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Dependency network : ウィキペディア英語版
Dependency network
The dependency network approach provides a new system level analysis of the activity and topology of directed networks. The approach extracts causal topological relations between the network's nodes (when the network structure is analyzed), and provides an important step towards inference of causal activity relations between the network nodes (when analyzing the network activity). This methodology has originally been introduced for the study of financial data,〔Dror Y. Kenett, Michele Tumminello, Asaf Madi, Gitit Gur-Gershgoren, Rosario N. Mantegna, and Eshel Ben-Jacob (2010), Dominating clasp of the financial sector revealed by partial correlation analysis of the stock market, (ONE 5(12), e15032 )〕〔Dror Y. Kenett, Yoash Shapira, Gitit Gur-Gershgoren, and Eshel Ben-Jacob (submitted), Index Cohesive Force analysis of the U.S. stock market, Proceedings of the 2011 International Conference on Econophysics, Kavala, Greece〕 it has been extended and applied to other systems, such as the immune system,〔Asaf Madi, Dror Y. Kenett, Sharron Bransburg-Zabary, Yifat Merbl, Francisco J. Quintana, Stefano Boccaletti, Alfred I. Tauber, Irun R. Cohen, and Eshel Ben-Jacob (2011), Analyses of antigen dependency networks unveil immune system reorganization between birth and adulthood, (Chaos 21, 016109 )〕 and semantic networks.〔Yoed N. Kenett, Dror Y. Kenett, Eshel Ben-Jacob and Miriam Fuast (2011), Charting the Hebrew semantic lexicon: Using association correlations, semantic cliques and dependency networks for global and local system analysis, (PLoS ONE 6(8): e23912 )〕
In the case of network activity, the analysis is based on partial correlations,〔Kunihiro Baba, Ritel Shibata, Masaaki Sibuya (2004), Partial correlation and conditional correlation as measures of conditional independence, (Aust New Zealand J Stat 46(4): 657–774 )〕〔Yoash Shapira, Dror Y. Kenett, and Eshel Ben-Jacob (2009), The Index Cohesive Effect on Stock Market Correlations, (Journal of Physics B. vol. 72, no. 4, pp. 657-669 )〕〔7)

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