Abstract
In this study we aim at identifying companies influencing the performance of the stock market sector. We propose an approach for constructing the similarity between stock company profiles based on the estimates of the log return similarity of stock prices and on Fuzzy Spectral Modularity community detection method to infer the network hubs and significant communities and we applied it to the Italian stock market store. Experimental results show that companies in the same sector highly affect the price change of each other. Moreover, We notice a robust temporal stability of detected communities, and the short time correlation computed with the fuzzy rand index is strong.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Bezdek, J.C.: Pattern recognition with fuzzy objective function algorithms. Kluwer Academic Publishers, Norwell (1981)
Brandes, U.: A faster algorithm for betweenness centrality. Journal of Mathematical Sociology 25, 163–177 (2001)
Donath, W.E., Hoffman, A.J.: Lower bounds for the partitioning of graphs. IBM Journal of Research and Development 17(5964), 420–425 (1973)
Dunn, J.C.: Some recent investigations of a new fuzzy partitioning algorithm and its application to pattern classification problems, pp. 1–15 (1974)
Filippone, M., Camastra, F., Masulli, F., Rovetta, S.: A survey of kernel and spectral methods for clustering. Pattern Recognition 41, 176–190 (2008) ISSN: 0031–3203
Hüllermeier, E., Rifqi, M.: A Fuzzy Variant of the Rand Index for Comparing Clustering Structures. In: IFSA/EUSFLAT Conf., pp. 1294–1298 (2009)
Koschützki, D., Lehmann, K.A., Peeters, L., Richter, S., Tenfelde-Podehl, D., Zlotowski, O.: Centrality indices. In: Brandes, U., Erlebach, T. (eds.) Network Analysis. LNCS, vol. 3418, pp. 16–61. Springer, Heidelberg (2005)
Lloyd, S.P.: Least square quantization in PCM, Bell Telephone Laboratories. Murray Hill (1957); Reprinted in: IEEE Transactions on Information Theory 28(2), 129–137 (1982)
Mahmoud, H., Masulli, F., Rovetta, S., Russo, G.: Community detection in protein-protein interaction networks using spectral and graph approaches. In: Formenti, E., Tagliaferri, R., Wit, E. (eds.) CIBB 2013. LNCS (LNBI), vol. 8452, pp. 62–75. Springer, Heidelberg (2014)
Newman, M.E.J.: Detecting community structure in networks. The European Physical Journal B-Condensed Matter 38, 321–330 (2004)
Newman, M.E.J., Girvan, M.: Finding and evaluating community structure in networks. Physical Review E 69(2), 026113 (2004)
Ng, J., Jordan, M.I., Weiss, Y.: On spectral clustering: analysis and an algorithm. In: Proceedings of Neural Information Processing Systems, pp. 849–856 (2002)
Onnela, J.P., Kaski, K., Kertész, J.: Clustering and information in correlation based financial networks. The European Physical Journal B-Condensed Matter and Complex Systems 38(2), 353–362 (2004)
Palla, G., Derenyi, I., Farkas, I., Vicsek, T.: Uncovering the overlapping community structure of complex networks in nature and society. Nature 435, 814 (2005)
Resta, M.: On a data mining framework for the identification of frequent pattern trends. In: Perna, C., Sibillo, M. (eds.) Mathematical and Statistical Methods for Actuarial Sciences and Financial Markets, pp. 173–176. Springer International Publishing
Rovetta, S., Masulli, F., Mahmoud, H.: Neighbor-based similarities. In: Masulli, F. (ed.) WILF 2013. LNCS (LNAI), vol. 8256, pp. 161–170. Springer, Heidelberg (2013)
Rovetta, S., Masulli, F.: Visual stability analysis for model selection in graded possibilistic clustering. Information Sciences 279, 37–51 (2014)
Rand, W.M.: Objective criteria for the evaluation of clustering methods. Journal of the American Statistical association 66(336), 846–850 (1971)
Tumminello, M., Coronnello, C., Lillo, F., Micciche, S., Mantegna, R.N.: Spanning trees and bootstrap reliability estimation in correlation-based networks. International Journal of Bifurcation and Chaos 17(07), 2319–2329 (2007)
Von Luxburg, U.: A tutorial on spectral clustering. Statistics and Computing 17, 395–416 (2007)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Mahmoud, H., Masulli, F., Resta, M., Rovetta, S., Abdulatif, A. (2015). Hubs and Communities Identification in Dynamical Financial Networks. In: Bassis, S., Esposito, A., Morabito, F. (eds) Advances in Neural Networks: Computational and Theoretical Issues. Smart Innovation, Systems and Technologies, vol 37. Springer, Cham. https://doi.org/10.1007/978-3-319-18164-6_10
Download citation
DOI: https://doi.org/10.1007/978-3-319-18164-6_10
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-18163-9
Online ISBN: 978-3-319-18164-6
eBook Packages: EngineeringEngineering (R0)