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Independent Component Analysis Via Copula Techniques

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Author Info
Ray-Bing Chen
Meihui Guo
Wolfgang Härdle
Shih-Feng Huang

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Abstract

Independent component analysis (ICA) is a modern factor analysis tool de- veloped in the last two decades. Given p-dimensional data, we search for that linear combination of data which creates (almost) independent components. Here copulae are used to model the p-dimensional data and then independent components are found by optimizing the copula parameters. Based on this idea, we propose the COPICA method for searching independent components. We illustrate this method using several blind source separation examples, which are mathematically equivalent to ICA problems. Finally performances of our method and FastICA are compared to explore the advantages of this method.

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Publisher Info
Paper provided by Sonderforschungsbereich 649, Humboldt University, Berlin, Germany in its series SFB 649 Discussion Papers with number SFB649DP2008-004.

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Length: 24 pages
Date of creation: Jan 2008
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Handle: RePEc:hum:wpaper:sfb649dp2008-004

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Related research
Keywords: Blind source separation; Canonical maximum likelihood method; Givens rotation matrix; Signal/noise ratio; Simulated annealing algorithm;

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Find related papers by JEL classification:
C01 - Mathematical and Quantitative Methods - - General - - - Econometrics
C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Estimation
C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Semiparametric and Nonparametric Methods
C63 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Computational Techniques

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  1. Dirk Engelmann & Dorothea Kübler, 2008. "Do Legal Standards Affect Ethical Concerns of Consumers?," SFB 649 Discussion Papers SFB649DP2008-008, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany. [Downloadable!]
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  2. Anton Andriyashin & Wolfgang Härdle & Roman Timofeev, 2008. "Recursive Portfolio Selection with Decision Trees," SFB 649 Discussion Papers SFB649DP2008-009, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany. [Downloadable!]
  3. Anton Andriyashin, 2008. "Stock Picking via Nonsymmetrically Pruned Binary Decision Trees," SFB 649 Discussion Papers SFB649DP2008-035, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany. [Downloadable!]
  4. Nikolaus Hautsch & Dieter Hess & Christoph Müller, 2008. "Price Adjustment to News with Uncertain Precision," SFB 649 Discussion Papers SFB649DP2008-025, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany. [Downloadable!]
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  5. Viktor Winschel & Markus Krätzig, 2008. "JBendge: An Object-Oriented System for Solving, Estimating and Selecting Nonlinear Dynamic Models," SFB 649 Discussion Papers SFB649DP2008-034, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany. [Downloadable!]
  6. Enzo Giacomini & Wolfgang Härdle & Volker Krätschmer, 2008. "Dynamic Semiparametric Factor Models in Risk Neutral Density Estimation," SFB 649 Discussion Papers SFB649DP2008-038, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany. [Downloadable!]
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