The paper proposes a computationally simple algorithm for detecting outliers and anomalies based on morphological analysis of the internal structure of multidimensional data. An important advantage of the method is the possibility of simultaneous work with qualitative and quantitative signs. It is also distinguished from its analogues by the simplicity of presentation and interpretation of the results. The values’ confidence range of the studied objects is approximated by combining the values’ confidence ranges of qualitatively homogeneous objects (clusters). The belonging of objects to one cluster is determined by the causal relationships between the features characteristic of the subject area. The method is based on the construction of a finite probability space and each element of binary vector is uniquely assigned to the objects of the sample. Based on the Chebyshev inequality, low-power clusters are taken as emissions. Objects that do not belong to the aggregate confidence area are taken as anomalies. Comparison mechanisms based on the Hamming distance have developed: 1) cluster and cluster; 2) cluster and object; 3) object and object. To demonstrate the effectiveness of the method a software module for detecting abnormal server states based on the Linux operating system has been developed. It can also be used as an auxiliary in professional intrusion detection systems.

Methods and algorithms of Monte Carlo simulation of heteroepitaxial growth of Ge on Si are considered. The computational complexity analysis of simulation program blocks is carried out. Parallelization of time-consuming cycles using directives of the open standard OpenMP is proposed. The Monte Carlo simulation of heteroepitaxial growth of Ge on pitpatterned Si substrate was carried out. The position of Ge nanoislands is determined by the competition between the nucleation process of three-dimensional islands due to the accumulation of elastic strain in the growing layer and the process of diffusion of Ge atoms into the pits serving as a drain.

The results in the field of system software stacks optimization for distributed computing systems based on the process management Interface (PMI) are obtained. Algorithms for synchronizing access to shared memory with a predominance of reading operations which are typical for PMIx implementation,are considered. The locking schemes N(mutex+signal) are proposed.

To assess the potential capabilities of computer systems, feasibility indicators for solving problems are used. These indicators characterize the quality of the systems taking into account reliability and parameters of incoming tasks. One of the modes of computer systems functioning is the task flow servicing mode. Due to the peculiarities of this mode, when analyzing the functioning of computer systems, they are considered as a stochastic object, which in turn is well studied by stochastic methods. The paper proposes a mathematical model for calculating feasibility indicators for solving tasks in servicing mode of task flow on computer systems with accumulator storage. The model is constructed within the framework of queuing theory. Analytical solutions for assessing the fullness of accumulator storage are obtained.

The article presents the principles of sea-based fiber-optic system construction for data collection and transmission intended for two-way information exchange between underwater stations and a hardware and software complex with a controlled flow of information, control of equipment of bottom modules and an apparatus-software module. Methods of the main parameters control of underwater stations are proposed. The basic principles of monitoring the physical transmission medium are analyzed. At the same time, the necessity of using a coherent optical reflectometer is justified that makes it possible to improve the sensitivity of monitoring the quantum limit due to deep detection.

The article proposes a method for user authentication based on formant characteristics. A biometric image has been developed consisting of the formant characteristics of 46 sounds of the Russian language (6 vowels, 4 diphthongs and 36 consonants). An authentication system architecture based on formant characteristics and frequency of the leading formant of vowels and consonants is proposed. A Module for extracting the formant characteristics of vowels and consonants has been developed. A block diagram of the Module for extracting the formant characteristics of vowels and consonants and block diagrams of its submodules are presented. The Random Forest algorithm, k-nearest neighbors, logistic regression, multilayer perceptron and Support Vector Machine are combined into a cluster of algorithms. A block diagram of training and testing models based on a cluster of algorithms is given. Models were trained on the basis of algorithms clusters. The results of the experiment were obtained and their analysis was carried out.

The article examines the process of dictionary data design, which are sets of lexical units with specific information about them. The methods for creating indexing and search dictionaries are described, which enable efficient organization of search in textual data using specialized indexes.

The article deals with the issues of non-linear acoustics. A mathematical model of non-linear distortions of the acoustic path has been compiled in relation to the operation of a loudspeaker in a piston mode. The results of experimental measurements are presented and analyzed. Recommendations are given to reduce distortion in the construction of high-quality acoustic systems.

The occurrence of correlations between radio signals arriving at the antenna array of the base station reduces the effectiveness of subspace methods for positioning user devices in wireless communication networks. For the purpose of radiation sources decorrelation, a spatial smoothing algorithm can be applied dividing the base station antenna array into sub-arrays and then averaging the signal correlation matrices obtained for these sub-arrays. In this paper, we investigate the impact of various ways of dividing a flat equidistant antenna array into subarrays on the performance of the 2D-MUSIC multiple signal classification method in the scenario of ultra-dense networks operating in the FR2 band.

This paper presents the numerical evaluation of the ZF beamforming algorithm and DFT precoding using the LS channel estimation in the multiuser multiantenna (MU-MIMO) downlink system. The sum rate performance depending on a number of users are presented. The arising inter user correlation degrades the sum rate (spectral efficiency) performance of multiuser MIMO system especially in scenarios where the number of users is larger than the number of antennas at the BS. For MIMO channel simulation the QuaDRiGa channel model reflecting the real propagation conditions is used. The obtained performance of MU-MIMO ZF precoding in spatially correlated channel are compared with DFT precoding based on the empirical cumulative density function of the sum rate of multiple users. Numerical results show that the ZF precoder outperforms the DFT precoder in channel with less spatial correlation. The DFT precoder in spatially more correlated channel has advantage over ZF precoder.

This article is the second stage of creating and researching a technology for assessing the quality of contact work at a university implemented through webinars. The mathematical support of the intelligent technology for analyzing the audio-video stream of an educational webinar recording is considered. The problem of increasing the efficiency and reliability of assessing some indicators of the quality of contact work at the Faculty of Distance Learning of SibSUTIS implemented through distance learning webinars is being solved. Machine learning methods and their implementation using standard Python modules and libraries are used for analysis. The scientific significance of the work lies in the development of new models and algorithms for intelligent analysis of audio-video streams parameterized for processing the recording of an educational event. The developed models and algorithms make it possible to increase the efficiency of the process of assessing the quality of contact work implemented through webinars.