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ИИ: почему математика? Предисловие главного редактора
Доклады Российской академии наук. Математика, информатика, процессы управления (ранее - Доклады Академии Наук. Математика). 2022. Т. 508. № 1. С. 3–5.
Semenov A.
Ratnikov F., European Physical Journal: Special Topics 2026 P. 1–10
EEG recordings are often affected by the loss or corruption of individual channels due to electrode detachment, poor scalp contact, or external interference. Such channels must be accurately reconstructed before further analysis. In this study, we investigate Next-Generation Reservoir Computing (NG-RC) as a data-driven approach for reconstructing corrupted EEG channels and compare its performance with ...
Added: August 12, 2026
Speranski S. O., Математические заметки 2026 Т. 120 № 3 С. 470–483
We show that, in terms of closure ordinals, many infinitary calculi for ‘first-order’ logics of probability (i.e., for languages similar to those in [Abadi & Halpern 1994]) are as hard as possible: the corresponding closure ordinals coincide with the least non-constructive ordinal, denoted by $\omega_1^{\mathrm{CK}}$. ...
Added: August 12, 2026
Minets M., Krasnozhenov G., Trofimova E. et al., PeerJ Computer Science 2026 Vol. 12 Article e4063
This article presents CAD2TechSpec, a novel framework for automating design processes within computer-aided design (CAD) systems by leveraging multimodal large language models (LLMs). The framework enables the analysis and generation of detailed design specifications, including the automated creation of machining process plans. Our system architecture combines 3D model rendering, dimensionality reduction techniques, and the capabilities ...
Added: August 12, 2026
Мизинов П. В., Journal of Computer Virology and Hacking Techniques 2023 No. 20 P. 383–396
Biometric vein recognition systems are vulnerable to presentation attacks. Traditionally, researchers have used a near-infrared (NIR) drawing of the user’s vascular bed to create a presentation attack instrument (PAI). This paper investigates the feasibility of using free software to capture a venous pattern of the hand without NIR under normal lighting conditions and to create ...
Added: August 11, 2026
Ali S., Bocharnikov V., Ratnikov F. et al., Sensors 2026 Vol. 26 No. 16 Article 5024
Large distributed sensor arrays require repeated recalibration as radiation damage, material aging, gain variation, and readout drift alter channel responses. We studied a high-granularity calorimeter as a large sensor array and addressed unsupervised recalibration from two unpaired datasets: a nominal reference response and an aged response with attenuated cell-wise signals. Aging was modeled by a ...
Added: August 11, 2026
Puchkov E., Knyaginina N., М.: Национальный исследовательский университет "Высшая школа экономики", 2026.
The report examines the ecosystem supporting the development of social entrepreneurship in Europe. It considers the historical evolution of the sector, the approaches adopted by the European Union and individual countries to defining and recognising social enterprises, and the differences between European and Russian models. Particular attention is paid to the role of social enterprises ...
Added: August 11, 2026
Mehrotra S. K., Singh A. P., IZA Discussion Paper, 2026.
Under what institutional conditions do qualifications frameworks become trusted mechanisms for progression, mobility, and labour-market signalling? This paper starts with this question, and then examines the evolution of India’s qualifications architecture through the trajectory of the National Skills Qualification Framework (NSQF) and the emergence of the National Credit Framework (NCrF). More specifically, it addresses the ...
Added: August 10, 2026
Trubochkina N. K., М.: Издательство «Юрайт», 2026.
This textbook is designed to develop students' holistic understanding of modern production processes and methods for their analysis and management using machine learning technologies. In the context of the fourth industrial revolution, where traditional engineering disciplines are inextricably intertwined with intelligent data processing methods, there is a growing need for specialists capable of integrating knowledge ...
Added: August 8, 2026
Kulev Y., Maksaev A., Promyslov V., Linear Algebra and its Applications 2026 Vol. 730 P. 51–72
The notion of λ-th upper scrambling index was introduced by Huang and Liu in 2010, as a generalization of a notion considered by Akelbek and Kirkland in 2009. For a primitive digraph D, it is defined as the smallest positive integer k such that for every λ vertices of D there exist directed paths of lengths k from these vertices to a common vertex. This ...
Added: August 7, 2026
Kanunnikov A., Promyslov V., Vassilieva E., Electronic Journal of Combinatorics 2024 Vol. 31 No. 3 Article P3.6
Introduced by Goulden and Jackson in their 1996 paper, the matchings-Jack conjecture and the hypermap-Jack conjecture (also known as the b-conjecture) are two major open questions relating Jack symmetric functions, the representation theory of the symmetric groups and combinatorial maps. They show that the coefficients in the power sum expansion of some Cauchy sum for ...
Added: August 7, 2026
L.: Routledge, 2026.
This volume explores how generative artificial intelligence is reshaping universities worldwide. Rather than focusing only on the technology, it shows how Artificial Intelligence (AI) is changing how students learn, teachers teach, and institutions operate, while also being shaped by cultural values, educational traditions, and social expectations.
Bringing together international case studies from regions including Europe, the ...
Added: August 6, 2026
Ulgen H., Journal of International Students 2026 Vol. 16 No. 17 P. 283–312
This study reports a secondary analysis of phenomenologically informed, semistructured interviews with 15 Turkish undergraduate and graduate students at three universities in Moscow and examines how peer networks function beyond emotional buffering to support academic engagement and institutional navigation in Russian–medium higher education. Drawing on social support theory, communities of practice, and community cultural wealth ...
Added: August 5, 2026
Фирсанова В. И., ACM, 2026.
The inclusion of autistic people can be augmented by a mobile app that provides information without a human mediator making information perception more liberating for people in the spectrum. This paper is an overview of a doctoral work dedicated to the development of a web-based mobile tool for supporting the inclusion of people on the ...
Added: August 4, 2026
Фирсанова В. И., Хлусова Я. К., CEUR Workshop Proceedings, 2025.
Knowledge graphs are widely used in Retrieval Augmented Generation (RAG) and Explainable AI (XAI), since they can illustrate semantic relationships generated by Large Language Models (LLMs). Recent studies focus on generating knowledge graphs from unstructured data to improve RAG performance; however, they do not explain the underlying graph structure. The analysis of synthetic graphs behind ...
Added: August 4, 2026
Spiridonov V. P., Belousov N. M., Sarkissian G. A., Analysis and Mathematical Physics 2026 Vol. 16 Article 96
Hyperbolic hypergeometric integrals are defined as Barnes-type integrals of products of hyperbolic gamma functions. Their reduction to ordinary hypergeometric functions is well known. We study in detail their degeneration to complex hypergeometric functions. Namely, using uniform bounds on the integrands, we prove that the univariate hyperbolic beta integral and the conical function degenerate to two-dimensional ...
Added: August 4, 2026
Gayfullin S., Kikteva V., Results in Mathematics 2026 Vol. 81 No. 5 Article 146
In this paper we obtain a criterion of flexibility for an affine complexity-zero horospherical variety. This result generalizes previously known results on flexibility of normal horospherical varieties, horospherical varieties with an action of a semisimple group, and non-normal toric varieties. ...
Added: August 3, 2026
Iskakova B., Kleinlein E. V., Prisyazhniuk D. et al., European Journal of Education 2026 Vol. 61 No. 3 Article e70810
This study examines pre-service teachers' (PSTs) attitudes towards inclusive education in Germany and Russia and investigates how they relate to teacher training curricula and teacher educators' discourse. A mixed-methods design was used, including an online survey of PSTs (n = 460) with an open-ended question, curriculum review and exploratory interviews with university educators in both contexts. The ...
Added: August 3, 2026
Lunts V., Функциональный анализ и его приложения 2026 Т. 60 № 3 С. 127–129
Доказано, что канонические полуортогональные разложения производной категории диаграммной схемы индуцируют аналогичные разложения подкатегории совершенных комплексов. ...
Added: August 3, 2026
Belomestny D., Gasnikov A., Gladin E. et al., Russian Mathematical Surveys 2026 Vol. 81 No. 4(490) P. 3–90
Reinforcement learning (RL) is increasingly grounded in tools from probability, optimization, and operator theory. This survey organizes the mathematical structures that underpin the design and analysis of modern algorithms in RL. We begin from Markov decision processes (MDPs) and the Bellman operators, emphasizing contraction mappings, monotonicity, and fixed-point theory that yield convergence guarantees and rates ...
Added: August 3, 2026
Chepovskiy A., М.: Мастерская Печати Идей, 2026.
The textbook presents methods and algoгithms for automatic analysis
of соrроrа of texts in natural languages. It is intended fоr sfudenБ of
methods of processing texts in паtчrаl languages and creating training
arays of texts.
Fоr students, graduate students and researchers studying methods
of computational linguistics and word processing. ...
Added: August 1, 2026
A. Radomskii, Mathematical notes 2026 Vol. 119 No. 6 P. 1136–1147
We obtain an upper bound for the sum $\sum_{n\leq N} (a_{n}/\varphi (a_{n}))^{s}$, where $\varphi$ is Euler's totient function, $s\in\mathbb{N}$, and $a_{1},\ldots, a_{N}$ are positive integers (not necessarily distinct) with some restrictions. As applications, for any $t>0$, we obtain an upper bound for the number of $n\in [1,N]$ such that $a_{n}/ \varphi (a_{n})> t$. ...
Added: July 31, 2026
Kanaev E., Southeast Asia: Actual Problems of Development 2026 Vol. 1 No. 1(70) P. 153–163
The article aims to specify the degree of success Cambodia has been able to achieve in developing its Artificial Intelligence (AI) ecosystem seen through the prism of the state of the country’s non-digital assets as an outcome of its economic modernization, as well as of its digital projects and initiatives. Outlining the specifics of Cambodia’s ...
Added: July 30, 2026
Kanaev E., Southeast Asia: Actual Problems of Development 2026 Vol. 2 No. 2(71) P. 11–22
The author focuses on a strengthening digital component in the evolution of the South China Sea issue in the context of ASEAN’s evolving approach to the deepening contradictions and its policy in the digital field. On outlining ASEAN’s policy on the South China Sea issue, the author proceeds to exploring the digital agenda of ASEAN’s ...
Added: July 30, 2026
Степанов С. К., Иноземцев М. И., Закон 2026 № 7 С. 193–203
In 2022, the European Commission introduced a draft directive on liability for harm caused through the use of artificial intelligence systems. The hallmark of the proposal lies in its decision to retain a fault-based liability regime, even when harm arises in connection with the deployment of AI technologies. The draft further includes several procedural mechanisms ...
Added: July 27, 2026