疎構造学習およびグラフ畳み込みニューラルネットワーク による異常検知 / Anomaly detection by the method combined with sparse structure learn- ing and graph convolutional neural network

情報処理学会 第81回全国大会
https://www.ipsj.or.jp/event/taikai/81/

Transcript

1. 1 6 0 0 89 13 - 24 89 - 24 89
2.  എܠ  ໨త  ఏҊख๏  ࣮ݧ݁Ռ 
   τϥϑΟοΫσʔλͷάϥϑԽ 
   ৵ೖݕ஌͓ΑͼՄࢹԽ  ·ͱΊ
3.  എܠ  ໨త  ఏҊख๏  ࣮ݧ݁Ռ 
   τϥϑΟοΫσʔλͷάϥϑԽ 
   ৵ೖݕ஌͓ΑͼՄࢹԽ  ·ͱΊ
4. 
   ਤ μʔΫωοτʹ͓͚Δ೥ؒ૯؍ଌύέοτ਺ ԯԯԯ ԯ ԯ ԯ ԯ ԯ ԯ ԯ ԯ 
    
           ਤ Πϯλʔωοτʹ઀ଓ͕Մೳͳػثٴͼηϯαʔ ωοτϫʔΫͷ຤୺ͱͯ͠࢖ΘΕΔ୺຤ͷ୆਺ ૯຿ল৘ใ௨৴നॻɿIUUQXXXTPVNVHPKQNFOV@TFJTBLVIBLVTZPJOEFYIUNM /*$5&3؍ଌϨϙʔτɿ IUUQTXXXOJDUHPKQDZCFSSFQPSU/*$5&3@SFQPSU@QEG զʑ͕ීஈར༻͢ΔΠϯλʔωοτ͸ɼεϚϗ΍*P5σόΠεͷٸ଎ͳීٴ ʹ൐͍ɼࠓ΍͔ܽ͢͜ͱ͕Ͱ͖ͳ͍ࣾձج൫ͱͳ͍ͬͯΔɽͱ͜Ζ͕ɼαΠό ʔ߈ܸͷڴҖ΋೥ʑ૿Ճ͍ͯ͠ΔɽͦͷͨΊɼαΠόʔ߈ܸରࡦͷඞཁੑ͕ߴ ·͖͍ͬͯͯΔɽ
5. 
   α Π ό ʔ ߈ ܸ ର ࡦ ͷ ̍ ͭ ͱ ͠ ͯ ɼ ෆ ਖ਼ ͳ ௨ ৴ Λ ݕ ஌ ͢ Δ ৵ೖݕ஌γεςϜ *%4 *OUSVTJPO %FUFDUJPO 4ZTUFN ͕ଘࡏ͢Δɽ ಛʹ࠷ۙͰ͸ɼػցֶशܕ*%4ͷݚڀ͕੝ΜʹߦΘΕ͍ͯΔɽ σʔλͷେଟ਺͸ਖ਼ৗͰ͋ΔͱԾఆͯ͠ɼ ਖ਼ৗσʔλͷΈΛֶश͢Δख๏ • LNFBOT๏ • 0OFDMBTT
   47. ͳͲ ڭࢣͳֶ͠शܕ ϥϕϧͷ෇༩͕ෆཁ ֶश ৽نσʔλ ਖ਼ৗσʔλ ਖ਼ৗϞσϧ ਖ਼ৗϞσϧ ਖ਼ৗͷԾఆ͕೉͍͠ ڭࢣ͋Γֶशܕ ϥϕϧͷ͍ͭͨڭࢣσʔλΛֶश͢ Δख๏ • L
   ۙ๣๏ • χϡʔϥϧωοτϫʔΫ ͳͲ ਖ਼ৗσʔλ ҟৗσʔλ ֶश Ϟσϧ ৽نσʔλ Ϟσϧ ط஌߈ܸʢ·ͨ͸ྨࣅ߈ܸʣ ʹରͯ͠ߴ͍ݕ஌཰
6. 
   ҟৗݕ஌ τϥϑΟοΫ ݕূ ରॲ ͲΜͳҟৗʁ ຊ౰ʹҟৗʁ  ਖ਼ৗҟৗ  ҟৗͷछྨ ख๏ ༧ଌਫ਼౓ ֶशର৅ จݙ χϡʔϥϧωοτϫʔΫ 
    ਖ਼ৗҟৗ  αϙʔτϕΫλʔϚγϯ 
    ਖ਼ৗҟৗ  -45. 
    ҟৗͷछྨʢछʣ  ϕΠδΞϯωοτϫʔΫ 
    ҟৗͷछྨʢछʣ  ද ػցֶशܕ*%4ͷઌߦݚڀͷྫ ͢Ͱʹߴ͍༧ଌਫ਼౓͕ใࠂ͕ଘࡏ ଟ͘ͷ࣌ؒΛඅ΍͢  4
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7. 
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8. 
   ը૾ॲཧͷ෼໺Ͱ͸ɼೖྗը૾ͷͲͷ෦෼͕ॏཁͰ͋Δ͔Λఆྔత਺஋͓Αͼ ͦΕʹج͍ͮͨՄࢹԽʹΑͬͯ൑ఆ݁ՌΛઆ໌͢Δख๏͕͢ͰʹఏҊ͞Ε͍ͯΔ ਤ ൑ఆ݁ՌͷՄࢹԽʹΑΔઆ໌ΛՄೳʹͨ͠ઌߦݚڀ  .
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9. 
       DARPA 1998 Dataset  
              *1  5$1  )551  4:/  "$, ྫʣ ֤ϑΟʔϧυ৘ใ͸ɼϓϩτίϧʹैͬͨ࣌ܥྻతڍಈΛࣔ͢ɽ 4ZO 4ZO "DL "DL ྫ ΢ΣΠϋϯυγΣΠΫ τϥϑΟοΫσʔλΛෳ਺ͷཁૉͱͦΕΒͷؔ܎ੑΛ௚ײతʹཧղͰ͖Δ άϥϑߏ଄Ͱදݱ͢Δ͜ͱʹண໨ͨ͠ɽ ҎԼͷఆٛʹΑΓɼτϥϑΟοΫΛάϥϑߏ଄Խ͢Δɽ ϊʔυɿϑΟʔϧυ৘ใ ΤοδɿϑΟʔϧυ৘ใͷ࣌ܥྻతڍಈͷ૬ؔ άϥϑߏ଄Խ
10.  
          *1  5$1  )551  4:/  "$, 4ZO 4ZO "DL "DL 4ZO 4ZO "DL       *1  5$1  )551  4:/  "$, ૬ؔؔ܎ͷ่Ε ڭࢣͳֶ͠श ˠ ҟৗ ˠ ਖ਼ৗ άϥϑߏ଄Խ ྫʣ ϥϕϧͷ෇༩ ڭࢣ͋Γֶश τϥϑΟοΫͷάϥϑߏ଄ԽΛར༻͠ɼఆྔత਺஋ʹج͍ͮͨՄࢹԽʹΑ ͬͯݕ஌݁Ռʢҟৗʣͷઆ໌͕Ͱ͖Δػցֶशܕ*%4ͷ࣮ݱΛ໨తͱ͢Δɽ ຊݚڀͰண໨      ՄࢹԽͷྫʣ ϊʔυ ෦෼άϥϑ  5
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11.  എܠ  ໨త  ఏҊख๏  ࣮ݧ݁Ռ 
    τϥϑΟοΫσʔλͷάϥϑԽ 
    ৵ೖݕ஌͓ΑͼՄࢹԽ  ·ͱΊ
12.  
     ՄࢹԽ %"31" ෳ਺ͷ࣌ܥྻಛ௃ྔΛநग़ ର਺ࠩ෼ܥྻσʔλ΁ͷม׵ ඪ४Խ ૄߏ଄ֶशʢ(SBQIJDBM
    -BTTPʣ d
    ڭࢣ͋Γֶश d άϥϑ৞ΈࠐΈχϡʔϥϧωοτϫʔΫ άϥϑߏ଄Խͨ͠τϥϑΟοΫσʔλʹج͍ͮͨػցֶशख๏Λར༻͢Δ ͜ͱʹΑΓɺ৵ೖݕ஌͓ΑͼՄࢹԽͷ྆ํΛ࣮ݱ͢Δɽ લॲཧ σʔληοτ άϥϑߏ଄Խ ৵ೖݕ஌ ֶशϞσϧ 'JOHFS
    1SJOU ػցֶशख๏
13.  
     ि ༵೔ ߈໊ܸ ࣌ؒ  ݄ GPSNBU   ݄ GGC   Ր MPBENPEVMF  ʜ ʜ ʜ ʜ  ۚ OFQUVOF   ۚ TNVSG   ۚ OFQUVOF   ۚ CBDL  ද %"31"
    
    %BUBTFUͷ߈ܸ৘ใ ఏҊख๏Ͱ͸ɼϥϕϧ͕෇༩͞ΕͨύέοτΩϟϓνϟܕͷτϥϑΟοΫ͕ ඞཁͰ͋ΔͨΊɼ%"31"Λ࢖༻ͨ͠ɽຊσʔληοτ͸ɼԾ૝తʹߏங ͨ͠ωοτϫʔΫ΁ͷ߈ܸΛ૝ఆͨ͠ͱ͖ͷ5DQEVNQσʔλ͓Αͼ߈ܸ৘ใΛ ఏڙ͍ͯ͠Δɽ 4:/GMPPE 4NVSG %"31"
    σʔληοτ dि ͷ͏ͪɼ 
    ि໨ͷ༵ۚ೔ͷσʔλΛ࢖༻ͨ͠ 4ZO 4ZO "DL QJOH
14.  
     छྨͷ࣌ܥྻಛ௃ྔʹ෼ղ ର਺ࠩ෼ ෼ࠩ෼ ՄࢹԽ %"31" ෳ਺ͷ࣌ܥྻಛ௃ྔΛநग़ ର਺ࠩ෼ܥྻσʔλ΁ͷม׵ ඪ४Խ ૄߏ଄ֶशʢ(SBQIJDBM
    -BTTPʣ d
    ڭࢣ͋Γֶश d άϥϑ৞ΈࠐΈχϡʔϥϧωοτϫʔΫ ৵ೖݕ஌ ֶशϞσϧ 'JOHFS
    1SJOU
15.  ʜ ʜ
     ΢Οϯυ΢αΠζ෼ ຊݚڀͰ͸ɼ-
    ੍໿෇͖ͷૄߏ଄ֶशख ๏Ͱ͋Δ(SBQIJDBM
    -BTTPΛར༻͠ɼ෼ͷ ΢Οϯυ΢αΠζͰάϥϑߏ଄Խͨ͠ɽ ՄࢹԽ %"31" ෳ਺ͷ࣌ܥྻಛ௃ྔΛநग़ ର਺ࠩ෼ܥྻσʔλ΁ͷม׵ ඪ४Խ ૄߏ଄ֶशʢ(SBQIJDBM
    -BTTPʣ d
    ڭࢣ͋Γֶश d άϥϑ৞ΈࠐΈχϡʔϥϧωοτϫʔΫ ৵ೖݕ஌ ֶशϞσϧ 'JOHFS
    1SJOU
16. ʜ ʜ ΢Οϯυ΢αΠζ෼ 
                               ग़ྗ: ʢਖ਼ৗҟৗʣ ෼ྨ      1PPMJOH 'JOHFSQSJOU 1PPMJOH 'JOHFSQSJOU ̍ۙ๣ ۙ๣ ʜ ʜ // ˎ 8 ˎ 8 ˎ 8 $POW૚ $POW૚ ˎ 8 ˎ 8 ˎ 8 ೖྗ άϥϑ৞ΈࠐΈχϡʔϥϧωοτϫʔΫ 'JOHFSQSJOU௕ɿ  ࠷େۙ๣਺ɿ  ӅΕ૚αΠζɿ  όοναΠζɿ  ΤϙοΫ਺ɿ  σʔλͷׂ߹ʢ܇࿅ɿݕূʣɿ70:30 ($//
    ͷֶशύϥϝʔλ %"31" ෳ਺ͷ࣌ܥྻಛ௃ྔΛநग़ ର਺ࠩ෼ܥྻσʔλ΁ͷม׵ ඪ४Խ ૄߏ଄ֶशʢ(SBQIJDBM
    -BTTPʣ d
    ڭࢣ͋Γֶश d άϥϑ৞ΈࠐΈχϡʔϥϧωοτϫʔΫ ՄࢹԽ ৵ೖݕ஌ ֶशϞσϧ 'JOHFS
    1SJOU
17. άϥϑ৞ΈࠐΈχϡʔϥϧωοτϫʔΫʢ($//ʣ
     
    IUUQTMJCSBSZOBJTUKQNZMJNFEJPEMMJNFEJPTIPXQEGDHJ%-1%'3@1 $//ͷ৔߹ ($//ͷ৔߹ $//ͷ৔߹ɼݩը૾ͱϑΟϧλʔͱͷ৞ΈࠐΈԋࢉʹΑΓɼಛఆըૉͱपΓ ͷըૉͱͷؔ܎ੑʢಛ௃ʣΛ࣍ͷ૚΁ͱ౉͢ɽ($//͸ɼϊʔυʹΑͬͯۙ઀ϊ ʔυͷ਺͸ҟͳΔ͕ɼ$//ͱಉ༷ʹ஫໨ϊʔυͱͦͷपΓͷϊʔυͱͷؔ܎ੑΛ ৞ΈࠐΈԋࢉʹΑΓ࣍ͷ૚΁ͱ౉͢ɽ ਤ άϥϑ৞ΈࠐΈχϡʔϥϧωοτϫʔΫͷུ֓ਤ͓Αͼάϥϑදݱ ਤ ৞ΈࠐΈԋࢉͷྫ͓Αͼάϥϑදݱ                           ग़ྗ: ʢਖ਼ৗҟৗʣ ෼ྨ      1PPMJOH 'JOHFSQSJOU 1PPMJOH 'JOHFSQSJOU ̍ۙ๣ ۙ๣ ʜ ʜ // ˎ 8 ˎ 8 ˎ 8 $POW૚ $POW૚ ˎ 8 ˎ 8 ˎ 8 ೖྗ ݩը૾ ϑΟϧλʔ I I I I
18. άϥϑ৞ΈࠐΈχϡʔϥϧωοτϫʔΫʢ($//ʣ
     
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     ຊݚڀͰ͸ɼ($//ͷதͰ΋/'1 /FVSBM 'JOHFS 1SJOUΛར༻͢Δɽઌߦݚڀ Ͱ͸ɼಟੑͳͲͷߴਫ਼౓ͳ༧ଌʹ੒ޭ͠ɼ'JOHFS 1SJOUͷੜ੒ʹ੒ޭͨ͠ɽ 'JOHFS 1SJOU͸ɼೖྗͨ͠άϥϑߏ଄Λ࣍ݩϕΫτϧͰදݱͨ͠΋ͷͰ͋Δɽ ֤Ϗοτ͕෦෼άϥϑʹ૬౰͠ɼ஋͕݁Ռʢಟੑʣʹର͢ΔӨڹ౓ ʹ૬౰͢Δɽ ਤ ಟੑΛ༧ଌ͢ΔͨΊʹ࠷దԽ͞Εͨ'JOHFS
    1SJOUͷՄࢹԽ                           ग़ྗ: ʢਖ਼ৗҟৗʣ ෼ྨ      1PPMJOH 'JOHFSQSJOU 1PPMJOH 'JOHFSQSJOU ̍ۙ๣ ۙ๣ ʜ ʜ // ˎ 8 ˎ 8 ˎ 8 $POW૚ $POW૚ ˎ 8 ˎ 8 ˎ 8 ೖྗ ಟ ੑ                  ʜ ˞ਖ਼֬ʹ͸ɼͰ͸ͳ͘d·Ͱͷ஋ 'JOHFS1SJOU ਤ /'1ͷωοτϫʔΫུ֓ਤ
19. άϥϑ৞ΈࠐΈχϡʔϥϧωοτϫʔΫʢ($//ʣ
     
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     ຊݚڀͰ͸ɼ($//ͷதͰ΋/'1 /FVSBM 'JOHFS 1SJOUΛར༻͢Δɽઌߦݚڀ Ͱ͸ɼಟੑͳͲͷߴਫ਼౓ͳ༧ଌʹ੒ޭ͠ɼ'JOHFS 1SJOUͷੜ੒ʹ੒ޭͨ͠ɽ 'JOHFS 1SJOU͸ɼೖྗͨ͠άϥϑߏ଄Λ࣍ݩϕΫτϧͰදݱͨ͠΋ͷͰ͋Δɽ ֤Ϗοτ͕෦෼άϥϑʹ૬౰͠ɼ஋͕݁Ռʢಟੑʣʹର͢ΔӨڹ౓ ʹ૬౰͢Δɽ ਤ ಟੑΛ༧ଌ͢ΔͨΊʹ࠷దԽ͞Εͨ'JOHFS
    1SJOUͷՄࢹԽ                           ग़ྗ: ʢਖ਼ৗҟৗʣ ෼ྨ      1PPMJOH 'JOHFSQSJOU 1PPMJOH 'JOHFSQSJOU ̍ۙ๣ ۙ๣ ʜ ʜ // ˎ 8 ˎ 8 ˎ 8 $POW૚ $POW૚ ˎ 8 ˎ 8 ˎ 8 ೖྗ ಟ ੑ                  ʜ ˞ਖ਼֬ʹ͸ɼͰ͸ͳ͘d·Ͱͷ஋ 'JOHFS1SJOU ਤ /'1ͷωοτϫʔΫུ֓ਤ άϥϑԽͨ͠τϥϑΟοΫσʔλΛ($//Ͱֶश͢Δ͜ͱʹΑΓɼ ݕ஌݁ՌʢҟৗʣΛઆ໌Ͱ͖Δ෦෼άϥϑͷՄࢹԽ͕Ͱ͖Δͱߟ͑ΒΕΔɽ
20. ʜ ʜ ΢Οϯυ΢αΠζ෼  
                              ग़ྗ: ʢਖ਼ৗҟৗʣ ෼ྨ      1PPMJOH 'JOHFSQSJOU 1PPMJOH 'JOHFSQSJOU ̍ۙ๣ ۙ๣ ʜ ʜ // ˎ 8 ˎ 8 ˎ 8 $POW૚ $POW૚ ˎ 8 ˎ 8 ˎ 8 ೖྗ άϥϑ৞ΈࠐΈχϡʔϥϧωοτϫʔΫ 'JOHFSQSJOU௕ɿ  ࠷େۙ๣਺ɿ  ӅΕ૚αΠζɿ  όοναΠζɿ  ΤϙοΫ਺ɿ  σʔλͷׂ߹ʢ܇࿅ɿݕূʣɿ70:30 ($//
    ͷֶशύϥϝʔλ ՄࢹԽ %"31" ෳ਺ͷ࣌ܥྻಛ௃ྔΛநग़ ର਺ࠩ෼ܥྻσʔλ΁ͷม׵ ඪ४Խ ૄߏ଄ֶशʢ(SBQIJDBM
    -BTTPʣ d
    ڭࢣ͋Γֶश d άϥϑ৞ΈࠐΈχϡʔϥϧωοτϫʔΫ ৵ೖݕ஌ ֶशϞσϧ 'JOHFS
    1SJOU
21.  എܠ  ໨త  ఏҊख๏  ࣮ݧ݁Ռ 
    τϥϑΟοΫσʔλͷάϥϑԽ 
    ৵ೖݕ஌͓ΑͼՄࢹԽ  ·ͱΊ
22. τϥϑΟοΫσʔλͷάϥϑԽ
    
    छྨͷ࣌ܥྻಛ௃ྔʹ- ੍໿෇͖ͷૄߏ଄ֶशख๏(SBQIJDBM -BTTPΛద ༻ͨ݁͠Ռɼૄͳ૬ؔؔ܎ͷάϥϑߏ଄͕ಘΒΕΔ͜ͱΛ֬ೝͨ͠ɽ ૄͳάϥϑߏ଄ʹ͢Δ͜ͱʹΑΓɼ৘ใྔͷѹॖ΍ϊΠζ΁ͷؤڧੑʹ༗ޮͰ ͋Δͱߟ͑ΒΕΔɽ (SBQIJDBM
    -BTTP ਤ τϥϑΟοΫσʔλ͔Β࡞੒ͨ͠άϥϑߏ଄(SBQIJDBM
    -BTTPͷద༻લ͓Αͼ ద༻ޙ
23.  എܠ  ໨త  ఏҊख๏  ࣮ݧ݁Ռ 
    τϥϑΟοΫσʔλͷάϥϑԽ 
    ৵ೖݕ஌͓ΑͼՄࢹԽ  ·ͱΊ
24.  
     ਖ਼ղσʔλ ༧ଌ݁Ռ άϥϑߏ଄Խͨ͠τϥϑΟοΫσʔλΛ($//Ͱֶशͨ݁͠Ռɼ༧ଌਫ਼౓͕ ͱͳͬͨɽ͜ͷ஋͸ઌߦݚڀͰใࠂ͞Ε͍ͯΔ஋ͱಉఔ౓ʹߴ͍஋Ͱ͋Δɽ ਤ ਖ਼ղσʔλ͓ΑͼֶशϞσϧʹΑΔ༧ଌ݁Ռ ख๏ ༧ଌਫ਼౓ จݙ χϡʔϥϧωοτϫʔΫ 
      αϙʔτϕΫλʔϚγϯ 
      -45. 
      ϕΠδΞϯωοτϫʔΫ 
      ද ػցֶशܕ*%4ͷઌߦݚڀͷྫ  4
    .VLLBNBMB FU
    BM
    5SBJOJOH
       +
    ,JN
    FU
    BM
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    JO
    1SPD
    *OU
    $POG
    1MBUGPSN
    5FDIOPM
    4FSWJDF
    
    r  4
    $IFCSPMV FU
    BM
    $PNQVUFST
    
    4FDVSJUZ
    
    
    
    
25.  
     ($//Ͱֶशͨ͠ϞσϧΛར༻͠ɼ'JOHFS 1SJOUͷऔಘʹ੒ޭͨ͠ɽ 4:/GMPPE߈ܸ࣌ɼҟৗ͕ݕ஌͞Εɼ'JOHFS 1SJOU಺Ͱߴ͍Өڹ౓Λࣔ͢෦ ෼άϥϑ͸ɼ)551ͱ4:/ͷ૬ؔؔ܎ʹؔ࿈͢Δ΋ͷͰ͋ͬͨɽ (a) (b) ਤ 'JOHFSQSJOU
    ͓ΑͼҟৗͷཁҼͱͳͬͨ෦෼άϥϑͷҰྫ
    4:/qPPE߈ܸ ෦෼άϥϑ 'JOHFS
    1SJOU Өڹ౓
26.  
     4NVSG߈ܸ࣌ɼ'JOHFS1SJOU಺ͷӨڹ౓ͷߴ͍෦෼άϥϑ͸ɼૹ৴ݩ*1͓Αͼ *$.1ͷ૬ؔؔ܎ʹؔ࿈͢Δ΋ͷͰ͋ͬͨɽ ఏҊख๏ᶄͰ͸ϊʔυؒͷ૬ؔؔ܎ʢ෦෼άϥϑʣͷՄࢹԽͰ͖ΔͨΊɼϊ ʔυͷՄࢹԽͷΈͰ͋ͬͨఏҊख๏ᶃΑΓ΋۩ମతͳઆ໌ੑ͕ظ଴Ͱ͖Δɽ (b) ਤ 'JOHFSQSJOU
    ͓ΑͼҟৗͷཁҼͱͳͬͨ෦෼άϥϑͷҰྫ
    4:/GMPPE߈ܸ ෦෼άϥϑ 'JOHFS
    1SJOU Өڹ౓
27. 
                               ग़ྗ: ʢਖ਼ৗҟৗʣ ෼ྨ      1PPMJOH 'JOHFSQSJOU 1PPMJOH 'JOHFSQSJOU ̍ۙ๣ ۙ๣ ʜ ʜ // ˎ 8 ˎ 8 ˎ 8 $POW૚ $POW૚ ˎ 8 ˎ 8 ˎ 8 ೖྗ ($//Ͱ͸ɺ ਖ਼ৗঢ়ଶ͓Αͼҟৗঢ়ଶΛ෦෼άϥϑ୯ҐͰֶश͢ΔͨΊɼෳ਺ͷਖ਼ৗঢ় ଶ͕ଘࡏ͢Δ৔߹ʹ΋ؤڧͳݕ஌͕ظ଴Ͱ͖Δɽ ਤ /'1ͷωοτϫʔΫུ֓ਤ Ұൠతͳڭࢣͳֶ͠शͰ͸ɺ ୯Ұͷਖ਼ৗঢ়ଶΛԾఆ͢Δ৔߹ɼෳ਺ͷਖ਼ৗঢ়ଶʢ࣌ؒґଘ΍؀ڥґଘͳͲʣ ͕ଘࡏͨ͠ࡍʹޡݕ஌͢Δ৔߹͕༧૝͞ΕΔɽ
28.  എܠ  ໨త  ఏҊख๏  ࣮ݧ݁Ռ 
    τϥϑΟοΫσʔλͷάϥϑԽ 
    ৵ೖݕ஌͓ΑͼՄࢹԽ  ·ͱΊ
29. 
     ·ͱΊ • τϥϑΟοΫσʔλͷάϥϑߏ଄Խʹ੒ޭͨ͠ɽ • άϥϑߏ଄ʹج͍ͮͨػցֶशख๏ΛఏҊͨ͠ɽ • ৵ೖݕ஌ͷΈͳΒͣɼݕ஌݁ՌΛఆྔతͳ਺஋ ʹج͍ͮͨϊʔυ΍෦෼άϥϑͷՄࢹԽʹΑͬ ͯઆ໌Ͱ͖Δ*%4࣮ݱͷՄೳੑΛࣔͨ͠ɽ ࠓޙͷ՝୊ • ࠷৽σʔληοτͰͷ༗ޮੑݕূ • ϊʔυʢ࣌ܥྻಛ௃ྔʣͷछྨͷ࠶ݕ౼ • 'JOHFS
    1SJOUͷΫϥελϦϯάʹΑΔઆ໌ੑͷ ޲্ • άϥϑߏ଄ʹର͢Δ"VUP&ODPSEFSͳͲɺڭࢣ ͳֶ͠शΛར༻ͨ͠*%4ͷݕ౼ ͝ਗ਼ௌ͋Γ͕ͱ͏͍͟͝·ͨ͠ %"31" ෳ਺ͷ࣌ܥྻಛ௃ྔΛநग़ ର਺ࠩ෼ܥྻσʔλ΁ͷม׵ ඪ४Խ ૄߏ଄ֶशʢ(SBQIJDBM
    -BTTPʣ ՄࢹԽ d
    ڭࢣ͋Γֶश d άϥϑ৞ΈࠐΈχϡʔϥϧωοτϫʔΫ ৵ೖݕ஌ ֶशϞσϧ 'JOHFS
    1SJOU