?
On multivariate network analysis of statistical data sets with different measures of association
Annals of Mathematics and Artificial Intelligence. 2016. Vol. 76. No. 1. P. 83–92.
The main goal of the present paper is the development of a general framework of multivariate network analysis of statistical data sets. A general method of multivariate network construction, on the basis of measures of association, is proposed. In this paper we consider Pearson correlation network, sign similarity network, Fechner correlation network, Kruskal correlation network, Kendall correlation network, and the Spearman correlation network. The problem of identification of the threshold graph in these networks is discussed. Different multiple decision statistical procedures are proposed. It is shown that a statistical procedure used for threshold graph identification in one network can be efficiently used for any other network. Our approach allows us to obtain statistical procedures with desired properties for any network. © 2015 Springer International Publishing Switzerland.
Ponomarenko A., / Series Computer Science "arxiv.org". 2025.
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
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 ...
Added: June 23, 2026
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
Tyuryakova-Matveeva D., Цифровые гуманитарные исследования 2026 № 1 С. 4–26
The article explores cultural references in the works of Andrei Voznesensky by analyzing the personalities he mentions. A total of 1,678 works were processed, including poetry, prose, and early unpublished poems. NER methods based on Natasha, spaCy, and LLM Grok tools made it possible to study the frequency of mentions of famous people and their ...
Added: May 31, 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
Aleskerov F. T., Khutorskaya O., Stepochkina A. et al., Springer, 2026.
The book contains new models of bibliometric analysis based on centrality measures in network analysis, pattern analysis and stability analysis. A distinctive feature of these centrality measures is that they account for the parameters of vertices and group influence of vertices to a vertex. This reveals specific groups of publications, authors, terms, journals and affiliations ...
Added: May 15, 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
Pilé I., Deng Y., Shchur L., / Series arXiv "math". 2026. No. 2604.10254.
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
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
Pakhomova A., Вестник Московского университета. Серия 9: Филология 2026 № 1 С. 162–177
Beginning in the mid-1920s Aleksandr Vvedensky, Daniil Kharms,
and Konstantin Vaginov became acquainted with the circle of the poet, writer, and
playwright Mikhail Kuzmin, and by the close of this decade, they became regular
visitors to his residence. The interactions between Kuzmin and the Oberiuts has
been sufficiently developed; however, numerous studies have shifted the focus to the
pragmatics of ...
Added: April 1, 2026
Barkhatova L., В кн.: Человек в информационном обществе: сборник материалов третьей международной научно-практической конференции, посвящённой 80-летию Победы в Великой Отечественной войне, 23–26 апреля 2025 года, г. Самара.: Самара: Самарский национальный исследовательский университет имени академика С.П. Королева, 2025. С. 94–98.
The analytical possibilities of using semantic network analysis in qualitative research are considered. A scheme for constructing a semantic map and its integration with the results of the qualitative stage is proposed. It is shown that the implementation of semantic networks for analyzing qualitative data enables validation of conclusions. ...
Added: January 25, 2026
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
Petrovanov I., Sergeev A., / Series Computer Science "arxiv.org". 2025. No. 2512.18332.
Transport coding reduces message delay in packet-switched networks by introducing controlled redundancy at the transport layer: original packets are encoded into coded packets, and the message is reconstructed after the first successful deliveries, effectively shifting latency from the maximum packet delay to the -th order statistic. We present a concise, reproducible discrete-event implementation of transport coding in OMNeT++, including ...
Added: December 24, 2025
Hessian-based lightweight neural network for brain vessel segmentation on a minimal training dataset
Меньшиков И. А., Бернадотт А. К., Elvimov N. S., / Series arXie "Statistical mechanics". 2025.
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 ...
Added: December 1, 2025
Rubchinskiy A., Chubarova D., / Series WP7 "Математические методы анализа решений в экономике, бизнесе и политике". 2025. No. WP7/2025/01.
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
Андриянов Д. А., Брагина А. Б., Kechik U. et al., Полития: Анализ. Хроника. Прогноз 2025 Т. 118 № 3 С. 80–107
It has long been generally accepted in Political Science that distributed elite networks, rather than institutions, are crucial to the functioning of the Russian political system. One of the important factors in the formation of such networks is ethnicity. Of particular interest is the ethnic dynamics in those regions, where there is no dominant ethnic ...
Added: September 25, 2025
Andronova E., Kapuza A., Психологические исследования: электронный научный журнал 2025 Т. 18 № 102 Статья 3
This study examines concepts as systemic elements within a conceptual structure, drawing on the theoretical framework of L.S. Vygotsky’s cultural-historical psychology. A key characteristic of concepts is their level of abstraction, which reflects their degree of generalization within a system. However, existing classification methods lack a unified approach, complicating empirical research. The current study aimed ...
Added: September 19, 2025
Глумов Ф. В., Maltsev A., Terra Politica 2025 № 1 С. 167–186
The present study is devoted to the phenomenon of gerrymandering on the example of US Congressional elections. The boundaries of US Congressional electoral districts were used for the analysis. The division of states into districts was based on census data from 2000 to 2020. Data on small administrative units (counties) similarly relied on census data. ...
Added: August 6, 2025
Loseva A., Moroz A., Shmidt E. et al., International Journal of Communication 2024 Vol. 18 P. 1–26
In light of the “gardening” of the public sphere in autocracies, the question of how power is distributed in the media field calls for empirical investigation. We use computational methods of network analysis, topic modeling, and semantic analysis to test if the Russian media landscape is organized around the three “publics” as suggested by earlier ...
Added: July 7, 2025
Spinazzola M., Scuotto V., Pironti M. et al., Small Business Economics 2025 Vol. 65 P. 1517–1534
Entrepreneurial ecosystems (EEs) are regarded as ideal breeding ground for knowledge-intensive entrepreneurs (KIEs). Yet, as EEs are mostly considered isolated from each other and their connectedness is neglected, there is a lack of research on their capacity to attract KIEs rather than to locally nurturing them. Inadequate data has been a major obstacle to this ...
Added: June 30, 2025
Fuad Aleskerov, Tkachev D., , in: In Honor of the 70th Birthday of Panos Pardalos. Theory, Algorithms and Experiments in Applied Optimization. SOIA, volume 226Vol. 226.: Springer, 2025. Ch. 2 P. 22–37.
New centrality indices Bundle and Pivotal, were introduced to identify key vertices taking into account parameters of vertices and an influence of vertices to a vertex. However, the Bundle and Pivotal indices are constructed in that way that they do not take into account directly the weights of arcs – important information about interaction among vertices ...
Added: April 29, 2025
Mikhaylova O., Dokuka S., Quality and Quantity 2025 Vol. 59 P. 4077–4095
This paper explores the use of the Core Discussion Network (CDN) methodology for analyzing personal networks. We discuss the method’s origins and the specifics of its implementation, followed by a brief overview of findings from international studies. Using data collected in 2021 from 270 first-year undergraduate and graduate students at a top-tier Russian university, we ...
Added: April 19, 2025
Fuad Aleskerov, Tkachev D., , in: Dynamics of Disasters: From Natural Phenomena to Human ActivityVol. 217.: Springer, 2024. Ch. 1 P. 1–13.
The situation of deep uncertainty is defined by the absence of any statistical evaluations of the situation development. For instance, such situations may include events that occur for the first time. We use scenario analysis to model the potential outcomes of events affecting networks under deep uncertainty. Centrality indices are used to identify vulnerable vertices ...
Added: March 5, 2025
Meshcheryakova N., Швыдун С. В., Automation and Remote Control 2024 No. 85 P. 685–695
Identification of central elements in networks is an ill-defined problem. Hence, a large number of centrality measures have been proposed in the literature. We present a survey of existing axioms, which characterize certain properties of centralities. We also perform a perturbation analysis of centrality measures in real and artificial networks. ...
Added: December 2, 2024