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Machine Learning and Risk Management: SVDD Meets RQE

Author

Listed:
  • Dionne, Georges

    (HEC Montreal, Canada Research Chair in Risk Management)

  • Koumou, Gilles Boevi

    (HEC Montreal, Canada Research Chair in Risk Management)

Abstract

This paper re-examines Rao’s Quadratic Entropy (RQE) portfolio diversification in the light of the support vector data description (SVDD), an unsupervised machine learning algorithm developed for the one-class classification. It makes the link between RQE portfolio diversification and the SVDD. More specifically, we show that RQE portfolio diversification problem is equivalent to the dual representation of a hard-margin SVDD problem. This result demonstrates, on the one hand, that the SVDD and its rich set of extensions are relevant for risk management, in particular portfolio diversification. On the second hand, it provides new insights on RQE portfolio diversification approach in terms of interpretation, understanding, implementation, specification, and optimization. This strengthens the believe that machine learning can play an important role in risk management and RQE is an adequate framework to quantify and to manage portfolio diversification.

Suggested Citation

  • Dionne, Georges & Koumou, Gilles Boevi, 2018. "Machine Learning and Risk Management: SVDD Meets RQE," Working Papers 18-6, HEC Montreal, Canada Research Chair in Risk Management.
  • Handle: RePEc:ris:crcrmw:2018_006
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    References listed on IDEAS

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    1. Krauss, Christopher & Do, Xuan Anh & Huck, Nicolas, 2017. "Deep neural networks, gradient-boosted trees, random forests: Statistical arbitrage on the S&P 500," European Journal of Operational Research, Elsevier, vol. 259(2), pages 689-702.
    2. Nayak, Tapan K & Gastwirth, Joseph L, 1989. "The Use of Diversity Analysis to Assess the Relative Influence of Factors Affecting the Income Distribution," Journal of Business & Economic Statistics, American Statistical Association, vol. 7(4), pages 453-460, October.
    3. John L. Evans & Stephen H. Archer, 1968. "Diversification And The Reduction Of Dispersion: An Empirical Analysis," Journal of Finance, American Finance Association, vol. 23(5), pages 761-767, December.
    4. Ravi Jagannathan & Tongshu Ma, 2003. "Risk Reduction in Large Portfolios: Why Imposing the Wrong Constraints Helps," Journal of Finance, American Finance Association, vol. 58(4), pages 1651-1683, August.
    5. François Bavaud, 2011. "On the Schoenberg Transformations in Data Analysis: Theory and Illustrations," Journal of Classification, Springer;The Classification Society, vol. 28(3), pages 297-314, October.
    6. Behr, Patrick & Guettler, Andre & Miebs, Felix, 2013. "On portfolio optimization: Imposing the right constraints," Journal of Banking & Finance, Elsevier, vol. 37(4), pages 1232-1242.
    7. Fischer, Thomas & Krauss, Christopher, 2017. "Deep learning with long short-term memory networks for financial market predictions," FAU Discussion Papers in Economics 11/2017, Friedrich-Alexander University Erlangen-Nuremberg, Institute for Economics.
    8. Fernholz, Robert & Shay, Brian, 1982. "Stochastic Portfolio Theory and Stock Market Equilibrium," Journal of Finance, American Finance Association, vol. 37(2), pages 615-624, May.
    9. Sendhil Mullainathan & Jann Spiess, 2017. "Machine Learning: An Applied Econometric Approach," Journal of Economic Perspectives, American Economic Association, vol. 31(2), pages 87-106, Spring.
    10. Stirling, Andy, 2010. "Multicriteria diversity analysis: A novel heuristic framework for appraising energy portfolios," Energy Policy, Elsevier, vol. 38(4), pages 1622-1634, April.
    11. Nava, Noemi & Di Matteo, Tiziana & Aste, Tomaso, 2018. "Financial time series forecasting using empirical mode decomposition and support vector regression," LSE Research Online Documents on Economics 91028, London School of Economics and Political Science, LSE Library.
    12. Yueqin Zhao & Dayanand N. Naik, 2012. "Hypothesis testing with Rao's quadratic entropy and its application to Dinosaur biodiversity," Journal of Applied Statistics, Taylor & Francis Journals, vol. 39(8), pages 1667-1680, January.
    13. Noemi Nava & Tiziana Di Matteo & Tomaso Aste, 2018. "Financial Time Series Forecasting Using Empirical Mode Decomposition and Support Vector Regression," Risks, MDPI, vol. 6(1), pages 1-21, February.
    14. Sulin Pang & Shuqing Li & Jinwang Xiao, 2014. "Application of the algorithm based on the PSO and improved SVDD for the personal credit rating," Journal of Financial Engineering (JFE), World Scientific Publishing Co. Pte. Ltd., vol. 1(04), pages 1-19.
    15. Tay, Francis E. H. & Cao, Lijuan, 2001. "Application of support vector machines in financial time series forecasting," Omega, Elsevier, vol. 29(4), pages 309-317, August.
    16. repec:bla:jfinan:v:58:y:2003:i:4:p:1651-1684 is not listed on IDEAS
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    More about this item

    Keywords

    Machine Learning; One-Class Classification; Support Vector Data Description; Rao’s Quadratic Entropy; Portfolio Diversification;
    All these keywords.

    JEL classification:

    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions

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