Algorithms for Solving Linear Constraints Over the Ring Of Integers
The author proposes algorithms for constructing a prebasis and the basis of the set of solutions to systems of linear constraints in the form of equalities and inequalities in the domains of integers, which are based on combined coefficients of ...
Using Weight Reliability Masks on Imbalanced Datasets for Satellite Image Segmentation
This article addresses the issue of imbalanced datasets in satellite image segmentation problems, where machine learning models often neglect minority classes in favor of majority ones. We propose using spatial weight masks for the loss function ...
Comparative Analysis of Using Different Text Features, Models, and Methods in Text Author Recognition
The authors used various methods and models in the computer system for text author recognition to recognize the authorship of texts via the example of Azerbaijani writers. They compared the effectiveness of using different text features and ...
Control Systems for the Granulation of Mineral Fertilizers in a Fluidized Bed
Four control systems are generated using Matlab software based on different regulators for the granulation process in a fluidized bed: PID controller and optimal LQR for linear systems and MPC and those based on fuzzy logic for nonlinear systems. ...
Algorithmization and Optimization Models of Patient-Centric Rehabilitation Programs*
An algorithm of the rehabilitation process is created taking into account the constraints of the patient’s rehabilitation program. The identification of rehabilitation participants, the stages, and the means of the rehabilitation efficiency ...
Differential Operators Defining Solutions to Iterated Hyperbolic-Type Equations
Hyperbolic-type differential equations and their iterations are widely used to solve problems related to vibration phenomena and other problems of mechanics and mathematical physics. The methods of solving such equations are the creation of ...
Mathematical Modeling of the Economic Impacts of the Covid-19 Pandemic*
To study the relationship between the dynamics of the COVID-19 pandemic and the state of the economy, the authors developed a stochastic model that covers the epidemic and economic blocks and the system of relationships between them. Based on the ...
Reconstruction of the Differential Equation with Polynomial Coefficients Based on the Information About Its Solutions*
The authors develop and substantiate an algorithm for finding an ordinary differential equation of minimum order with polynomial coefficients over the field of rational numbers, whose solutions are a given system of polynomials (in particular, a ...
Convergence Rate of the Extrapolation from the Past and Operator Extrapolation Algorithms
The authors consider variational inequalities in the Hilbert space and two algorithms for their approximate solution: extrapolation from the past and operator extrapolation. Both algorithms have less computationally expensive iterations than the ...
Optimization Characteristics of the Operator with Delta-Like Kernel for Quasi-Smooth Functions
The authors present the results of the research combining the methods of approximation theory and optimal decision theory. Namely, a solution to the optimization problem for the biharmonic Poisson integral in the upper half-plane is considered one ...
Inverse-Initial Problem for Time-Degenerate PDE Involving the Bi-Ordinal Hilfer Derivative
The authors have proved a unique solvability of an inverse-initial problem for a time-fractional degenerate partial differential equation. Using a method of separation of variables, they obtained the Cauchy problem for fractional differential ...
A Necessary Condition for the Convergence of the Fourier Transform
The Fourier transform is shown to play an important role in solving many applied problems of system analysis. Its properties, which affect the efficiency of using the optimal decision theory in the problems, are analyzed. The necessary condition ...
A Complex Mathematical Model for Evaluating the Functional Reliability of Flight Crew Members
The authors propose a complex mathematical model for determining the functional reliability of flight crew members. The components of the model are the model of control of oxygen modes in the human body, the model of transport and mass exchange of ...
Implementing Montgomery Multiplication to Speed-Up the Computation of Modular Exponentiation of Multi-Bit Numbers
A comparison and analysis of using the developed software implementation of the MontgomeryArithmetic class for computing modular exponentiation are conducted. The performance speed of the developed Montgomery modular multiplication is compared to ...
Recognition of Images of Continuous Wavelet Spectra of Noisy Radio Location Signals Using a Convolutional Neural Network
The article considers the available methods of image recognition of continuous wavelet spectra of noisy signals with linear and nonlinear frequency modulations using convolutional neural networks. A procedure is proposed for preparing spectral ...
