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Discriminant Analysis Based on the Approaches of Quantum Computing

Abstract

Under consideration is a new version of the Discriminant Analysis that was created on the basis of the approaches of quantum computing. Unlike the Classical Discriminant Analysis, there are no a priori assumptions about the probabilistic distributions of empirical data as well as binding to geometric data representations, which are not always consistent with real observations.

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ACKNOWLEDGMENTS

The author would like to thank Professor G.G. Amosov for his valuable help.

Funding

This work has been supported by the Russian Foundation for Basic Research (project no. 17-29-07034).

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Correspondence to L. S. Kuravsky.

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(Submitted by S. A. Grigoryan)

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Kuravsky, L.S. Discriminant Analysis Based on the Approaches of Quantum Computing. Lobachevskii J Math 41, 2338–2344 (2020). https://doi.org/10.1134/S1995080220120203

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Keywords:

  • classification problem
  • discriminant analysis
  • quantum computing
  • matrix of mutual differences