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International Conference of Artificial Intelligence, Medical Engineering, Education

AIMEE 2019: Advances in Artificial Systems for Medicine and Education III pp 33–42Cite as

Development of Matrix Methods for Genetic Analysis and Noise-Immune Coding

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Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1126))

Abstract

The article discusses new methods of studying and using Hadamard matrices. This class of matrices is commonly used in developing AI systems, noise-immune coding of data and simulation of bioinformational entities. The relations between Hadamard matrices and hyper-complex numbers are discussed. A special attention is given to the new method of pre-orthogonal sequences for building multi-block Hadamard matrices of large orders. This method, due to its mathematical characteristics, should also be useful in modeling the noise-immunity features of genetic coding.

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Acknowledgement

The authors express their gratitude for long-standing collaboration and support to professors Jennifer Seberry and Dragomir Ðoković. In technical work with the manuscript and references, T.V. Balonina was very helpful (find a more complete list of works on http://mathscinet.ru/tamara).

The work has been carried out with the support of Ministry of Education and Science of the Russian Federation for research within the development part of the scientific governmental task #2.2200.2017/4.6.

Author information

Authors and Affiliations

  1. Saint Petersburg State University of Aerospace Instrumentation, 67, B. Morskaia Street, 190000, St. Petersburg, Russian Federation

    Nikolay A. Balonin & Mikhail B. Sergeev

  2. Mechanical Engineering Research Institute of the Russian Academy of Sciences, 4, Malyi Kharitonievsky pereulok, 101990, Moscow, Russian Federation

    Sergey V. Petoukhov

Authors
  1. Nikolay A. Balonin
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  2. Mikhail B. Sergeev
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  3. Sergey V. Petoukhov
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Corresponding author

Correspondence to Nikolay A. Balonin .

Editor information

Editors and Affiliations

  1. School of Educational Information Technology, Central China Normal University, Wuhan, Hubei, China

    Zhengbing Hu

  2. Mechanical Engineering Research Institute, Russian Academy of Sciences, Moscow, Russia

    Sergey Petoukhov

  3. Halmos College of Natural Sciences and Oceanography, Nova Southeastern University, Davie, FL, USA

    Matthew He

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Balonin, N.A., Sergeev, M.B., Petoukhov, S.V. (2020). Development of Matrix Methods for Genetic Analysis and Noise-Immune Coding. In: Hu, Z., Petoukhov, S., He, M. (eds) Advances in Artificial Systems for Medicine and Education III. AIMEE 2019. Advances in Intelligent Systems and Computing, vol 1126. Springer, Cham. https://doi.org/10.1007/978-3-030-39162-1_4

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