深層ニューラルネットワークにおける訓練高速化のための自動最適化

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ਂ૚χϡʔϥϧωοτϫʔΫ ʹ͓͚Δ܇࿅ߴ଎ԽͷͨΊͷ ࣗಈ࠷దԽ ۔୔࿨༸ ݐ෦मݟ ஜ೾େֶେֶӃγεςϜ৘ใ޻ֶݚڀՊ ஜ೾େֶܭࢉՊֶݚڀηϯλʔ ۔୔࿨༸ ݐ෦मݟਂ૚χϡʔϥϧωοτϫʔΫʹ͓͚Δ܇࿅ߴ଎Խͷͨ Ίͷࣗಈ࠷దԽ ৘ใॲཧֶձୈճ)1$ݚڀձใࠂ )1$ 7PM )1$ /P .BS !ੴ઒ࢁ୅Թઘྤཨޫ

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ൃද಺༰ w ݚڀഎܠ w ؔ࿈ݚڀʢϋΠύʔύϥϝʔλνϡʔχϯάɼ෼ࢄ%//ʣ w ༧උ࣮ݧ w ఏҊख๏ w ఏҊख๏(16ར༻཰Λར༻ͨ͠࠷దԽ w ఏҊख๏܇࿅ॲཧ࣌ؒͷਪҠΛར༻ͨ͠࠷దԽ w ධՁ࣮ݧ w ݁࿦ 2

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ݚڀͷഎܠʢʣ w ۙ೥ɼਂ૚χϡʔϥϧωοτϫʔΫʢҎԼ%//ʣΛ༻͍ ͨػցֶशͷར༻͕׆ൃԽ Ґ Ґ Ґ ̐Ґ Ґ Ґ Ґ IUUQJNBHFOFUPSHDIBMMFOHFT-473$SFTVMUTIUNMΑΓҾ༻ #FUUFS *-473$ͷ ը૾ೝࣝ෦໳ͷUPQ Τϥʔ཰<> "MFY/FU ৞ΈࠐΈχϡʔϥϧ ωοτϫʔΫ Λ࠾༻ 3

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ݚڀͷഎܠʢʣ Ϟσϧͷઃܭ ϋΠύʔ ύϥϝʔλͷ ܾఆ ܇࿅ॲཧ ܇࿅ࡁΈ ϞσϧͷධՁ ਺࣌ؒʙ਺೔ؒ ϑΟʔυόοΫ ܇࿅࣌ؒͷ௕ظԽ ঎༻αʔϏεʹ͓͍ͯ ػձଛࣦͷՄೳੑ͕ݒ೦͞ΕΔ 4

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w %//ͷ܇࿅࣌ؒ୹ॖͷͨΊͷΞϓϩʔν w (16ͷ࠾༻ w ϛχόον܇࿅ͷ࠾༻ w ෼ࢄॲཧԽ w ઐ༻ϋʔυͷ࠾༻ w Ϟσϧѹॖ ݚڀͷഎܠʢʣ ຊݚڀͰѻ͏ྖҬ 5

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ݚڀͷ໨త w ϊʔυ(16ͷ؀ڥʹ͓͍ͯɼϛχόονͷύϥϝʔλͰ͋Δ ϛχόοναΠζΛɼ܇࿅࣌ؒΛ࠷খԽ͢ΔΑ͏ʹࣗಈͰ࠷ద Խ͢Δख๏ΛఏҊ͢Δ w ఏҊख๏ΛػցֶशϑϨʔϜϫʔΫ$IBJOFSʹ࣮૷͠ධՁΛߦ͏ 6

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ؔ࿈ݚڀʢʣ w ෼ࢄॲཧΛ༻͍ٖͯࣅతʹେن໛ͳϛχόον܇࿅Λ࣮ݱ w ύϥϝʔλαʔόΛ༻͍ͨඇಉظ෼ࢄฒྻ܇࿅ <%FBOFUBM > w .1*ͷ"MM3FEVDFΛ༻͍ͨಉظ෼ࢄฒྻ܇࿅ <"LJCBFUBM > େྔͷܭࢉϊʔυΛલఏͱͨ͠ख๏Ͱ͋Γɼϊʔυ୯ҐͰͷ࠷దԽ·Ͱ ͸ߟྀ͍ͯ͠ͳ͍ ຊݚڀͰ͸ϊʔυ(16୯ҐͰͷ܇࿅଎౓Λ޲্ͤ͞ɼ ෼ࢄ܇࿅ʹద༻ͯ͠΋ߴ଎Խʹد༩Ͱ͖Δख๏ΛఏҊ͢Δ 7

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ؔ࿈ݚڀʢʣ w ػցֶशϞσϧͷਫ਼౓Λ࠷େԽ͢ΔϋΠύʔύϥϝʔλ νϡʔχϯά w 3BOEPNTFBSDI ໦ߏ଄1BS[FOਪఆثΛ࢖༻ͨ͠ख๏ <#FSHTUSBFUBM > w ϕΠζ࠷దԽΛ༻͍ͨख๏<4OPFLFUBM > ܇࿅଎౓Λ࠷େԽ͢ΔͨΊͷϋΠύʔύϥϝʔλνϡʔχϯάख๏͸ ͜Ε·ͰఏҊ͞Ε͍ͯͳ͍ ຊݚڀͰ͸܇࿅଎౓Λ࠷େԽ͢ΔͨΊͷϛχόον αΠζͷࣗಈ࠷దԽख๏Λݕ౼ 8

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ϛχόον܇࿅ʹ͍ͭͯ ʢʣ ϛχόονΛ࠾༻ͤͣʹ܇࿅͢Δ৔߹ɼ ܇࿅σʔλͷ਺͕܇࿅ճ਺ʹ௚݁͢Δ ܇࿅σʔλ͕ ຕ ࠷௿Ͱ΋ JUFSBUJPOͷ܇࿅͕ඞཁ 9

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܇࿅σʔλ͕ ຕ JUFSBUJPO ͷ܇࿅͕ඞཁ ϛχόον͝ͱʹFNCBSSBTTJOHMZQBSBMMFMͳ σʔλฒྻԽ͕Մೳ ϛχόον܇࿅ʹ͍ͭͯ ʢʣ ϛχόονԽʹΑΓ܇࿅ճ਺ͷ࡟ݮ͕ՄೳʹͳΔ 10

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ϛχόοναΠζΛ૿Ճͤ͞ଓ͚Δͱ(16ଆͷԋࢉίετ͕಄ ଧͪʹͳͬͯॲཧ࣌ؒͷ࡟ݮޮՌ͕ࣦΘΕΔ͜ͱ͕૝ఆ͞ΕΔ ϛχόοναΠζ ϛχόοναΠζ ܇࿅࣌ͷ߹ܭԋࢉྔ ߹ܭ܇࿅ॲཧ࣌ؒ ཧ࿦্ͷ܇࿅ॲཧ࣌ؒͷਪҠ ʢը૾ຕ͋ͨΓͷॲཧ͕࣌ؒ Ұఆͷ৔߹ʣ ཧ࿦্ͷԋࢉྔͷਪҠ U U O O ϛχόον܇࿅ʹ͍ͭͯ ʢʣ 11 Ұൠతʹ͸ɼͳͲ͕ϛχόοναΠζͱͯ͠࢖༻͞Ε͍ͯΔ͕ ϛχόοναΠζΛܾఆ͢Δ٬؍తͳࢦඪ͸஌ΒΕ͍ͯͳ͍

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༧උ࣮ݧʢʣ w ϛχόοναΠζΛͷൣғͰม͑ͳ͕Β৞ΈࠐΈ χϡʔϥϧωοτϫʔΫʢ7((̍̒ʣΛ܇࿅ͯ͠ɺҎԼͷ ؔ܎Λௐࠪ͢Δ w ϛχόοναΠζͱ܇࿅࣌ؒͷؔ܎ w ϛχόοναΠζͱฏۉ(16ར༻཰ͷؔ܎ ฏۉ(16ར༻཰܇࿅தʹOWQSPGͰඵִؒͰܭଌͨ͠஋ͷฏۉ஋ 12

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༧උ࣮ݧʢʣ ϛχόοναΠζΛ૿΍͢ը૾ຕ͋ͨΓͷ܇࿅͕࣌ؒ୹ॖ ϛχόοναΠζ͝ͱͷ܇࿅ॲཧ࣌ؒͷਪҠ ϛχόοναΠζ͕ Λ௒͑ͨ౰ͨΓͰมԽ͕ऩଋ ͠εέʔϧ͠ͳ͘ͳΔ 'BTUFS 13

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༧උ࣮ݧʢʣ ϛχόοναΠζΛ૿΍͢ฏۉ(16ར༻཰্͕ঢ ϛχόοναΠζ͝ͱͷฏۉ(16ར༻཰ͷਪҠ ϛχόοναΠζ͕ Λ௒͑ͨ౰ͨΓͰ ฏۉ(෇ۙʹ౸ୡ 14

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༧උ࣮ݧʢʣ ϛχόοναΠζΛա৒ʹ૿΍͢ϞσϧͷੑೳʹѱӨڹ FQPDI ը૾ೝࣝਖ਼ղ཰ #FUUFS ϛχόοναΠζ͝ͱͷϞσϧੑೳ 15

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༧උ࣮ݧ͔Βߟ͑ΒΕΔԾઆ ϛχόοναΠζΛ૿΍͢ w ը૾ຕ͋ͨΓͷ܇࿅͕࣌ؒݮগ w ฏۉ(16ར༻཰্͕ঢ w ྆ऀͱ΋ҰఆͷαΠζͰऩଋ w ա৒ʹ૿΍͢ͱϞσϧੑೳʹѱӨڹ ฏۉ(16ར༻཰ͷมԽ͕ऩଋ࢝͠ΊΔલޙͷ ϛχόοναΠζ͕܇࿅࣌ؒΛ࠷খԽ͢Δ ༧උ࣮ݧΑΓ 16 खಈͰϛχόοναΠζ͝ͱʹ(16ར༻཰Λܭଌ͠ͳ͕Β ϚχϡΞϧͰϛχόοναΠζΛௐ੔͢Δͷ͸ඇৗʹख͕͔͔ؒΔ

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ఏҊख๏ w ҎԼ̎ͭͷख๏ΛఏҊ w ఏҊख๏ ฏۉ(16ར༻཰͕ࢦఆͨ͠஋ʹۙͮ͘Α͏ʹ ܇࿅Λߦ͍ͳ͕ΒϛχόοναΠζΛ ࣗಈͰ࠷దԽ w ఏҊख๏ ܇࿅ॲཧ࣌ؒͷมԽ͕࠷খʹͳΔΑ͏ʹ܇࿅ Λߦ͍ͳ͕ΒϛχόοναΠζΛࣗಈͰ࠷దԽ 17

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ఏҊख๏ʢʣ ᶃฏۉ(16ར༻཰͕໨ඪͷ஋ ྫ͑͹ ʹ ۙͮ͘Α͏ʹϛχόοναΠζΛมԽͤ͞Δ ᶄϛχόοναΠζͷมԽ͕ ऩଋͨ͠Βͦ͜Λ࠷ద஋ͱͯ͠ ࠾༻͢Δ ໨ඪͷฏۉ(16ར༻཰ ܭଌͨ͠ฏۉ(16ར༻཰ ͕ ࠷খʹͳΔΑ͏ʹ࠷దԽ 18

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ఏҊख๏ʢʣ /ճ܇࿅Λߦ͏ ্Ґͷܭଌ஋͔Βฏۉ(16ར༻཰Λܭࢉ ඵ͝ͱͷ(16ར༻཰ ΛOWNMͰඇಉظͰܭଌ ϛχόοναΠζΛௐ੔ ฏۉ(16ར༻཰͕໨ඪͷ஋ΑΓখ͍͞ ૿Ճ࡟ݮ ϛχόοναΠζΛॳظԽ ϛχόοναΠζͷมԽ͕ऩଋͨ͠ 'BMTF 5SVF ࠷దԽऴྃ ॲཧϑϩʔ 19

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ఏҊख๏̎ʢʣ ᶃॳظϛχόοναΠζͷ ॲཧ࣌ؒΛϕʔεϥΠϯͱ͢Δ ᶄϕʔεϥΠϯ͔Βͷॲཧ࣌ؒͷվળ཰͕ ऩଋͨ͠Βͦͷ࣌఺ͷϛχόοναΠζΛ ɹ࠷ద஋ͱͯ͠࠾༻͢Δ ϕʔεϥΠϯ͔Βͷ܇࿅ॲཧ࣌ؒͷվળ཰͕มԽ͠ͳ͘ͳΔ·Ͱ ϛχόοναΠζΛ૿Ճͤ͞Δ 20

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ఏҊख๏̎ʢʣ FQPDI౰ͨΓͷ܇࿅ॲཧ࣌ؒ JUFSBUJPO౰ͨΓͷॲཧ࣌ؒY FQPDIʹඞཁͳΠςϨʔγϣϯ਺ σʔλαΠζϛχόοναΠζʣ 21 ϕʔεϥΠϯͷ܇࿅ॲཧ࣌ؒ ϛχόον͝ͱͷ܇࿅ॲཧ࣌ؒ ϕʔεϥΠϯͷ܇࿅ॲཧ࣌ؒ FQPDI౰ͨΓͷ܇࿅ॲཧ࣌ؒͷվળ཰

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ఏҊख๏̎ʢʣ /ճ܇࿅Λߦ͍ɼॲཧ࣌ؒΛܭଌ FQPDI͋ͨΓͷ܇࿅ॲཧ࣌ؒվળ཰Λࢉग़ ϛχόοναΠζΛ૿Ճ ϛχόοναΠζΛॳظԽ FQPDI͋ͨΓͷ܇࿅ॲཧ࣌ؒվળ཰ͷมԽ͕ऩଋͨ͠ʁ 'BMTF 5SVF ࠷దԽऴྃ ॲཧϑϩʔ ॳճͷܭଌ஋Λϕʔε ϥΠϯͱͯ͠อଘ 22

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$IBJOFSΛ༻͍࣮ͨ૷ํ๏ .PEFMΛΠϯελϯεԽ NPEFM7(( 0QUJNJ[FSΛΠϯελϯεԽͯ͠.PEFMͱώϞ෇ PQUJNJ[FS.PNFOUVN4(% NPEFM ςετσʔλΛϩʔυͯ͠*UFSBUPSΛΠϯελϯεԽ JUFSBUPS4FSJBM*UFSBUPS HFU@DJGBS 6QEBUFSΛΠϯελϯεԽͯ͠JUFSBUPS PQUJNJ[FSͱώϞ෇ VQEBUFS4UBOEBSE6QEBUFS JUFSBUPS PQUJNJ[FS 5SBJOFSΛΠϯελϯεԽͯ͠VQEBUFSͱώϞ෇ USBJOFS5SBJOFS VQEBUFS ఏҊख๏Λ࣮૷ͨ͠&YUFOTJPOΛ௥Ճ USBJOFSFYUFOE .JOJCBUDI4J[F0QUJNJ[FS ܇࿅ϧʔϓΛ࣮ߦ USBJOFSSVO $IBJOFSΛ༻͍ͨ܇࿅ॲཧεΫϦϓτͷ࣮૷ྫͱओཁΫϥεͷॴ༗ؔ܎ 23

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ධՁ࣮ݧ֓ཁʢʣ w ఏҊख๏ Λ༻͍ͯҎԼͷ಺༰ΛධՁ͢Δ w ҙਤͨ͠ͱ͓Γʹ࠷దԽ͕ਐΈऩଋ͢Δ͔Ͳ͏͔ w ऩଋ৚݅ w ఏҊख๏ϛχόοναΠζͷมԽ͕Ҏ಺ w ఏҊख๏FQPDI͋ͨΓͷॲཧ࣌ؒվળ཰͕Ҏ಺ 24

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ධՁ࣮ݧ֓ཁʢʣ ࢖༻͢ΔσʔληοτͱωοτϫʔΫͷ૊Έ߹Θͤ σʔληοτʢը૾ղ૾౓ʣ ωοτϫʔΫ $JGBSʢYʣ 7(( $JGBSʢYʣ 3FT/FU *NBHF/FULʢYʣ 7(( *NBHF/FULʢYʣ 3FT/FU 25

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ධՁ࣮ݧ֓ཁʢʣ ධՁ؀ڥ TQFD $16 9FPO 3 $16&W!()[Y .FNPSZ (J# (16 /7*%*"5FTMB7(J# 04 $FOU04 1ZUIPO $IBJOFS B GPSL࣌఺ $6%" DV%// W 26

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ఏҊख๏̍ʹ͓͚Δ $JGBSͷධՁ݁Ռ $JGBSͷ ฏۉ(16ར༻཰ऩଋͷ༷ࢠ 7(( 3FT/FU w ࠷దԽͷਐߦͱڞʹฏۉ(16ར༻཰͕૿Ճ w ϛχόοναΠζͱฏۉ(16ར༻཰ͱͷؒʹਖ਼ͷ૬ؔੑ͕ݟΒΕΔ 27 $JGBSͷϛχόοναΠζͱ ฏۉ(16ར༻཰ͷؔ܎ 7(( 3FT/FU )JHIFS ࠷దԽਐḿ େ খ

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*NBHF/FULͷ ฏۉ(16ར༻཰ऩଋͷ༷ࢠ 7(( 3FT/FU $JGBSͱಉ༷ͷ܏޲͕ݟΒΕΔ͕ܭଌ͞Εͨ(16ར༻཰ͷ෼ࢄ͕େ͖͍ ఏҊख๏̍ʹ͓͚Δ *NBHF/FULͷධՁ݁Ռ 28 7(( 3FT/FU *NBHF/FULͷϛχόοναΠζͱ ฏۉ(16ར༻཰ͷؔ܎ )JHIFS ࠷దԽਐḿ େ খ

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ఏҊख๏̎ʹ͓͚Δ $JGBSͷධՁ݁Ռ $JGBSͷ܇࿅ॲཧ࣌ؒ վળ཰ऩଋͷ༷ࢠ #FUUFS 29 7(( 3FT/FU $JGBSͷϛχόοναΠζͱ ܇࿅ॲཧ࣌ؒվળ཰ͷؔ܎ w ࠷దԽͷਐߦͱڞʹFQPDI౰ͨΓͷॲཧ࣌ؒվળ཰͕૿Ճ w ϛχόοναΠζͱվળ཰ͱͷؒʹਖ਼ͷ૬ؔੑ͕ݟΒΕΔ ࠷దԽਐḿ େ খ

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ఏҊख๏̎ʹ͓͚Δ *NBHF/FULͷධՁ݁Ռ *NBHF/FULͷ܇࿅ॲཧ࣌ؒ վળ཰ऩଋͷ༷ࢠ $JGBSͷධՁ݁Ռͱ΄΅ಉ౳ͷ܏޲Λ͕ࣔ͢ $JGBSΑΓվળ཰͕௿͍ 30 7(( 3FT/FU *NBHF/FULͷϛχόοναΠζͱ ܇࿅ॲཧ࣌ؒվળ཰ͷؔ܎ #FUUFS ࠷దԽਐḿ େ খ

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ಘΒΕͨ࠷ద஋Λ༻͍ͯ FQPDI܇࿅ͨ݁͠Ռ $JGBSͷܭଌ݁Ռ *NBHF/FULͷܭଌ݁Ռ #FUUFS ಘΒΕͨϛχόονͷ࠷ద஋Λ༻͍ͯFQPDIͷ܇࿅Λߦ͍ ܇࿅࣌ؒΛܭଌͨ݁͠ՌɼͲͷέʔεʹ͓͍ͯ΋ϕʔεϥΠϯ͔Βվળ͕ݟΒΕͨ CBTF QSPQPTFE QSPQPTFE CBTF QSPQPTFE QSPQPTFE #FUUFS 31

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ධՁ݁Ռ·ͱΊ ධՁύλʔϯ ఏҊख๏ ఏҊख๏̎ ύλʔϯ ύλʔϯ ύλʔϯ ύλʔϯ ࠷ద஋ͱͯ͠ಘΒΕͨϛχόοναΠζ ࠷ద஋ͱͯ͠ಘΒΕͨϛχόοναΠζΛൺֱ͢Δͱ ࠷దԽख๏ؒຖͰ͕ࠩݟΒΕͨ 32

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$JGBSͰͷධՁ݁Ռ ʹ͓͚Δߟ࡯ʢʣ ύλʔϯ ʢ$JGBSʣʹ͓͚Δ྆ख๏ͰಘΒΕͨ࠷ద஋ͱվળ཰ͷൺֱ 7(( 3FT/FU ఏҊख๏Ͱ ಘΒΕͨ࠷ద஋ ఏҊख๏̎Ͱ ಘΒΕͨ࠷ద஋ #FUUFS $JGBSͰಘΒΕͨ࠷ద஋͸ఏҊख๏̎ख๏ͷํ͕࠷ద 33

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$JGBSͰͷධՁ݁Ռ ʹ͓͚Δߟ࡯ʢʣ #FUUFS 7(( 3FT/FU ఏҊख๏ ఏҊख๏ ฏۉ(16ར༻཰͕ۙ͘ʹͳͬͨҎ߱΋ ϛχόονʹΑΔॲཧ࣌ؒͷ࡟ݮޮՌ͕֬ೝ͞ΕΔ FQPDI౰ͨΓͷ܇࿅ॲཧ͕࣌ؒ ϛχόοναΠζͷมԽʹ൓ൺྫ͢ Δ৔߹ͷཧ૝஋ۂઢ ఏҊख๏̎ 34 (16཯଎ ϛχόοναΠζ཯଎

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ύλʔϯ̏ ̐ʢ*NBHF/FULʣʹ͓͚Δ྆ख๏ͰಘΒΕͨ࠷ద஋ͱվળ཰ͷൺֱ 7(( 3FT/FU #FUUFS *NBHF/FULͰಘΒΕͨ࠷ద஋͸྆खํؒͰେ͖ͳࠩ͸ݟΒΕͳ͍ ఏҊख๏ͰಘΒΕͨ࠷ద஋ ఏҊख๏̎Ͱ ಘΒΕͨ࠷ద஋ *NBHF/FULͰͷධՁ݁Ռ ʹ͓͚Δߟ࡯ʢʣ 35

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*NBHF/FULͰͷධՁ݁Ռ ʹ͓͚Δߟ࡯ʢʣ 7(( 3FT/FU #FUUFS ఏҊख๏ ఏҊख๏ (16ʹΑΔߴ଎ԽϛχόονʹΑΔॲཧ࡟ݮޮՌͷ྆ํ͕ ͋·ΓޮՌతͰͳ͍ վળ཰ͷਪҠ͕ॳظ஋͔Βͷ ϛχόοναΠζͷมԽʹൺྫ ͢Δ৔߹ͷվળ཰ਪҠ վળ཰ͷਪҠ͕ॳظ஋͔Βͷ ϛχόοναΠζͷมԽʹͷΈ ൺྫ͢Δ৔߹ͷཧ૝஋ۂઢ 36

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ฏۉ(16ར༻཰ͷ෼ࢄʹ ؔ͢Δߟ࡯ʢʣ $JGBS7(( ύ$JGBS3FT/FU *NBHF/FUL7(( *NBHF/FUL3FT/FU w ฏۉ(16ར༻཰ͷ෼ࢄ͸*NBHF/FUL$JGBS w σʔληοτͷαΠζࠩʹΑͬͯ(16ͷར༻ঢ়گ͕ ҟͳΔՄೳੑ͕ߟ͑ΒΕΔ 37

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*NBHF/FULΛ࢖༻ͨ͠৔߹ɼJUFSBUJPO͝ͱʹ ໿ඵ(16Χʔωϧ͕࣮ߦ͞Ε͍ͯͳ͍࣌ؒଳ͕ଘࡏ͢Δ ܇࿅ॲཧதʢJUFSBUJPOʣͷ(16ར༻ঢ়گΛώʔτϚοϓͱͯ͠ՄࢹԽͨ͠ਤ $JGBS *NBHF/FUL ܇࿅ॲཧதͷ(16Χʔωϧ࣮ߦঢ়گ ฏۉ(16ར༻཰ͷ෼ࢄʹ ؔ͢Δߟ࡯ʢʣ 38 (16͕ར༻͞Ε͍ͯͳ͍࣌ؒଳ͸ ը૾ಡΈࠐΈ࣌ͷ%JTL*0΍ը૾͔Βߦྻ΁ͷม׵ॲཧ͕ߦΘΕ͍ͯΔͱߟ͑ΒΕΔ

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݁࿦ w ຊݚڀͰ͸ɼ(16ར༻཰ͱ܇࿅଎౓ͷվળ཰ʹண໨ͨ͠ϛχόονα Πζͷ࠷దԽख๏ΛఏҊͨ͠ w $JGBSΛ༻͍ͨ܇࿅ʹ͓͍ͯɼϛχόοναΠζͱൺֱͯ͠࠷ େͰFQPDI౰ͨΓͷ܇࿅ॲཧ࣌ؒΛվળ͢Δϛχόονα ΠζΛࣗಈͰ୳ࡧ͢Δ͜ͱ͕Ͱ͖ͨ w *NBHF/FULΛ༻͍ͨ܇࿅ʹ͓͍ͯɼϛχόοναΠζͱൺֱͯ͠ ࠷େͰFQPDI౰ͨΓͷ܇࿅ॲཧ࣌ؒΛ࠷େվળ͢Δϛχ όοναΠζΛࣗಈͰ୳ࡧ͢Δ͜ͱ͕Ͱ͖ͨ w *NBHF/FULΛ༻͍ͨ܇࿅Ͱ͸܇࿅ॲཧͷ(16Λར༻͍ͯ͠Δ࣌ؒͷ ׂ߹͕$JGBSͱൺ΂ͯ௿͍͜ͱ͕֬ೝ͞Εͨ 39

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ࠓޙͷ՝୊ w JUFSBUJPOؒͷ(16Χʔωϧ͕࣮ߦ͞Ε͍ͯͳ͍࣌ؒͷ࡟ ݮํ๏Λݕ౼͢Δ w ܇࿅σʔλϩʔυ࣌ͷ%JTL*0ͷߴ଎Խ w ܇࿅σʔλͷม׵ॲཧͳͲͷલॲཧͷӅṭ 40

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ҎԼ༧උεϥΠυ 41

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ఏҊख๏̎ͷ ධՁ݁Ռͷݕূ ධՁύλʔϯ ఏҊख๏̎ख๏Ͱਪଌ͞Εͨ࠷ద஋ ʹ͓͚Δվળ཰<> ࣮ࡍʹܭଌ͞Εͨվળ཰<> ύλʔϯ ύλʔϯ ύλʔϯ ύλʔϯ ಘΒΕͨϛχόονͷ࠷ద஋Λ༻͍ͯFQPDIͷ܇࿅Λߦ͍ɼ ॳظ஋͔Βͷվળ཰Λܭଌͨ͠ͱ͜Ζɼਪଌ஋ͱܭଌ஋͸΄΅ಉ஋Λࣔͨ͠ 42

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ఏҊख๏ͷ ධՁ݁Ռͷݕূʢৄࡉʣ ධՁύλʔϯ ਪଌ͞Εͨվળ཰ <> ܭଌ͞Εͨվળ཰ <> ॳظ஋Ͱͷܭଌ஋ ࠷ద஋Ͱͷܭଌ஋ ύλʔϯ ύλʔϯ ύλʔϯ ύλʔϯ ಘΒΕͨϛχόονͷ࠷ద஋Λ༻͍ͯFQPDIͷ܇࿅Λߦ͍ ॲཧ࣌ؒͱॳظ஋͔Βͷվળ཰Λܭଌͨ͠ 43

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ఏҊख๏ͱఏҊख๏ͷ ࠷ద஋ൺֱ ධՁύλʔϯ ॳظ஋Ͱͷܭଌ஋ ఏҊख๏ͷ࠷ద஋Ͱͷ ܭଌ஋ ఏҊख๏Ͱͷ࠷ద஋Ͱ ͷܭଌ஋ ύλʔϯ ύλʔϯ ύλʔϯ ύλʔϯ ಘΒΕͨϛχόονͷ࠷ద஋Λ༻͍ͯFQPDIͷ܇࿅Λߦ͍ ॲཧ࣌ؒΛܭଌͨ͠ 44

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ఏҊख๏ͷ ධՁ݁Ռͷݕূ σʔληοτ ωοτϫʔΫ ϕʔεϥΠϯ ఏҊख๏ʹ͓͚Δ࣮ଌ ஋ $JGBS 7(( 3FT/FU *NBHF/FUL 7(( 3FT/FU ఏҊख๏ͰಘΒΕͨ࠷ద஋Λ༻͍ͯFQPDIܭଌͨ݁͠Ռ 45

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ఏҊख๏ͷ ධՁ݁Ռͷݕূ σʔληοτ ωοτϫʔΫ ϕʔεϥΠϯ ఏҊख๏ʹ͓͚Δ࣮ଌ ஋ $JGBS 7(( 3FT/FU *NBHF/FUL 7(( 3FT/FU ఏҊख๏ͰಘΒΕͨ࠷ద஋Λ༻͍ͯFQPDIܭଌͨ݁͠Ռ 46

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$JGBS7((ʹ͓͚Δ ϛχόοναΠζ͝ͱͷਫ਼౓ NBJOBDDVSBDZ FQPDI WBMJEBUJPOBDDVSBDZ FQPDI 47

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$JGBS3FT/FUʹ͓͚Δ ϛχόοναΠζ͝ͱͷਫ਼౓ NBJOBDDVSBDZ FQPDI WBMJEBUJPOBDDVSBDZ FQPDI 48

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FQPDI͋ͨΓͷॲཧ࣌ؒվળ ཰ͷཧ૝ۂઢͷܭࢉϩδοΫ 49

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ධՁதͷܭଌ஋ྫ DIFDL DIFDL DPOWFSHFODF DIFDL লུ DIFDL DPOWFSHFODF ఏҊख๏ ఏҊख๏̎ ϛχόον αΠζ ϛχόον αΠζ 50