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ࡾ୐ ༔հ1,2ɺ็ ߃ݑ3 1. Pepabo R&D Institute, GMO Pepabo, Inc., 2. ۝भେֶ େֶӃγεςϜ৘ใՊֶ෎ ৘ใ஌ೳ޻ֶઐ߈ 3. ۝भେֶ େֶӃγεςϜ৘ใՊֶݚڀӃ ৘ใ஌ೳ޻ֶ෦໳ 2021.09.16 SMASH21 Summer Symposium Synapse: จ຺ͱ࣌ؒܦաʹԠͯ͡ ਪનख๏ͷબ୒Λ࠷దԽ͢Δ ϝλਪનγεςϜ

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1. ͸͡Ίʹ 2. ؔ࿈ݚڀ 3. ఏҊख๏ 4. ධՁ 5. ͓ΘΓʹ 2 ໨࣍

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1. ͸͡Ίʹ

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• ৘ใγεςϜʹ͓͚Δ৘ใաଟ໰୊Λղܾ͢ΔɺਪનγεςϜͷಋೖ • ͳΜΒ͔ͷํࡦʢ=ਪનख๏ʣʹج͖ͮଟ਺ͷબ୒ࢶ͔Βར༻ऀ͕ڵຯΛ࣋ ͭ΋ͷΛఏҊ͢ΔγεςϜ 4 എܠ 6TFST 3FDPNNFOEBUJPO .FUIPE 1SPEVDUT IUUQTJDPOTDPN

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• ৘ใγεςϜʹ͓͚Δ৘ใաଟ໰୊Λղܾ͢ΔɺਪનγεςϜͷಋೖ • ͳΜΒ͔ͷํࡦʢ=ਪનख๏ʣʹج͖ͮଟ਺ͷબ୒ࢶ͔Βར༻ऀ͕ڵຯΛ࣋ ͭ΋ͷΛఏҊ͢ΔγεςϜ • ਺ଟ͘ͷਪનख๏͕ఏҊ͞Ε͍ͯΔ 5 എܠ 6TFST 3FDPNNFOEBUJPO .FUIPET 1SPEVDUT IUUQTJDPOTDPN

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• ৘ใγεςϜʹ͓͚Δ৘ใաଟ໰୊Λղܾ͢ΔɺਪનγεςϜͷಋೖ • ͳΜΒ͔ͷํࡦʢ=ਪનख๏ʣʹج͖ͮଟ਺ͷબ୒ࢶ͔Βར༻ऀ͕ڵຯΛ࣋ ͭ΋ͷΛఏҊ͢ΔγεςϜ • ਺ଟ͘ͷਪનख๏͕ఏҊ͞Ε͍ͯΔ → ޮՌతͳʮਪનख๏ͷબఆʯ͕ॏཁ 6 എܠ 6TFST #FTU3FDPNNFOEBUJPO .FUIPE 1SPEVDUT IUUQTJDPOTDPN

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7 എܠ • ޮՌతͳਪનख๏͸ঢ়گ΍࣌ؒͷܦաʹΑͬͯҟͳΔ • ͔͠͠ͳ͕Βɺ࣮؀ڥͰͷܧଓతͳਪનख๏ͷධՁʹ͸ػձଛࣦ͕൐͏ ӡ༻্ͷ՝୊ • ৘ใγεςϜʹ͓͚Δ৘ใաଟ໰୊Λղܾ͢ΔɺਪનγεςϜͷಋೖ • ͳΜΒ͔ͷํࡦʢ=ਪનख๏ʣʹج͖ͮଟ਺ͷબ୒ࢶ͔Βར༻ऀ͕ڵຯΛ࣋ ͭ΋ͷΛఏҊ͢ΔγεςϜ • ਺ଟ͘ͷਪનख๏͕ఏҊ͞Ε͍ͯΔ → ޮՌతͳʮਪનख๏ͷબఆʯ͕ॏཁ

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• ਪનख๏ͷ༏ྼ͸ঢ়گʢ=จ຺ʣͱ࣌ؒͷܦաʹΑͬͯࠨӈ͞ΕΔ • ޮՌతͳਪનख๏Λػձଛࣦ͕ͳ͍Α͏ʹจ຺ͱ࣌ؒͷܦաʹԠͯ͡࢖͍෼͚ ͍ͨ • จ຺ͱ࣌ؒͷܦաʹԠͯ͡ਪનख๏ͷબ୒Λࣗಈ͔ͭܧଓతʹ࠷దԽ͢Δ ϝλਪનγεςϜ • → ࠷ળͳਪનख๏ͷબ୒Λଟ࿹όϯσΟοτ໰୊ͱΈͳͯ͠ղ͘ 8 ݚڀͷ໨తͱఏҊͷࠎࢠ

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2. ؔ࿈ݚڀ

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ଟ࿹όϯσΟοτ໰୊

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• ʮ࿹ʯͱݺ͹ΕΔෳ਺ͷީิ͔ΒಘΒΕΔใुΛ࠷େԽ͢Δ໰୊ • ϓϨΠϠʔ͸Ұ౓ͷࢼߦͰ1ͭͷ࿹Λબ୒͠ɺใुΛಘΔ • ͦΕͧΕͷ࿹͸͋Δใु෼෍ʹै͍ใुΛੜ੒ • ͨͩ͠ɺϓϨΠϠʔ͸͜ͷใु෼෍Λࢼߦͷ݁Ռ͔Βਪଌ͢Δඞཁ͕͋Δ 11 ଟ࿹όϯσΟοτ໰୊ • ϓϨΠϠʔ͸͋Δ࣌఺ͷ࿹ͷධՁʹج͖ͮʮ׆༻ʯͱʮ୳ࡧʯΛฒߦͯ͠ߦ͏ • ͜ͷτϨʔυΦϑΛղফ͢ΔͨΊʹ༷ʑͳղ๏͕ఏҊ͞Ε͍ͯΔ

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• ࿹͝ͱͷใु෼෍͸ৗʹಉ͡Ͱ͋Δͱ͍͏Ծఆ • → ঢ়گ΍ଐੑ͝ͱʹใु෼෍͕ҟͳΔͷͰ͸ͳ͍͔ʁ • ྫʣ೥୅͝ͱʹਓؾͷ঎඼͕ҧ͏ɺ࠷ۙɺಉ͡ΧςΰϦͷ঎඼Λങͬͨ • → ࣌ؒͷܦաʹΑͬͯ΋ใु෼෍͕มԽ͢ΔͷͰ͸ͳ͍͔ʁ • ྫʣ৽͍͠χϡʔεهࣄɺҰ࣌తͳྲྀߦ 12 ଟ࿹όϯσΟοτ໰୊ͷ֦ு • ʮจ຺෇͖ʯ·ͨ͸ʮඇఆৗʯͳଟ࿹όϯσΟοτ໰୊ͱ֦ͯ͠ு͞Ε͍ͯΔ

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ਪનख๏ͷબఆʹ͓͚Δ ؍఺ͷ੔ཧ

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• ਪનख๏ͷ૬ରతͳੑೳͷ༏ྼΛॿ௕͢ΔཁҼͷଘࡏ 14 ਪનख๏ͷબఆʹ͓͚Δจ຺ͷߟྀͷॏཁੑ <>&LTUSBOE .BOE3JFEM +8IFOSFDPNNFOEFSTGBJMQSFEJDUJOHSFDPNNFOEFSGBJMVSFGPSBMHPSJUINTFMFDUJPOBOEDPNCJOBUJPO 1SPDFFEJOHTPGUIFTJYUI"$.DPOGFSFODFPO3FDPNNFOEFSTZTUFNT QQr <>#SBVOIPGFS . $PEJOB 7BOE3JDDJ '4XJUDIJOHIZCSJEGPSDPMETUBSUJOHDPOUFYUBXBSFSFDPNNFOEFSTZTUFNT 1SPDFFEJOHTPGUIF UI"$.$POGFSFODFPO3FDPNNFOEFSTZTUFNT QQr <>"OEFSTPO " .BZTUSF - "OEFSTPO * .FISPUSB 3BOE-BMNBT ."MHPSJUINJDF⒎FDUTPOUIFEJWFSTJUZPGDPOTVNQUJPOPOTQPUJGZ 1SPDFFEJOHTPG5IF8FC$POGFSFODF QQr ઌߦݚڀ ֓ཁ ਪનख๏ͷબఆʹؔ͢ΔཁҼͷ෼ੳɾར༻ <> ϋΠϒϦουਪનʹ͓͚Δਪનख๏ ͷબఆࣦഊͷݪҼΛ୳ͬͨݚڀ ར༻ऀ͝ͱʹਪનख๏Λ࢖͍෼͚Δ͜ͱͰੑೳ͕վળ͞ΕΔͱใࠂ͠ɼ ͦͷཁҼͷ෼ੳ͕ඞཁ <> ίʔϧυελʔτͷঢ়گʹݶఆͨ͠ ϋΠϒϦουਪનͷݚڀ ਪનख๏ͷબ୒ʹӨڹΛٴ΅͢ཁҼͱͯ͠ɼར༻ऀ΍঎඼ɼίϯςΩε τʹର͢ΔධՁͷ஝ੵ۩߹Λར༻ <> ԻָετϦʔϛϯάαʔϏεʹ͓͚ Δࢹௌ܏޲ͱਪનख๏ͷޮՌͷݚڀ ਪનख๏ͷબ୒ʹӨڹΛٴ΅͢ཁҼͱͯ͠ɼࢹௌ܏޲ͷଟ༷ੑʹண໨Ͱ ͖Δ͜ͱΛࣔͨ͠

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• ར༻ऀͷᅂ޷৘ใͷ஝ੵʹ൐͍ɺਪનਫ਼౓ͷ޲্͕ظ଴Ͱ͖Δਪનख๏ͷଘࡏ 15 ਪનख๏ͷબఆʹ͓͚Δ࣌ؒͷܦաͷߟྀͷॏཁੑ ಺༰ϕʔεͷਪનख๏͸Ұఆͷਫ਼౓ ᅂ޷৘ใΛ༻͍Δਪનख๏͸ਫ਼౓͕ঃʑʹ޲্ ਪનख๏ͷ༗ޮੑ͕ඇఆৗͰ͋Δ͜ͱ Λલఏͱͨ͠ղ๏͕ඞཁͱͳΔ

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ଟ࿹όϯσΟοτ໰୊ͷղ๏Λ༻͍ͨ ਪનख๏ͷબఆ

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• ઌߦݚڀʹ͓͚Δจ຺ͱ࣌ؒͷܦաͷߟྀ 17 ଟ࿹όϯσΟοτ໰୊ͷղ๏Λ༻͍ͨਪનख๏ͷબఆ ઌߦݚڀ จ຺ ࣌ؒͷܦա <> º º <> <> ˚ º ࿹ͱͳΔਪનख๏͕จ຺Λѻ͏͕ਪનख๏ͷબఆʹ͸จ຺Λߟྀ͠ͳ͍ <> <> ˓ º <>͸ਪન࣌ͷӾཡதͷ঎඼ಛੑΛจ຺ͱͯ͠ར༻ʢ<>͸ఏࣔͳ͠ʣ ˎ͍ͣΕͷख๏΋࣌ؒͷܦաͷߟྀ͕े෼Ͱ͸ͳ͍ <>'FM ’DJP $; 1BJYB _P ,7 #BSDFMPT $"BOE1SFVY 1"NVMUJBSNFECBOEJUNPEFMTFMFDUJPOGPSDPMETUBSUVTFSSFDPNNFOEBUJPO 1SPDFFEJOHTPGUIFUI $POGFSFODFPO6TFS.PEFMJOH "EBQUBUJPOBOE1FSTPOBMJ[BUJPO QQr <>#SPE FO # )BNNBS . /JMTTPO #+BOE1BSBTDIBLJT %&OTFNCMFSFDPNNFOEBUJPOTWJBUIPNQTPOTBNQMJOHBOFYQFSJNFOUBMTUVEZXJUIJOF DPNNFSDF SEJOUFSOBUJPOBMDPOGFSFODFPOJOUFMMJHFOUVTFSJOUFSGBDFT QQr <>$BO _BNBSFT 3 3FEPOEP .BOE$BTUFMMT 1.VMUJBSNFESFDPNNFOEFSTZTUFNCBOEJUFOTFNCMFT 1SPDFFEJOHTPGUIFUI"$.$POGFSFODFPO 3FDPNNFOEFS4ZTUFNT QQr <>4BOUBOB .3 .FMP -$ $BNBSHP ') #SBOE _BP # 4PBSFT " 0MJWFJSB 3.BOE$BFUBOP 4$POUFYUVBM.FUB#BOEJUGPS3FDPNNFOEFS4ZTUFNT 4FMFDUJPO 'PVSUFFOUI"$.$POGFSFODFPO3FDPNNFOEFS4ZTUFNT QQr <>ࡾ୐༔հɼ็߃ݑ4ZOBQTFจ຺ʹԠͯ͡ܧଓతʹਪનख๏ͷબ୒Λ࠷దԽ͢ΔਪનγεςϜ ిࢠ৘ใ௨৴ֶձ࿦จࢽ% 7PM /P QQr

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3. ఏҊख๏

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• จ຺ͱ࣌ؒͷܦաʹԠͯ͡ਪનख๏ͷબ୒Λࣗಈ͔ͭܧଓతʹ࠷దԽ͢Δ ϝλਪનγεςϜ • ػձଛࣦΛ཈͑ͨจ຺ͱ࣌ؒͷܦաʹԠͨ͡࠷ળͳબ୒Λୡ੒͢ΔͨΊɺ จ຺෇͖ɺ͔ͭɺඇఆৗͳଟ࿹όϯσΟοτ໰୊ͷղ๏Λ༻͍Δ • ਪનख๏ͷ༗ޮੑ͕ٯస͢Δঢ়گʢޙड़ʣʹରॲ͢ΔͨΊɺैདྷͷղ๏Λ ֦ு͠ɺੵۃతͳ୳ࡧΛଅ͢ • બ୒ͨ͠ਪનख๏ͱ͜Εʹର͢Δར༻ऀͷ൓ԠΛه࿥͠ɺબ୒ͷܧଓతͳ վળʹ༻͍Δ 19 ఏҊγεςϜ (Synapse)

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20 ఏҊγεςϜ (Synapse)

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จ຺ͱ࣌ؒͷܦաΛߟྀͨ͠ ଟ࿹όϯσΟοτ໰୊ͷղ๏

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22 Time-varying Thompson Sampling (TVTP) [15] Dynamic Context drift Modeling จ຺෇͖ɺ͔ͭɺඇఆৗͳใुͷมԽΛ ѻ͏ͨΊใुͷมಈΛ૊ΈࠐΜͩϞσϧ ͕༻͍ΒΕΔ <>;FOH $ 8BOH 2 .PLIUBSJ 4BOE-J 50OMJOFDPOUFYUBXBSFSFDPNNFOEBUJPOXJUIUJNFWBSZJOHNVMUJBSNFECBOEJU 1SPDFFEJOHTPGUIF OE"$.4*(,%%JOUFSOBUJPOBMDPOGFSFODFPO,OPXMFEHFEJTDPWFSZBOEEBUBNJOJOH QQr <>'JH(SBQIJDBMNPEFMSFQSFTFOUBUJPOGPSCBOEJUQSPCMFN yk,t ⇠ N(xT t (cwk + ✓k ⌘k,t), 2 k ) 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 ίϯςΩετ ఆৗ߲ ඇఆৗ߲ ʢεέʔϧ߲ɺυϦϑτ߲ʣ ؍ଌޡࠩ

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23 Time-varying Thompson Sampling (TVTP) [15] ঢ়ଶۭؒϞσϧ ใुϞσϧͷύϥϝʔλͷࣄޙ෼෍ͱυ Ϧϑτ߲ͷજࡏঢ়ଶͷஞ࣍ਪఆʹཻࢠ ϑΟϧλͱΧϧϚϯϑΟϧλ͕༻͍ΒΕΔ <>;FOH $ 8BOH 2 .PLIUBSJ 4BOE-J 50OMJOFDPOUFYUBXBSFSFDPNNFOEBUJPOXJUIUJNFWBSZJOHNVMUJBSNFECBOEJU 1SPDFFEJOHTPGUIF OE"$.4*(,%%JOUFSOBUJPOBMDPOGFSFODFPO,OPXMFEHFEJTDPWFSZBOEEBUBNJOJOH QQr <>'JH(SBQIJDBMNPEFMSFQSFTFOUBUJPOGPSCBOEJUQSPCMFN yk,t ⇠ N(xT t (cwk + ✓k ⌘k,t), 2 k ) 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 ΧϧϚϯϑΟϧλ ཻࢠϑΟϧλ

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24 Time-varying Thompson Sampling (TVTP) [15] ֬཰Ұக๏ ֤࿹ͰٻΊͨύϥϝʔλͷࣄޙ෼෍ʹै ͍αϯϓϦϯάͨ݁͠ՌΛ࿹ͷબఆʹ༻ ͍Δ͜ͱͰଟ࿹όϯσΟοτղ๏ͱ౷߹ <>;FOH $ 8BOH 2 .PLIUBSJ 4BOE-J 50OMJOFDPOUFYUBXBSFSFDPNNFOEBUJPOXJUIUJNFWBSZJOHNVMUJBSNFECBOEJU 1SPDFFEJOHTPGUIF OE"$.4*(,%%JOUFSOBUJPOBMDPOGFSFODFPO,OPXMFEHFEJTDPWFSZBOEEBUBNJOJOH QQr <>'JH(SBQIJDBMNPEFMSFQSFTFOUBUJPOGPSCBOEJUQSPCMFN yk,t ⇠ N(xT t (cwk + ✓k ⌘k,t), 2 k ) 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 a(t) = arg max j=1,K xT t ¯ wk,t 1 ¯ wk,t 1 ⇠ Nm(¯ µwk , ¯ ⌃wk ) 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 ࣄޙ෼෍ ࣄޙ෼෍

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25 TVTPͷ՝୊ a(t) = arg max j=1,K xT t ¯ wk,t 1 ¯ wk,t 1 ⇠ Nm(¯ µwk , ¯ ⌃wk ) 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 ¯ ⌃wk = 1 p2 p X i=1 2(i) k ⌃(i) wk , where p is number of particles 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 • ࢼߦճ਺ͷ૿Ճʹ൐͏ਪનख๏ͷબఆͷภΓ • ͋Δ࣌఺ͰධՁͷ௿͍ਪનख๏Λ୳ࡧ͢Δػձ͕ۃ୺ʹ௿Լ • ༗ޮੑ͕ٯస͢ΔΑ͏ͳঢ়گ΁ͷ௥ै͕஗ΕΔ ࢼߦճ਺ͷ૿Ճʹ൐͏ٸܹͳݮগʹΑΓ͋Δ ࣌఺ͷධՁʹج͍ͮͨબ୒ʹݻఆ͞ΕΔ

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26 ఏҊํࣜ: Aggressive Exploration TVTP (AE-TVTP) a(t) = arg max j=1,K xT t ¯ wk,t 1 ¯ wk,t 1 ⇠ Nm(¯ µwk , ¯ ⌃wk ) 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 ¯ ⌃wk = 1 p2 p X i=1 2(i) k ⌃(i) wk , where p is number of particles 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 • ࢼߦճ਺ͷ૿Ճʹ൐͏ਪનख๏ͷબఆͷภΓΛղফ • ͋Δ࣌఺ͰධՁͷ௿͍ਪનख๏Λੵۃతʹ୳ࡧ͢ΔػձΛઃ͚Δ • ࿹ͷ༗༻ੑ͕ٯస͢Δ؀ڥʹ͓͍ͯɺ௥ैੑͷ޲্ΛਤΔ ཻࢠͷฏۉ ཻ֤ࢠͰͷ৐ࢉͷΈ

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4. ධՁ

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• ࣮ࡍͷECαΠτ͔Β࠾औͨ͠4ͭͷਪનख๏ͷ঎඼ΧςΰϦ͝ͱͷΫϦοΫ཰ ͷਪҠ࣮੷σʔλΛ༻͍ͯఏҊγεςϜͷ༗ޮੑΛධՁ͢Δ • 2019/6/20ʙ8/4·Ͱͷ໿225ສճͷਪનσʔλ͔Βࢉग़ • 4ͭͷਪનख๏ͱ18ͷ঎඼ΧςΰϦ͝ͱʹɺ1࣌ؒ୯ҐͰूܭ 28 ධՁσʔλͱਪનख๏

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• બ୒ͨ͠ਪનख๏͔ΒಘΒΕΔΫϦοΫ਺ͷγϛϡϨʔγϣϯ • ਪનख๏ͷબ୒ʹ͸ɺఏҊํࣜΛؚΉଟ࿹όϯσΟοτͷղ๏Λ༻͍Δ • બ୒ͨ͠ਪનख๏͸࣮੷σʔλͷΫϦοΫ཰Λύϥϝʔλͱ͢ΔϕϧψʔΠ ෼෍ʹै͍ɺਪન݁Ռ͕ΫϦοΫ͞ΕΔ΋ͷͱ͢Δ • ཚ਺Λ༻͍ͨγϛϡϨʔγϣϯΛฏۉԽ͢ΔͨΊ50ճͷγϛϡϨʔγϣϯ ݁ՌͷฏۉΛ݁Ռͱͯ͠༻͍Δ • ࣮ࡍͷਪનγεςϜͷڍಈͱ߹ΘͤΔͨΊɺใु͸1࣌ؒ͝ͱʹ·ͱΊͯ ϑΟʔυόοΫ͞ΕΔ΋ͷͱ͢Δ 29 ධՁํ๏(1/2)

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• จ຺ͱ࣌ؒͷܦաͷߟྀͷͦΕͧΕͷد༩౓Λ໌Β͔ʹ͢Δ4άϧʔϓͷγ ϛϡϨʔγϣϯΛ࣮ࢪ 30 ධՁํ๏(2/2) ࣌ؒͷܦա º ˓ จ຺ º "ىटͷ࠷ળͳਪનख๏ΛશظؒҰ؏ ͯ͠༻͍Δ $࣌఺͝ͱʹධՁͷߴ͍ਪનख๏Λόϯ σΟοτΛ༻͍ͯબఆ ˓ #จ຺͝ͱʹ࠷ળͳਪનख๏Λશظؒ Ұ؏ͯ͠༻͍Δ %จ຺͝ͱ࣌఺͝ͱʹධՁͷߴ͍ਪનख ๏ΛόϯσΟοτΛ༻͍ͯબఆ • จ຺ʹ͸ɺਪન࣌ʹӾཡதͷ঎඼ΧςΰϦΛ༻͍Δ • ଟ࿹όϯσΟοτղ๏͸ɺLTS(จ຺) ɺTVTP(จ຺/࣌ؒͷܦա) ɺAE-TVTP(จ຺/࣌ؒͷܦա)

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• Bάϧʔϓʢจ຺ʣ͸ظट࣌఺ʹ͓ ͍ͯAάϧʔϓͱจ຺ʹΑΔࠩҟ͕ ΄΅ͳ͍ͨΊ݁Ռ΋ࠩҟͳ͠ • Cάϧʔϓʢ࣌ؒͷܦաʣ͸ਪનख ๏ͷ༗ޮੑͷมԽʹ௥ैͨ͜͠ͱ Ͱվળ͕ݟΒΕΔ • Dάϧʔϓʢจ຺ͱ࣌ؒͷܦաʣ͸ ঎඼ΧςΰϦ͝ͱͷมԽʹ௥ै͠ ͨ͜ͱͰߋͳΔվળ͕ݟΒΕΔ 31 ධՁ݁Ռ: AάϧʔϓΛج४ͱͨ͠ྦྷੵใुͷࠩͷൺֱ จ຺ͱ࣌ؒͷܦաͷߟྀͳΒͼʹɺٯస؀ڥͷ௥ ैੑΛߴΊͨఏҊํࣜʹΑͬͯ໿૿Ճ จ຺ͷΈ ࣌ؒͷܦաͷΈ

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• Dάϧʔϓͷจ຺͝ͱͷվળ݁ՌΛ ෼ੳ͢Δͱɺਪનख๏ͷ༗ޮੑͷ มಈͷগͳ͍จ຺Ͱ͸ɺશͯͷղ ๏ʹ͓͍ͯ୳ࡧͷίετΛճऩͰ ͖͍ͯͳ͍ • มಈͷେ͖͍จ຺Ͱ͸ੵۃతͳ୳ ࡧʹΑΓAE-TVTP͕େ͖͘վળ͠ ͨɻTVTP͸ਪનख๏͕ݻఆ͞Εվ ળʹࢸΒͳ͔ͬͨ 32 ධՁ݁Ռ: ਪનख๏ͷ༗ޮੑͷมಈ౓߹͍ͱվળ཰

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33 ߟ࡯ • ਪનख๏ͷ༗ޮੑ͕ٯస͢Δࠨྻ ʹ͓͍ͯ͸ఏҊख๏͕༗ޮ • ӈྻʹ͓͍ͯ͸ɺఏҊख๏ͷੵۃ తͳ୳ࡧʹىҼͯ͠ɺظؒதܧଓత ʹྦྷੵϦάϨοτ͕૿Ճ͢Δɻ3ׂ ఔ౓Ͱಉ༷ͷࣄ৅Λ֬ೝɻ ਪનख๏ͷ༗ޮੑʹٯస͕͋Δ঎඼ΧςΰϦ ࠨ ͱɺ ͳ͍঎඼ΧςΰϦ ӈ ʹ͓͚ΔྦྷੵϦάϨοτͷਪҠ ˎྦྷੵϦάϨοτ͸ਪનख๏ͷ͏ͪ࠷େͷظ଴஋ͱબ୒ͨ͠ਪનख ๏ͷظ଴஋ͷࠩΛظؒ·Ͱʹ߹ܭͨ͠΋ͷ มԽͷͳ͍ظؒʹ͓͍ͯ΋ػձଛࣦΛ ௿ݮ͢ΔదԠతͳ୳ࡧख๏ͷݚڀ΁

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5. ͓ΘΓʹ

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• ଟ࿹όϯσΟοτΛ༻͍ͯɺจ຺ͱ࣌ؒͷܦաʹԠͯ͡ਪનख๏ͷબ୒Λࣗಈ త͔ͭܧଓతʹ࠷దԽ͢ΔϝλਪનγεςϜΛఏҊ͠ɺͦͷ༗ޮੑΛࣔͨ͠ • จ຺ͱ࣌ؒͷܦաͷߟྀͳΒͼʹٯస؀ڥͷ௥ैੑΛߴΊͨఏҊํࣜʹΑͬ ͯɺߟྀ͠ͳ͍৔߹ͱൺֱͯ͠ྦྷੵΫϦοΫ਺ͷ޲্ʹܨ͕Δ͜ͱ͕Θ͔ͬͨ • ਪનख๏ͷ༏ྼʹมԽͷͳ͍ظؒͰ͸݁Ռ͕ٯస͢ΔՄೳੑ͕֬ೝ͞Εͨ͜ͱ ͰɺػձଛࣦΛ௿ݮ͢Δղ๏͕ॏཁͰ͋Δ͜ͱ΋ࣔࠦ͞Εͨ • ࠓޙͷ՝୊ͱͯ͠ɺਪનख๏ͷબ୒ʹӨڹΛٴ΅͢ޮՌͷߴ͍จ຺ͷൃݟɺͳ Βͼʹಛఆͷจ຺ʹ͓͍ͯධՁͷߴ͍ਪનख๏ͷཱ֬ʹΑΔจ຺͝ͱͷޮՌ޲ ্ͷ࣮ݱ͕ڍ͛ΒΕΔ 35 ͓ΘΓʹ

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