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Robustness of Centrality Measures Under Incomplete Data
P. 321–331.
Meshcheryakova N., Shvydun S.
Understanding of real systems relies on the identification of its central elements. Over the years, a large number of centrality measures have been proposed to assess the importance of nodes in complex networks. However, most real networks are incomplete and contain incorrect data, resulting in a high sensitivity of centrality indices. In this paper, we examine the robustness of centrality to the presence of errors in the network structure. Our experiments are performed on weighted and unweighted real-world networks ranging from the criminal network to the trade food network. As a result, we discuss a sensitivity of centrality measures to different data imputation techniques.
Publication based on the results of:
Moiseev D., , in: Passages: Studies in Traditionalism and Traditions – Volume II.: PRAV Publishing, 2025. P. 309–327.
Added: February 4, 2025
Meshcheryakova N., Shvydun S., 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
Dzuba S. A., Тишковец В. С., Shchepeleva M., Финансы: теория и практика 2023 Т. 27 № 5 С. 182–194
The subject of this research is systemic risk transmission between financial sectors in the international financial market. The purpose of our paper is to determine topology characteristics for the network connecting banking systems in the Asia-Pacific region (APR) and Russia. Given the growing role of this region in the global financial market, its susceptibility to ...
Added: November 20, 2023
Meshcheryakova N., Shvydun S., , in: 2023 IEEE/ACM International Conference on Advances in Social Networks Analysis and Mining (ASONAM).: IEEE, 2023. P. 407–414.
In recent decades, a large number of centrality measures have been proposed to assess the importance of nodes in complex networks. The choice of the most appropriate centrality index for specific applications is one of the biggest challenges. This paper performs the perturbation analysis of 8 centrality measures. Since most real networks are incomplete and ...
Added: November 4, 2023
Sergey S. Ketkov, European Journal of Operational Research 2024 Vol. 313 No. 2 P. 602–615
This study addresses a class of linear mixed-integer programming (MILP) problems that involve uncertainty in the objective function parameters. The parameters are assumed to form a random vector, whose probability distribution can only be observed through a finite training data set. Unlike most of the related studies in the literature, we also consider uncertainty in ...
Added: October 31, 2023
Aleskerov F. T., Khutorskaya O., Yakuba V. I. et al., Procedia Computer Science 2023 Vol. 219 P. 1380–1387
More than 10 million people worldwide are suffering from Parkinson Disease (PD). We analyse publications on studies of PD over the period from 2015 to 2021. We have collected about 70 thousand papers from 4912 different journals. After the data preprocessing 39811 publications and 3292 journals are left.
Methods of centrality analysis have been applied to ...
Added: May 29, 2023
Aleskerov F. T., Shvydun S., Meshcheryakova N., CRC Press, 2022.
Over the last number of years there has been a growing interest in the analysis of complex networks which describe a wide range of real-world systems in nature and society. Identification of the central elements in such networks is one of the key research areas. Solutions to this problem are important for making strategic decisions ...
Added: November 12, 2021
Aleskerov F. T., Andrievskaya I. K., Nikitina A. et al., , in: Handbook of Financial Econometrics, Mathematics, Statistics, and Machine Learning (In 4 Volumes).: World Scientific, 2020. P. 355–389.
We propose a novel method to estimate the level of interconnectedness of a financial institution or system, as the measures currently suggested in the literature do not fully take into consideration an important aspect of interconnectedness — group interactions of agents. Our approach is based on the power index and centrality analysis and is employed ...
Added: August 27, 2020
Springer, 2017.
The proceedings contain 94 papers. The special focus in this conference is on Rough Sets. The topics include: Approximations from anywhere and general rough sets; generalized ideals and co-granular rough sets; certainty-based rough sets; the rough membership function on one type of covering-based rough sets and its applications; mereogeometry based approach for behavioral robotics; similarity ...
Added: February 9, 2020
Aleskerov F. T., Gavrilenkova I., Shvydun S. et al., , in: Local Proceedings of Group Decision and Negotiation 2019.: [б.и.], 2019. P. 1–10.
Since 9/11, terrorism has become a global issue of the 21st century. Terrorist organizations become important actors of world politics as they gain influence on political process and decision-making. We study the distribution of power among terrorist groups using network approach. ...
Added: October 31, 2019
Matveenko V., Korolev A. V., , in: Game Theory for Networking Applications.: Springer, 2019. Ch. 1 P. 3–14.
Game theory has recently become a useful tool for modeling and studying various
networks. The past decade has witnessed a huge explosion of interest in issues that
intersect networks and game theory. With the rapid growth of data traffic, from any
kind of devices and networks, game theory is requiring more intelligent transformation.
Game theory is called to play ...
Added: January 29, 2019
Matveenko V., , in: Supplementary Proceedings of the Sixth International Conference on Analysis of Images, Social Networks and Texts (AIST-SUP 2017), Moscow, Russia, July 27-29, 2017Vol. 1975.: Aachen: CEUR-WS.org, 2017. Ch. 31 P. 293–300.
Commonly in network analysis a graph (network) is represented by its adjacency matrix, and the latter may have an enormous order. We show that in many situations (generalizing the case of regular graph) a much smaller matrix (referred as type adjacency matrix) may be used instead. We introduce concepts of the types of nodes and ...
Added: November 7, 2017
Matveenko V., Korolev A. V., , in: Proceedings of the Fourth Russian Finnish Symposium on Discrete MathematicsIssue 22.: University of Turku, 2017. P. 119–135.
We study game equilibria in a network, in each node of which an economy is described by a two-period model of endogenous growth with production and knowledge externalities. Each node obtains an externality produced by the sum of knowledge in neighbour nodes. Uniqueness of the inner equilibrium is proved. Ways of behaviour of agent (passive, ...
Added: June 8, 2017
Krekhovets E., Poldin O. V., Вопросы образования 2016 № 3 С. 59–79
Social capital of students is an important resource developed in the university, along with professional competencies. We analyze friendship and study help networks among first-year students, examine network structures, calculate network parameters and correlations between them. Student relations in different programmes are identical in nature, which is proved by similar structures of both friendship and ...
Added: September 19, 2016
Aleskerov F. T., Meshcheryakova N., Nikitina A. et al., / Series WP BRP "Basic research program". 2016. No. 56.
We propose a new method for assessing agents' influence in financial network structures, which takes into consideration the intensity of interactions. A distinctive feature of this approach is that it considers not only direct interactions of agents of the first level and indirect interactions of the second level, but also long-range indirect interactions. At the ...
Added: August 3, 2016
Aleskerov F. T., Meshcheryakova N., Shvydun S., / Series WP7 "Математические методы анализа решений в экономике, бизнесе и политике". 2016. No. WP7/2016/04.
We propose a new method for assessing agents’ influence in network structures, which takes into consideration nodes attributes, individual and group influences of nodes, and the intensity of interactions. This approach helps us to identify both explicit and hidden central elements which cannot be detected by classical centrality measures or other indices. ...
Added: July 13, 2016
Aleskerov F. T., Andrievskaya I. K., Пермякова Е. Е., / NRU Higher School of Economics. Series FE "Financial Economics". 2014. No. WP BRP 33/FE/2014.
The issue of systemic importance has received particular attention since the recent financial crisis when it came to the fore that an individual financial institution can disturb the whole financial system. Interconnectedness is considered as one of the key drivers of systemic importance. Several measures have been proposed in the literature in order to estimate ...
Added: September 1, 2014