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Proceedings Paper

Dynamical correlations in financial systems
Author(s): F. Pozzi; T. Aste; G. Rotundo; T. Di Matteo
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Paper Abstract

One of the main goals in the field of complex systems is the selection and extraction of relevant and meaningful information about the properties of the underlying system from large datasets. In the last years different methods have been proposed for filtering financial data by extracting a structure of interactions from cross-correlation matrices where only few entries are selected by means of criteria borrowed from network theory. We discuss and compare the stability and robustness of two methods: the Minimum Spanning Tree and the Planar Maximally Filtered Graph. We construct such graphs dynamically by considering running windows of the whole dataset. We study their stability and their edges's persistence and we come to the conclusion that the Planar Maximally Filtered Graph offers a richer and more signi.cant structure with respect to the Minimum Spanning Tree, showing also a stronger stability in the long run.

Paper Details

Date Published: 5 January 2008
PDF: 11 pages
Proc. SPIE 6802, Complex Systems II, 68021E (5 January 2008); doi: 10.1117/12.758822
Show Author Affiliations
F. Pozzi, The Australian National Univ. (Australia)
T. Aste, The Australian National Univ. (Australia)
G. Rotundo, Univ. of Roma La Sapienza (Italy)
T. Di Matteo, The Australian National Univ. (Australia)

Published in SPIE Proceedings Vol. 6802:
Complex Systems II
Derek Abbott; Tomaso Aste; Murray Batchelor; Robert Dewar; Tiziana Di Matteo; Tony Guttmann, Editor(s)

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