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Subject
News
July 24, 2026
‘I Like Self-Fulfilling Prophecies
Andrey Vorchik studies happiness, delivers popular science lectures, and believes that science should address social issues as well. In an interview for the Young Scientists of HSE University project, he spoke about how emotions influence decision-making, the Bermuda Triangle formed by the bathroom, refrigerator, and bed, and the ideal formula for education.
July 24, 2026
'Physics Is What the World Is Literally Built On'
Physicist Nina Dzhanayeva, recipient of a Vladimir Potanin Foundation scholarship, focuses her research on nanophotonics. In this interview for the HSE Young Scientists project, she discusses nanowells, scientific intuition, and how physics can help in making frangipane cream puffs.
July 20, 2026
Scientists Create Open Dataset for Studying Concentration
A team of Russian researchers, including scientists from HSE University–St Petersburg, has developed the first open multimodal dataset containing recordings of brain activity, heart function, and video observations to help researchers understand what happens in the human brain during deep concentration. In the future, the dataset could accelerate the development of neural interfaces, rehabilitation technologies, and AI systems. The article has been published in Scientific Data.

 

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Цифровой ковчег знаний

Доклады Российской академии наук. Математика, информатика, процессы управления (ранее - Доклады Академии Наук. Математика). 2022. Т. 508. № 1. С. 128–133.
Горячко В. В., Бубнов А. С., Раевский Е. Н., А. Л. Семенов
Research target: Mathematics Computer Science
Language: Russian
Full text
DOI
Keywords: математикапрофессиональное сообществоэнциклопедиявикипедияБРЭрасширенная личностьрасширенное сознаниеколлективное знаниеоткрытые общедоступные информационные ресурсыМГУ им. М.В. Ломоносова
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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
Joint Proceedings of the ESWC 2025 Workshops and Tutorials co-located with 22nd Extended Semantic Web Conference (ESWC 2025), Portorož, Slovenia, June 1-2, 2025.
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
From hyperbolic to complex Euler integrals
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
Flexibility criterion for affine horospherical varieties
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
О полуортогональных разложениях производных категорий диаграммных схем
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. ...
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Mathematical methods of reinforcement learning
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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 ...
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Chepovskiy A., Мастерская Печати Идей, 2026.
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Sums Related to Euler's Totient Function
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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 $a_{n}/ \varphi (a_{n})> t$. ...
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Квадратичный закон взаимности и его обобщения
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This paper is expository and methodological in nature and is devoted to the development of E.I. Zolotarev’s ideas embedded in his approach to the proof of the quadratic reciprocity law (1872). We consider extensions of Zolotarev’s approach to abstract number rings presented in the work of A. Brunyate and P.L. Clark (2015), and to finite ...
Added: July 30, 2026
Three Algorithms for Merging Hierarchical Navigable Small World Graphs
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This paper addresses the challenge of merging hierarchical navigable small world (HNSW) graphs, a critical operation for distributed systems, incremental indexing, and database compaction. We propose three algorithms for this task: Naive Graph Merge (NGM), Intra Graph Traversal Merge (IGTM), and Cross Graph Traversal Merge (CGTM). These algorithms differ in their approach to vertex selection ...
Added: July 30, 2026
Профессиональная верификация: Руководство по продвинутой функциональной верификации
Уилкокс П., Romanov A., М.: ДМК Пресс, 2025.
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Added: July 29, 2026
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In a recent paper Buchstaber and the author introduced a new structure on the cohomology of Hopf algebras in terms of the Buchstaber spectral sequence (Bss). We fully calculate this structure on the cohomology (known for a long time) of the important Hopf subalgebra A(1) of the classical Steenrod algebra A2. As part of a demonstration ...
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A theoretically sound approach to adaptive client-side video fragment restoration is proposed using machine learning and scene analysis methods. The method includes a formal problem statement, a finite-state machine model for decision making, a restoration cost function, and a new stage in video preparation: scene dynamics assessment followed by recording a feature in an HLS playlist. This feature ...
Added: July 27, 2026
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Added: July 27, 2026
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Added: May 11, 2026
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The textbook covers the basic parts of fuzzy set theory as fuzzy relations, fuzzy numbers, fuzzy logical inference, and applications of fuzzy mathematics to data analysis (fuzzy regression, fuzzy clustering, fuzzy classification) and decision making (fuzzy optimization, multicriteria decisions based on fuzzy data, fuzzy data ranking, fuzzy modeling). Each chapter ends with a section of ...
Added: April 3, 2026
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Panov V., М.: Издательский дом НИУ ВШЭ, 2026.
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Added: March 27, 2026
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Added: January 16, 2026
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This article discusses the goals and objectives, recommendations for the use of intelligent information systems in the training of mathematics teachers on the basis of additional education. A comparative analysis of information systems and intelligent information systems is provided. Problems in the use of intelligent information systems in education are considered. ...
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Гиляровская А. В., Рудько Ю. С., Salimova A. et al., М.: Издательский дом НИУ ВШЭ, 2026.
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Added: November 30, 2025
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Гиляровская А. В., Рудько Ю. С., Salimova A. et al., М.: Издательский дом НИУ ВШЭ, 2026.
Настоящее пособие предназначено для учащихся 9-х классов, которые планируют поступать в 10-й класс Лицея НИУ ВШЭ. В пособии приведены демоварианты первого и второго этапов вступительных испытаний в 10-й класс Лицея НИУ ВШЭ, разборы заданий из этих вариантов, описаны критерии оценивания. Представлены варианты для самостоятельной подготовки к первому и второму этапам вступительных испытаний в 10-й класс. ...
Added: November 26, 2025
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