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Rで有名絵画を安全に買いたい

saltcooky
September 16, 2022

 Rで有名絵画を安全に買いたい

TokyoR #101 LT

saltcooky

September 16, 2022
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  1. 3Ͱ༗໊ֆըΛ҆શʹങ͍͍ͨ !TBMUDPPLZ 5PLZP3 1

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


    ɹɹɹ3Λ࢖ͬͨσʔλ෼ੳ԰͞Μ 
 ػցֶशͷॲཧ࡞੒ • झຯɿ෰ϑΝογϣϯඒज़ؗ८Γ
  3. δϟΫιϯϙϩοΫΛ஌͍ͬͯ·͔͢ 3 +BDLTPO1PMMPL 
  
 ந৅දݱओٛͷ୅දతͳΞϝϦΧਓըՈ

  4. δϟΫιϯϙϩοΫΛ஌͍ͬͯ·͔͢ 4 υϩοϓϖΠϯςΟϯά

  5. δϟΫιϯϙϩοΫΛ஌͍ͬͯ·͔͢ 5 ʰ/P ʱ ºNN

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

  7. δϟΫιϯϙϩοΫΛ஌͍ͬͯ·͔͢ 7 ཉ͍͠ʂ

  8. δϟΫιϯϙϩοΫΛ஌͍ͬͯ·͔͢ 8 ͚Ͳɺِ෺΋ଟͦ͏ʜ

  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
  10. ϑϥΫλϧߏ଄ 10 ਤܗͷҰ෦Λ֦େ͢Δͱɺશମͱ૬ࣅ͢Δܗ ࣗݾ૬ࣅੑ ͕ଘࡏ͢Δߏ଄ FYγΣϧϐϯεΩʔͷΪϟεέοτ

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

    ʙͷؒΛͱΓɺʹ͍ۙ΄Ͳࣗݾ૬ؔੑ͕ڧ͍ w γΣϧϐϯεΩʔͷΪϟεέοτͷ࣍ݩ਺͸ w ղੳతʹ͸#PY$PVOUJOHΞϧΰϦζϜʹΑΓਪఆ
  12. #PY$PVOUJOHΞϧΰϦζϜ 12 ϑϥΫλϧ࣍ݩΛٻΊΔྲྀΕ ̍ର৅ը૾ΛҰลͷ௕͕͞-ͷϒϩοΫʹ෼͚Δ

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

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

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

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

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

  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
  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
  20. 20 δϟΫιϯϙϩοΫͷ࡞඼ͷ৔߹ w -DNͰϑϥΫλϧ࣍ݩ͕มԽ w %% -Ҏ্ %- -ະຬ ʰ#MVF1PMFT/VNCFS

    ʱ MPH - NN MPH / #PY$PVOUJOHΞϧΰϦζϜ
  21. ϙϩοΫͷֆըͷಛ௃ 21 ʢ̍ʣ̎छͷϑϥΫλϧύλʔϯ͔Β੒Δ ʢ̎ʣ༷ʑͳεέʔϧʹ͓͍ͯϑϥΫλϧੑ͕ଘࡏ ʢ̏ʣϑϥΫλϧ࣍ݩ͸ର਺άϥϑͷޯ഑͔ΒٻΊΕΔ ʢ̐ʣ%-ʼ%% ʢ̑ʣۙࣅۂઢͷඪ४ภ͕ࠩখ͍͞ d  ʢ̒ʣ֤৭ͷ૚Ͱ্هͷ̑ͭͷಛ௃Λຬͨ͢

  22. 3Ͱ#PY$PVOUJOH 22 7PY31BDLBHF

  23. 3Ͱ#PY$PVOUJOH 23 γΣϧϐϯεΩʔͷΪϟεέοτͷϑϥΫλϧ࣍ݩΛٻΊΔ ը૾ॲཧ

  24. 3Ͱ#PY$PVOUJOH 24 γΣϧϐϯεΩʔͷΪϟεέοτͷϑϥΫλϧ࣍ݩΛٻΊΔ ϑϥΫλϧ࣍ݩΛٻΊΔ

  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
  26. ؆୯ʹ·ͱΊ 26 w δϟΫιϯϙϩοΫͷֆըʹ͸ϑϥΫλϧߏ଄͕ଘࡏ͢Δ 
 w ϑϥΫλϧߏ଄ͷϑϥΫλϧ࣍ݩΛղੳతʹٻΊΔͨΊʹ ͸ɺ#PY$PVOUJOHΞϧΰϦζϜΛ༻͍Δ 
 w

    3Ͱ͸7PY3QBDLBHFͷCPY@DPVOUJOHؔ਺Ͱ࣮ߦͰ͖Δ
  27. &/% 27 &OKPZ

  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