<?xml version='1.0' encoding='utf-8'?>
<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.2 20190208//EN" "http://jats.nlm.nih.gov/publishing/1.2/JATS-journalpublishing1.dtd">
<article article-type="research-article" dtd-version="1.2" xml:lang="ru" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><front><journal-meta><journal-id journal-id-type="issn">2518-1092</journal-id><journal-title-group><journal-title>Research result. Information technologies</journal-title></journal-title-group><issn pub-type="epub">2518-1092</issn></journal-meta><article-meta><article-id pub-id-type="doi">10.18413/2518-1092-2025-10-4-0-1</article-id><article-id pub-id-type="publisher-id">4011</article-id><article-categories><subj-group subj-group-type="heading"><subject>INFORMATION SYSTEM AND TECHNOLOGIES</subject></subj-group></article-categories><title-group><article-title>&lt;strong&gt;ON PERFORMANCE INDICATORS OF RECOGNITION METHODS, PROVIDED THAT THE TEST DATA IS APPROXIMATELY MARKED UP&lt;/strong&gt;</article-title><trans-title-group xml:lang="en"><trans-title>&lt;strong&gt;ON PERFORMANCE INDICATORS OF RECOGNITION METHODS, PROVIDED THAT THE TEST DATA IS APPROXIMATELY MARKED UP&lt;/strong&gt;</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author"><name-alternatives><name xml:lang="ru"><surname>Bolgova</surname><given-names>Evgeniya Vitalievna</given-names></name><name xml:lang="en"><surname>Bolgova</surname><given-names>Evgeniya Vitalievna</given-names></name></name-alternatives><email>Bolgova_e@bsuedu.ru</email></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="ru"><surname>Chernomorets</surname><given-names>Andrey Alekseevich</given-names></name><name xml:lang="en"><surname>Chernomorets</surname><given-names>Andrey Alekseevich</given-names></name></name-alternatives><email>Chernomorets@bsu.edu.ru</email></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="ru"><surname>Bukhantsov</surname><given-names>Andrey Dmitrievich</given-names></name><name xml:lang="en"><surname>Bukhantsov</surname><given-names>Andrey Dmitrievich</given-names></name></name-alternatives><email>bukhantsov@bsuedu.ru</email></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="ru"><surname>Funikov</surname><given-names>Andrey Dmitrievich</given-names></name><name xml:lang="en"><surname>Funikov</surname><given-names>Andrey Dmitrievich</given-names></name></name-alternatives></contrib></contrib-group><pub-date pub-type="epub"><year>2025</year></pub-date><volume>10</volume><issue>4</issue><fpage>0</fpage><lpage>0</lpage><self-uri content-type="pdf" xlink:href="/media/information/2025/4/ИТ_НР_10_4_1.pdf" /><abstract xml:lang="ru"><p>Various performance indicators are used to evaluate and compare the effectiveness of object recognition methods in solving a specific task. When evaluating the performance of these methods based on the analysis of real test data, the operator&amp;#39;s marking of pixels belonging to an object can in many cases be performed fairly approximately. The paper proposes estimates of Accuracy, Precision, Recall, and F1-score indicators of the efficiency of recognition (classification) methods under the condition of approximate markup of test data (images). The paper also suggests the so-called normalized mean-square distance between a set of False Positive pixels and a set of pixels of an object as an indicator of the performance of recognition methods, which, unlike other indicators, allows us to estimate the distribution of False Positive pixels in an image relative to pixels of objects, which is important when evaluating and comparing the effectiveness of various recognition methods. The paper provides examples of calculating the values of the proposed indicators.</p></abstract><trans-abstract xml:lang="en"><p>Various performance indicators are used to evaluate and compare the effectiveness of object recognition methods in solving a specific task. When evaluating the performance of these methods based on the analysis of real test data, the operator&amp;#39;s marking of pixels belonging to an object can in many cases be performed fairly approximately. The paper proposes estimates of Accuracy, Precision, Recall, and F1-score indicators of the efficiency of recognition (classification) methods under the condition of approximate markup of test data (images). The paper also suggests the so-called normalized mean-square distance between a set of False Positive pixels and a set of pixels of an object as an indicator of the performance of recognition methods, which, unlike other indicators, allows us to estimate the distribution of False Positive pixels in an image relative to pixels of objects, which is important when evaluating and comparing the effectiveness of various recognition methods. The paper provides examples of calculating the values of the proposed indicators.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>performance indicators</kwd><kwd>recognition methods</kwd><kwd>digital images</kwd><kwd>dilation</kwd><kwd>normalized mean-square distance</kwd></kwd-group><kwd-group xml:lang="en"><kwd>performance indicators</kwd><kwd>recognition methods</kwd><kwd>digital images</kwd><kwd>dilation</kwd><kwd>normalized mean-square distance</kwd></kwd-group></article-meta></front><back><ref-list><title>Список литературы</title><ref id="B1"><mixed-citation>1. Mikhailichenko A.A. An Analytical Review of Methods for Assessing the Quality of Classification Algorithms in Machine Learning Problems. Bulletin of Adyghe State University. Series 4: Natural, Mathematical, and Technical Sciences. 2022. No. 4 (311). pp. 52&amp;ndash;59.</mixed-citation></ref><ref id="B2"><mixed-citation>2. Limanovskaya O.V., Alferyeva T.I. Fundamentals of Machine Learning: A Textbook. Yekaterinburg: Ural University Press, 2020. 88 p.</mixed-citation></ref><ref id="B3"><mixed-citation>3. Levchuk S.A., Yakimenko A.A. A Study of the Characteristics of Face Recognition Algorithms. Collection of Scientific Papers of NSTU. 2018. No. 3&amp;ndash;4 (93). pp. 40&amp;ndash;58.</mixed-citation></ref><ref id="B4"><mixed-citation>4. Lazarev D.A., Funikov A.D., Bolgova E.V., Chernomorets A.A., Fefelov O.S. 2025 On Algorithms for Segmentation of Digital Images of Motor Roads. Economics. Information technologies, 52(1): 215-226 (in Russian). DOI 10.52575/2687-0932-2025-52-1-215-226.</mixed-citation></ref><ref id="B5"><mixed-citation>5. Applied Mathematical Statistics: A Textbook. Author: A.A. Mitsel. &amp;ndash; Tomsk: Tomsk State University of Control Systems and Radioelectronics, 2019. &amp;ndash; 113 p.</mixed-citation></ref><ref id="B6"><mixed-citation>6. Serra J. Image Analysis and Mathematical Morphology. &amp;ndash; 1982. &amp;ndash; 610 p.</mixed-citation></ref><ref id="B7"><mixed-citation>7. Serra J. Image Analysis and Mathematical Morphology. Vol. 2: Theoretical Advances. &amp;ndash; 1988. &amp;ndash; 411 p.</mixed-citation></ref><ref id="B8"><mixed-citation>8. Gonzalez R. Digital Image Processing. 3rd edition, revised and supplemented / R. Gonzalez, R. Woods. &amp;ndash; Moscow: Tekhnosfera, 2012. &amp;ndash; 1104 p.</mixed-citation></ref><ref id="B9"><mixed-citation>9. Lebedev L.I., Vasin Yu.G. A two-criteria algorithm for recognizing objects in graphic images based on the KECM // 25th Anniversary International Conference (GraphiCon2015), Russia, Protvino (Park Drakino), September 22&amp;ndash;25, 2015. &amp;ndash; P. 112&amp;ndash;114.</mixed-citation></ref><ref id="B10"><mixed-citation>10. Khmelev R.V. Joint use of structural analysis and the Hausdorff metric in comparing an object and a standard // Computer Optics, 2005, No. 27 &amp;ndash; P. 174&amp;ndash;176.</mixed-citation></ref><ref id="B11"><mixed-citation>11. Hausdorff F. Set Theory. &amp;ndash; M.-L.: United Scientific and Technical Publishing House of the People&amp;#39;s Commissariat of Industrial Trade of the USSR, 1937. &amp;ndash; 305 p.</mixed-citation></ref><ref id="B12"><mixed-citation>12. Sukharev A.G., Timokhov A.V., Fedorov V.V. Course of optimization methods: Textbook. &amp;ndash; 2nd ed. &amp;ndash; Moscow: Fizmatlit, 2011. &amp;ndash; 384 p.</mixed-citation></ref></ref-list></back></article>