ІНФОРМАЦІЙНА ТЕХНОЛОГІЯ СИНТЕЗУ РОЗДІЛЬНИХ ГІПЕРПЛОЩИН ДЛЯ ЛІНІЙНИХ КЛАСИФІКАТОРІВ
Information technology allowing to implement tasks of classification, clustering, researching of topology of the information component of the data is proposed. The multidimensional feature space is reduced to the visual presentation space to determine the information content of the data. Optimized r...
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| Datum: | 2025 |
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| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
V.M. Glushkov Institute of Cybernetics of NAS of Ukraine
2025
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| Schlagworte: | |
| Online Zugang: | https://jais.net.ua/index.php/files/article/view/655 |
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| Назва журналу: | Problems of Control and Informatics |
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Problems of Control and Informatics| Zusammenfassung: | Information technology allowing to implement tasks of classification, clustering, researching of topology of the information component of the data is proposed. The multidimensional feature space is reduced to the visual presentation space to determine the information content of the data. Optimized reduction of the space dimension to two-dimensional one applying multidimensional scaling methods is used. Visual definition of grouping data allows separating areas to form. The next stage is visual limitation of categories of classes using graphic separators. To enable flexibility of nonlinear areas limitation a combination of linear ones is used, forming, thus, a piecewise linear set with necessary degree of sampling. Using piecewise linear constraints allows to implement projecting into original multidimensional feature space. Visual construction of restrictive separators makes possible to consider tolerance fields of changing of features parameters, measure separation of classes, nonlinearity of data grouping. This is followed by the reverse expansion of space with the projection of the separators into n-dimensional space with the synthesis of separating hyperplanes. Thus, restrictive areas of hyperspace for the necessary categories of classes are formed. At the same time, visualization of classification processes in hyperspace is provided. Information technology base is multidimensional space projecting into visual (two-dimensional) space, constructing piecewise linear constraints of studied areas, subsequent constraints projecting into multidimensional space. Thus, information technology enables to synthesize separating hyperplanes limiting categories of classes in multidimensional space. The technology application successive stages are described.
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