It is noted in the paper that fast neural networks (FNN) are self-similar to the fast Fourier transform (FFT) algorithm. A method for constructing a matrix form of a fast transformation algorithm is presented. The factorizability of the elements of the FNN matrix by the elements of neural cores is proved. A method of multiplicative factorization of arbitrary one-dimensional images is proposed. It is shown that due to their structure, fast neural networks have special learning algorithms that are fundamentally different from the classic ErrorBackPropagation by the absence of a mechanism for error back propagation. The considered algorithms for teaching FNN are based on the methods of multiplicative factorization of images and fast transformations proposed in the work. Examples of network tuning to the orthogonal Hadamard basis, Fourier basis, as well as the FNN implementation of the Cantor and Sierpinski quasifractals are shown. A method of tuning fast transformations to a reference function based on the method of fractal filtering of signals is described. A method for tuning orthogonal adapted transformations is proposed. Examples are given. This work is the second part of the generalizing article "Fast transformations and self-similar neural networks of deep learning". In the first part, stratified models of self-similar neural networks are considered.

For efficient use of supercomputer resources, it is necessary to constantly analyze various aspects of the quality of modern high-performance systems. One of the most important aspects is the efficiency of execution of parallel applications running on a supercomputer. And in to study this aspect, it is often useful to have information about how different applications are similar to each other. Previously, we proposed two approaches to comparing applications: based on static information about executable files, as well as the behavior during execution. In this paper, we will show two practical methods for applying these approaches: clustering and predicting metrics for assessing the quality of the use of supercomputer resources. Using clustering, we will show how abnormal groups of job launches can be detected, for example, within the entire flow of supercomputing applications or within the launches of a single user. Using the prediction of metrics for assessing the quality of use of supercomputer resources, it will be shown how, while minimizing the impact on running applications, to collect statistics on the efficiency of user applications. These methods were successfully tested on a petaflop supercomputer Lomonosov-2.

The paper discusses issues of structuring knowledge in the field of energy research and proposes a system of ontologies to provide access to knowledge and information using the developed ontological portal of scientific knowledge. The scientific knowledge portal for energy research is being developed on the basis of the technology for constructing scientific knowledge portals developed at the A.P. Ershov Institute of Informatics Systems SB RAS in Novosibirsk. The proposed ontologies system is formed taking into account the systems approach as a general methodology for systems research carried out at the Melentiev Energy Systems Institute SB RAS (MESI SB RAS). Examples of ontologies are given that reflect the relationships between areas of research and the complex structure of research objects.

The article presents ontologies of the subject area “Anthropogenic air pollution”, describing classes of pollution sources, causes and types of pollutants, indicators of atmospheric air quality with an indication of the factors influencing it and methods of the designed information system. Based on ontologies, an information system database will be formed. To assess the level of atmospheric pollution, a model of an aggregate complex indicator is proposed, taking into account the maximum permissible concentrations and the number of times they exceed the actual average annual concentrations of pollutants, their hazard class and annual emission masses, and the distance from the emission source.

Abstract. The failure in the development of the electric power industry in the nineties of the last century in our country contributed to a decrease in the activity of the introduction of modern technologies and equipment at thermal power plants. The transition to market relations and approaches to tariff regulation today contribute to the formation of a shortage of financial resources, do not sufficiently allow updating the production funds of energy enterprises. In such a situation, there is an increasing interest in low–cost ways to modernize existing TPP equipment - the search and implementation of ways to increase its efficiency with small capital investments. The main tool for solving this problem are methods of mathematical modeling and circuit parametric optimization. 
This paper presents a methodological approach to assessing the effectiveness of the comprehensive modernization of technological schemes of existing thermal power plants (TEP), which systematizes the process of searching for possible ways to improve their efficiency, and also allows for an accurate and prompt assessment of the technical solutions under consideration. This approach consists of three stages and combines the primary solution of the problems of identifying the parameters of mathematical models of operating thermal power plants with the subsequent solution of optimization problems of their technological schemes. As examples of the practical application of the considered methodological approach, this paper presents technical solutions aimed at improving the efficiency of the operating power unit No. 5 of the CHPP-10 of Baikal Energy Company LLC.

In this work, we use numerical modeling, to study the behavior of reacting media with a stochastic spatial distribution of reactivity. The aim is to determine the boundaries of thermal stability and ignition behavior under supercritical conditions for such systems. These problems are solved numerically using the Monte Carlo method. The simulation results are analyzed and the statistical characteristics of ignition processes in stationary and non-stationary settings are assessed. The results of the work can be useful in analyzing the behavior of chemical systems with a random distribution of reacting components.

The article presents the results of a study of the intensity of water consumption by various types of water collection devices (kitchen sink and bath faucets (shower cabin), toilet bowl with flush tank, washing machine and dishwasher) using water from the water supply system. The evaluation of the theoretical laws of the distribution of the value of the second water flow and their parameters is carried out. The homogeneity of empirical samples of the values of the second water flow and theoretical distribution laws is estimated. The choice of the best theoretical distribution laws is made at the significance level α = 0.05. As a result of the study, a classification of water sampling devices was proposed according to the variability of the intensity of water consumption, as well as the theoretical distribution laws that best describe the intensity of water consumption by various types of water sampling devices were evaluated and justified.

The article presents an assessment of the attractiveness of an investment project, which can significantly influence the model of strategically oriented design of innovative infrastructure of the enterprise LLC NPP Aviatron. An assessment of the investment project for the sale of Mega12-RM2400 Radio Modules was carried out within the framework of contractual relations with the company Byteks LLC. As a result of the assessment of the investment project, it was revealed that the model can be aimed at maximizing investments in this project. Thus, assessing the attractiveness of an investment project plays an important role in forming a model for strategically oriented design of an enterprise’s innovative infrastructure, defining priorities, goals and methods for managing financial resources.

The paper examines the possibilities of using a semantic approach, namely an ontological representation of information used in computer models designed to carry out research. The proposed methodological approach for assessing the cross-industry component of the coefficients of price elasticity of demand for electricity involves the use of a group of computer models developed by different specialists, each of which solves one or more specific problems. The use of semantic technologies in solving a given problem ensures the coordination of concepts, the integration of models and applications, as well as the structuring of knowledge and information. A semantic analysis of information flows between models was performed. Examples of developed graphic ontologies are given. Semantic technologies expand the possibilities of structuring information, exchanging data between processes, applications, specialists, and obtaining new knowledge.

This paper is the final article in the series devoted to the study of resilience of isolated local-level energy complexes or autonomous microgrids using the previously developed technology of a digital twin of a complex technical system. By resilience we mean the property of these energy complexes to adapt to large perturbations and restore their initial state after their impact. The study of resilience of these energy complexes of local level is usually based on multivariate computational experiments, however, if there is feedback of the digital twin with a microgrid or test bench, it is possible to use field experiments. The two-way communication between the digital twin and the microgrid is provided by a specialised subject-oriented environment. The paper demonstrates the application of the previously described methodology for assessing the resilience of an autonomous microgrid by analysing the vulnerability of the power supply system of a hypothetical tourist camp conditionally located on the shore of Lake Baikal and having no connections with external power systems. In particular, we searched for critical elements of this microgrid, consisting of photovoltaic converters, accumulator batteries and a diesel-generator set from the point of view of resilience. The computational experiments carried out showed that the critical elements of a given microgrid are the diesel generator set and the batteries. Further development of this work is seen in the improvement of methods and tools for the design of digital doubles of autonomous microgrids.

The article considers business process reengineering in conducting a fusion experiment based on infrastructural hardware platform of the common IT space for fusion research (FusionSpace). The paper is concerned with modeling business processes of work with fusion experimental data of participants at the micro- and macro-level AS IS, modeling the target state TO BE. Based on the features identified as a result of modeling, the requirements for the development of software for the analysis and visualisation of experimental data, interaction between the nodes of the prototype platform are formulated. The article is of interest to specialists engaged in the study of business processes in the framework of software development and

The article discusses the logistics transport routes for the supply of natural gas from Arctic region located on the shelf of the northern seas and the Yamal Peninsula. The description of the development of the transport network is given with the results of a comparative calculation of the unit cost of transporting gas in different phase states along different transport routes. The purpose of the study is to consider possible options for the delivery of hydrocarbon raw materials to the consumer with the lowest transport costs. The considered transport routes and the obtained preliminary data are applicable to solving linear programming problems. Schematically shows the supply of natural gas to consumers from the northern fields through the pipeline system in a compressed state and by sea in liquefied form. The fields of the western part of the Yamal Peninsula and the Nadym-Pur-Taz region are part of a single gas supply system, the fields of the eastern part of the Yamal Peninsula, the shelf and the western part of the Gydan Peninsula are removed from the existing gas infrastructure, which significantly complicates the monetization of finished products. Due to the close connection of the Arctic regions with the Arctic Ocean, shipping by sea is becoming an integral part of the development of offshore and coastal fields. Climatic conditions and underdeveloped infrastructure require a detailed study of possible transport routes, taking into account the reliability of the equipment involved in transport chains and the financial component of the relevant investment projects. In order to identify the optimal directions of gas supplies from an economic point of view, various route options are considered, including with a change in the phase state of the energy carrier. The author considers the integrated gas delivery route to the consumer, combining marine and pipeline gas transportation, suggests new supply routes, shows the methodology for preparing initial information, and performs calculations for existing, project and possible transport directions.

The paper is devoted to the development and subsequent software implementation of an approach to creating a virtual workspace with an intelligent adaptive interface. The paper discusses existing solutions for organizing virtual workspaces, formulates the basic requirements for a virtual workspace and proposes the structure of a software solution. A prototype of the software platform is demonstrated.

The article focuses on identifying informal urban areas based on data from news sources and social networks, utilizing geographical proximity as a criterion. A methodology for extracting geodata from texts for spatial clustering is proposed. Geographic names extracted from texts are transformed into geolocations through geocoding. The identified geopoints are then clustered by density, and a distribution of themes is determined for each cluster. This approach allows for an abstraction from administrative divisions to reveal clusters that are closer to the citizens' perception. The clustering results are promising for application in various urban infrastructure management tasks: monitoring public life, analyzing the quality of the urban environment, and public safety. The distinction of the proposed methodology lies in the synthesis of geodata for grouping objects. The software tools developed based on this methodology enable decision-making in the field of urban planning, including the development of city districts and transport infrastructure, the placement of socially significant objects, and ensuring safety.

The article discusses the modules responsible for cataloging and visualizing data in the agricultural monitoring system of the Federal Research Center KSC SB RAS. Features of the software implementation of these modules, component interaction diagrams, as well as the main capabilities of the system user interface are presented.