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Methods for discrete analysis of medical data on the basis of recognition theory and some of their applications

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Abstract

Methods for the analysis of medical data and the results of their application to the treatment of a number of socially important diseases in important medical areas (cardiology, neurology, surgery, and oncology) are considered. The precedent approach is investigated. Practical methods of discrete analysis of training data, logical and statistical methods for searching logical regularities in data, combinatorial logic and logical statistical classification methods, and methods for estimating models and searching for “nonstandard” descriptions are presented. The results of experiments on real data are demonstrated.

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Correspondence to V. V. Ryazanov.

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Yurii Ivanovich Zhuravlev. Born 1935. Graduated from the Moscow State University in 1957. Received doctoral degree in 1965, is Professor since 1967, and Academician of the Russian Academy of Sciences since 1992. Currently is Deputy Director of the Dorodnicyn Computing Centre, Russian Academy of Sciences, Chair at the Mathematics Department of the Russian Academy of Sciences, and Head of Chair at Moscow State University. Editorin- 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. Scientific interests: mathematical logic; control systems theory; mathematical theory of pattern recognition, image analysis, and forecasting; operations research; and artificial intelligence.

Gerasim Igorevich Nazarenko. Born 1953. Graduated from the Kirov Military Medical Academy and the Mozhaiskii Military Engineering Academy (1979). Doctor of Science in medicine, professor, academician of the Russian Academy of Sciences, Honored Scientist, and Honored Doctor. Currently is the Head of the Institute of Modern Information Technologies in Medicine. Scientific interests: medical technological processes, development of fundamental principles of information technologies for clinical medicine, control of quality and safety of medical aid, control of a medical organization by the methods if implementation of innovative projects. Author of more than 450 papers, including 35 monographs and 2 patents. Awarded 14 State prizes.

Aleksandr Petrovich Vinogradov. Born 1951. MS degree in physics from the Applied Mathematics and Control Department of the Moscow Institute of Physics and Technology, 1974. PhD in mathematical cybernetics, 1978. Senior Researcher at the Dorodnicyn Computing Centre, Federal Research Center “Computer Science and Control,” Russian Academy of Sciences. Author of about 70 scientific papers. Scientific interests: algebraic and geometrical methods in pattern recognition, image analysis and processing.

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 2008. Currently is with the Dorodnicyn Computing Centre, Russian Academy of Sciences. Scientific interests: pattern recognition and data analysis. Author of 63 papers.

Natal’ya Nikolaevna Katerinochkina. Born 1945. Graduated from the Moscow State University in 1967. Received candidates degree in 1978. Currently is senior researcher at the Dorodnicyn Computing Centre, Russian Academy of Sciences. Scientific interests: discrete mathematics, discrete optimization, recognition theory, and data analysis. Author of 45 papers.

Elena Borisovna Kleimenova. Born 1963. Graduated from the Pirogov Russian National Research Medical University in 1986. Received candidates degree in 1991 and doctoral degree in 2009. Awarded the title Honorary Doctor of Russian Federation in 2006. Currently professor at the Chair of Clinical Farmacology at the Russian Academy of Postgraduate Education. Scientific interests: technology of evidence-based medicine, practical application an inculcation aspects, information resources in evidence-based medicine, automatization of clinical instructions, automatization of diagnostic and treatment process in a multispecialty hospital, inculcation of molecular genetic and cellular technologies in a multispecialty hospital, problems of quality and safety of medical aid, approaches to the control of risks in a multispecialty hospital, management of the quality of medicine, and process approach. Author of 50 publications.

Marina Vladimirovna Konstantinova. Born 1963. Graduated from the Pirogov Russian National Research Medical University in 1987. Received candidates degree in 1993. Currently is Head of Department of Neurology at the Medical Center of the Bank of Russia Scientific interests: acute cardiovascular attacks, conservative and small-invasive methods of treatment back pain, application of information technologies and mathematical methods to increasing the quality of medical aid to patients of neurological profile. Author of 15 scientific publications.

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 is Head of the Department of Methods of Classification and Analysis of Data at the Dorodnicyn Computing Centre. Scientific interests: optimization methods of recognition models, algorithms for searching for and processing logical regularities 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 missing 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. Author of 208 publications.

Andrei Mikhailovich Cherkashov. Born 1960. Graduated from the Pirogov Russian National Research Medical University in 1983. Received candidates degree in 1989 and doctoral degree in 2002. Awarded the title Honorary Doctor of Russian Federation in 2002. Currently is Chief Doctor at the Multispecialty Medical Center of the Bank of Russia. Scientific interests: vertebrology, small-invasive interventions in case of back pains, medical information systems, application of information technologies and mathematical methods to increasing the quality of medical aid. Author of about 80 scientific publications.

Oleg Valentinovich Sen’ko. Born 1957. Graduated from the Moscow Institute of Physics and Technology in 1981. Received candidates degree in 2007. Currently is 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.

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Zhuravlev, Y.I., Nazarenko, G.I., Vinogradov, A.P. et al. Methods for discrete analysis of medical data on the basis of recognition theory and some of their applications. Pattern Recognit. Image Anal. 26, 643–664 (2016). https://doi.org/10.1134/S105466181603024X

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