EPAM SDT

Permanent URI for this community

https://er.auk.edu.ua/handle/234907866/19

Browse

Browsing EPAM SDT by Title

Now showing 1 - 15 of 15
  • Thumbnail Image
    Item
    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.
  • Thumbnail Image
    Item
    AI and Geospatial Big Data Integration: Technology and Application Scenarios Analysis
    (2024-03-12) Levin, Eugene
    In this presentation, the use of artificial intelligence tools and technologies in the process of analyzing Big data based on satellite images will be discussed. The main approaches and artificial intelligence algorithms that are used in data analysis will be considered. The main applied data processing tools based on cloud technologies have been studied. Potential scenarios for solving applied problems based on this toolkit are presented.
  • Thumbnail Image
    Item
    Effective least squares approximation method for estimating the rhythm function of cyclic random process
    (2025) Lupenko, Serhii; Wiatr, Małgorzata; Metelski, Andrzej
    The 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.
  • Thumbnail Image
    Item
    EXAMINATION OF THE ENVIRONMENTAL IMPACT OF UXO AND WEAPON RESIDUES DETECTED USING DRONE-BASED AND GROUND-BASED MAGNETOMETER SURVEYS AND QUANTIFIED WITH LABORATORY MAGNETIC AND GEOCHEMICAL METHODS
    (2024-05-14) Bondar, Ksenia
    Large areas in Ukraine undergo missile attacks and artillery shelling resulting in contamination of land with with UXO, weapon residues and small size particulate matter. Weapon residues are sources of organic and inorganic harmful substances including heavy metals. They subsequently translocate to water, thus increasing the risk of human exposure. We propose to use the magnetic method as a tool for quantification of soil pollution with military-related HM emissions. An increasing body of literature discusses topsoil magnetic measurements used as a proxy for HMs pollution from industrial and urban sources. Hopefully, magnetic methods could be applied in areas of battle fields, small-arm shooting ranges, artillery, mortar and rocket ranges, and grenade courts. The action plan includes in-situ magnetometer surveys and magnetic susceptibility mapping, soil sampling and laboratory magnetic and geochemical measurements. Polluted soils and surface deposits are studied comparatively to unpolluted ones at the areas affected by the war in Ukraine.
  • Thumbnail Image
    Item
    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.
  • Thumbnail Image
    Item
    GitOps: Modern Infrastructure and Application Management Approach
    (2024-05-09) Yuvzhenko, Denys
    GitOps is an innovative approach to managing infrastructure and applications that uses version control tools to automate deployments and ensure reliability in IT environments. This method allows development and operations teams to interact more efficiently, speeding up changes and reducing the risk of human error. By centralizing configuration management through Git, teams can easily track all changes and maintain a high level of security.
  • Thumbnail Image
    Item
    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.
  • Thumbnail Image
    Item
    Intelligent Educational Web Systems with Interactive Concept Maps
    (2023-10-17) Tytenko, Sergiy
    Building intelligent digital learning environments is a big challenge at the intersection of artificial intelligence, didactics, cognitology, software engineering, and other areas. Automation of human learning is a broader task compared to the use of artificial intelligence to solve technical problems. Several decades of research have given rise to various classes of intelligent learning systems, which will be briefly reviewed in the report. The constant availability of huge repositories of professional and educational information, the continuous emergence of new educational resources leads to profound changes in educational processes and methods of obtaining and improving knowledge and skills. Intelligent educational portals should be built by forming an ontologically-oriented model of educational content, which provides formalization of information, ontological modeling of the subject area and didactic function, which provides presentation and visualization of the required educational information. These fundamental components of intelligent educational system will be observed in the presentation. The hypermedia environment, which has received a powerful technical infrastructure thanks to the WWW, has led to the study and emergence of new forms and tools of information and educational content presentation. Various methods and means of visualization of educational information increase clarity and facilitate the process of new knowledge perception. Such tools include a wide range of concept maps that have become widespread in many areas related to information technology and education. The challenge here is to find comprehensive solutions that will reduce computing and labor costs for the multifunctional use of concept maps in information and learning systems. The report will touch on innovative user interfaces based on concept maps as a means of presenting educational content in intelligent learning systems.
  • Thumbnail Image
    Item
    Large Scale Demining and Relevant Technologies at Poznan University of Technology
    (2024-03-28) Skrzypczyński, Piotr
    This is a presentation of the experience of the Institute of Robotics and Machine Inteligence (IRIM) at Poznan University of Technology in a number of areas that are related to earth observation, mobile mapping and objects detection. This experience can be useful defining multi-source solutions for detection and classification of areas endangered by land mines or abandoned explosives. At the seminar was discussed the related development at IRIM, including large scale Simultaneous Localization and Mapping (SLAM) with laser scanners (LiDAR) or passive cameras, thermal mapping of urban areas supported by laser-based SLAM, terrain classification and object detection from satellite and aerial imagery, object detection from UAV images with on-board edge processing, and navigation of terrestrial robots (UGV).
  • Thumbnail Image
    Item
    Mobile Development with Flutter: Clean Architecture and Modular Monolith Design Considerations
    (2024-02-20) Tytenko, Sergiy; Polienova, Valentyna; Fedenko, Vladyslav
    This is an insightful research presentation where you can delve into the world of mobile development using Flutter, exploring the principles of clean architecture and the benefits of modular monolith design.
  • Thumbnail Image
    Item
  • Thumbnail Image
    Item
    NONLINEAR PSEUDO-DIFFERENTIAL OPERATORS AND STOCHASTIC EQUATIONS ON P-ADIC FIELDS
    (2023-10-24) Antoniouk, Alexandra
    The p-adic Mathematics is widely used in Theoretical Physics and Biology. It attracts a great deal of interest in quantum mechanics, string theory, quantum gravity, spin-glass theory, and system biology. The concept of a hierarchical energy landscape is very important from the point of view of the description of relaxation phenomena in complex systems, in particular, glasses, clusters, and proteins. This concept can be outlined as follows. A complex system is assumed to have a large number of metastable configurations that realize local minima on the potential energy surface. The local minima are clustered in hierarchically nested basins of minima, namely, each large basin consists of smaller basins, each consisting of even smaller ones, and so on. Thus, the hierarchy of basins possesses ultrametric geometry and transitions between the basins determine the rearrangements of the system configuration for different time scales. Thus the key points of the concept of a hierarchical structure which is typical for p-adic world is the main advantage that can be used for the description of the complex phenomenon. This talk briefly overviews the results related to the theory of pseudo-differential equations in the spaces of test and generalized functions on the field of p-adic numbers. Results related to the modern nonlinear theory of p-adic porous media equations and their solvability.
  • Thumbnail Image
    Item
    Teaching Strategies for Solution Architecture: Utilizing Open-Source Software Projects to Enhance Professional Learning
    (2024-03-05) Manzhula, Ivan
    This is an insightful research presentation which examines the complexity of modern solution architecture and its challenges that are constantly rising. Educational institutions must adapt to achieve their primary goals: provide IT market with prepared professional beginners having deep analytical skills and flexibility. We would like to introduce demanding ideas and techniques to fulfill this requirement by bringing more applied practical studies into solution architecture learning process for students.
  • Thumbnail Image
    Item
    TOOLS AND TECHNOLOGIES FOR APPLIED SPATIAL ANALYSIS
    (2023-10-31) Putrenko, Viktor
    Geospatial technologies and analysis of geospatial data are an important element in supporting management decision-making in territorial administration, land relations, ecology and the military sphere. From the point of view of software engineering and data science, the main challenges of processing spatial data are the use of a scalable web-based cloud architecture for big data processing, the use of artificial intelligence technologies and the design of virtual reality. The presentation will show the main directions and methods of processing spatial data and provide examples of problem solving.
  • Thumbnail Image
    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, Олександр
    The 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.