ホーム画面レイアウトのパーソナライゼーション Mercari ML&Search Talk Vol.1 / mercari-home-personalization-ml-search-talk

https://mercari.connpass.com/event/231679/

Transcript

1.  1 ϗʔϜը໘ϨΠΞ΢τͷύʔιφϥΠθʔγϣϯ 2021.12.1 5 Mercari ML&Search Talk Vol. 1 ݹᖒஐ༟
2.  2 Twitter: @rilmayer_jp ϓϩμΫτϚωʔδϟʔ݉ΤϯδχΞ from DiscoveryνʔϜ • ීஈͷۀ຿ ◦ PdM: ϝϧΧϦͷσΟεΧόϦʔྖҬ(Ϩίϝϯσʔγϣϯ ػೳ΍ϗʔϜը໘ͷύʔιφϥΠθʔγϣϯࢪࡦ)ʹؔ͢Δ σΟϨΫγϣϯ ◦ Engineering: ࢪࡦͷཱҊͱػೳ࣮૷΍γεςϜӡ༻
 • ޷͖ɾಘҙ ◦ ৘ใݕࡧ / ਪનγεςϜ ◦ ૊৫࿦ ࣗݾ঺հɿ ݹᖒஐ༟ ૊৫࿦ͱ 
 ݕࡧɾਪન😍
3.  3 Discovery νʔϜ ϝϧΧϦͷύʔιφϥΠθʔγϣϯ΍Ϩίϝϯσʔγϣϯશൠʹؔͯ͠৽ػೳ
 ։ൃ͔ΒϓϥοτϑΥʔϜͷӡ༻·ͰΛ୲͏ɺଟ༷ͳεΩϧ(ΫϥΠΞϯτ͔Β
 όοΫΤϯυ·Ͱ)ͱόοΫάϥ΢ϯυΛ࣋ͭϝϯόʔͰߏ੒͞ΕͨνʔϜ ओͳνʔϜͷ࢓ࣄ • ϗʔϜը໘શମͷύʔιφϥΠθʔγϣϯ / ϨΠΞ΢τ࠷దԽ • Ϩίϝϯυίϯϙʔωϯτͷվળ ◦ ϗʔϜը໘ ▪ Ϣʔβʔ΁ͷ঎඼ਪન (“Ӿཡͨ͠঎඼͔Βͷ͓͢͢Ί” ) ▪ ͓͢͢ΊλΠϜϥΠϯ (“͓͢͢Ίͷ঎඼” ) ▪ ͳͲ.. . ◦ ঎඼ৄࡉϖʔδ ▪ ؔ࿈঎඼ (“͜ͷ঎඼Λݟ͍ͯΔਓʹ͓͢͢Ί”)
4.  4 • ϗʔϜը໘ͷϨΠΞ΢τվળΛࢧ͑Δ࢓૊Έ • ϗʔϜը໘ύʔιφϥΠθʔγϣϯͷऔΓ૊Έ঺հ
 (λΠτϧΛύʔιφϥΠθʔγϣϯͱ͍ͯ͠·͕͢࠷దԽͷ࿩ϝΠϯͰ͢... ) 
 ຊ೔࿩͞ͳ͍͜ͱ • ݸผͷϨίϝϯσʔγϣϯػೳ։ൃࣄྫ • ૊৫ؒͰͷํ਑ͷ͢Γ߹Θͤ΍ਪਐͷ࢓ํ • ࣮ݧͷϑϨʔϜϫʔΫ΍վળϧʔϓͷճ͠ํ • ͳͲ ࠓ೔ͷ࿩
5.  5 γεςϜΞʔΩςΫνϟͱͷมભ ϗʔϜը໘ͷϨΠΞ΢τվળ
 Λࢧ͑Δ࢓૊Έ
6.  6 ϗʔϜը໘ϨΠΞ΢τվળͷΩʔϫʔυ ࣾ಺ϝϯόʔ͕ฒߦͯ͠ ϗʔϜը໘։ൃͰ͖Δ
 Α͏ʹϗʔϜը໘ͷ
 ίϯϙʔωϯτΛඪ४Խ ମݧ޲্ͷͨΊʹϗʔϜ ը໘ͷϨΠΞ΢τΛ
 ͓٬༷ʹ͋ͬͨܗͰ
 ग़͠෼͚͢Δ ϞδϡϥʔԽ ύʔιφϥΠζ
7.  7 ϗʔϜը໘·ΘΓͷγεςϜΞʔΩςΫνϟมભ ϞϊϦγοΫ࣌୅ ϞδϡϥʔԽ (2019~) ύʔιφϥΠζج൫ (2021~) ϨΠΞ΢τ৘ใ (ϋʔυίʔυ) ίϯςϯπ Client Home 
 Service Client ϢʔβʔʹԠͨ͡ 
 ఏڙՄೳͳ 
 ίϯϙʔωϯτ܊ Home Service Ϣʔβʔผʹ 
 ࠷దԽ͞Εͨ 
 ϨΠΞ΢τ৘ใ Layout Optimizer ϨΠΞ΢τ৘ใ (ϋʔυίʔυ) Micro Services 
 (ίϯςϯπผ) Client Micro Services ϞϊϦε API
8.  8 ϗʔϜը໘·ΘΓͷγεςϜΞʔΩςΫνϟมભ ϞϊϦγοΫ࣌୅ ϞδϡϥʔԽ (2019~) ύʔιφϥΠζج൫ (2021~) ϨΠΞ΢τ৘ใ (ϋʔυίʔυ) ίϯςϯπ Client Home 
 Service Client ϢʔβʔʹԠͨ͡ 
 ఏڙՄೳͳ 
 ίϯϙʔωϯτ܊ Home Service Ϣʔβʔผʹ 
 ࠷దԽ͞Εͨ 
 ϨΠΞ΢τ৘ใ Layout Optimizer ϨΠΞ΢τ৘ใ (ϋʔυίʔυ) Micro Services 
 (ίϯςϯπผ) Client Micro Services ϞϊϦε API
9.  9 ͜Ε࡞ ͬͯ ϗʔϜը໘վमͷ։ൃίετ͕ߴ͍ͨΊɺվम΍৽نίϯςϯπ௥Ճʹ͕࣌ؒ ͔͔Δʢ=࣮ݧͷεϐʔυ͕஗͘ɺԾઆݕূ͕ਐ·ͳ͍ʣ ϞϊϦγοΫ࣌୅ͷ՝୊ײ ΤϯδχΞʢΫϥΠΞϯτ&ϞϊϦγοΫAPI)
 ͕ϘτϧωοΫʹ... ϗʔϜը໘ͷվળΛ
 ߦ͍͍ͨਓͨͪ ϗʔϜը໘ͷPM ϞϊϦε API Client ͜Εͱ͜Εͱ 
 ͜Εɾɾɾ ͜Ε࡞ ͬͯ ͜Ε࡞ ͬͯ ͜Ε࡞ ͬͯ ͜Ε࡞ ͬͯ ͜Ε࡞ ͬͯ
10.  10 ϚΠΫϩαʔϏεͰίϯϙʔωϯτͷϞδϡϥʔԽ ෳ਺ͷνʔϜ͕ಠཱɾฒߦͯ͠։ൃ͕Մೳʹɻ Home Service Content Library 
 ఏڙՄೳͳίϯϙʔωϯτͷϞδϡʔϧ Layout Master 
 ίϯϙʔωϯτͷදࣔॱ Team A Contents A-1 Contents A-2 … Team B Contents B-1 Contents B-2 … … ͓٬༷ Contents A-1 Contents B-2 Contents D-2 … Layout Master Settin g 1. A- 1 2. B- 2 3. D 2 4. … ։ൃ! ։ൃ! … Client
11.  11 ... ࣄલʹ༻ҙͨ͠ΫϥΠΞϯτͷUIςϯϓϨʔτ ΫϥΠΞϯτͰ༻్ʹԠͨ͡UIςϯϓϨʔτΛෳ਺༻ҙ͠ɺ࠶ར༻͢Δ͜ͱͰ
 UI։ൃͷ޻਺Λ࡟ݮɻ ςϯϓϨʔτλΠϓ ΛબΜͰI/Fʹैͬͯ 
 σʔλΛ౉͚ͩ͢Ͱ ྑ͍ͷͰ։ൃ͕ 
 ָͩͳʙʂ ίϯϙʔωϯτ
 UIλΠϓͱ֨ೲσʔλ ϨΠΞ΢τ
 componentͷ૊Έ߹Θͤ ɾɾɾ
12.  12 ྫɿਪનίϯϙʔωϯτͷ։ൃ Home Service ਪનίϯϙʔωϯτ Service Content Library 
 ఏڙՄೳͳίϯϙʔ 
 ωϯτͷϞδϡʔϧ ਪનίϯϙʔωϯτ - UIύλʔϯɿUIύλʔϯ A - λΠτϧɿߪೖͨ͠঎඼͔Βͷ͓͢͢Ί - ग़ݱ৚݅ɿաڈNिؒͷؒʹ1఺Ҏ্ͷ
 ߪೖ͕͓͋ͬͨ٬༷ - σʔλߏ଄ɿλΠτϧɺΞΠςϜ৘ใ - ϩδοΫɿϨίϝϯυαʔϏε͔Β
 ਪનΞΠςϜ৘ใΛऔಘ - … ਪનίϯϙʔωϯτͷ։ൃऀ Layout Master 
 ίϯϙʔωϯτͷදࣔॱ Layout Master Settin g - A-1 → C-2 → [ਪનίϯϙʔωϯτ] → B-1 New Contents A-1 Contents B-2 ৽نਪન
 ίϯϙʔωϯτ … Client
13.  13 ϗʔϜը໘·ΘΓͷγεςϜΞʔΩςΫνϟมભ ϞϊϦγοΫ࣌୅ ϞδϡϥʔԽ (2019~) ύʔιφϥΠζج൫ (2021~) ϨΠΞ΢τ৘ใ (ϋʔυίʔυ) ίϯςϯπ Client Home 
 Service Client ϢʔβʔʹԠͨ͡ 
 ఏڙՄೳͳ 
 ίϯϙʔωϯτ܊ Home Service Ϣʔβʔผʹ 
 ࠷దԽ͞Εͨ 
 ϨΠΞ΢τ৘ใ Layout Optimizer ϨΠΞ΢τ৘ใ (ϋʔυίʔυ) Micro Services 
 (ίϯςϯπผ) Client Micro Services ϞϊϦε API
14.  14 ϗʔϜͷ։ൃʹଟ͘ͷ։ൃऀ͕औΓ૊ΊΔΑ͏ʹͳ͕ͬͨɺ
 ϨΠΞ΢τϚελʔΛʮ୭͕ʯɺʮͲͷΑ͏ʹʯมߋ͢Δ͔͕՝୊ʹɾɾɾ • എܠᶃɿίϯςϯπͷύʔιφϥΠζΛਐΊ͍ͨ ◦ ༷ʑͳଐੑͷϢʔβʔʹ͋ͬͨίϯςϯπΛϗʔϜͰఏڙͰ͖ΔΑ͏ʹ͍͖͍ͯͨ͠
 (ྫ: ొ࿥ͨ͠͹͔Γͷ͓٬༷ʹ͸ϝϧΧϦͰϗοτͳ঎඼ΛϨίϝϯυ͍ͨ͠ͳͲ)
 • എܠᶄɿϗʔϜΛ͓٬༷ͱͷద੾ͳίϛϡχέʔγϣϯͷ৔ͱ͍ͨ͠ ◦ ޿ࠂͳͲͨͱ͑ϝϧΧϦ͔ΒͷඞཁͳίϛϡχέʔγϣϯͰ͋ͬͯ΋ద੾ͳ͓٬༷ʹ
 ରͯ͠Ͱ͖Δ͚ͩద੾ͳλΠϛϯάͰఏڙ͍ͨ͠
 (ྫ: ϗʔϜը໘͕޿ࠂͰຒΊਚ͘͞ΕΔΑ͏ͳ͜ͱ͸ආ͚͍ͨͳͲ) ϞδϡϥʔԽޙͷ՝୊
15.  15 ղܾࡦɿϨΠΞ΢τ࠷దԽͷϚΠΫϩαʔϏε։ൃ ϗʔϜϨΠΞ΢τ࠷దԽʹ੹຿Λ࣋ͬͨϚΠΫϩαʔϏεΛ։ൃ͠ɺ
 Ϣʔβʔ͝ͱͷϨΠΞ΢τग़͠෼͚ΛҰݩ؅ཧͰ͖ΔΑ͏ʹɻ Client Home Service Layout Optimizer Layout Master Setting Optimization Model s User and Component Feature store Model 1 Model 2
16.  16 ϗʔϜը໘ϨΠΞ΢τܾఆͷ࢓૊Έ Client ϢʔβʔʹԠͨ͡ఏڙ 
 Մೳͳίϯϙʔωϯτ IDΛ΋ͱʹɺͦΒΒͷ දࣔॱΛϦΫΤετ ྫ) [2, 3, 12, 1, …] Home Service ϗʔϜը໘ͷ ίϯςϯπΛ 
 ϦΫΤετ Layout Optimizer Layout Master Setting Optimization Model s User and Component Feature store ϢʔβʔʹԠͨ͡ 
 ϞσϧΛݺͼग़ͯ͠ίϯϙʔωϯτ ͷදࣔॱΛ֬ఆ Model 1 Model 2 ࠷దԽͷ݁ՌΛϗʔϜ αʔϏεʹϨεϙϯε ྫ) [1, 12, 3, …] ίϯϙʔωϯτID ʹԠͨ͡ίϯς ϯπΛ֤αʔϏ ε͔ΒϑΣον Ϣʔβʔ͝ͱʹ ҟͳΔϗʔϜը໘ ΛϨεϙϯε ᶃ ᶄ ᶅ ᶆ ᶇ ᶈ
17.  17 ϞδϡϥʔԽ • ίϯϙʔωϯτͷඪ४ԽʹΑͬͯଟ͘ͷνʔϜ͕ಠཱฒߦͯ͠։ൃΛਐΊΔ͜ͱ͕Ͱ͖Δ • ΫϥΠΞϯτΤϯδχΞ΍όοΫΤϯυͷಛఆαʔϏε͕ϘτϧωοΫʹͳΒͳ͍ ύʔιφϥΠζج൫ • ϨΠΞ΢τϚελʔʹΑΔ؅ཧʹ՝୊͕ݟ͖͑ͯͨͨΊɺϨΠΞ΢τͷܾఆʹ੹຿Λ࣋ͭ 
 ϚΠΫϩαʔϏεΛ։ൃத ·ͱΊɿϗʔϜը໘ͷϨΠΞ΢τվળΛࢧ͑Δ࢓૊Έ
18.  18 ϗʔϜը໘ύʔιφϥΠθʔγϣϯͷऔΓ૊Έ ঺հ όϯσΟοτΞϧΰϦζϜʹΑΔϗʔϜը໘ϨΠΞ΢τͷ࠷దԽ
19.  19 ϗʔϜը໘ϨΠΞ΢τܾఆͷ՝୊
20.  20 ྫ: ϨΠΞ΢τύλʔϯͱλοϓϨʔτ ໰୊ઃఆɿ਺ଟ͘ͷϨΠΞ΢τ͔Β࠷ڧͷ΋ͷΛબͼ͍ͨ … 0.2 … 0.2 … 0.1 Liked Items … 0.3 Banners Osusume Timeline … ??? Banners New 
 Component Osusume Timeline Liked Items Osusume Timeline Osusume Timeline Banners Osusume Timeline Osusume Timeline … ??? Banners New 
 Component ɾɾɾ ※ λοϓϨʔτ͸ϥϯμϜͳ஋ ※ ϓϩμΫτʹ͓͍ͯඞͣ͠΋λοϓϨʔτ͕ߴ͍͜ͱ͕ྑ͍Θ͚Ͱ͸ͳ͍
21.  21 ৽ͨͳίϯϙʔωϯτΛؚΉϨΠΞ΢τύλʔϯΛσϑΥϧτύλʔϯͱ
 A/BςετͰൺֱ͠ɺ࠷ऴతͳҙࢥܾఆΛPM͕ߦ͏ɻ ैདྷ͔Βߦ͍ͬͯΔϨΠΞ΢τܾఆͷखଓ͖ ࣮ݧ୳ࡧ (ޮՌෆ໌ͳϨΠΞ΢τ) ஌ࣝ׆༻
 (ݱࡏ࠷΋ྑ͍ϨΠΞ΢τ) Osusume Timeline … ??? Banners New Component Like … 0.3 Banners Osusume Timeline ςετͷ݁ՌΛ 
 ΋ͱʹ௕ظత 
 ʹྑͦ͞͏ͳํΛ 
 ࠾༻͠Α͏ʂ ϗʔϜը໘ͷPM
22.  22 • બ୒ࢶ͕ଟ͘ͳΔɿϨΠΞ΢τύλʔϯ(ίϯϙʔωϯτ)͕૿͑͗͢Δ ͱɺ༗ݶ࣌ؒͰ͋Δఔ౓ͷظؒͷ͔͔ΔA/BςετͰൺֱ͢Δ͜ͱ͕೉͠ ͘ͳΔ • ύʔιφϥΠζϧʔϧͷ؅ཧ͕ࠔ೉ɿݸผͷ͓٬༷ʹԊͬͨϨΠΞ΢τͳ ͲΛߟ͑࢝ΊΔͱਓखʹΑΔϧʔϧ؅ཧ͸ඇৗʹେม • ΧελϚʔҎ֎ͷཁૉ͕େ͖͘ͳΔɿؔ܎ऀ͕૿͑ͯ͘Δͱ७ਮͳ
 ϓϩμΫτͷྑ͠ѱ͚ͩ͠ͰܾΊʹ͘͘ͳΔ͜ͱ΋͋Δ ϨΠΞ΢τύλʔϯΛA/Bςετ&PM൑அͰܾΊΔ՝୊ εέʔϧ͢Δ࢓૊ΈͰϨΠΞ΢τΛܾఆ͍ͨ͠
23.  23 όϯσΟοτΞϧΰϦζϜͷಋೖ
24.  24 • ΞϧΰϦζϜͷҰ෼໺ ◦ ໰୊ઃఆɿҟͳΔ֬཰తͳใुઃఆ͕ͳ͞Ε͍ͯΔෳ਺ͷબ୒ࢶ
 (εϩοτϚγʔϯ=Banditʹྫ͑ΒΕΔ)͕ଘࡏ͢Δத͔Βྑ͍
 બ୒ࢶΛબΜͰ࠷ऴతʹಘΔใुΛ࠷େԽ͍ͨ͠ ◦ ઓུɿࣄલʹ͍࣋ͬͯΔ஌ࣝ(ྫ͑͹ɺબ୒ࢶA͕࠷΋ใु͕ߴͦ͏
 ͳͲ)Λ׆༻ͭͭ͠ɺະ஌ͷબ୒ࢶ΋୳ΔόϥϯεΛ͏·͘औΔ ◦ ༻ޠɿબ୒ࢶΛεϩοτϚγϯͷʮ࿹(Arm)ʯʹྫ͑ͯɺબ୒ࢶΛ
 બΜͩࡍʹಘΒΕΔརӹΛʮใु(reword)ʯͱݺͿɻ
 ※ଛࣦʹ໨Λ޲͚ͯޙչ(Regret)ͱݺͿ৔߹΋͋Δɻ
 • ໘ന͞(ݸਓͷײ૝ ) ◦ ࣮༻໘Ͱ΋Α͋͘Δ໰୊ઃఆͳͷͰԠ༻ൣғ͕޿͍ ◦ ཧ࿦໘Ͱ΋ظ଴஋ͳͲͷܭࢉ͕͔ͬ͠ΓͰ͖Δ όϯσΟοτΞϧΰϦζϜͱ͸
25.  25 όϯσΟοτΞϧΰϦζϜͷ໰୊ʹམͱ͠ࠐΉͱɾɾɾ • ࿹ … ϨΠΞ΢τύλʔϯ • ใु … ͋ΔϨΠΞ΢τύλʔϯΛϢʔβʔʹఏڙͨ͠ͱ͖ͷCTR(λοϓϨʔτ) ϨΠΞ΢τ࠷దԽΛόϯσΟοτΞϧΰϦζϜͰߟ͑Δ
26.  26 ୳ࡧͱ׆༻ͷόϥϯεΛऔΓͳ͕Β࠷దͳϨΠΞ΢τύλʔϯΛ୳Δ όϯσΟοτΞϧΰϦζϜʹΑΔϨΠΞ΢τఏڙ ୳ࡧʢ࣮ݧʣ ׆༻ʢ஌ࣝ׆༻ʣ Osusume Timeline … ??? Banners New Recommend Like … 0.3 Banners Osusume Timeline όϥϯε 
 ͱΓͳ͕Β 
 ΍͍ͬͯͧ͘
27.  27 ηάϝϯτ2 ηάϝϯτ1 ݱࡏτϥΠதͷϩδοΫ֓ཁ • ε-greedyΞϧΰϦζϜ: εͷ֬཰Ͱ୳ࡧ͠ɺ1-εͷ֬཰Ͱ׆༻(=ࠓ·Ͱͷσʔλ͔Β࠷΋ྑ͍ ͱ෼͔͍ͬͯΔϨΠΞ΢τͷఏڙ)Λߦ͏ɻ • ηάϝϯτϕʔεɿϢʔβʔηάϝϯτ͝ͱʹ୳ࡧͱ׆༻Λߦ͏ɻ Layout Optimizer Hom e ϨΠΞ΢τύλʔϯ Ϣʔβʔηάϝϯτ ɾɾɾ ηάϝϯτ3 ɾɾɾ
28.  28 ͜Ε·ͰͷऔΓ૊Έɿ࣮ݧ঺հ
29.  29 ࣮ݧᶃɿߋ৽ִؒʹؔ͢Δ࣮ݧ ᶃ-A ߋ৽ִؒ(௕ ) • ઃఆ ◦ ใुɿHome CT R ◦ σʔλͷߋ৽ɿ1೔ִؒ ◦ ϨΠΞ΢τύλʔϯɿ~5
 • ݁Ռ ◦ Home CTR: fla t ◦ Home CVR (ߪങऀ཰): down 😩 ᶃ-B ߋ৽ִؒ(୹ ) • ઃఆ ◦ ใुɿHome CT R ◦ σʔλͷߋ৽ɿ1ִ࣌ؒؒ ◦ ϨΠΞ΢τύλʔϯɿ~5
 • ݁Ռ ◦ Home CTR: fla t ◦ Home CVR (ߪങऀ཰): flat 🙂 ߋ৽ִؒΛ୹͘͢Δ͜ͱͰ࠷దͰͳ͍ϨΠΞ΢τͷදࣔظ͕ؒ୹ॖͰ͖ɺ࠷దͳϨΠΞ΢τʹ͢͹ ΍͘ऩଋ͢Δɻʢߋ৽ִؒͷ୹ॖ͸σʔλج൫ͷվળʹΑΓ࣮ݱɻʣ
30.  30 ࣮ݧᶄɿ୳ࡧ཰ʹؔ͢Δ࣮ݧ ࣮ݧᶃ ׆༻ଟΊ • ઃఆ ◦ ใुɿHome CT R ◦ σʔλͷߋ৽ɿ1ִ࣌ؒؒ ◦ ϨΠΞ΢τύλʔϯɿ~ 5 ◦ ୳ࡧ཰ε: 1%
 • ݁Ռ ◦ Home CTR: fla t ◦ Home CVR (ߪങऀ཰): flat 🙂 ࣮ݧᶄ ୳ࡧଟΊ • ઃఆ ◦ ใुɿHome CT R ◦ σʔλͷߋ৽ɿ1ִ࣌ؒؒ ◦ ϨΠΞ΢τύλʔϯɿ~ 5 ◦ ୳ࡧ཰ε: 5%
 • ݁Ռ ◦ Home CTR: fla t ◦ Home CVR (ߪങऀ཰): flat 🙂 ࠷ऴతͳϝτϦΫεʹ͸େ͖ͳࠩ͸ੜ͡ͳ͔͕ͬͨɺ୳ࡧ཰ͷߴ͍ઃఆͷํ͕ఏڙ͞ΕΔϨΠΞ΢ τύλʔϯʹ҆ఆੑ͕͋ͬͨ (=֤ϨΠΞ΢τͷఏڙ࣌ؒͷ෼ࢄ͕খ͔ͬͨ͞)ɻ
31.  31 • ϗʔϜը໘ͷϨΠΞ΢τఏڙϩδοΫΛ࣮ݧதͰɺόϯσΟοτ
 ΞϧΰϦζϜ͕͋Δఔ౓ϫʔΫ͢Δ͜ͱ͕෼͔͖ͬͯͨ ◦ શମʹѱӨڹΛ༩͑ͣʹෳ਺ͷ৽نϨΠΞ΢τύλʔϯΛࢼ͢͜ͱ͸Ͱ͖ͦ͏ ◦ ΰʔϧϝτϦΫεͷվળʹ͍ͭͯ͸໛ࡧத
 • σʔλߋ৽ִؒ΍୳ࡧ཰ͳͲͷมߋͷӨڹΛ঺հ ◦ σʔλߋ৽ִؒ → ୹͍ํ(1೔ִؒΑΓ΋1ִ࣌ؒؒ)͕ྑͦ͞͏ ◦ ୳ࡧ཰ → ݁࿦͸ग़͍ͯͳ͍͕ڍಈͷҧ͍͕ݟ͍͑ͯΔ
 • ࠓޙͷվળ ◦ ίϯϙʔωϯτ։ൃͱฏߦͯ͠ϨΠΞ΢τ࠷దԽϩδοΫͷຏ͖ࠐΈΛ͍ͯ͘͠ ◦ Ϟσϧࣗମ΋·ͩجຊతͳͱ͜Ζ͔͠ར༻͍ͯ͠ͳ͍ͷͰվળͷ༨஍͋Γ ·ͱΊɿόϯσΟοτΞϧΰϦζϜʹΑΔϨΠΞ΢τܾఆ
32.  32 ·ͱΊ
33.  33 • ϗʔϜը໘ͷύʔιφϥΠζΛࢧ͑Δ࢓૊Έ ◦ ϞδϡϥʔԽ ▪ ίϯϙʔωϯτͷඪ४ԽʹΑͬͯଟ͘ͷνʔϜ͕ಠཱฒߦͯ͠։ൃΛਐΊΔ͜ͱ͕Ͱ͖ΔΑ͏ ʹ ▪ ΫϥΠΞϯτ΍όοΫΤϯυͷಛఆαʔϏε͕ϘτϧωοΫʹͳΒͳ͍ ◦ ύʔιφϥΠζج൫ ▪ େྔͷϨΠΞ΢τύλʔϯʢίϯϙʔωϯτʣͷத͔Β࠷దͳϨΠΞ΢τܾఆΛ 
 ࣗಈԽ͢ΔϚΠΫϩαʔϏεΛ։ൃத 
 • ϨΠΞ΢τܾఆͷϞσϧվળ ◦ ݱࡏόϯσΟοτΞϧΰϦζϜΛϝΠϯͱͨ͠Ϟσϧ։ൃ&࣮ݧΛਪਐத ◦ ෳ਺ͷϨΠΞ΢τΛ୳ࡧ͠ͳ͕ΒɺޮՌతʹϨΠΞ΢τΛܾఆ͢Δ࢓૊Έ͕Ͱ͖ͭͭ͋Δ ϗʔϜը໘ύʔιφϥΠζͷ࢓૊ΈͱϞσϧվળ