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ๅ͘͡IBDL !UPUPUUJ σʔλαΠΤϯεͰ

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ࣗݾ঺հ w !UPUPUUJ w J04ΞϓϦ࡞ͬͯ·͢

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ۙگ

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૯຿ল౷ܭہͷແྉߨ࠲

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σʔλαΠΤϯςΟετʹͳΓ·ͨ͠ ʁ

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ֶΜͩ͜ͱΛ໾ཱ͍ͯͨ

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ๅ͘͡IBDL

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ๅ͘͡ w ී௨ͷๅ͘͡ w ൪߸͸ҹ࡮͞Ε͍ͯΔɻ w ˠIBDLෆՄೳ w -050͘͡ w ൪߸ΛબΜͰങ͑Δɻ w ˠ)BDLՄೳ ͔΋

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.*/*-050 w ʙ·Ͱͷ਺ࣈͷத͔Βɺݸͷ਺ࣈΛબͿ w நͤΜ਺ࣈͱҰக͍ͯ͠Ε͹ɺ౰બ

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.*/*-050ͷظ଴஋ ౳ ౰ͨΓ৚݅ ֬཰ ౰બֹۚ(ฏۉ) ظ଴஋ 1౳ ਃࠐ਺ࣈ͕ຊ਺ࣈ5ݸͱશͯҰ கɻ 1 / 169,911 10,046,800 59.13 2౳ ਃࠐ਺ࣈ5ݸͷ͏ͪ4ݸ͕ຊ਺ ࣈʹҰக͠ɺ׌ͭ࢒Γ1ݸͷਃ ࠐ਺ࣈ͕Ϙʔφε਺ࣈͱҰ கɻ 5 / 169,911 144,300 4.25 3౳ ਃࠐ਺ࣈ5ݸͷ͏ͪ4ݸ͕ຊ਺ ࣈʹҰகɻୠ͠2౳౰ͤΜ৚݅ Λআ͘ɻ 125 / 169,911 10,000 7.36 4౳ ਃࠐ਺ࣈ5ݸͷ͏ͪ3ݸ͕ຊ਺ ࣈʹҰகɻ 3,250 / 169,911 1,000 19.13 ߹ܭ 89.86 ຕԁͳͷʹɺԁ͔͠ฦͬͯ͜ͳ͍൵͠Έʜ

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r౰ͤΜۚ෇ূථ๏ୈ৚ l౰ͤΜۚ෇ূථͷ౰ͤΜۚ඼ͷֹۚຢ͸Ձ֨ ͷ૯ֹ͸ɺͦͷൃച૯ֹͷޒׂʹ૬౰͢Δֹ Λ͑ͯ͜͸ͳΒͳ͍ɻz ͭ·Γɺ௨ৗ͸ๅ͘͡ͷظ଴஋͸ҎԼɻ

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-050ͷ౰બֹۚͷܾΊํ w ౰બۚ༻ͷ༧ࢉΛɺ౰બऀ਺ͰׂΔ w ౰બऀ਺͕গͳ͍΄Ͳɺ౰બֹ͕ۚଟ͍ w .*/*-050ͷ৔߹ɺ࠷େສԁ

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.*/*-050 ઍສԁ ౳ ౰ͨΓ৚݅ ֬཰ ౰બֹۚ(ฏۉ) ظ଴஋ 1౳ ਃࠐ਺ࣈ͕ຊ਺ࣈ5ݸͱશͯҰ கɻ 1 / 169,911 40,000,000 235.42 2౳ ਃࠐ਺ࣈ5ݸͷ͏ͪ4ݸ͕ຊ਺ ࣈʹҰக͠ɺ׌ͭ࢒Γ1ݸͷਃ ࠐ਺ࣈ͕Ϙʔφε਺ࣈͱҰ கɻ 5 / 169,911 144,300 4.25 3౳ ਃࠐ਺ࣈ5ݸͷ͏ͪ4ݸ͕ຊ਺ ࣈʹҰகɻୠ͠2౳౰ͤΜ৚݅ Λআ͘ɻ 125 / 169,911 10,000 7.36 4౳ ਃࠐ਺ࣈ5ݸͷ͏ͪ3ݸ͕ຊ਺ ࣈʹҰகɻ 3,250 / 169,911 1,000 19.13 ߹ܭ 266.15 ຕԁͰɺԁͷϦλʔϯʜʂ

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.*/*-050 ઍສԁ ౳ ౰ͨΓ৚݅ ֬཰ ౰બֹۚ(ฏۉ) ظ଴஋ 1౳ ਃࠐ਺ࣈ͕ຊ਺ࣈ5ݸͱશͯҰ கɻ 1 / 169,911 30,000,000 176.56 2౳ ਃࠐ਺ࣈ5ݸͷ͏ͪ4ݸ͕ຊ਺ ࣈʹҰக͠ɺ׌ͭ࢒Γ1ݸͷਃ ࠐ਺ࣈ͕Ϙʔφε਺ࣈͱҰ கɻ 5 / 169,911 144,300 4.25 3౳ ਃࠐ਺ࣈ5ݸͷ͏ͪ4ݸ͕ຊ਺ ࣈʹҰகɻୠ͠2౳౰ͤΜ৚݅ Λআ͘ɻ 125 / 169,911 10,000 7.36 4౳ ਃࠐ਺ࣈ5ݸͷ͏ͪ3ݸ͕ຊ਺ ࣈʹҰகɻ 3,250 / 169,911 1,000 19.13 ߹ܭ 207.29 ౳ສԁͰ΋ɺظ଴஋͸ϓϥεɻ

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.*/*-050 ೋઍສԁ ౳ ౰ͨΓ৚݅ ֬཰ ౰બֹۚ(ฏۉ) ظ଴஋ 1౳ ਃࠐ਺ࣈ͕ຊ਺ࣈ5ݸͱશͯҰ கɻ 1 / 169,911 20,000,000 117.71 2౳ ਃࠐ਺ࣈ5ݸͷ͏ͪ4ݸ͕ຊ਺ ࣈʹҰக͠ɺ׌ͭ࢒Γ1ݸͷਃ ࠐ਺ࣈ͕Ϙʔφε਺ࣈͱҰ கɻ 5 / 169,911 144,300 4.25 3౳ ਃࠐ਺ࣈ5ݸͷ͏ͪ4ݸ͕ຊ਺ ࣈʹҰகɻୠ͠2౳౰ͤΜ৚݅ Λআ͘ɻ 125 / 169,911 10,000 7.36 4౳ ਃࠐ਺ࣈ5ݸͷ͏ͪ3ݸ͕ຊ਺ ࣈʹҰகɻ 3,250 / 169,911 1,000 19.13 ߹ܭ 148.44 ౳ສԁͩͱɺظ଴஋͸ϚΠφεɻ

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ͭ·Γʜ w ߪೖऀ͕ଟ͍ɺ୭΋͕ങ͏Α͏ͳ ౰બֹ͕ۚ গͳ͍ ૊߹ͤΛߪೖ͢Δͱɺ࣮֬ʹଛΛ͢Δ w ߪೖऀ͕গͳ͍ ౰બֹ͕ۚଟ͍ ૊߹ͤΛങ͏ ͜ͱͰɺऩࢧΛϓϥεʹग़དྷΔՄೳੑ͕͋Δɻ

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աڈͷ౰બֹۚ෼෍ ສҎ্΋ଘࡏ͍ͯ͠Δɻ

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աڈͷ౰બֹۚ෼෍ ສҎ্͕ଘࡏʜ ֹۚ ʙ  ສʙ  ສʙ  ສʙ  ສʙ  ສʙ  ສʙ  ສʙ  ສ ਺          ׂ߹         

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΅͘ͷ͔Μ͕͑ͨ ͍͖͞ΐ͏ͷઓུ w .*/*-050ͷ૊߹ͤ   ͷ͏ͪɺظ଴஋ ͕ϓϥεͷ΋ͷΛʰશͯʱങ͏ w ౳͕ສԁҎ্ͱͳΔ૊߹ͤͷΈߪೖ w શମͷ໿ ௨Γສԁ ࣗ෼͕ങ͏෼౰બ͕ۚԼ͕ΔͷͰɺϚʔδϯऔͬͯ·͢

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΅͘ͷ͔Μ͕͑ͨ ͍͖͞ΐ͏ͷઓུ w ظ଴஋͕ϓϥεͷ͘͡Λങ͍ଓ͚Δ w ظ଴஋͕ϓϥεͰ͋Ε͹ɺࢼߦճ਺͕ଟ͍΄ Ͳϓϥεʹऩଋ͍ͯ͘͠ w ສԁߪೖΛ೥ؒ ճ ଓ͚Ε͹ɺ໿ ˋͰ౳͕౰ͨΔˠऩࢧ͕ʴʹͳΔ ͷ͘͡ΛճҾ͍ͨ࣌ɺճҎ্౰ͨΔ֬཰㲈 F

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౰બֹۚ༧ଌ

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εΫϨΠϐϯά w աڈͷ.*/*-050ͷ݁ՌΛεΫϨΠϐϯάͰऔಘɻ w $ISPNFͷϓϥάΠϯͱ͔Λ࢖͍·ͨ͠ɻ ճ෼ͷσʔλΛऩू͠ɺ$47ʹ͠·ͨ͠ɻ

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աڈͷສԁύλʔϯ w      w      w      w      w      w      ͳΜ͔ɺ   ͋ͨΓ͕ո͍͠ʜ

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ॏճؼ෼ੳ w ॏճؼ෼ੳʢ͡Ύ͏͔͍͖ͿΜ͖ͤʣ͸ɺଟม ྔղੳͷҰͭɻճؼ෼ੳʹ͓͍ͯಠཱม਺͕ͭ Ҏ্ʢ࣍ݩҎ্ʣͷ΋ͷɻ<8JLJQFEJB> ΋ͬͱྑ͍ख๏͕͋Γͦ͏ͳؾ͕͠·͢ʜ

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ࣜ • y = a1ɾx1 + a2ɾx2 + … anɾxn + b w ैଐม਺Z w ౳౰બऀͷׂ߹ w આ໌ม਺Y w ʙͷͲͷ਺ࣈ͕બ୒͞Ε͔ͨʁ w ࿈ଓ਺ࣈ͕બ୒͞Ε͔ͨʁ

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w 3ݴޠʢ͋ʔΔ͛Μ͝ʣ͸ΦʔϓϯιʔεɾϑϦʔ ιϑτ΢ΣΞͷ౷ܭղੳ޲͚ͷϓϩάϥϛϯά ݴޠٴͼͦͷ։ൃ࣮ߦ؀ڥͰ͋Δɻ 8JLJQFEJB &YDFMͰग़དྷΔΜͰ͕͢ɺIBDLײΛग़͍ͨ͠ͷͰʜ

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demo

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݁Ռ෼ੳ֤਺ࣈͷਓؾ ෆਓؾͳͷ͸    ͋ͨΓ

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݁Ռ෼ੳͦͷଞ w ࿈ଓͨ͠਺ࣈ  ͱ͔  ͕ೖ͍ͬͯΔͱɺ ౰બ্͕͕ۚΔ܏޲ w ࿈ଓݸ·Ͱ͸ͦ͏͕ͩɺ࿈ଓݸҎ্͸ʁ w Ұͭඈ͹͠  ͱ͔  ΋΄΅ಉ͡ ࿈ଓݸҎ্͸σʔλ͕গͳ͍Өڹ΋͋Γʜɻ

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݁Ռݕূ w NJOJMPUPୈճ w ɹɹɹɹ  ԁ w ݁Ռ༧ଌ஋ʜ w ສԁ w ສԁ ສʙສͷൣғͱ͸༧ଌग़དྷͯΔʜ

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݁Ռ෼ੳ w ༧૝͕౰ͨΔ৔߹΋͋Δ w ͔͠͠࢒೦ͳ͕Βɺ༧૝ਫ਼౓͸௿͍ w BEKVTUFE3ͷ஋͕ˠྑ͍༧ଌͱ͸͍͑ ͳ͍ w આ໌ม਺ͷ௥Ճ͕ඞཁͱࢥΘΕΔ

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·ͱΊ w ๅ͘͡͸ ˞ݱ࣮ੑ͸ͱ΋͔͘ IBDLՄೳ w ˞ͨͩ͠ɺϩτ͘͡ʹݶΔ w ˞ͨͩ͠ɺ౰બۚΛ༧ଌͰ͖Δ৔߹ʹݶΔ w ˞ͨͩ͠ɺଞͷߪೖऀ͕ಉ͡ख๏Λ࢖Θͳ͍৔ ߹ w ˞ͨͩ͠ɺڊֹͷࢿۚΛࣦͬͯ΋ྑ͍৔߹

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ࠓޙͷ՝୊ w ౰બۚ༧ଌਫ਼౓ͷ޲্ w .BDIJOF-FBSOJOHͱ͔ͰͰ͖ͳ͍΋ͷ͔ʜ w ΋ͬͱ౷ܭͷֶश͕ඞཁʜ w ౰બֹۚ༧૝ΞϓϦͱ͔΋࡞ͬͯΈ͍ͨ