?
Pattern Analysis Based on Interval Estimates: Ordinal-Interval Pattern Clustering
Procedia Computer Science. 2024. Vol. 242. P. 95–99.
A new method for searching patterns in data using interval estimates is proposed. The computational complexity, algorithmic implementation, and some properties that allow the method to be applied to high-dimensional data are described, including the characteristics of ordering the studied indicators in groups obtained from the analysis, the unambiguous definition of such groups, and their lack of intersections. The possibility of using a generalization of Borda's rule for interval estimates in pairwise comparison of interval estimates in the practical implementation of this method has been studied. The term "ordinal-interval pattern clustering" is proposed. The potential for reducing computational complexity by introducing additional constraints is presented. Recommendations on the appropriateness of using ordinal-interval pattern clustering are discussed. An example of a practical application was studied using synthetic data. Recommendations for using ordinal-interval pattern clustering will help researchers and analysts optimize the data analysis process and obtain more accurate and interpretable results. Examples of practical application of the method on various types of data highlight its universality and effectiveness.
Mylnikov L., Slivnitsin P., 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
М.: Институт проблем управления им. В.А. Трапезникова РАН, 2024.
В сборник вошли материалы VIII Международной научной конференции «Информационные технологии и технические средства управления» (ICCT-2024). На конференции были рассмотрены вопросы, касающиеся перспектив развития научного приборостроения в телекоммуникационных и управляющих системах, биомедицинской информатики, аппаратного и программного обеспечения информационнокоммуникационных систем, надежности, диагностики и неразрушающего контроля, систем управления и автоматизации, цифровых экосистем, управления производством и логистикой, методов математического ...
Added: May 27, 2026
Degtyarev A., Bakhurin S., Yudin N., DSPA 2026 P. 1–6
This paper investigates one possible solution to the problem of self-interference cancellation (SIC) arising in the design of in-band full-duplex (IBFD) communication systems. Self-interference cancellation is performed in the digital domain using multilayer nonlinear models adapted via gradient-based optimization. The presence of local minima and saddle points during the adaptation of multilayer models limits the ...
Added: May 26, 2026
Ilyashenko Y., Shilin I., Stanislav Minkov, Russian Journal of Mathematical Physics 2026 Vol. 33 No. 1 P. 89–106
In this paper, new numerical invariants of structurally unstable vector fields in the plane
are found. One of the main tools is an improved asymptotics of sparkling saddle connections that
occur when a separatrix loop of a hyperbolic saddle breaks. Another main tool is a new topological
invariant of two arithmetic progressions, both perturbed and unperturbed, on the ...
Added: May 26, 2026
Androsov I., Proceedings of the Institute for System Programming of the RAS 2026 Vol. 38 No. 3 P. 87–114
This paper examines echo state networks (ESNs), one of the most prevalent approaches to
implementing reservoir computing. An ESN consists of a recurrent neural network with fixed (untrained)
weights and a readout layer that is typically linear and trainable. This approach enables the creation of energyefficient and computationally efficient neural networks capable of real-time learning. However, since ...
Added: May 26, 2026
Gusev I., Maksaev A., Promyslov V., Journal of Mathematical Sciences 2025 Vol. 299 No. 6
The regular graph of the space of n × m matrices over a field F is defined as the undirected graph whose vertices are matrices of rank min(n, m), and distinct matrices A and B are connected by an edge if and only if rk(A + B) < min(n, m). In this paper, for |F| ...
Added: May 25, 2026
Караваева Е. А., Кулигин Л. А., Rezunik L. et al., Труды Института системного программирования РАН 2026 Т. 38 № 3 С. 67–94
В статье представлен метод рефакторинга исходного кода на основе интеграции большой языковой модели (LLM) и расширенной UML-модели программного кода. Предложенный подход позволяет выявлять проблемные участки кода с использованием функций тревожности и структурных метрик классов, а затем выполнять автоматизированный рефакторинг. Ключевой особенностью метода является использование LLM для генерации формальных спецификаций на языке OCL (Object Constraint Language), ...
Added: May 24, 2026
Tyukin I., Tyukina T., van Helden D. P. et al., Information Sciences 2024 Vol. 678 Article 120856
AI errors pose a significant challenge, hindering real-world applications. This work introduces a novel approach to cope with AI errors using weakly supervised error correctors that guarantee a specific level of error reduction. Our correctors have low computational cost and can be used to decide whether to abstain from making an unsafe classification. We provide ...
Added: May 23, 2026
Zaikin A., Sviridov I., Sosedka A. et al., Technologies 2026 Vol. 14 No. 2 Article 84
High-dimensional tabular data are common in biomedical and clinical research, yet conventional machine learning methods often struggle in such settings due to data scarcity, feature redundancy, and limited generalization. In this study, we systematically evaluate Synolitic Graph Neural Networks (SGNNs), a framework that transforms high-dimensional samples into sample-specific graphs by training ensembles of low-dimensional pairwise ...
Added: May 23, 2026
Chertopolokhov V., Mukhamedov A., Bugriy G. et al., IEEE Access 2026 Vol. 14 P. 14369–14392
This study presents on-the-fly identification and multi-step prediction of nonlinear systems with delayed inputs using a dynamic neural network combined with a smooth projection onto ellipsoids. The projection enforces parameter constraints that guarantee stability, while a Lyapunov–Krasovskii analysis yields computable ultimate error bounds. Riccati-type matrix inequalities are derived, providing an efficient vectorization–projection–devectorization implementation suitable for ...
Added: May 22, 2026
Морозов С. В., Calcolo 2026 Vol. 63 No. 2 Article 23
The approximation of tensors in a low-para metric format is a crucial component in many mathematical modelling and data analysis tasks. Among the widely used low-parametric representations, the canonical polyadic (CP) decomposition is known to be very efficient. Nowadays, most algorithms for CP approximation aim to construct the approximation in the Frobenius norm; however, some ...
Added: May 22, 2026
Loshkareva M. E., Matveeva N., Вестник Томского государственного университета. История 2026 № 100 С. 112–118
This research is an endeavor to apply social network analysis (SNA) to the study of a medieval narrative source. The authors suppose that the use of network analysis may offer new possibilities in the study of the history of regions characterized by some political fragmentation. Authors tried to construct networks of historical interactions from 1193 ...
Added: May 22, 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
Сурова К. В., Aleskerov F. T., Solodkov V. M. et al., Журнал Новой экономической ассоциации 2025 № 1(66) С. 76–96
В работе предлагается метод анализа данных в применении к исследо- ванию моделей поведения банков России в период до и во время пандемии коронавирус- ной инфекции. Исследование включает в себя источники данных с временными рядами показателей по модели CAMEL в период 2017–2021 гг. Система CAMEL является наибо- лее авторитетной и используется регуляторами для оценки и управления ...
Added: November 11, 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
Кулеш А. А., Мехряков С. А., Демин Д. А. et al., Неврология и нейрохирургия Восточная Европа 2025 Т. 15 № 3 С. 436–445
The etiology of ischemic stroke is extremely diverse. According to the SSS-TOAST classification, ischemic stroke can be caused by atherosclerotic lesions of large arteries, cardiogenic thromboembolism, occlusion of small arteries (lacunar), other established (dissection, cerebral venous thrombosis, migraine, reversible cerebral vasoconstriction syndrome, antiphospholipid syndrome, etc.), and unspecified causes. Strokes of unknown etiology may be caused ...
Added: October 20, 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
Dmitrienko A., Myachin A. L., Университетское управление: практика и анализ 2023 Т. 27 № 2 С. 75–88
The paper analyzes the pricing strategies of Russian public universities in the context of the influence of competitors on the market for tuition-paying education. The aim of the study is to determine how competition in local higher education markets affects the pricing strategies of Russian public universities. The empirical basis of the study is formed ...
Added: June 7, 2023
Myachin A. L., , in: Intelligent Computing: Proceedings of the 2022 Computing Conference, Volume 1.: Springer, 2022. P. 826–835.
We present methods for finding patterns using sorting algorithms. Two modifications of diffusion-invariant pattern clustering are proposed, which allow finding structurally similar objects under study. The proposed modifications allow you to reduce the time spent on searching for templates, which allows you to work with big datasets. It assumes endogenous quantification and distribution of income ...
Added: December 3, 2022
Prokofiev V. N., Myachina K., Myachin A. L., Control Sciences 2021 Vol. 3 P. 50–57
The indicators of regional sports development in the Russian Federation are analyzed to find regions with a similar sports development strategy (according to the chosen methodology and measures of closeness) and to identify dynamic groups in a four-year period. Some clustering and pattern analysis methods are described, and their use in the study is validated. ...
Added: October 24, 2021
Myachin A. L., Prokofiev V. N., Степанов А. А., Управление большими системами: сборник трудов 2021 № 92 С. 43–63
The study is devoted to the application of ordinal-fixed and ordinal-invariant pattern clustering to study the structure of the energy sector in regions of Russian Federation over a five-year period. Methods for pattern analysis in the work are due to the independence of the final results from the difference in the absolute values of indicators ...
Added: September 1, 2021