EPAM SDT faculty scientific papers
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Item Удосконалена онтологічна модель бази знань експертної системи підтримки прийняття рішень в галузі цифрового опрацювання та комп’ютерної симуляції циклічних сигналів.(2024) Лупенко, Сергій; Воляник, ОлександрThe work is devoted to the improvement of the conceptual and formal-logical model of the ontology of the subject area "Modeling and Processing of Cyclic Signals". Namely, the work developed a formal-logical model of the sub-ontology of tasks, a formal-logical model of the sub-ontology of problem-solving methods in the field of modeling and processing of cyclic signals, a formal-logical model of the sub-ontology of hardware and software tools, and a formal-logical model of the sub-ontology of the results of applying mathematical models, methods and means of processing and computer simulation of cyclic signals. The improved ontology model and its implemented prototype are the main knowledge base of the onto-oriented expert decision-making support system when solving the tasks of justified selection of mathematical models and methods for evaluating characteristics, spectral analysis and computer simulation of cyclic signals within the framework of the theory of cyclic functional relations. Examples of ontology fragments developed in the Protégé environment are given. The non-contradiction of the developed ontology was confirmed by means of Protégé's automated formal and logical reasoning. The expediency of API-based integration of the developed computer ontology with a large linguistic model, namely, with ChatGPT, is substantiated.Item Effective least squares approximation method for estimating the rhythm function of cyclic random process(2025) Lupenko, Serhii; Wiatr, Małgorzata; Metelski, AndrzejThe work is devoted to a problem of the rhythm function estimation of a cyclic random process, which is based on the least squares approximation methods instead of well-known interpolation approach. Analytical dependencies between errors of estimation of a discrete rhythm function and errors of segmentation of a cyclic random process into cycles and zones were constructed. This made it possible to develop a procedure for calculating and controlling errors of estimating rhythm function of a cyclic random process as certain functions of errors of the segmentation method. The general problem of least squares approximation of the rhythm function of a cyclic random process is formulated as a problem of optimal selection of a parametric function derived from a predetermined class of functions that satisfy the necessary and sufficient conditions of the rhythm function of a cyclic random process. New parametric classes of rhythm characteristics of cyclic random processes such as parametric monomials of degree k, parametric logarithmic functions and parametric exponential functions have been built. The advantage of considered method over well-known interpolation approach refers to the improvement of accuracy of rhythm function estimation and reduction of the rhythm function estimation parameters’ number. For example, in presented computer simulation experiment for the parametric class of monomials of degree 2, average value of the mean square errors for 500 simulations in the case of the interpolation is over 40 times higher than the corresponding value for approximation. Moreover, for that parametric class, the number of estimated parameters is almost equal to doubled number of considered cycles in the case of piecewise linear interpolation and is reduced to 1 for least square approximation. The results obtained in the work constitute the basis for improvement of rhythm-adaptive methods and spectral analysis of cyclic random processes, including the area of statistical methods for detecting hidden cyclic structures of the investigated cyclic stochastic signals with an irregular rhythm.Item GRAPH USER INTERFACES FOR ENHANCING EXPLORATORY LEARNING: AN OVERVIEW(2023-10-30) Tytenko, Andrii; Tytenko, SergiyExploratory 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.Item GENERATIVE AI AND PROMPT ENGINEERING IN EDUCATION(2023-10-30) Kakun, Artem; Tytenko, SergiyThe 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.Item ABSTRACT CYCLIC FUNCTIONAL RELATION AND TAXONOMIES OF CYCLIC SIGNALS MATHEMATICAL MODELS: CONSTRUCTION, DEFINITIONS AND PROPERTIES(MDPI, 2024-10-01) Lupenko, SerhiiThis 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.