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1 ( )

2 MixVis MixVis ( ) MixVis MixVis MixVis

3 (SNA) SNA Linking & Brushing i

4 MixVis: SNA ii

5 Linking & Brushing MixVis iii

6 t iv

7 1 1.1 ( ) G = (V, E) V E web2.0 SNS mixi (mixi.inc. ) MySpace SNS 1.2 (SNA) (Centrality) (Shortest Path)

8 [26] [14] N N ( )v w ( ) v w v w w v (v, w) (w, v) (v, w) (w, v) [23, 38, 5] (visual images) [16] A, B, C, D, E, F G, H, I, J, K C G 2

9 1.1: A B C D E F G H I J K A B C D E F G H I J K :

10

11 2 SNA 2.1 Freeman [8] For the most part, they (SNA) seek to uncover two kinds of patterns: (1) those that reveal subsets of actors that are organized into cohesive social groups, and (2) those that reveal subsets of actors that occupy equivalent social positions, or roles. Scott Wasserman [34, 35] SNA (centrality) ( ) centrality (Degree Centrality) 5

12 1.1, A 5 (Betweenness Centrality) A B C D E F 1 G H I J K C G C G SNA (relational data) mixi [40] Henry NodeTrix InfoVis cross pattern block pattern 2.2 SNA 6

13 [21, 1] 7

14 3 Linking & Brushing SNA 8

15 tagcloud) ( 3.1 ) flickr : ( ) Newman[28] [31, 20] [22] 1 9

16 [18] 4 3.2:

17 3.3: SocialAction[31, 33, 32] 3.3 Linking & Brushing Linking & Brushing 1 Linking Brushing Linking Brushing Linking & Brushing Linking & Brushing Linking & Brushing 11

18 3.4: Linking & Brushing Linking & Brushing Linking & Brushing 3.4 Linking & Brushing 12

19 node-link a b c 4.1: [37, 36, 30, 13] ( 4.2a,b ) 13

20 [18] 4.2c 4.2: 4.3 [36] 4.3: 4.2 G G c = (V, F ) G a = (V, A) V, F A 14

21 G =(V, F, A), V ={v 1, v 2, v 3,, v n } F {(m, n) m, n V, m n} A {{u, v} u, v V, u v} (directed) 4.3 i ii iii 15

22 4.4 [11] F A E G =(V, E) (4.1) E =A {{u, v} (u, v) F } (4.2) G f s = C s (l d) 1 d (4.3) d l C s 4.4 C r 1 d d L 0 f r = (4.4) 0 d > L 0 C r L

23 4.1: cluster leaf cluster l 1 l 2 sister otherwise leaf l 2 l 3 l 4 4.2: leaf cluster cluster l 5 l (l 1, l 2, l 6 ) > (l 4, l 5 ) > l 3 (4.5) d d L N L 4.4: 17

24 f r : Graham Scan[19] ( ) 18

25 ( ) 19

26 第 5 章 MixVis:ソーシャルネットワーク分析の ためのツール 本章では 提案手法を元に開発した ソーシャルネットワーク分析のためのツール MixVis について述べる まず MixVis の概要の説明を行う その後 インタフェースの設計につい て詳しく述べる 最後に本ツールを実現するためのシステム構成を紹介する 5.1 インタフェースの概要 図 5.1: ツールの概観 提案手法に基づいて ソーシャルネットワーク分析のための視覚的ツール MixVis を開発し た 図 5.1 のように MixVis は主に3つのビューで構成される ソーシャルネットワークに関 20

27 5.2 MixVis Brandes [7] ( 5.2 ) 5.3 Drag & Drop 21

28 5.2: 5.3: Reset Shake Stop Default 22

29 5.2.2 Sort by alphabet Sort by Degree Centrality Sort by Betweenness Centrality ( 5.4 ) 5.4: : Ctrl+Click Shift+Click HSV 23

30 :

31 図 5.7: ネットワーク図から各ビューへの連携 図 5.8 は ひとつのタグをクリックした後の MixVis のスナップショットである 分 析者が特定のアクター たとえば 名前が 筑波太郎 や次数中心性上位3人や媒介中 心性最も低いアクターなど に興味を持ち そのアクターがどのようなアクターにつな がっているか どのようなコミュニティに属しているかを調べるときに この図のよう に MixVis は分析者の作業を支援する リストから各ビューの連携 リストのアイテムが選択されると そのコミュニティのメンバーを囲む領域がアイ テムと同じ色でハイライトされる メンバーを表すタグもその色でハイライトされる 複数のコミュニティに属しているアクターのタグは それらのコミュニティを混ぜ合わ せた色で表示される 図 5.9 は2つのコミュニティを選択した後の各ビューの様子を示 している リストでは 選択した2つのコミュニティの背景色が茶色と赤色となった ネット ワーク図で対応したコミュニティが 同じ色で透過性のある領域で描かれた ここで 複合グラフの描画手法におけるコミュニティの描画によって コミュニティのメンバー がその領域に囲まれ 共有されるメンバーが領域のインタセクションに配置される そ して コミュニティに入っていないアクターは できるだけ領域から取り除かれるよう 25

32 5.8: MixVis Java TM Platform, Standard Edition 6 Development Kit 1 MixVis Java TM Applet GraphML GraphML XML [6]

33 図 5.9: リストからの各ビューの連携 5.4 システム構成 図 5.10 は MixVis のシステム構成を示す アクター つながり そしてとコミュニティの情報はリレーショナルデータベースに保存さ れている そのデータベースから 描画するデータを抽出して GraphML のフォーマットで 編成する システムは パーサーを用いて GraphML データを解析する その結果から ノー ド エッジ そしてクラスタを取得して処理する ノードはタグにされ タグクラウドとして表現される エッジを含むネットワーク全体は 複合グラフ描画手法を用いて描かれる クラスタはさらにリストで提示される 27

34 5.10: MixVis 28

35 6 MixVis SNS 6.1 (SNS) SNS SNS GraphML 150 [10]

36 ( ) Freeman MixVis : 30

37 7 7.1 SNA 7.2 ToolA ToolB ToolA ToolB ToolA: MixVis ( ) ToolA SNA ToolB: ToolB MixVis ToolB 31

38 ToolA ToolB MixVis ToolC ToolA ToolB ToolC ToolA ToolB ToolC(MixVis) 7 1: 3 2:

39 3: 4: 5: 6 : 7: (1 5 ) MixVis 2 33

40 点数の平均値 ToolA ToolB MixVis タスク 7.1: 7.1: t ToolA MixVis t ToolB MixVis t t t t 5% t 2.26 ( 9) ToolB MixVis ToolA 2 ToolB, 3 MixVis 6 ToolB MixVis 5 7 MixVis t 34

41 2 ToolA ToolB 7.2 ToolA ToolB MixVis 7.2: MixVis 35

42 8 8.1 SNA UCINET[5] Pajek[9] UCINET Pajek[3] Pajek StOCNET[4] 6 StOCNET06 node-link NetDraw UCINET Pajek StOCNET Pajek Heer Vizter[20] friendster 1 tribe 2 orkut 3 SNS Vizster PivotGraph ( ) [39]

43 PivotGraph Henry Node-link MatrixExplorer [21] Node-link NodeTrix, Node-link [22] Node-link NddeTrix SocialAction Perer [31, 33, 32] SocialAction node-link node-link NetLens[24] NetLens TreePlus[25] TreePlus 8.2 Misue & Sugiyama[27, 37] Omote & Sugiyama[29, 30] Intersecting Compound Mixed Graph(ICMG) Frishman [17] Eades [12] orthogonal-grid rectangular cluster drawings (Planar drawings) Feng[15] 37

44 Balzer [2] 2D 3D levelof-detail 38

45 9 9.1 MixVis MixVis MixVis 9.2 MixVis ( ) MixVis 3 39

46 (IPLAB) 40

47 [1] Eytan Adar. Guess: a language and interface for graph exploration. In CHI 06: Proceedings of the SIGCHI conference on Human Factors in computing systems, pp , New York, NY, USA, ACM. [2] M. Balzer and O. Deussen. Level-of-detail visualization of clustered graph layouts. In Asia- Pacific Symposium on Visualisation 2007, [3] Vladimir Batagelj and Andrej Mrvar. Pajek - program for large network analysis. Connections, Vol. 21, pp , [4] Peter Boer, Mark Huisman, Tom A.B. Snijders, Christian E. G. Steglich, Lotte H.Y. Wichers, and Evelien P.H. Zeggelink. Stocnet: An open software system for the advanced statistical analysis of social networks, version 1.7. Groningen:ICS/Science Plus, [5] S. P. Borgatti, M. G. Everett, and L. C. Freeman. Unicet for windows: Software for social network analysis. Analytic Technologies, Inc., [6] U. Brandes and C. Pich. GraphML Transformation. GD, pp , [7] Ulrik Brandes. A faster algorithm for betweenness centrality. Journal of Mathematical Sociology, Vol. 25, pp , [8] P.J. Carrington, J. Scott, and S. Wasserman. Models and Methods in Social Network Analysis. Cambridge University Press, [9] Wouter de Nooy, Andrej Mrvar, and Vladimir Batagelj. Exploratory Social Network Analysis with Pajek (Structural Analysis in the Social Sciences). Cambridge University Press, January [10] Robin Dunbar. Grooming, Gossip, and the Evolution of Language. Harvard Univ Pr, [11] Peter Eades. A heuristic for graph drawing. Congressus Numerantium, Vol. 41, pp , [12] Peter Eades and Qing-Wen Feng. Drawing clustered graphs on an orthogonal grid. In Graph Drawing, pp ,

48 [13] Peter Eades, Qing-Wen Feng, and Xuemin Lin. Straight-line drawing algorithms for hierarchical graphs and clustered graphs. In GD 96: Proceedings of the Symposium on Graph Drawing, pp , London, UK, Springer-Verlag. [14] K. Ehrlich and I. Carboni. Inside social network analysis. Technical report, IBM Watson Research Center, [15] Qingwen Feng. Algorithms for Drawing Clustered Graphs. PhD thesis, [16] Linton C. Freeman. Visualizing social networks. Journal of Social Structure, Vol. 1, pp , [17] Yaniv Frishman and Ayellet Tal. Dynamic drawing of clustered graphs. In IEEE Symposium on Information Visualization (INFOVIS 04), pp , [18] Jie Gao, Kazuo Misue, and Jiro Tanaka. Drawings of compound graph using free-form curves. In Proceedings of the 70th National Convention of IPSJ, [19] Ronald Graham. An efficient algorithm for determining the convex hull of a finite planar set. Information Processing Letters, Vol. 1, pp , [20] Jeffrey Heer and Danah Boyd. Vizster: Visualizing online social networks. In INFOVIS 05: Proceedings of the Proceedings of the 2005 IEEE Symposium on Information Visualization, Washington, DC, USA, IEEE Computer Society. [21] Nathalie Henry and Jean-Daniel Fekete. Matrixexplorer: a dual-representation system to explore social networks. IEEE TRANSACTIONS ON VISUALIZATION AND COMPUTER GRAPHICS, Vol. 12, No. 5, pp , [22] Nathalie Henry, Jean-Daniel Fekete, and Michael J. McGuffin. Nodetrix: A hybrid visualization of social networks. IEEE TRANSACTIONS ON VISUALIZATION AND COMPUTER GRAPHICS, Vol. 13, No. 6, pp , [23] Paul W. Holland and Samuel Leinhardt. An exponential family of probability distributions for directed graphs. Journal of the American Statistical Association, Vol. 76, No. 373, pp , [24] Hyunmo Kang, Catherine Plaisant, Bongshin Lee, and Benjamin B. Bederson. Netlens: Iterative exploration of content-actor network data. Technical report, October [25] Bongshin Lee, C. S. Parr, C. Plaisant, B. B. Bederson, V. D. Veksler, W. D. Gray, and C. Kotfila. Treeplus: Interactive exploration of networks with enhanced tree layouts. Transactions on Visualization and Computer Graphics, Vol. 12, No. 6, pp ,

49 [26] Stanley Milgram. The small world problem. Psychology Today, Vol. 2, pp , [27] Kazuo Misue and Kozo Sugiyama. On automatic drawing of compound graphs for computer aided diagrammatical thinking. Transactions of Information Processing Society of Japan, Vol. 30, No. 10, pp , [28] M. E. J. Newman. Fast algorithm for detecting community structure in networks. Physical Review E (Statistical, Nonlinear, and Soft Matter Physics), Vol. 69, No. 6, [29] Hiroki Omote and Kozo Sugiyama. Method for drawing intersecting clustered graphs and its application to web ontology language. In Asia-Pacific Symposium on Information Visualization 2006 (APVIS2006), pp , [30] Hiroki Omote and Kozo Sugiyama. Development of drawing method for kj-diagram. In The 4th Comference on the Support Systems for Knowledge Creation, 2007, pp , [31] Adam Perer and Ben Shneiderman. Balancing systematic and flexible exploration of social networks. IEEE Transactions on Visualization and Computer Graphics, Vol. 12, No. 5, pp , Student Member-Adam Perer and Senior Member-Ben Shneiderman. [32] Adam Perer and Ben Shneiderman. Integrating statistics and visualization: case studies of gaining clarity during exploratory data analysis. In CHI 08: Proceeding of the twenty-sixth annual SIGCHI conference on Human factors in computing systems, pp , New York, NY, USA, ACM. [33] Adam Perer and Ben Shneiderman. Systematic yet flexible discovery: guiding domain experts through exploratory data analysis. In IUI 08: Proceedings of the 13th international conference on Intelligent user interfaces, pp , New York, NY, USA, ACM. [34] John Scott. Social Network Analysis: A Handbook. Sage Pubns Ltd, [35] Katherine Faust Stanley Wasserman. Social Network Analysis. Cambridge University Press, [36] Kozo Sugiyama. Graph Drawing and Applications for Software and Knowledge Engineers. World Scientific Publishing Co.Pte.Ltd, [37] Kozo Sugiyama and Kazuo Misue. Visualization of structural information: Automatic drawing of compound digraphs. IEEE Transaction on systems, man, and cybernetics, Vol. 21, No. 4, pp , [38] Stanley Wasserman and Philippa Pattison. Logit models and logistic regressions for social networks: I. an introduction to markov graphs andp. Psychometrika, Vol. 61, No. 3, pp ,

50 [39] Martin Wattenberg. Visual exploration of multivariate graphs. In CHI 06: Proceedings of the SIGCHI conference on Human Factors in computing systems, pp , New York, NY, USA, ACM. [40],. SNS mixi., Vol. 22, No. 5,

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