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Additive spectral method for fuzzy cluster analysis of similarity data including community structure and affinity matrices
Information Sciences. 2012. No. 183. P. 16–34.
Mirkin B., Nascimento S.
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
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
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
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
Швыдун С. В., , in: 2020 IEEE/ACM International Conference on Advances in Social Networks Analysis and Mining (ASONAM).: IEEE, 2020. P. 374–378.
Using the consolidated banking statistics (CBS) on foreign claims over the period 2005-2020, we examine the relationship between national banking systems from the network perspective. Our main goal is to identify financial communities and systemically important elements and study their evolution. We compare the snapshots of the foreign claims network and analyze how it changes ...
Added: March 31, 2021
Dorodnykh A., Ostroumova Prokhorenkova Liudmila, Samosvat E., Internet Mathematics 2018 P. 1–25
Various models have been recently proposed to reflect and predict different properties of complex networks. However, the community structure, which is one of the most important properties, is not well studied and modeled. In this paper, we suggest a principle called “preferential placement”, which allows to model a realistic clustering structure. We provide an extensive ...
Added: May 7, 2020
Frolov D., Mirkin B., Nascimento S. et al., , in: Optimization of Complex Systems: Theory, Models, Algorithms and Applications.: Switzerland: Springer Publishing Company, 2020. P. 779–789.
This paper presents a relatively rare case of an optimization problem in data analysis to admit a globally optimal solution by a recursive algorithm. We are concerned with finding a most specific generalization of a fuzzy set of topics assigned to leaves of domain taxonomy represented by a rooted tree. The idea is to “lift” ...
Added: June 25, 2019
Nazarova V., Левичев И. П., HSE Economic Journal 2017 Vol. 21 No. 3 P. 451–481
In recent years, the role of stock markets as the source of capital to fund increased significantly. Using investment portfolio enables companies to achieve maximum efficiency in the stock market, thereby reducing the risk of their operations and increase their profitability. The article deals with the effective management of the investment portfolio , including various ...
Added: December 29, 2017
Kurmukov A., Dodonova Y., Burova M. et al., , in: Computational Aspects and Applications in Large-Scale Networks. Springer Proceedings in Mathematics & StatisticsVol. 247.: Springer, 2018. P. 299–308.
Human brain networks show modular organization: cortical regions tend to form densely connected modules with only weak inter-modular connections. However, little is known on whether modular structure of brain networks is reliable in terms of test-retest reproducibility and, most importantly, to what extent these topological modules are anatomically embedded. To address these questions, we use ...
Added: December 15, 2017
Mirkin B., Shestakoff A., , in: Clusters, orders, trees: methods and applications. In Honor of Boris Mirkin's 70th BirthdayVol. 92.: Berlin: Springer, 2014.
We develop a consensus clustering framework proposed three decades ago in Russia and experimentally demonstrate that our least squares consensus clustering algorithm consistently outperforms several recent consensus clustering methods. ...
Added: January 23, 2015
Mirkin B., Nascimento S., Pereira L. M., , in: Advances in Reasoning-Based Image Processing Intelligent Systems: Conventional and Intelligent Paradigms, Series on Intelligent Systems Reference LibraryVol. 29: Series on Intelligent Systems Reference Library.: Heidelberg: Springer, 2012. P. 423–454.
We describe a novel method for the analysis of research activities of an organization by mapping that to a taxonomy tree of the field. The method constructs fuzzy membership profiles of the organizationmembers or teams in terms of the taxonomy’s leaves (research topics), and then it generalizes them in two steps. These steps are: (i) ...
Added: October 29, 2013
Mirkin B., Nascimento S., Felizardo R., Expert Systems: The Journal of Knowledge Engineering 2013 Vol. 30 No. 4 P. 294–305
This paper presents a further investigation into computational properties of a novel fuzzy additive spectral clustering method, Fuzzy Additive Spectral clustering (FADDIS), recently introduced by authors. Specifically, we extend our analysis to ‘difficult’ data structures from the recent literature and develop two synthetic data generators simulating affinity data of Gaussian clusters and genuine additive similarity ...
Added: October 29, 2013