Multiplicative ICA algorithm for interaction analysis in financial markets

  • Authors:
  • Ryszard Szupiluk;Piotr Wojewnik;Tomasz Ząbkowski

  • Affiliations:
  • Polska Telefonia Cyfrowa Ltd., Warsaw, Poland and Warsaw School of Economics, Warsaw, Poland;Polska Telefonia Cyfrowa Ltd., Warsaw, Poland and Warsaw School of Economics, Warsaw, Poland;Polska Telefonia Cyfrowa Ltd., Warsaw, Poland and Warsaw University of Life Sciences, Warsaw, Poland

  • Venue:
  • ICAISC'12 Proceedings of the 11th international conference on Artificial Intelligence and Soft Computing - Volume Part II
  • Year:
  • 2012

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Abstract

In this article we present a new method for the analysis of dependencies in case of multivariate time series. In this approach, we assume that the set of time series representing the various financial instruments creates a multidimensional variable. Such a multidimensional variable is decomposed into independent components which enable to analyze the morphology of given financial instruments and to identify the hidden interdependencies. We propose a new multiplicative version of the Natural Gradient ICA algorithm that could be used in automated trading systems or modeling environments. The presented method is tested on real stock markets data.