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Возможности и перспективы применения методов искусственного интеллекта для решения краевых задач математической физики в инженерной практике
Нейрокомпьютеры: разработка, применение. 2019. Т. 21. № 2. С. 16–31.
Yasnitsky L., Гладкий С. Л.
Translator: И. Никитенко
The history of evolution of methods for solving boundary value problems of solid mechanics is traced, the comparative analysis of methods from the point of view of reliability of the obtained solutions is carried out. An attempt is made to develop the method of fictitious canonical domains by applying the technology of genetic algorithms. On the example of the boundary value problem of elasticity theory it is shown that the use of genetic optimization algorithm instead of gradient allows to significantly reduce the error of solving boundary value problems performed by the method of fictitious canonical domains.
Keywords: boundary value problem, elasticity theory, analytical method, numerical method, error, artificial intelligence, genetic algorithm
Priority areas:
IT and mathematics
Language:
Russian
Springer, 2026.
This book presents established and new research on the close connections between graph games and systems of logic, particularly existing and newly designed modal logics. The volume utilizes two graph games – the sabotage game and the hide-and-seek game – to demonstrate the natural interplay between designing new graph games and exploring new kinds of ...
Added: June 30, 2026
Pochinka O., Barinova M., Journal of Geometry and Physics 2026 Vol. 228 P. 1–8
In the present paper we consider an Ω-stable 3-diffeomorphism with a solid or thickened surfaced non-trivial basic set. Such basic sets include, for instance, all one-dimensional expanding attractors and those two-dimensional basic sets that are not expanding. We prove that the chain recurrent set of every such a diffeomorphism necessarily contains at least two non-trivial ...
Added: June 30, 2026
German O., Illarionov A., Известия РАН. Серия математическая 2026 Т. 90 № 3 С. 3–18
Пусть симплекс с целочисленными вершинами - содержащий ровно одну целочисленную точку, отличную от своих вершин. В работе доказывается, что если точка находится во внутренности симплекса или в относительной внутренности некоторой гиперграни симплекса, то объем симплекса ограничен величиной, зависящей только от размерности, в противном случае объем симплекса может быть сколь угодно большим. Этот результат применяется для вывода асимптотической формулы для среднего числа вершин полиэдров ...
Added: June 29, 2026
Netherlands: ScienceDirect, 2025.
No ...
Added: June 28, 2026
Seidel A., Weske M., Montali M. et al., Information Systems 2026 Vol. 141 Article 102728
Business process management employs process models and event logs to represent the behavior of the information systems under study. Traditional case-centric notions consider the order of activities and events in isolated process instances. The emerging field of object-centric processes challenges this assumption by putting objects in the center. Object-centric process mining and modeling approaches identify ...
Added: June 27, 2026
IEEE, 2024.
A.S. Popov Russian Science and Technical Society with support from V. A. Trapeznikov Institute of Control Sciences, V.A. Kotelnikov Institute of Radio Engineering and Electronics, Autex Ltd. is leading the ХХVIII International Conference «Digital Signal Processing and its Applications — DSPA-2024» ...
Added: June 27, 2026
Ivchenko A., Дворкович А. В., Телекоммуникации 2020 Т. 12 С. 2–11
Dynamic Adaptive Streaming over HTTP (DASH) technology powers most multimedia services. Its specific features (re-buffering, quality switching, etc.) necessitate the development of specialized methods for assessing user subjective quality of experience (QoE) based on objective parameters. This article examines the impact of various metrics on QoE and presents assessment models with Spearman correlation coefficients up ...
Added: June 27, 2026
Ivchenko A., Nigmatullin R. R., Dorokhin S. V., Mathematics 2021 Vol. 9 No. 4 Article 381
n this paper, we focus on the generalization of the Hurst empirical law and suggest a set of reduced parameters for quantitative description of long-time series. These series are usually considered as a specific response of a complex system (economic, geophysical, electromagnetic and other systems), where successive fixations of external factors become impossible. We consider ...
Added: June 27, 2026
Капитонов И. А., Москвитин О. А., Современное профессиональное образование 2026 № 5 С. 55–57
В статье рассматривается проблема институциональной неготовности российской системы образования и науки к массовому распространению генеративного искусственного интеллекта. Авторы фиксируют парадоксальную асимметрию: студенты и аспиранты активно применяют ИИ для делегирования текстопроизводства, тогда как научно-педагогические работники в большинстве своём не используют его как исследовательский инструмент. Показано, что в основе этой асимметрии лежит не «злой умысел» участников, а ...
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Piontkovski D., / Series arXiv "math". 2026.
A noncommutative projective variety is defined, following Artin and Zhang, by a graded coherent algebra 𝐴. The category of coherent sheaves is then the quotient qgr(𝐴) of the category of finitely presented graded modules by the subcategory of torsion modules. We consider the categorical and polynomial entropies of the Serre twist, that is, of the ...
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Piontkovski D., / Series arXiv "math". 2025.
If a symmetric multilinear algebra is weakly nil, then it is Engel. This result may be regarded as an infinite-dimensional analogue of the well-known Jacobian theorem, which states that if a polynomial mapping has a polynomial inverse, then its Jacobian matrix is invertible. This refines a theorem of Gerstenhaber and partially answers a question posed ...
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Pruzhinin B. I., Afanasov N., Буданов В. Г. et al., Вопросы философии 2026 № 5 С. 5–35
In December 2025, the Institute of Philosophy of the Russian Academy of Sciences hosted an international roundtable on the topic “Social Programming as a Methodological Tool of Network Self-Organization: Problems and Trends”.
The roundtable was organized by the journal “Voprosy Filosofii” and representatives of the research project No. 25-28-00707, “Social Programming as a Problem of Network ...
Added: June 18, 2026
Barkhatova L., Социологические исследования 2026 № 5 С. 71–83
The article conceptualizes the methodological potential of hyperlink network analysis as a tool of empirical reconstruction of social interaction through digital traces. Using the partnership network of Russia’s artificial intelligence (AI) ecosystem as a case, the paper presents an original analytical framework for translating technical hyperlink data into sociological categories. The study describes a full ...
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Butorova A., Bobakov V., Sergeev A. et al., European Physical Journal: Special Topics 2026 P. 1–19
This paper presents a review of artificial intelligence (AI) methods for failure prediction in data center cooling systems, with a focus on the integration of digital twins (DTs), physics-informed learning, and graph-based models. Positioned within complex network science, this review addresses a limitation of conventional graph approaches—their reliance on pairwise connectivity—whereas real-world failures often arise ...
Added: June 10, 2026
Orazmetova Dilara, Zhohov A., Vasilieva Sofia et al., , in: 2026 28th International Conference on Digital Signal Processing and its Applications (DSPA).: IEEE, 2026. P. 1–5.
The article presents a software-hardware approach for an intelligent camera trap designed for the automatic detection of stray animals in a video stream using digital image processing methods and neural network algorithms implemented on an embedded computing platform. The system architecture, video signal processing algorithms, features of adapting a neural network model to conditions of ...
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Seul: PMLR, 2026.
Added: June 4, 2026
Москвитин О. А., Лебединский В. И., В кн.: Цифровое общество: состояние, проблемы, перспективы.: [б.и.], 2026.
В статье анализируются правовые и организационные основы функционирования государственных информационных систем «Антикартель» и «ТАРИФ», созданных Федеральной антимонопольной службой России в рамках цифровой трансформации контрольно-надзорной деятельности. Исследуются возможности использования технологий искусственного интеллекта для выявления антиконкурентных соглашений и обеспечения эффективного тарифного регулирования. Выявляются отдельные возможные правовые риски и направления совершенствования использования ГИС. ...
Added: June 2, 2026
Shipilov F., Barnyakov A., Ivanov A. et al., / Series Physics "arxiv.org". 2026.
A fast simulation of the detector response is a vital task in high-energy physics (HEP). Traditional Monte-Carlo methods form the backbone of modern particle physics simulation software but are computationally expensive. We present a machine-learning-based approach to fast simulation of the Focusing Aerogel Ring Imaging Cherenkov (FARICH) detector response. Given a particle track and momentum, ...
Added: May 19, 2026
Федоров Н. С., Финансовый журнал 2025 Т. 17 № 6 С. 99–112
The DCF model is one of the most commonly used models in valuing companies for investment deci sions. Nevertheless, estimating the accuracy of this model remains an important research question. This article presents an assessment of the accuracy of DCF model specifications based on analyzing the variance of fair share prices of companies listed on ...
Added: May 15, 2026
Федоров Н. С., Финансы и бизнес 2025 Т. 21 № 3 С. 34–50
Currently, the role of artificial intelligence is increasingly playing a significant role in various fields, including the increasing role of machine learning in finance. On the other hand, company valuation remains an important part of research due to its difficulty in correctly predicting the accuracy of target stock prices. This study provides an analysis of ...
Added: May 15, 2026
М.: Экономический факультет МГУ им. М.В. Ломоносова, 2026.
В сборнике приводятся тексты лучших докладов участников Международной ежегодной научной конференции «Ломоносовские чтения-2025» (секция экономи ческих наук) «Настоящее и будущее социально-экономического развития: потен циал ИИ и новые вызовы», состоявшейся 9–11 апреля 2025 г. на экономическом факультете МГУ имени М. В. Ломоносова. Материалы сгруппированы по тематическим направлениям. ...
Added: May 12, 2026
Kirsanova E., Pakshin P., Право и экономика 2026 № 3 (456) С. 26–34
The article examines the legal regime of intellectual property created by artificial intelligence. Changes to the existing legal framework towards recognizing artificial intelligence as a legal entity would violate the rationale and fundamental principles of the intellectual property rights system. This article provides an overview of different views on the rationale for granting copyright to ...
Added: April 28, 2026
Derkacheva A., Sakirkina M., Kraev G. et al., /. 2026.
Comprehensive data on natural hazards and their consequences are crucial for effective for risk assessment, adaptation planning, and emergency response. However, many countries face challenges with fragmented, inconsistent, and inaccessible data, particularly regarding local-scale events. To address this data gap in Russia, we developed an end-to-end processing pipeline that scrapes news from various online sources, ...
Added: April 28, 2026
Kychkin A., Chernitsin I., Прикладная информатика 2026 № 1(121) С. 40–58
The results of the development of a software microservice embedded in atmospheric air quality monitoring systems to support the identification of industrial pollution sources are presented. The emission and subsequent spread of harmful substances in the lower layers of the atmosphere is dynamic and characterized by high uncertainty due to the specific features of technological ...
Added: April 23, 2026