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On Some Transformations of Features in Machine Learning in Medicine

  • Mathematical Method in Pattern Recognition
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Abstract

A new view is given to supervised classification problems by precedents on the basis of logical approaches and the possibility of their application in medicine. The basic logical and logical statistical models of classification (basic definitions, search, processing, and application of logical regularities of classes (LRCs); transition to other feature spaces; and the method of optimal reliable decompositions) and their verification are presented. Numerous applications in medicine and two problems of qualification assessment and choice of the treatment method are considered.

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Author information

Authors and Affiliations

  1. Dorodnitsyn Computing Center, Federal Research Center “Informatics and Control”, Russian Academy of Sciences, Vavilova str. 44, Building 2, Moscow, 119333, Russia

    Yu. I. Zhuravlev, V. V. Ryazanov, O. V. Sen’ko & A. A. Dokukin

  2. Faculty of Computational Mathematics and Cybernetics, Moscow State University, Lomonosovsky pr. 27/7, Moscow, 119992, Russia

    P. A. Afanas’ev

Authors
  1. Yu. I. Zhuravlev
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  2. V. V. Ryazanov
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  3. O. V. Sen’ko
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  4. A. A. Dokukin
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  5. P. A. Afanas’ev
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Corresponding author

Correspondence to V. V. Ryazanov.

Additional information

Yurii Ivanovich Zhuravlev. Born 1935. Graduated from the Moscow State University in 1957. Received doctoral degree in 1965, professor since 1967 and academician of the Russian Academy of Sciences since 1992. Currently Deputy Director of the Dorodnitsyn Computing Centre, Federal Research Center “Informatics and Control,” Russian Academy of Sciences, Deputy Academician Secretary of the Division of Mathematics of the Russian Academy of Sciences, and Head of Chair at Moscow State University. Editor-in-Chief of Pattern Recognition and Image Analysis. Foreign member of the Spanish Royal Academy of Sciences, the National Academy of Sciences of Ukraine, and the European Academy of Sciences. Winner of the Lenin and Lomonosov Prizes. Author of 257 publications. Among his students are more than 100 candidates of sciences and 26 doctors of sciences. Scientific interests: mathematical logic; control systems theory; mathematical theory of pattern recognition, image analysis, and forecasting; operations research; and artificial intelligence.

Vladimir Vasil’evich Ryazanov. Born 1950. Graduated from the Moscow Institute of Physics and Technology in 1973. Received candidates degree in 1977 and doctoral degree in 1994. Academician of the Russian Academy of Natural Sciences since 1998 and professor since 2008. Since 1976 has been with the Dorodnitsyn Computing Centre, Russian Academy of Sciences. Currently Head of the Department of Methods of Classification and Analysis of Data at the Dorodnitsyn Computing Centre, Federal Research Center “Informatics and Control,” Russian Academy of Sciences. Author of 208 publications. Scientific interests: optimization methods of recognition models, algorithms for searching for and processing logical regularities of classes by precedents, mathematical recognition models based on voting by the sets of logical regularities of classes, committee synthesis of collective clusterings and construction of stable solutions in clustering problems, restoration of omissions in data, restoration of regressions by the sets of recognition algorithms, development of software classification systems, and solution of practical problems in medicine, engineering, chemistry an other fields.

Oleg Valentinovich Sen’ko. Born 1957. Graduated from the Moscow Institute of Physics and Technology in 1981. Received candidates degree in 2007. Currently a leading scientist at the Federal Research Center “Informatics and Control,” Russian Academy of Sciences. Scientific interests: methods of machine learning and intelligent data analysis and their practical application. Author of more than 100 publications.

Aleksandr Aleksandrovich Dokukin. Born 1980. Graduated with honors from the Department of Computational Mathematics and Cybernetics, Moscow State University, in 2002. Received candidates degree in 2005. Currently is with the Dorodnitsyn Computing Centre, Federal Research Center “Informatics and Control,” Russian Academy of Sciences. Scientific interests: pattern recognition and data analysis. Author of 63 publications.

Pavel Andreevich Afanas’ev. Entered the Moscow State University in 2014. Currently a student at this university. Scientific interests: theory and practical application of machine learning methods.

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Zhuravlev, Y.I., Ryazanov, V.V., Sen’ko, O.V. et al. On Some Transformations of Features in Machine Learning in Medicine. Pattern Recognit. Image Anal. 28, 720–736 (2018). https://doi.org/10.1134/S1054661818040302

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  • DOI: https://doi.org/10.1134/S1054661818040302

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