Extracting the correlation structure by means of planar embedding
Date
2006
Authors
Di Matteo, Tiziana
Aste, Tomaso
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SPIE - The International Society for Optical Engineering
Abstract
The hierarchical structure of correlation matrices in complex systems is studied by extracting a significant sub-set of correlations resulting in a planar graph. Such a graph has been generated by a method introduced in Aste et al.1 and it has the same hierarchical structure of the Minimum Spanning Tree but it contains a larger amount of links, loops and cliques. In Tumminello et al.,2 we have shown that this method, applied to a financial portfolio of 100 stocks in the USA equity markets, is pretty efficient in filtering relevant information about the system clustering revaling the hierarchical organization in the whole system and within each cluster. Here we discuss this filtering correlation procedure and its application to different financial data sets.
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Keywords: Financial data processing; Hierarchical systems; Large scale systems; Matrix algebra; Econophysics; Networks; System clustering; Correlation theory Complex systems; Econophysics; Networks
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Proceedings of SPIE Microelectonics, MEMS, and Nanotechnology
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Conference paper
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2037-12-31
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