Rで有名絵画を安全に買いたい

TokyoR #101 LT

Transcript

1. 3Ͱ༗໊ֆըΛ҆શʹങ͍͍ͨ
   !TBMUDPPLZ
   5PLZP3
   1
   

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2. ୭ʁ 2
   !TBMUDPPLZ
   • 3ྺɿ೥͙Β͍͔ͳ
   • ۈઌɿ࿡ຊ໦ʹ͋Δ*5ܥͷձࣾ
   • ࢓ࣄ಺༰ɿ3%తͳ෦ॺͰ
   

   ɹɹɹ3Λ࢖ͬͨσʔλ෼ੳ԰͞Μ
   

   ػցֶशͷॲཧ࡞੒
   • झຯɿ෰ϑΝογϣϯඒज़ؗ८Γ
   

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3. δϟΫιϯϙϩοΫΛ஌͍ͬͯ·͔͢ 3
   +BDLTPO1PMMPL
   

   
   
   

   ந৅දݱओٛͷ୅දతͳΞϝϦΧਓըՈ
   

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4. δϟΫιϯϙϩοΫΛ஌͍ͬͯ·͔͢ 4
   υϩοϓϖΠϯςΟϯά
   

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5. δϟΫιϯϙϩοΫΛ஌͍ͬͯ·͔͢ 5
   ʰ/P ʱ
   ºNN
   

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6. δϟΫιϯϙϩοΫΛ஌͍ͬͯ·͔͢ 6
   ʰ/P ʱ
   ºNN
   ೥݄
   ݱ୅ඒज़඼࠷ߴֹ ౰࣌
   
   ԯສυϧ
   

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7. δϟΫιϯϙϩοΫΛ஌͍ͬͯ·͔͢ 7
   ཉ͍͠ʂ
   

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8. δϟΫιϯϙϩοΫΛ஌͍ͬͯ·͔͢ 8
   ͚Ͳɺِ෺΋ଟͦ͏ʜ
   

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9. ϙϩοΫͷֆըΛղੳͨ͠ݚڀ 9
   • Fractal analysis of Pollock’s drip paintings.
   

   (R.P.Taylor, et al , 1999)
   

   • On multifractal structure in non-representational art.
   (J.R.Nureika, et al , 2005)
   

   ˠϙϩοΫͷυϩοϓϖΠϯςΟϯάʹ
   

   ϑϥΫλϧߏ଄͕͋Δ͜ͱ͕Θ͔Δ
   

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10. ϑϥΫλϧߏ଄ 10
    ਤܗͷҰ෦Λ֦େ͢Δͱɺશମͱ૬ࣅ͢Δܗ ࣗݾ૬ࣅੑ
    ͕ଘࡏ͢Δߏ଄
    FYγΣϧϐϯεΩʔͷΪϟεέοτ
    

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11. ϑϥΫλϧ࣍ݩ ༰ྔ࣍ݩϋυϧϑ࣍ݩ
    11
    w ͲΕ͚ͩࣗݾ૬ࣅੑ͕͋Δ͔Λࣔ͢ྔ
    w ֤ۭؒํ޲ʹ-ʹॖΊΔͱɺ΋ͱͷਤܗΛຒΊΔʹ͸/-%ݸ
    ͷࣗݾ૬ࣅਤܗ͕ඞཁͱ͍͏͜ͱΛදݱ
    

    w ʙͷؒΛͱΓɺʹ͍ۙ΄Ͳࣗݾ૬ؔੑ͕ڧ͍
    w γΣϧϐϯεΩʔͷΪϟεέοτͷ࣍ݩ਺͸
    w ղੳతʹ͸#PY$PVOUJOHΞϧΰϦζϜʹΑΓਪఆ
    

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12. #PY$PVOUJOHΞϧΰϦζϜ 12
    ϑϥΫλϧ࣍ݩΛٻΊΔྲྀΕ
    ̍ର৅ը૾ΛҰลͷ௕͕͞-ͷϒϩοΫʹ෼͚Δ
    

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13. #PY$PVOUJOHΞϧΰϦζϜ 13
    ϑϥΫλϧ࣍ݩΛٻΊΔྲྀΕ
    ̍ର৅ը૾ΛҰลͷ௕͕͞-ͷϒϩοΫʹ෼͚Δ
    

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14. #PY$PVOUJOHΞϧΰϦζϜ 14
    ϑϥΫλϧ࣍ݩΛٻΊΔྲྀΕ
    ̎ର৅͕өΓࠐΜͰ͍ΔϒϩοΫͷ਺/ -
    Λ਺͑Δ
    

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15. #PY$PVOUJOHΞϧΰϦζϜ 15
    ϑϥΫλϧ࣍ݩΛٻΊΔྲྀΕ
    ϒϩοΫେ͖͞-Λখͯ͘͞͠ର৅ը૾Λ෼͚Δ
    

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16. #PY$PVOUJOHΞϧΰϦζϜ 16
    ϑϥΫλϧ࣍ݩΛٻΊΔྲྀΕ
    ର৅͕өΓࠐΜͰ͍ΔϒϩοΫͷ਺/ -
    Λ਺͑Δ
    

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17. #PY$PVOUJOHΞϧΰϦζϜ 17
    ϑϥΫλϧ࣍ݩΛٻΊΔྲྀΕ
    େ͖͞-Λখ͘͞͠ͳ͕Βର৅͕өΔϒϩοΫΛΧ΢ϯτ͢Δ
    

    ɹ͜ͱΛ܁Γฦ͢
    

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18. #PY$PVOUJOHΞϧΰϦζϜ 18
    ϑϥΫλϧ࣍ݩΛٻΊΔྲྀΕ
    ϒϩοΫͷେ͖͞-ͱΧ΢ϯτ਺/ -
    ͷ྆ର਺άϥϑʹ͓͚Δ
    

    ɹճؼ௚ઢͷ܏͖͕ϑϥΫλϧ࣍ݩʹͳΔ
    log N(L) = D log(L) + K ʢ,ఆ਺ʣ
    MPH/ -
    
    MPH-
    ޯ഑%ʹ
    ϑϥΫλϧ࣍ݩ
    

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19. 19
    w ͳͥ͜ΕͰϑϥΫλϧ࣍ݩΛਪఆ͢Δ͜ͱ͕Ͱ͖Δͷ͔
    

    ఆ͔ٛΒͷมܗ
    log N(L) = log(
    a
    L
    )D
    log N(L) = D log(L) + D log(a)
    #PY$PVOUJOHΞϧΰϦζϜ
    ʢBɿਖ਼ͷఆ਺ʣ
    

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20. 20
    δϟΫιϯϙϩοΫͷ࡞඼ͷ৔߹
    w -DNͰϑϥΫλϧ࣍ݩ͕มԽ
    w %% -Ҏ্
    %- -ະຬ
    
    ʰ#MVF1PMFT/VNCFS ʱ
    MPH -
    NN
    MPH /
    
    #PY$PVOUJOHΞϧΰϦζϜ
    

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21. ϙϩοΫͷֆըͷಛ௃ 21
    ʢ̍ʣ̎छͷϑϥΫλϧύλʔϯ͔Β੒Δ
    ʢ̎ʣ༷ʑͳεέʔϧʹ͓͍ͯϑϥΫλϧੑ͕ଘࡏ
    ʢ̏ʣϑϥΫλϧ࣍ݩ͸ର਺άϥϑͷޯ഑͔ΒٻΊΕΔ
    ʢ̐ʣ%-ʼ%%
    ʢ̑ʣۙࣅۂઢͷඪ४ภ͕ࠩখ͍͞ d
    
    ʢ̒ʣ֤৭ͷ૚Ͱ্هͷ̑ͭͷಛ௃Λຬͨ͢
    

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22. 3Ͱ#PY$PVOUJOH 22
    7PY31BDLBHF
    

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23. 3Ͱ#PY$PVOUJOH 23
    γΣϧϐϯεΩʔͷΪϟεέοτͷϑϥΫλϧ࣍ݩΛٻΊΔ
    ը૾ॲཧ
    

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24. 3Ͱ#PY$PVOUJOH 24
    γΣϧϐϯεΩʔͷΪϟεέοτͷϑϥΫλϧ࣍ݩΛٻΊΔ
    ϑϥΫλϧ࣍ݩΛٻΊΔ
    

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25. 3Ͱ#PY$PVOUJOH 25
    γΣϧϐϯεΩʔͷΪϟεέοτͷϑϥΫλϧ࣍ݩΛٻΊΔ
    ྆ର਺άϥϑͱճؼ௚ઢͷՄࢹԽ
    0
    2
    4
    6
    8
    -7 -6 -5 -4 -3 -2
    log(1/res)
    log(N)
    Box Counting method : D=1.5747
    

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26. ؆୯ʹ·ͱΊ 26
    w δϟΫιϯϙϩοΫͷֆըʹ͸ϑϥΫλϧߏ଄͕ଘࡏ͢Δ
    

    w ϑϥΫλϧߏ଄ͷϑϥΫλϧ࣍ݩΛղੳతʹٻΊΔͨΊʹ
    ͸ɺ#PY$PVOUJOHΞϧΰϦζϜΛ༻͍Δ
    

    w 3Ͱ͸7PY3QBDLBHFͷCPY@DPVOUJOHؔ਺Ͱ࣮ߦͰ͖Δ
    

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27. &/% 27
    &OKPZ
    

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28. ࢀߟࢿྉ 28
    •RʹΑΔը૾ॲཧɿimagerύοέʔδͷ࢖͍ํ

    https://htsuda.net/archives/1985

    •ϘοΫεΧ΢ϯτ๏ʹΑΔඐഀބͷϑϥΫλϧ࣍ݩ

    https://shiga-u.repo.nii.ac.jp/?action=repository_uri&item_id=1751
    

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