Pattern Recognition and Image Analysis

, Volume 22, Issue 1, pp 108–112 | Cite as

Extrapolation of the boundary of uni- and bimodality of a two-component Gaussian mixture

  • N. N. ApraushevaEmail author
  • S. V. Sorokin
Mathematical Theory of Pattern Recognition


A two-component Gaussian mixture with equal variances and various mathematical expectations has been studied. It has been found that a set of singular critical points of its probability density is a boundary of uni- and bimodality. The approximation equation of this boundary has been obtained on a line segment as a second-degree polynomial. The bifurcation area of the function being investigated is presented in the probabilistic form. The extrapolation algorithm of this boundary has been developed on a small line, and the experimental results have been presented.


Gaussian mixture equation of a boundary of uni- and bimodality extrapolation 


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Copyright information

© Pleiades Publishing, Ltd. 2012

Authors and Affiliations

  1. 1.Institution of Russian Academy of Sciences Dorodnicyn Computing Centre of RASMoscowRussia

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