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ストリートスナップデータに 統計的ネットワーク分析の適用を試みた
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saltcooky
May 25, 2019
Science
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ストリートスナップデータに 統計的ネットワーク分析の適用を試みた
TokyoR #78 LT
saltcooky
May 25, 2019
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Transcript
ετϦʔτεφοϓσʔλʹ ౷ܭతωοτϫʔΫੳͷద༻ΛࢼΈͨ 5PLZP3 !TBMUDPPLZ
୭ʁ • !TBMUDPPLZ • 3ྺɿ͙Β͍͔ͳ • ۈઌɿݪ॓ʹ͋Δ*5ܥͷձࣾ • ࣄ༰ɿ3%తͳ෦ॺͰ3Λͬͨ ɾσʔλੳ
ׂ ɾػցֶश ׂ ɾલॲཧ ׂ • झຯɿϑΝογϣϯඒज़ؗ८Γ
ωοτϫʔΫੳͱ ਓؒؔɺاۀؒͷؔɺੜؒͷؔɺίϯϐϡʔλωοτϫʔΫ ͳͲͷؔߏΛੳ͢ΔάϥϑཧΛϕʔεͱͨ͠ੳख๏ (ग़య : https://www.slideshare.net/kashitan/tidygraphggraph) (https://www.amazon.co.jp/exec/obidos/ASIN/4320019288) ͜ΕͰษڧ͠·ͨ͠ ࠷ۙͷTokyoRͩͱ @kashitan
͞Μ͕ ൃදͨ͠Γͯͨ͠
ωοτϫʔΫੳ Α͋͘ΔͷωοτϫʔΫͷࢦඪͷࢉग़ߏͷநग़ - த৺ੑ ͲͷΑ͏ͳਓ͕த৺తͳਓ͔ - ίϛϡχςΟநग़ ͲͷΑ͏ͳάϧʔϓʹ͔Ε͍ͯΔ͔ - ૬ؔ
̎ͭͷωοτϫʔΫࣅ͍ͯΔ͔Ͳ͏͔ - ίΞநग़ ωοτϫʔΫͷີʹ݁߹ͨ͠த৺෦
ωοτϫʔΫͷ͋Δ̎ͷؒ J K ͷลɺ֬QJKͰ֬తʹൃੜ͢Δͱߟ͑Δ QJKύϥϝʔλВΛ࣋ͭϩδεςΟοΫϞσϧͰදݱͰ͖Δ J KͱK Lʹล͕ுΔ֬QJKºQKLͱදݱͰ͖Δ ౷ܭతωοτϫʔΫੳ K
L J
ࢦϥϯμϜάϥϑϞσϧ FYQPOFOUJBMSBOEPNHSBQINPEFM ɹϥϯμϜάϥϑ:ʹ͓͍ͯಛఆͷάϥϑߏZ͕ಘΒΕΔ֤֬ล͕ுΔ֬ͷ ྦྷͰදݱͰ͖Δͱߟ͑ͨϞσϧ ౷ܭతωοτϫʔΫੳ yʹ͋Δลͷ ύϥϝʔλ ن֨Խఆ ωοτϫʔΫશମ
ͷลͷൃੜ֬
ࢦϥϯμϜάϥϑϞσϧɹQ Ϟσϧ ɹϥϯμϜάϥϑ:ͷลͷൃੜ༷֬ʑͳཁૉʹΑΓ֬తʹܾ·ΔϞσϧ ౷ܭతωοτϫʔΫੳ ཁૉ ϊʔυͷಛྔɿྸɺॏΈɺ෦ॺʜ ลͷಛྔɿަࡍظؒɺΈʜ ϊʔυؒͷؔͷಛɿྸࠩɺۈଓظؒࠩʜ ߏతͳಛྔɿLελʔߏͷʜ ωοτϫʔΫͷߏཁ
ཁૉͷ
ద༻σʔλ
ద༻σʔλ ྸ ৬ۀ ࡱӨॴ ண༻ϒϥϯυ
Ϟνϕʔγϣϯ ลண༻ϒϥϯυͷ ڞ௨ ϒϥϯυͷબͷੑ࣭Λ දݱͰ͖ͳ͍͔ (͔ͳΓແཧཧ)
σʔλऔಘ • ($1্Ͱ%PDLFSΛ༻͍ͯ3TUVEJP 34FMFOJVNڥΛ࡞ • SWFTUQBDLBHFΛར༻ͯ͠εΫϨΠϐϯά • ϙΞιϯʹै͏ִؒͰϖʔδऔಘ ͳΜͱͳ͘
• ҰਓͷεφοϓσʔλΛऔಘ
σʔλ֬ೝ ண༻ϒϥϯυϥϯΩϯά ண༻ϒϥϯυωοτϫʔΫ
Ϟσϧ࡞(ྫ) ࢦϥϯμϜϞσϧTUBUOFUQBDLBHFͰ࣮͕Ͱ͖·͢ɻ # ωοτϫʔΫΦϒδΣΫτͷ࡞ network <- as.network(x = graph_matrix, directed
= FALSE, loops = FALSE) # ֤Τοδʹઆ໌ม(ྸ)ΛՃ network %v% "Age" <- Age # ֤ΤοδͷྸͷࠩΛܭࢉ diff.age <- abs(sweep(matrix(snap_info$Age, nrow = 638, ncol = 638), 2, snap_info$Age)) # Ϟσϧ࡞ model <- ergm( network ~ edges + edgecov(diff.age) + nodecov(“Age”) )
Ϟσϧ࡞ ࢦϥϯμϜϞσϧTUBUOFUQBDLBHFͰ࣮͕Ͱ͖·͢ɻ # ετϦʔτεφοϓͷp*Ϟσϧੜ snap_net_model <- ergm(snap_net ~ edges
+ # ลͷ nodecov(“Age")+ # ྸࠩ edgecov(diff.age) + # ྸ nodematch(“Occupation”) + # ৬ۀ nodematch("Point") ) # ࡱӨॴ
݁ՌΛݟͯΈΔ > summary(snap_net_model) < ུ > Monte Carlo MLE Results:
Estimate Std. Error MCMC % z value Pr(>|z|) edges -5.2066393 0.2692526 0 -19.337 <1e-04 *** edgecov.diff.age -0.0015763 0.0094767 0 -0.166 0.8679 nodecov.Age -0.0003136 0.0061215 0 -0.051 0.9591 nodematch.Occupation -0.0453192 0.0842853 0 -0.538 0.5908 nodematch.Point 0.1491330 0.0628610 0 2.372 0.0177 * < ུ > AIC: 13485 BIC: 13536 (Smaller is better.) ࡱӨॴ͕ลͷൃੜʹ Өڹ͍ͯͦ͠͏ AIC/BICͰมબՄೳ
݁ՌΛݟͯΈΔ ϞσϧΛ༻͍ͯγϛϡϨʔγϣϯ ࣮ઢɿγϛϡϨʔγϣϯʹΑΔ ശͻ͛ਤɿ࣮σʔλͷ ͯ·Γྑ͘ͳ͍ʜ
·ͱΊ • ࠓճͷεφοϓใͰɺண༻ϒϥϯυͷؔੑΛࢦϥϯμϜ άϥϑϞσϧͰ͏·͘දݱͰ͖·ͤΜͰͨ͠ • ౷ܭతωοτϫʔΫੳ݁ߏ໘ന͍ͷͰɺษڧͯ͠ΈͯͶ • ࢲ౷ܭతωοτϫʔΫੳͷษڧଓ͚͍͖͍ͯͨͱࢥ͍·͢ • ͳͷͰɺৄ͍͠ํ͝ڭतئ͍͠·͢
• ڞཱग़൛ʮωοτϫʔΫੳୈ̎൛ʯླஶ IUUQTXXXBNB[PODPKQFYFDPCJEPT"4*/ • \UJEZHSBQI^ͱ\HHSBQI^ʹΑΔϞμϯͳωοτϫʔΫੳ IUUQTXXXTMJEFTIBSFOFULBTIJUBOUJEZHSBQIHHSBQI • 3ʹΑΔωοτϫʔΫੳΛ·ͱΊ·ͨ͠ωοτϫʔΫͷࢦඪฤ IUUQTRJJUBDPNTBMUDPPLZJUFNTFEDFEGCDE •
3ʹΑΔωοτϫʔΫੳΛ·ͱΊ·ͨ͠౷ܭతωοτϫʔΫੳฤ IUUQTRJJUBDPNTBMUDPPLZJUFNTCBFGDFCGBDFBDCGD ࢀߟ