Musmeci, N; Aste, T; Matteo, TD; (2014) Clustering and hierarchy of financial markets data: advantages of the DBHT. Cornell University Library: Ithaca, NY, USA.

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Abstract

We present a set of analyses aiming at quantifying the amount of information filtered by di↵erent hierarchical clustering methods on correlations between stock returns. In particular we apply, for the first time to financial data, a novel hierarchical clustering approach, the Directed Bubble Hierarchical Tree (DBHT), and we compare it with other methods including the Linkage and k-medoids. In particular by taking the industrial sector classification of stocks as a benchmark partition we evaluate how the di↵erent methods retrieve this classification. The results show that the Directed Bubble Hierarchical Tree outperforms the other methods, being able to retrieve more information with fewer clusters. Moreover, we show that the economic information is hidden at di↵erent levels of the hierarchical structures depending on the clustering method. The dynamical analysis also reveals that the di↵erent methods show di↵erent degrees of sensitivity to financial events, like crises. These results can be of interest for all the applications of clustering methods to portfolio optimization and risk hedging.

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