Nonparametric sign prediction of high-dimensional correlation matrix coefficients

Christian Bongiorno and Damien Challet

Papers from arXiv.org

Abstract: We introduce a method to predict which correlation matrix coefficients are likely to change their signs in the future in the high-dimensional regime, i.e. when the number of features is larger than the number of samples per feature. The stability of correlation signs, two-by-two relationships, is found to depend on three-by-three relationships inspired by Heider social cohesion theory in this regime. We apply our method to US and Hong Kong equities historical data to illustrate how the structure of correlation matrices influences the stability of the sign of its coefficients.

Date: 2020-01
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http://arxiv.org/pdf/2001.11214 Latest version (application/pdf)

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Working Paper: Nonparametric sign prediction of high-dimensional correlation matrix coefficients (2021)
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Persistent link: https://EconPapers.repec.org/RePEc:arx:papers:2001.11214

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