Vol. 58 No. 3 (265) (2024)

DOI: https://doi.org/10.46991/PYSUA.2024.58.3
Published: 2025-01-25

Mathematics

  • Mathematics

    CHANGES IN "CROWNS" IN TOPOLOGICAL ALGEBRAS OF FUNCTIONS

    Tigran M. Khudoyan, Martin I. Karakhanyan
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    Abstract

    In this work, for topological algebras of continuous complex-valued functions defined on a locally compact, the change in the topological "crown" of such algebra is studied depending on the topology introduced in it. Note that the concept of the "crown" was previously studied in works [1-3]. However, the concept of the topological "crown" for topological algebras of functions is introduced for the first time in work [3]. In fact, the topological "crown" is the set of all those linear multiplicative functionals that are not continuous on the given topological algebra.

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Informatics

  • Informatics

    SYNTHETIC DOCUMENT GENERATION FOR THE TASK OF VISUAL DOCUMENT UNDERSTANDING

    Khachatur S. Khechoyan
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    Abstract

    Solving the problem of document analysis using machine learning methods requires a large amount of labeled data. Such data is not always available, and if available, it only covers certain types of documents. In this paper, we present a method for creating synthetic data that allows creating documents of any type by pre-defining the document components. By changing the arrangement of document components, text content, and visual elements using configurations, we create diverse and realistic datasets that mimic real documents. This method addresses the problem of the lack of labeled datasets and offers a flexible solution to improve the results of a machine learning model.

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