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Hausdorff clustering of financial time series
Authors:Nicolas Basalto  Roberto Bellotti  Francesco De Carlo  Paolo Facchi  Ester Pantaleo  Saverio Pascazio
Institution:1. Market Risk Management, Unicredito Italiano, Milano, Italy;2. Dipartimento di Fisica, Università di Bari, Italy;3. Istituto Nazionale di Fisica Nucleare, Sezione di Bari, Italy;4. TIRES, Center of Innovative Technologies for Signal Detection and Processing, Bari, Italy;5. Dipartimento di Matematica, Università di Bari, Italy
Abstract:A clustering procedure is introduced based on the Hausdorff distance as a similarity measure between clusters of elements. The method is applied to the financial time series of the Dow Jones industrial average (DJIA) index to find companies that share a similar behavior. Comparisons are made with other linkage algorithms.
Keywords:Econophysics  Clustering  Hausdorff metric
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