EPAM SDT faculty scientific papers

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    GRAPH USER INTERFACES FOR ENHANCING EXPLORATORY LEARNING: AN OVERVIEW
    (2023-10-30) Tytenko, Andrii; Tytenko, Sergiy
    Exploratory learning is a key methodology in education. This text highlights the role of Graph User Interfaces (Graph UI) in enhancing exploratory learning by providing interactive, graph-structured data representations. Tracing from Euler's work to modern applications, graph structures simplify complex data, aiding cognitive engagement and navigational abilities. Studies show that Graph UI can optimize educational processes, enhancing knowledge acquisition and innovative application through an intuitive, visually structured learning environment. The promising future of exploratory learning through Graph UI invites more research and development to unlock its potential for insightful and accessible learning experiences.
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    GENERATIVE AI AND PROMPT ENGINEERING IN EDUCATION
    (2023-10-30) Kakun, Artem; Tytenko, Sergiy
    The development of generative AIs and the variability of their use are still at the level of research and active development simultaneously. However, it has already become clear that the emergence of generative AI significantly impacts many industries, including education. In this study, we explore the potential applications of generative AI in education, such as personalized learning tools and AI-powered study resources. We also delve into the critical role of prompt engineering in ensuring effective communication between users and AI systems, leading to improved educational outcomes. In addition, we identify the challenges and risks associated with integrating artificial intelligence technologies into the educational environment, including data privacy, security issues, andpotential AI “hallucinations”. By thoroughly exploring these topics, this study aims to highlight the opportunities and limitations of generative AI and prompt engineering in education.
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    ABSTRACT CYCLIC FUNCTIONAL RELATION AND TAXONOMIES OF CYCLIC SIGNALS MATHEMATICAL MODELS: CONSTRUCTION, DEFINITIONS AND PROPERTIES
    (MDPI, 2024-10-01) Lupenko, Serhii
    This work is devoted to the procedure of the construction of an abstract cyclic functional relation, which summarizes and extends the known results for a cyclically correlated random process and a cyclic (cyclically distributed) random process to the case of arbitrary cyclic functional relations. Two alternative definitions of the abstract cyclic functional relation are given, and the fundamental properties of its cyclic and phase structures are presented. The theorem on the invariance of cyclicity attributes of an abstract cyclic functional relation to shifts of its argument, and which are determined by the rhythm function of this functional relation, is formulated and proved. This theorem gives the sufficient and necessary conditions that the rhythm function of an abstract cyclic functional relation must satisfy. By specifying the range of values and attributes of the cyclicity of an abstract cyclic functional relation, the definitions of important classes of cyclic functional relations are formulated. A deductive approach to building a wide system of taxonomies of classes of deterministic, stochastic, fuzzy and interval cyclic functional relations as potential mathematical models of cyclic signals is demonstrated. A comparative analysis of an abstract cyclic functional relation with the known mathematical models of cyclic signals was carried out. The results obtained in the article significantly expand and systematize the mathematical tools of the description of cyclic signals and are the basis for the development of effective model-based technologies for processing and computer simulation of signals with a cyclic space-time structure.