uBO3/oe/4FeY6QOs6IHA4Zz7ygkSzpR2nE8rt7K6tr6R3yxsbe/s7hX3DxoqTiWhHol5LFsBVpQzQT3NNKetRFIcBZw2g+FV5jfvqVQsFrd6lFA/wn3BQkawNpKXdN07p1ssObZ7mQE5dtkxOFuQMnJtZ4oSzFHvFr86vZikERWacKxU23US7Y+x1IxwOil0UkUTTIa4T9uGChxR5Y+nx07QiVF6KIyleUKjqfqzY4wjpUZRYCojrAfqt5eJf3ntVIcX/piJJNVUkNmiMOVIxyj7OeoxSYnmI0MwkczcisgAS0y0yWdpi2CEmvmSPUwKJpxFAuh/0ijbbtWu3lRKtco8pjwcwTGcggvnUINrqIMHBBg8wTO8WI/Wq/Vmvc9Kc9a85xCWYH18A6TAmKs=</latexit> p0 1 <latexit sha1_base64="VRvCg1Q848ZFqnnsjIE0u+HZRco=">AAACBHicdVDLSgMxFM3UV62vqks3wSK4GjJDrboruHFZwWkL7VgyaaYNzWSGJCOWoVu3bvUf3Ilb/8Nf8CvM9AFW9EDgcM595QQJZ0oj9GkVVlbX1jeKm6Wt7Z3dvfL+QVPFqSTUIzGPZTvAinImqKeZ5rSdSIqjgNNWMLrK/dY9lYrF4laPE+pHeCBYyAjWRvKSnnuHeuUKsp3LHBDZLjI4WxAXOjaaogLmaPTKX91+TNKICk04VqrjoET7GZaaEU4npW6qaILJCA9ox1CBI6r8bHrsBJ4YpQ/DWJonNJyqPzsyHCk1jgJTGWE9VL+9XPzL66Q6vPAzJpJUU0Fmi8KUQx3D/OewzyQlmo8NwUQycyskQywx0SafpS2CEWrmS/YwKZlwFgnA/0nTtZ2aXbupVurVeUxFcASOwSlwwDmog2vQAB4ggIEn8AxerEfr1Xqz3melBWvecwiWYH18A6ZemKw=</latexit> p0 2 <latexit sha1_base64="hbatxr3SIwoOBYXO9tQR6AQPkuY=">AAACBHicdVDLSgMxFM34rPVVdekmWARXw0ytVXcFNy4rOG2hHUsmvdOGZjJDkhFL6datW/0Hd+LW//AX/AozfYAVPRA4nHNfOUHCmdKO82ktLa+srq3nNvKbW9s7u4W9/bqKU0nBozGPZTMgCjgT4GmmOTQTCSQKODSCwVXmN+5BKhaLWz1MwI9IT7CQUaKN5CWd0zunUyg6tnuZATt2yTE4m5MSdm1ngiKaodYpfLW7MU0jEJpyolTLdRLtj4jUjHIY59upgoTQAelBy1BBIlD+aHLsGB8bpYvDWJonNJ6oPztGJFJqGAWmMiK6r357mfiX10p1eOGPmEhSDYJOF4UpxzrG2c9xl0mgmg8NIVQycyumfSIJ1SafhS2CUTDzJXsY50048wTw/6Rest2KXbkpF6vlWUw5dIiO0Aly0TmqomtUQx6iiKEn9IxerEfr1Xqz3qelS9as5wAtwPr4Bqf8mK0=</latexit> p0 3 <latexit sha1_base64="fW56sW5re6xP7mv3WSFP+jskrYA=">AAACCnicdVDLSgMxFM34rPVVdekmWARXw8xQq+4KblxWsA+YDiWTZtrQJDMkGbEM8wdu3eo/uBO3/oS/4FeY6QOs6IHA4Zz7ygkTRpV2nE9rZXVtfWOztFXe3tnd268cHLZVnEpMWjhmseyGSBFGBWlpqhnpJpIgHjLSCcfXhd+5J1LRWNzpSUICjoaCRhQjbSS/N0Sco37menm/UnVs96oAdGzPMThfEA+6tjNFFczR7Fe+eoMYp5wIjRlSynedRAcZkppiRvJyL1UkQXiMhsQ3VCBOVJBNT87hqVEGMIqleULDqfqzI0NcqQkPTSVHeqR+e4X4l+enOroMMiqSVBOBZ4uilEEdw+L/cEAlwZpNDEFYUnMrxCMkEdYmpaUtgmJi5kv6kJdNOIsE4P+k7dlu3a7f1qqN2jymEjgGJ+AMuOACNMANaIIWwCAGT+AZvFiP1qv1Zr3PSlesec8RWIL18Q2shpty</latexit> ω12 <latexit sha1_base64="vJr8knANk+fCTxNpRaANH+ARJNU=">AAACCnicdVDLSgMxFM3UV62vqks3wSK4GmZqrboruHFZwT5gOpRMmmlDk8yQZMQyzB+4dav/4E7c+hP+gl9hpg+wogcCh3PuKyeIGVXacT6twsrq2vpGcbO0tb2zu1feP2irKJGYtHDEItkNkCKMCtLSVDPSjSVBPGCkE4yvc79zT6SikbjTk5j4HA0FDSlG2kheb4g4R/3UPcv65Ypju1c5oGNXHYPzBalC13amqIA5mv3yV28Q4YQToTFDSnmuE2s/RVJTzEhW6iWKxAiP0ZB4hgrEifLT6ckZPDHKAIaRNE9oOFV/dqSIKzXhgankSI/Uby8X//K8RIeXfkpFnGgi8GxRmDCoI5j/Hw6oJFiziSEIS2puhXiEJMLapLS0RVBMzHxJH7KSCWeRAPyftKu2W7frt7VKozaPqQiOwDE4BS64AA1wA5qgBTCIwBN4Bi/Wo/VqvVnvs9KCNe85BEuwPr4BriObcw==</latexit> ω13 <latexit sha1_base64="y4izpGQ3apkYxid3oB7DwCmAgUE=">AAACCnicdVDLSgMxFM3UV62vqks3wSK4GmbGWnVXcOOygn3AdCiZNNOGJpkhyYhl6B+4dav/4E7c+hP+gl9hpg+wogcCh3PuKydMGFXacT6twsrq2vpGcbO0tb2zu1feP2ipOJWYNHHMYtkJkSKMCtLUVDPSSSRBPGSkHY6uc799T6SisbjT44QEHA0EjShG2kh+d4A4R73MO5v0yhXHdq9yQMf2HIPzBfGgaztTVMAcjV75q9uPccqJ0JghpXzXSXSQIakpZmRS6qaKJAiP0ID4hgrEiQqy6ckTeGKUPoxiaZ7QcKr+7MgQV2rMQ1PJkR6q314u/uX5qY4ug4yKJNVE4NmiKGVQxzD/P+xTSbBmY0MQltTcCvEQSYS1SWlpi6CYmPmSPkxKJpxFAvB/0vJst2bXbquVenUeUxEcgWNwClxwAergBjRAE2AQgyfwDF6sR+vVerPeZ6UFa95zCJZgfXwDr8GbdA==</latexit> ω23 <latexit sha1_base64="e/Mv4S6ry0Sug2UKHWyml10sHns=">AAACCnicdVDLSgMxFM34rPVVdekmWARXw8xQq+4KblxWsA+YDiWTZtrQJDMkGbEM8wdu3eo/uBO3/oS/4FeY6QOs6IHA4Zz7ygkTRpV2nE9rZXVtfWOztFXe3tnd268cHLZVnEpMWjhmseyGSBFGBWlpqhnpJpIgHjLSCcfXhd+5J1LRWNzpSUICjoaCRhQjbSS/N0Sco37muXm/UnVs96oAdGzPMThfEA+6tjNFFczR7Fe+eoMYp5wIjRlSynedRAcZkppiRvJyL1UkQXiMhsQ3VCBOVJBNT87hqVEGMIqleULDqfqzI0NcqQkPTSVHeqR+e4X4l+enOroMMiqSVBOBZ4uilEEdw+L/cEAlwZpNDEFYUnMrxCMkEdYmpaUtgmJi5kv6kJdNOIsE4P+k7dlu3a7f1qqN2jymEjgGJ+AMuOACNMANaIIWwCAGT+AZvFiP1qv1Zr3PSlesec8RWIL18Q2sh5ty</latexit> ω21 <latexit sha1_base64="z40vaCAuNjhA++BP97Zt190Wf18=">AAACCnicdVDLSgMxFM3UV62vqks3wSK4GmbGWnVXcOOygn3AdCiZNNOGJpkhyYhl6B+4dav/4E7c+hP+gl9hpg+wogcCh3PuKydMGFXacT6twsrq2vpGcbO0tb2zu1feP2ipOJWYNHHMYtkJkSKMCtLUVDPSSSRBPGSkHY6uc799T6SisbjT44QEHA0EjShG2kh+d4A4R73szJv0yhXHdq9yQMf2HIPzBfGgaztTVMAcjV75q9uPccqJ0JghpXzXSXSQIakpZmRS6qaKJAiP0ID4hgrEiQqy6ckTeGKUPoxiaZ7QcKr+7MgQV2rMQ1PJkR6q314u/uX5qY4ug4yKJNVE4NmiKGVQxzD/P+xTSbBmY0MQltTcCvEQSYS1SWlpi6CYmPmSPkxKJpxFAvB/0vJst2bXbquVenUeUxEcgWNwClxwAergBjRAE2AQgyfwDF6sR+vVerPeZ6UFa95zCJZgfXwDr8KbdA==</latexit> ω32 <latexit sha1_base64="NOPFUW6uX56bbOoJjwMv6pRVOYE=">AAACCnicdVDLSgMxFM3UV62vqks3wSK4GmZqrboruHFZwT5gOpRMmmlDk8yQZMQyzB+4dav/4E7c+hP+gl9hpg+wogcCh3PuKyeIGVXacT6twsrq2vpGcbO0tb2zu1feP2irKJGYtHDEItkNkCKMCtLSVDPSjSVBPGCkE4yvc79zT6SikbjTk5j4HA0FDSlG2kheb4g4R/30zM365Ypju1c5oGNXHYPzBalC13amqIA5mv3yV28Q4YQToTFDSnmuE2s/RVJTzEhW6iWKxAiP0ZB4hgrEifLT6ckZPDHKAIaRNE9oOFV/dqSIKzXhgankSI/Uby8X//K8RIeXfkpFnGgi8GxRmDCoI5j/Hw6oJFiziSEIS2puhXiEJMLapLS0RVBMzHxJH7KSCWeRAPyftKu2W7frt7VKozaPqQiOwDE4BS64AA1wA5qgBTCIwBN4Bi/Wo/VqvVnvs9KCNe85BEuwPr4BriWbcw==</latexit> ω31 <latexit sha1_base64="owqQ+Nfw0LIgCOZe2B1xjSxsNo4=">AAACBXicdVDLSgMxFM3UV62vqks3wSK4cZgptequ4MZlBfuAdiyZ9E4bm8kMSUYspWu3bvUf3Ilbv8Nf8CvM9AFW9EDgcM595fgxZ0o7zqeVWVpeWV3Lruc2Nre2d/K7e3UVJZJCjUY8kk2fKOBMQE0zzaEZSyChz6HhDy5Tv3EPUrFI3OhhDF5IeoIFjBJtpPpJ3HFvnU6+4NjuRQrs2EXH4HROiti1nQkKaIZqJ//V7kY0CUFoyolSLdeJtTciUjPKYZxrJwpiQgekBy1DBQlBeaPJtWN8ZJQuDiJpntB4ov7sGJFQqWHom8qQ6L767aXiX14r0cG5N2IiTjQIOl0UJBzrCKdfx10mgWo+NIRQycytmPaJJFSbgBa2CEbBzJfsYZwz4cwTwP+TetF2y3b5ulSolGYxZdEBOkTHyEVnqIKuUBXVEEV36Ak9oxfr0Xq13qz3aWnGmvXsowVYH98TIJji</latexit> →p0 1 <latexit sha1_base64="ru2BIz2aC7xBJZkH7xLGBs3gu1g=">AAACBXicdVDLSgMxFM3UV62vqks3wSK4ccgMtequ4MZlBfuAdiyZNNPGZjJDkhHL0LVbt/oP7sSt3+Ev+BVm+gAreiBwOOe+cvyYM6UR+rRyS8srq2v59cLG5tb2TnF3r6GiRBJaJxGPZMvHinImaF0zzWkrlhSHPqdNf3iZ+c17KhWLxI0exdQLcV+wgBGsjdQ4ibvuLeoWS8h2LjJAZLvI4HROXOjYaIISmKHWLX51ehFJQio04ViptoNi7aVYakY4HRc6iaIxJkPcp21DBQ6p8tLJtWN4ZJQeDCJpntBwov7sSHGo1Cj0TWWI9UD99jLxL6+d6ODcS5mIE00FmS4KEg51BLOvwx6TlGg+MgQTycytkAywxESbgBa2CEaomS/Zw7hgwpknAP8nDdd2Knblulyqlmcx5cEBOATHwAFnoAquQA3UAQF34Ak8gxfr0Xq13qz3aWnOmvXsgwVYH98Uvpjj</latexit> →p0 2 <latexit 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p <latexit 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ωεt(p) <latexit 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ωt(p) = → min e→P εe P : s–t path <latexit 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ωeɿล ͷ௕͞ <latexit 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s <latexit 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t <latexit 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ωεt(p) = → conv e→P ↑pϑe P : shortest s–t path