1 and N m Nm a a>1 a=1 6 1 [27, 2, 30, 3, 12, 11] [19, 18, 9, 8, 23] [35, 3] [30, 2, 12, 16, 25, 17, 11, 31] Yule Simon [34, 29, 24] [8] [25]
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1 1 an N m Nm a a>1 a=1 6 1 [7,, 3, 3, 1, 11] [19, 18, 9, 8, 3] [35, 3] [3,, 1, 16, 5, 17, 11, 31] Yule Simon [34, 9, 4] [8] [5] [14] [13] 6 [33, 3] [1] % [7] [7, 15] [8, ] [4, 1] ) Twitter([6] 7/6/3 1/3/17) mention reply ), 3) 755[31] 15/1/1 15/3/ , inc. group chat wall communication SNS 1
2 4) [31] 14/1/1 15/1/31 5) [] ; 8/9/5 9/6/9 6) SMS; [] ; 8/1/1 9/6/7 Twitter 755 Twitter: %ile 755 : 75%ile i j ij [, 3, 17, 1, 16] [5] Yule Simon [34, 9, 4] [31]. Null i C i N i j=1 ij N i i i N i j=1 ij/n i m i C = N i j=1 ij = N i m i N m Null log N Normal(µ, σ), (1) µ = a log m + b log u, m N m 1: N m Null C = Nm; C = Nm a a =1.19 (A: Twitter), a =1.1 (B: 755 group chat), a =1.56 (C: 755 wall communication), a = 1.1 (D: Ameba Pigg), a =1.7 (E: mobile phone) an a =1.4 (F: SMS) E 5% u 75%ile Twitter 755 SMS t /t 3 C = Nm a a>1 3 u C = u b a =1 Null a>1 Null /t c() =α/t + β α = Null a >1 N
3 4 6 (A) Twitter, 1, 1, (D) Ameba Pigg (B) 755 group chat (E) Mobile phone (C) 755 wall communication (F) SMS : 5%ile %ile 75%ile /t 1, (A) Twitter /t (D) Ameba Pigg /t (B) 755 group chat /t (E) Mobile phone (C) 755 wall communication /t /t (F) SMS 3: /t u 75%ile T t R =.16,T = 998 (Twitter) R =.58,T = 9 8 t 1 (755 group chat) R =.5,T = 1 (755 wall /t communication) R =.164,T = 456 (Ameba Pigg), R =.589,T = 97 (mobile phone) R =.17,T = 543 (SMS) Groomer Groomee 4: α =1.34,β =.4 (A: Twitter), α = 1.7,β =.39 (B: 755 group chat), α = 3.89,β =.3 (C: 755 wall communication), α = 1.6,β =.64 (D: Ameba Pigg), α =.5,β =.31 (E: mobile phone), α =5.5,β =.34 (F: SMS) 1 R c( ij ) R/c( ij ) T R R 3. Groomer i α, β 1 R i Groomee j α> 4 Groomer T ij Groomer i C = Nm a a>1 R R c() α > i a>1 Groomer R > q i Groomee j c() α ij 1 T,R,β Twitter α 1 1 q i a 5A ij Yule Simon 5B C ij 3
4 N 1, m (A) Simulation result instances (C=Nm a ) Frequency 1, 1 alpha 1 3 Power law coefficient alpha 1 (C) Simulation result instances (the istributions of social relationships strengths) alpha (B) The effect of α on the power law coefficients of the istributions of social relationships strengths 5: α C = Nm a α c() α 4 N m [8, ] C = Nm a a>1 a >1 [19, 18] [9] 1 3 Twitter [1, 6] [5] Facebook Facebook [5] [19, 18] [9] SNS [1] Valerio Arnaboli, Marco Conti, Anrea Passarella, an Robin I.M. Dunbar. Dynamics of personal social relationships in online social networks: a stuy on Twitter. In Proceeings of the first ACM conference on Online social networks - COSN 13, pp. 15 6, New York, New York, USA, oct 13. ACM Press. [] Valerio Arnaboli, Marco Conti, Anrea Passarella, an Fabio Pezzoni. Analysis of Ego Network Structure in Online Social Networks. 1 International Conference on Priacy, Security, Risk an Trust an 1 International Confernece on Social Computing, pp IEEE, sep 1. [3] Valerio Arnaboli, Marco Conti, Anrea Passarella, an Fabio Pezzoni. Ego networks in Twitter: An experimental analysis. In 13 Proceeings IEEE INFOCOM, pp IEEE, apr 13. [4] Stephanie L. Brown an R. Michael Brown. TAR- GET ARTICLE: Selectie Inestment Theory: In 4
5 Recasting the Functional Significance of Close Relationships. Psychological Inquiry, Vol. 17, No. 1, pp. 1 9, jan 6. [5] Moira Burke an Robert E. Kraut. Growing closer on facebook: changes in tie strength through social network site use. In Proceeings of the 3n annual ACM conference on Human factors in computing systems - CHI 14, pp , New York, New York, USA, apr 14. ACM Press. [6] Zhiyuan Cheng, James Caerlee, an Kyumin Lee. You are where you tweet: a content-base approach to geo-locating twitter users. In Proceeings of the 19th ACM international conference on Information an knowlege management - CIKM 1, p. 759, New York, New York, USA, oct 1. ACM Press. [7] Robin I.M. Dunbar. Theory of min an the eolution of language. In Approaches to the Eolution of Language: Social an Cognitie Bases, chapter 6, pp Cambrige Uniersity Press, [8] Robin I.M. Dunbar. On the origin of the human min. In P Carruthers an A Chamberlain, eitors, Eolution an the Human Min, pp Cambrige Uniersity Press,. [9] Robin I.M. Dunbar. Gossip in Eolutionary Perspectie. Reiew of General Psychology, Vol. 8, No., pp. 11, 4. [1] Robin I.M. Dunbar. Social cognition on the Internet: testing constraints on social network size. Philosophical transactions of the Royal Society of Lonon. Series B, Biological sciences, Vol. 367, No. 1599, pp. 19 1, aug 1. [11] Robin I.M. Dunbar. Do online social meia cut through the constraints that limit the size of offline social networks? Royal Society Open Science, Vol. 3, No. 1, p. 9, jan 16. [1] Akihiro Fujihara an Hiroyoshi Miwa. Homesick Léy Walk: A Mobility Moel Haing Ichi-Go Ichi-e an Scale-Free Properties of Human Encounters. In 14 IEEE 38th Annual Computer Software an Applications Conference, pp IEEE, jul 14. [13] Marco Haan, Peter Kooreman, an Tineke Riemersma. Frienship in a Public Goo Experiment. 6. [14] Freya Harrison, James Sciberras, an Richar James. Strength of social tie preicts cooperatie inestment in a human social network. PLoS ONE, Vol. 6, No. 3, p. e18338, jan 11. [15] R A Hill an Robin I.M. Dunbar. Social network size in humans. Human nature, Vol. 14, No. 1, pp. 53 7, mar 3. [16] Theus Hossmann, Thrasyoulos Spyropoulos, an Franck Legenre. A complex network analysis of human mobility. In 11 IEEE Conference on Computer Communications Workshops (INFOCOM WKSHPS), pp IEEE, apr 11. [17] Tong Hu, Bern-Luwig Wenning, Carmelita Görg, Umar Toseef, an Zhongwen Guo. Statistical Analysis of Contact Patterns between Human- Carrie Mobile Deices. In 4th International Conference on Mobile Networks an Management MONAMI 1, Vol. 58 of Lecture Notes of the Institute for Computer Sciences, Social Informatics an Telecommunications Engineering, pp , Berlin, Heielberg, 1. Springer Berlin Heielberg. [18] Hiromi Kobayashi an Kazuhie Hashiya. The gaze that grooms: contribution of social factors to the eolution of primate eye morphology. Eolution an Human Behaior, Vol. 3, No. 3, pp , may 11. [19] Hiromi Kobayashi an Shiro Kohshima. Unique Morphology of the Human Eye. Nature, Vol. 387, No. 6635, pp , jun [] Anmol Maan, Manuel Cebrian, Sai Moturu, Katayoun Farrahi, an Alex Sany Pentlan. Sensing the Health State of a Community. IEEE Perasie Computing, Vol. 11, No. 4, pp , oct 1. [1] Gioanna Miritello, Rubén Lara, Manuel Cebrian, an Esteban Moro. Limite communication capacity uneils strategies for human interaction. Scientific Reports, Vol. 3, p. 19, jun 13. 5
6 [] Gioanna Miritello, Esteban Moro, Rubén Lara, Rocío Martínez-López, John Belchamber, Sam G.B. Roberts, an Robin I.M. Dunbar. Time as a limite resource: Communication strategy in mobile phone networks. Social Networks, Vol. 35, No. 1, pp , jan 13. [3] Michio Nakamura. Gatherings of social grooming among wil chimpanzees: implications for eolution of sociality. Journal of Human Eolution, Vol. 44, No. 1, pp , jan 3. [4] M. E. J. Newman. Power laws, Pareto istributions an Zipf s law. Contemporary Physics, Vol. 46, pp , 5. [5] Thorsten Pachur, Lael J. Schooler, an Jeffrey R. Steens. When Will We Meet Again? Regularities of Social Connectiity an Their Reflections in Memory an Decision Making. In Simple Heuristics in a Social Worl, pp Oxfor Uniersity Press, no 1. [6] Daniel Preoiuc-Pietro, Sitlana Volkoa, Vasileios Lampos, Yoram Bachrach, an Nikolaos Aletras. Stuying User Income through Language, Behaiour an Affect in Social Meia. PLoS ONE, Vol. 1, No. 9, p. e138717, jan 15. [31] Masanori Takano an Ichiro Fukua. Limitations of Time Resources in Human Relationships Determine Social Structures. Palgrae Communications, may 17. [3] Masanori Takano, Kazuya Waa, an Ichiro Fukua. Lightweight Interactions for Reciprocal Cooperation in a Social Network Game. In Proceeings of The 8th International Conference on Social Informatics (SocInfo), pp , 16. [33] Masanori Takano, Kazuya Waa, an Ichiro Fukua. Reciprocal Altruism-base Cooperation in a Social Network Game. New Generation Computing, Vol. 34, No. 3, pp , 16. [34] G. U. Yule. A Mathematical Theory of Eolution, Base on the Conclusions of Dr. J. C. Willis, F.R.S. Philosophical Transactions of the Royal Society B: Biological Sciences, Vol. 13, No. 4-41, pp. 1 87, jan 195. [35] W-X. Zhou, D. Sornette, R. A. Hill, an Robin I.M. Dunbar. Discrete hierarchical organization of social group sizes. Proceeings of the Royal Society B: Biological Sciences, Vol. 7, No. 1561, pp , feb 5. [7] Sam G. B Roberts an Robin I.M. Dunbar. Communication in social networks: Effects of kinship, network size, an emotional closeness. Personal Relationships, Vol. 18, No. 3, pp , sep 11. [8] Sam G.B. Roberts, Robin I.M. Dunbar, Thomas V. Pollet, an Toon Kuppens. Exploring ariation in actie network size: Constraints an ego characteristics. Social Networks, Vol. 31, No., pp , may 9. [9] Herbert A. Simon. On a class of skew istribution functions. Biometrika, Vol. 4, No. 3-4, pp , ec [3] Chaoming Song, Dashun Wang, an Albert-Laszlo Barabasi. Connections between Human Dynamics an Network Science. sep 1. 6
7 1: N m Communication System Variable Size min.5%ile 5%ile %ile 75%ile 97.5%ile max Twitter N, m, , , ,1 755 Group chat N 17, m 17, , , ,7 31, Wall communication N, ,37 m, , ,7, ,565 Ameba Pigg N 156, m 156, ,911, ,989, ,89 4,588 87,81 Mobile phone N m , , ,61 38,31 SMS N m , , : a t p a>1 b t p b.99 (Twitter),.974 (755 group chat),.959 (755 wall communication),.997 (Ameba Pigg),.994 (mobile phone),.99 (SMS) Communication System Coefficient Estimate Stanar Error t-alue p-alue Twitter a b Less than Group chat a Less than b Less than Wall communication a Less than b Less than Ameba Pigg a Less than b Less than Mobile phone a b Less than SMS a b Less than
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ソーシャルビッグデータで理解する ヒトと社会の性質 Dynamics of Human Behavior and Societies based on Social Big Data 高野雅典 Masanori TAKANO アブストラクト ソーシャルビッグデータはヒトや社会について分析し理解するための強力なツールである ソーシャルビッグ データ登場以前には観測が難しかった大量のヒトの詳細な社会的行動を分析できるからである
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早稲田大学現代政治経済研究所 ダブルトラック オークションの実験研究 宇都伸之早稲田大学上條良夫高知工科大学船木由喜彦早稲田大学 No.J1401 Working Paper Series Institute for Research in Contemporary Political and Ec
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