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News
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.
July 20, 2026
‘Science Is Universal-It Knows No Borders
Fuad Aleskerov, Tenured Professor and Director of the International Centre of Decision Choice and Analysis at HSE University, together with his colleagues, has developed methods of network analysis in bibliometrics that have made it possible to identify patterns in the appearance and citation of publications in academic journals, as well as their influence on each other. When one or a number of studies are frequently cited by a wide range of journals, this is an indicator that the research is of high quality. By contrast, extensive cross-citation within a limited group of journals increases the likelihood of identifying a network of predatory publications.
July 20, 2026
Scientists Propose Method for More Efficient Resource Use in Machine Learning
An international group of researchers, including mathematicians from the AI and Digital Science Institute at the HSE Faculty of Computer Science, has provided a theoretical justification for a simple and computationally efficient method of estimating uncertainty in Stochastic Gradient Descent (SGD). The paper has been published on the scientific preprint server arXiv.org and presented at AISTATS 2026.

 

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Евклидовы пространства

M. : miem, 2008.
Андреев К. К., Busjatskaja I.
Priority areas: IT and mathematics
Language: Russian
Full text
Keywords: метод наименьших квадратовЕвклидово пространствоскалярное произведениеортогональностьпроекцияортогонализация
Евклидовы пространства
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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 ...
Added: June 23, 2026
Multilinear nilalgebras and the Jacobian theorem
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 ...
Added: June 23, 2026
ML-based Fast Simulation of FARICH Responses
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
Natural hazard database from Internet publications: text mining with a large language model
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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
Algorithmic overlaps as thermodynamic variables: from local to cluster Monte Carlo dynamics in critical phenomena
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We investigate the spatial overlap of successive spin configurations in Markov chain Monte Carlo simulations using the local Metropolis algorithm and the Svendsen-Wang and Wolff cluster algorithms. We examine the dynamics of these algorithms for two models in different universality classes: the Ising model and the Potts model with three components. The overlap of two ...
Added: April 20, 2026
Using predefined vector systems to speed up neural network multimillion class classification
Gabdullin N., Androsov I., / Series Computer Science "arxiv.org". 2026.
Label prediction in neural networks (NNs) has O(n) complexity proportional to the number of classes. This holds true for classification using fully connected layers and cosine similarity with some set of class prototypes. In this paper we show that if NN latent space (LS) geometry is known and possesses specific properties, label prediction complexity can ...
Added: April 2, 2026
Iterative Ricci-Foster Curvature Flow with GMM-Based Edge Pruning: A Novel Approach to Community Detection
Sorokin K., Beketov M., Онучин А. et al., / arxiv.org. Серия cs.SI "Social and Information Networks ". 2025.
Community detection in complex networks is a fundamental problem, open to new approaches in various scientific settings. We introduce a novel community detection method, based on Ricci flow on graphs. Our technique iteratively updates edge weights (their metric lengths) according to their (combinatorial) Foster version of Ricci curvature computed from effective resistance distance between the ...
Added: January 15, 2026
Implementing Transport Coding in OMNeT++ for Message Delay Reduction
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Hessian-based lightweight neural network for brain vessel segmentation on a minimal training dataset
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Accurate segmentation of blood vessels in brain magnetic resonance angiography (MRA) is essential for successful surgical procedures, such as aneurysm repair or bypass surgery. Currently, annotation is primarily performed through manual segmentation or classical methods, such as the Frangi filter, which often lack sufficient accuracy. Neural networks have emerged as powerful tools for medical image ...
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Эффективный алгоритм торговли на фондовом рынке: ретроспективный анализ, основанный на данных по S&P-500.
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The article examines one of the most famous examples of socio-economic systems, characterized by significant uncertainty – the S&P-500 stock market, where shares of 500 largest US companies are traded. No assumptions are made about the probabilistic characteristics of the stock market. A flexible algorithm for daily trading has been developed, based on both known fixed data ...
Added: November 9, 2025
Introduction to signal processing: information transmission using orthogonal sine waves
Tikhonov E., Sneps-Sneppe M., International Journal of Open Information Technologies 2020 Vol. 8 No. 6 P. 51–42
Data transmission using orthogonal functions means combining base carrier signals (scaled by numbers of useful information) into one sent signal. Processing the mixed signal after receiving allows dividing it back into carriers and restoring useful numbers. What is the most compact set of complex sine waves for this? How will the random components of the spectrum ...
Added: April 9, 2022
Высшее образование как дифференцированный "товар": анализ структурных различий в формировании спроса
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В работе изучается структура рынка высшего образования в России на основе данных о ВУЗах Москвы и МО за 2019 год путем оценки функции спроса и тестирования ее на наличие структурных изменений. Анализ модели включает в себя оценивание уравнений регрессии с использованием метода наименьших квадратов и метода инструментальных переменных. Заимствуя идеи оценки функции спроса на рынке ...
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Факторы, влияющие на проекцию пресуппозиций в чувашском языке: Экспериментальное исследование
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В статье тестируются следующие лексические единицы литературного чувашского языка на предмет проекции пресуппозиции в утвердительном контексте, в контексте отрицания и в контексте условия: наречие каллех ‘опять’, союз та ‘тоже’, ментальные фактивные глаголы манса кай ‘забыть’ и пӗл ‘знать/узнать’, фазовый глагол пӗтер ‘закончить/заканчивать’. Согласно выдвинутой в работе Abusch (2002) гипотезе о делении триггеров пресуппозиций на жесткие ...
Added: November 23, 2020
О некоторых подходах к восстановлению графических изображений
Bulgakov S. A., В кн.: Современные проблемы математического моделирования, обработки изображений и параллельных вычисленийТ. 2.: Ростов н/Д: ООО "ДГТУ-Принт", 2017. С. 36–44.
The paper covers mathematical and heuristic approaches for solution the image restoration problem. Attention is paid to the least squares method, least absolute deviations, Tikhonov regularization, total variation, Wiener and Kalman filters, as well as matched filter. A description of a new method for constructing the maximum likelihood estimate is given. Such heuristic approaches as ...
Added: September 24, 2018
Weight and time recursions in dynamic state estimation problem with mixed-norm cost function
Akimov P. A., Matasov A. I., IEEE Transactions on Automatic Control 2015 Vol. 60 No. 4 P. 1050–1063
The mixed-norm cost functions arise in many applied optimization problems. As an important example, we consider the state estimation problem for a linear dynamic system under a nonclassical assumption that some entries of state vector admit jumps in their trajectories. The estimation problem is solved by means of mixed l1/l2-norm approximation. This approach combines the ...
Added: November 5, 2017
Применение метода наименьших квадратов для аппроксимации периодических процессов при построении прогнозов
Чирухин В. А., Записки Горного института 2014 Т. 208 С. 197–202
In the article the methods of processing of statistical data about periodic process by the least squares method with usage of Bessel functions and Fourie numbers are analyzed. The simple method for approximation with a choice of the fluctuation period, proceeding from a minimum of the estimated error is offered. ...
Added: October 31, 2017
Информационные технологии в дизайне модных шоу: вопрос удачного применения
Makarov S., Макарова Т. Л., В кн.: Дизайн, технологии и инновации в текстильной и легкой промышленности (ИННОВАЦИИ-2016): сборник материалов Международной научно-технической конференцииЧ. 4.: М.: ФГБОУ ВО "МГУДТ", 2016. С. 112–115.
В статье рассмотрен вопрос удачного применения информационных технологий в дизайне на примере нескольких проанализированных модных шоу. ...
Added: March 9, 2017
Новый метод оценки уровня конкуренции
Svetunkov S., В кн.: Методологические проблемы многоуровневой теории конкуренции.: СПб.: Левша-Санкт-Петербург, 2016. Гл. 9 С. 73–78.
A new approach to the analysis of the competitive situation on the market. It uses a Gaussian model. ...
Added: February 14, 2017
Звук, предмет, проекция: Витгенштейн и понимание музыки
Miroshnichenko M., Вестник Томского государственного университета. Философия. Социология. Политология 2015 Т. 4 № 32 С. 298–308
В статье рассматриваются темы предметов и проективного отношения в Логико-философском трактате Витгенштейна в отношении к опыту вслушивания в музыке ХХ века (Дж. Кейдж, Дж. Тенни, К. Кардью). Переопределяется понятие простого предмета как любого, что приобретает особую значимость в контексте теории клангов Дж. Тенни. Рассматривается проблематизация понятия проективного отношения на примере разрыва внутренних отношений проецируемого и ...
Added: November 20, 2016
Алгоритм формирования трехмерной модели элементов печатного узла
Veselov E. A., Качество. Инновации. Образование 2016 № 5 С. 42–46
The article discusses the optimization problem of small-scale production of electronic equipment in the field of quality control of surface mount printed circuit boards. Explores the possibility of developing devices with a minimal set means for fixing the defects of the printhead and with the maximum efficiency of the inspection. The text describes the algorithm for ...
Added: October 5, 2016
Сравнительный анализ стратегий хеджирования фьючерсами портфеля ценных бумаг
Lakshina V. V., Лапшина К. А., Финансы: теория и практика 2016 Т. 20 № 5 С. 105–114
Hedging is one of the most popular strategies for market risk management. Hedging is aimed at decreasing the volatility, or variability, of portfolio returns. The portfolio usually consists of the spot assets and hedging instruments. The latter can be represented by futures, options and over-the-counter assets such as forwards and swaps. While futures’ hedging is ...
Added: October 5, 2016
On Hurwitz--Severi numbers
Yurii Burman, Shapiro B., / Series math "arxiv.org". 2016. No. 06935.
For a point p in a complex projective plane and a triple (g,d,l) of non-negative integers we define a plane Hurwitz number of the Severi variety W_{g,d,l} consisting of all reduced irreducible plane curves of genus g and degree d+l having an l-fold node at p and at most ordinary nodes as singularities at the other points. In the ...
Added: July 5, 2016
Долговременное влияние летней жары 2010г. в Москве на здоровье населения
Gordin V. A., Сахарова Е. А., Профилактическая и клиническая медицина 2016 № 2(59) С. 14–20
The heatwave of July-August 2010 with an escort of noticeable air pollution (including smoke from peat fires) greatly affected the lives and health of the metropolis' residents. That is easily confirmed by mortality data and information about daily emergency calls. During this period strong peak may be observed both on general graphs and on particular ...
Added: March 9, 2016
Свертки по рангам и кватернионным типам в алгебрах Клиффорда
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In this paper we consider expressions in real and complex Clifford algebras, which we call contractions or averaging. We consider contractions of arbitrary Clifford algebra element. Each contraction is a sum of several summands with different basis elements of Clifford algebra. We consider even and odd contractions, contractions on ranks and contractions on quaternion types. ...
Added: October 16, 2015
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