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Sparse Non Gaussian Component Analysis by Semidefinite Programming

Author

Listed:
  • Elmar Diederichs
  • Anatoli Juditsky
  • Arkadi Nemirovski
  • Vladimir Spokoiny

Abstract

Sparse non-Gaussian component analysis (SNGCA) is an unsupervised method of extracting a linear structure from a high dimensional data based on estimating a low-dimensional non-Gaussian data component. In this paper we discuss a new approach to direct estimation of the projector on the target space based on semidefinite programming which improves the method sensitivity to a broad variety of deviations from normality. We also discuss the procedures which allows to recover the structure when its e ective dimension is unknown.

Suggested Citation

  • Elmar Diederichs & Anatoli Juditsky & Arkadi Nemirovski & Vladimir Spokoiny, 2011. "Sparse Non Gaussian Component Analysis by Semidefinite Programming," SFB 649 Discussion Papers SFB649DP2011-080, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
    • Handle: RePEc:hum:wpaper:sfb649dp2011-080
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    File URL: http://sfb649.wiwi.hu-berlin.de/papers/pdf/SFB649DP2011-080.pdf
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    References listed on IDEAS

    as
    1. Gilles Blanchard & Motoaki Kawanabe & Masashi Sugiyama & Vladimir Spokoiny & Klaus-Robert Müller, 2005. "In Search of Non-Gaussian Components of a High-Dimensional Distribution," SFB 649 Discussion Papers SFB649DP2006-040, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
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    Cited by:

    1. Raffaele Fiocco, 2012. "Competition and regulation with product differentiation," Journal of Regulatory Economics, Springer, vol. 42(3), pages 287-307, December.
    2. Patrick Cheridito & Ulrich Horst & Michael Kupper & Traian A. Pirvu, 2011. "Equilibrium Pricing in Incomplete Markets under Translation Invariant Preferences," SFB 649 Discussion Papers SFB649DP2011-083, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
    3. Alena MyÅ¡iÄ ková & Song Song & Piotr Majer & Peter N.C. Mohr & Hauke R. Heekeren & Wolfgang K. Härdle, 2011. "Risk Patterns and Correlated Brain Activities. Multidimensional statistical analysis of fMRI data with application to risk patterns," SFB 649 Discussion Papers SFB649DP2011-085, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
    4. Ulrich Horst & Michael Kupper & Andrea Macrina & Christoph Mainberger, 2011. "Continuous Equilibrium under Base Preferences and Attainable Initial Endowments," SFB 649 Discussion Papers SFB649DP2011-082, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.

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    More about this item

    Keywords

    dimension reduction; non-Gaussian components analysis; feature extraction;
    All these keywords.

    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General

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