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The solution of the problem of construction of generalized model of production system optimal development is considered. Basis of the model — Bolza variational problem with integrated criterion of the first kind. Solution of the problem by numerical method is based on the method of optimal aggregation of “production, development” structures by simulation method of Hamilton function determination and...
Analytic and experimental averaging over random matrices for the error of the true signal recovery is carried out for the method of solving the discrete ill-posed problems on the basis of random projection.
The article considers methods of processing uncertainties in solving dynamic planning problems. Various types of uncertainties are considered, such as stochastic uncertainties, uncertainties in the parameters and structure of models, the uncertainty of the amplitude type and the probabilistic type. Methods for processing data for reducing uncertainties are proposed.
The task of designing information technology for time series forecasting, that bases on fuzzy expert evaluations, were considered. A forecasting model, part of which is an expert's unit, were proposed. To determine expert evaluation of the forecast value, the task of forecasting was seen as the problem of numerical evaluation of object. The analysis of features for designing information-analytical...
The approximation methods to investigate the dynamical processes in the strong nonlinear single-or multi-degree physical systems are studied in the paper. The developed procedure of the investigation of the oscillations in the nonlinear systems with the concentrated mass can solve not only the analysis problems but the problems of the cyberphysical oscillation system synthesis on the projective phase...
The research methodology of mathematical support of computer-aided design systems has been formulated based on the algebra of algorithms and the mathematical induction. The methodology has been illustrated on the example of the research of the known but slightly complicated Euclidean algorithm.
The ecosystem model of surface water quality in the river basin was formalized on the basis of the theory of neural networks. The neural network is trained based on the observation data. Upon that the methods of environmental assessment and suitability of water for irrigation as well as for drinking needs can be used for the neural networking. The developed ecosystem model enables to improve significantly...
The complex analysis and systematization of mathematical and computer-oriented methods of processing historical information have been realized. The main directions of development of national science and summarized historical experience of information technology in the Ukrainian historiography of science is defined.
The two-dimensional mathematical model of rheological behavior of wood in non-isothermal moisture transfer conditions which consider the medium fractal structure, available memory and spatial correlation effects was synthesized. Difference schemes of differential equations of heat and moisture transfer and visco-elastic deformation in the two-dimensional area with appropriate boundary conditions was...
The article describes typical problems solved by means of inductive modeling, provides information on the development of this scientific direction in Ukraine and abroad, characterizes the basic fundamental, applied and technological achievements, and formulates the most promising ways of further research.
The issue of the speed of information dissemination in the environment of social networks is considered. A conceptual model is proposed based on Monod equation, where biomass growth rate depends on the concentration of the substrate. A parallel between the main data of microbiological processes and processes in social networks is drawn. The major factors influencing information dissemination speed...
A new mathematical principle relating to the optimum placement of structural elements in spatially or temporally distributed information systems (e.g. 2D data arrays) with respect to redundancy and vector processing speed, using novel design based on combinatorial configurations expounds. The research covers various aspects of modern computer sciences and information technologies including a teacher...
A new approach to optimum processing of multi-dimensional data arrays for advanced information technologies and education informatics, using innovative mathematical principle based on the combinatorial configurations expounds in this paper. This approach relates to the optimum arrangement of structural elements in two-or multi-dimensional arrays with respect to minimizing of retrieval capacity, and...
This article discusses the issues related to development of mathematical support for work operations of the business licensing process in the Republic of Kazakhstan. Mathematical support is developed on the theoretical results obtained in the previous studies. It is assumed that the work operations interact with each other, therefore, the problems of algorithmization of these processes are considered...
In the paper, the method of parametric identification of interval discrete dynamic models is considered. An improved scheme of the computational implementation of this method is proposed. The scheme considers an area of permissible values for modeled characteristics. Results of the comparative analysis of the proposed scheme efficiency of this method with a known one are presented.
This paper studies a statistical dataset describing submissions to the municipalities in Czech Republic. The dataset contains five submission-specific subgroups as interdependent time series. The research purpose is to build a suitable model for description of the process. In this work, the autoregressive and vector autoregressive models are used for fitting the data. The obtained results proved to...
The results of computational investigation of the generalized iterative algorithm GIA GMDH with active neurons are presented. The algorithm's architecture is based on hybridization of iterative and combinatorial search schemes and comprises six standard variants of typical GMDH algorithms. The experiments demonstrate high performance and accuracy of the algorithm. Results of using the GIA GMDH are...
The paper deals with the problem of stability during the solving of pattern recognition tasks from the point of view of transformation groups. It shows the possibility to avoid the necessity of regularization by using the geometric equaffine Lorentz transformation, exploiting as example the alpha-procedure.
Forecasting the returns of stock markets is gaining importance nowadays in finance. For this aim, in the last decade, Artificial Neural Networks (ANN) have been widely used to forecast stock market movements. In Baltic countries, artificial neural networks are not commonly used in predicting financial failures. This study aims using artificial neural networks to predict OMX Baltic Benchmark GI (OMXBBGI)...
The paper presents theoretical grounds of recurrent-and-parallel computing applying in combinatorial GMDH algorithm for modeling and prediction of complex multidimensional interrelated processes in the class of vector autoregressive models. The effectiveness of the constructed algorithm is demonstrated by modeling of interrelated processes in the field of Ukraine energy sphere with the purpose of...
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