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Pattern Analysis in Parallel Coordinates Based on Pairwise Comparison of Parameters
Automation and Remote Control. 2019. Vol. 80. No. 1. P. 112–123.
We present the basic properties of the a new pattern analysis method in parallel coordinates; results of the method do not depend on the ordering of data in the original sample of objects being analyzed. We prove that clusters obtained with this method do not overlap. We also show the possibility of representing objects of one cluster in the form of monotonically increasing/decreasing functions.
Publication based on the results of:
Flamarion M. V., Pelinovsky E., Nonlinear Dynamics 2026 Vol. 114 Article 784
In this article, we investigate wave packet and solitary wave dynamics in the Whitham–Ostrovsky (WO) equation. By means of a multiple-scales expansion, we formally derive a nonlinear Schrödinger (NLS) equation governing the envelope evolution.The corresponding modulational stability diagram is then obtained using the Lighthill criterion. We show that sufficiently large values of the low-frequency dispersive term render ...
Added: June 5, 2026
Medvedev T. V., Pochinka O., Chaos 2026 Vol. 36 No. 6 Article 063107
We consider 3-diffeomorphisms with source–sink dynamics where Smale solenoids play the role of the source and the sink (NSSS-diffeomorphisms). It is known that such diffeomorphisms exist only on lens spaces. On the 3-sphere, every NSSS-diffeomorphism is associated with an exchangeable braid. An exchangeable braid with the strand number n was constructed for each n 3 in such a way ...
Added: June 4, 2026
Seul: PMLR, 2026.
Added: June 4, 2026
Kazakov A., Mints D., Petrova I. et al., Chaos 2026 Vol. 36 No. 6 Article 063112
We study hyperbolic chaotic dynamics for maps of a two-dimensional torus. We introduce a two-parameter family of diffeomorphisms which, as we show, demonstrates all types of hyperbolic chaotic dynamics that can appear in the two-dimensional case. In addition, we describe all the bifurcations responsible for the transitions between these chaotic regimes. ...
Added: June 4, 2026
Nozdrinova E., Pochinka O., Shmukler V., Математический сборник 2026 Т. 217 № 6 С. 71–89
Гомеоморфизмы топологических пространств называются эквивалентными по надстройке, если надстройки над ними топологически эквивалентны. В частности, топологически сопряженные гомеоморфизмы эквивалентны по надстройке. Известно, что для гомологически неприводимых гомеоморфизмов их топологическая сопряженность является необходимым и достаточным условием их эквивалентности по надстройке. Тогда как инварианты топологической сопряженности гомологически приводимых гомеоморфизмов во многих случаях являются избыточными для эквивалентности по ...
Added: June 3, 2026
Gnetov F., Konakov V., Успехи математических наук 2026 Т. 81 № 3 (489) С. 161–162
Пусть M обозначает симметрическое пространство некомпактного типа ранга 1. Опираясь на фундаментальную работу [1], в [2] было показано, что плотность соответствующим образом нормированной суммы независимых Hn-значных случайных величин, определенная через сложение Мёбиуса в модели шара Пуанкаре, сходится к фундаментальному решению соответствующего уравнения теплопроводности. Пределом являлся нормальный закон на Hn, соответствующий ядру теплопроводности, определяемому оператором Лапласа–Бельтрами. ...
Added: June 2, 2026
Silakov D., Системный администратор 2026 № 3 С. 28–33
В статье про платформы для разработки открытого ПО в Китае мы рассказали про GitCode – молодой проект, позиционируемый как площадка для разработчиков со всего мира. Сейчас на GitCode размещаются проекты, созданные в КНР, но некоторые из них уже известны и на международной арене. Помочь открытым проектам в становлении, развитии и расширению аудитории призван фонд OpenAtom ...
Added: June 2, 2026
Slivnitsin P., Mylnikov L., Engineering Applications of Artificial Intelligence 2026 Vol. 179 Article 115185
The paper describes a applied artificial intelligence task of recognition-by-components method of real objects based on the recognition of a limited set of primitives or components. The recognition-by-components makes it possible to determine the components, that compose an object, and increase the number of recognizable objects without degrading the recognition quality. Training is performed on ...
Added: May 29, 2026
Gorbounov Vassily, Kazakov A., Data Analytics and Topology 2025 Vol. 1 No. 1 P. 33–45
A classic problem in data analysis is studying the systems of subsets defined by either a similarity or a dissimilarity function on X which is either observed directly or derived from a data set.
For an electrical network there are two functions on the set of the nodes defined by the resistance matrix and the response ...
Added: May 28, 2026
Mokienko O., Zisman M. A., Bobrov P. et al., American Journal of Physical Medicine and Rehabilitation 2026 Vol. 105 No. 6 P. 555–563
Brain-computer interfaces (BCIs) represent a promising technology for restoring lower limb motor functions and gait after stroke. The application of BCIs in this field is supported by a limited number of studies. The objective of the review was to systematically and critically evaluate the current evidence on the use of BCIs for lower limb function ...
Added: May 28, 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
Porosenkov G., Цепелевич М. М., Кизяков Д. А. et al., Информатика и образование 2025 Т. 40 № 2 С. 57–65
Research on learner engagement in massive open online courses (MOOCs) has predominantly focused on those developed by educational and non-profit organizations. However, the significance of MOOCs offered by IT service providers (vendors), particularly in the field of cloud computing, has gained prominence in recent years. These vendor-led courses facilitate interaction between learners and vendors, underscoring the ...
Added: January 18, 2026
Dávila Bolliger R., Brandão Fischer B., Ferreira de Faria A. et al., The Journal of Technology Transfer 2025 Vol. 50 P. 1461–1490
Science and Technology Parks (STPs) have become popular instruments among policymakers worldwide. Yet, empirical studies have questioned the effectiveness of STPs in generating the desired impacts on tenant companies and in regional development. Recent literature attributes these conditions to a lack of focus on the inherent heterogeneity of STPs and their respective tenants. This research ...
Added: November 12, 2025
Alexey Myachin, Studies in Systems, Decision and Control 2025 Vol. 615 P. 12–20
In this paper, we introduce a refined and rigorous methodological framework for the validation and quality assessment of pattern analysis outcomes. Our approach synergistically integrates a formal algorithmic model with novel conceptual constructs - specifically, the notions of the empty pattern and pattern complexity. A comprehensive array of metric approaches is employed to evaluate pattern analysis ...
Added: November 5, 2025
Gabdukaev E., Naidenova I. N., Parshakov P., Общество и экономика 2025 № 10 С. 39–55
This study presents a systematic analysis of 7,566 articles from international peer-reviewed journals on transport infrastructure and economic development. Using machine-learning and cluster-analysis techniques, it identifies the field’s key research directions. The results reveal four dominant thematic clusters: sustainable transport, digitalisation, regional corridors and decarbonisation. Topic-trend analysis shows a rapid surge of interest in the ...
Added: October 10, 2025
Бураков Н. А., Якобсон Л. И., Вопросы экономики 2025 № 9 С. 27–42
The paper justifies the need to address sustainable characteristics of both individual and collective participants in the processes economic development strategic planning (EDSP), while extant research mostly focuses on structural and organizational issues. Our study shows the relevance of applying the concept of strategic culture with regard to EDSP, although currently it is used by ...
Added: September 11, 2025
Alexey Myachin, Procedia Computer Science 2025 Vol. 266 P. 1330–1335
An agglomerative pattern analysis algorithm is presented that groups objects using ordinal-invariant pattern clustering, with the goal of maximizing the coefficient of determination. Key stages are described: constructing initial pattern pattern by grouping objects according to permutations of feature values; computing centroids and variances; and defining a merge criterion based on the maximal increase in ...
Added: August 18, 2025
Boboshko D., Treistar D., Kulapova A., Lecture Notes in Networks and Systems 2024 No. 1092
The article presents the results of a study of the conceptual apparatus used in describing the processes of formation and functioning of banking ecosystems. Advanced search filters were applied to select the most relevant scientific literature, which made it possible to objectively narrow and clarify the scope of bibliometric research. The content of more than ...
Added: May 26, 2025
Терещенко Д. С., Левкин Н. В., Псковский регионологический журнал 2025 Т. 21 № 1 С. 22–40
The article is devoted to the study of the publication activity of universities in the regions of the Russian Federation. The study is based on data from the OpenAlex project, which provides open and free access to information on scientific publications. The analysis used the principal component method and k-means clustering. As a result, three ...
Added: April 3, 2025
F. T. Aleskerov, A. L. Myachin, V. I. Yakuba, Doklady Mathematics 2024 Vol. 110 No. 3 P. 474–479
We propose a novel method for rapid pattern analysis of high-dimensional numerical data, termed tunnel clustering. The main advantages of the method are its relatively low computational complexity, endogenous determination of cluster composition and number, and a high degree of interpretability of final results. We present descriptions of three different variations: one with fixed hyperparameters, ...
Added: March 3, 2025
Zuev V. N., Канихин Т. Н., Вестник Южно-Уральского государственного университета. Серия: Экономика и менеджмент 2024 Т. 18 № 4 С. 7–14
This article analyzes the key features of the formation and clustering of EU energy policies in the renewable energy sector. Global problems, such as climate change, and local problems in EU countries, associated with their dependence on oil and gas imports, are contributing to the transition of EU countries to renewable energy sources. However, this ...
Added: February 9, 2025
Bobryshev A., Baydakov A., Zvyagintseva O. et al., Russian Journal of Economics 2023 Vol. 9 No. 4 P. 386–406
The article classifies rural territorial entities using the systems approach, which is based on identifying their key subsystems — natural, social, and economic. The study aims to develop and implement a procedure for creating a multiaspect assessment range of rural development levels relying on the combined use of multivariate statistical analysis
and the computational and expert ...
Added: November 12, 2024
Bogdanova T., Ощепков М. Е., Социология науки и технологий 2024 Т. 15 № 3 С. 231–252
In the research field of corporate performance management (CPM) the new “second generation” of scientists is gradually forming, while the key role of the “first generation” of leading scholars is preserved. Considering the structural changes in socio-economic processes, the existing research due to obsolescence does not cover a significant period in the development of the ...
Added: October 1, 2024
Veretenenko I. I., Trofimov Y. A., Krylov N. A. et al., Biochimica et Biophysica Acta - Biomembranes 2024 Vol. 1866 No. 7 Article 184376
Lateral heterogeneity, or mosaicity, is a fundamental property inherent to cell membranes that is crucial for their functioning. While microscopic inhomogeneities (e.g. rafts) are easily detected experimentally, lipid domains with nanoscale dimensions (nanoclusters of nanodomains, NDs) resist reliable characterization by instrumental methods. In such a case, important insight can be gained via computer modeling. Here, ...
Added: September 19, 2024