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The Feature Selection Method Based on a Probabilistic Approach and a Cross-Entropy Metric for the Image Recognition Problem
Scientific and Technical Information Processing. 2021. Vol. 48. No. 6. P. 430–435.
Dubnov Y. A.
This paper considers the problem of feature selection in the classification problem. A method for selecting informative features based on a probabilistic approach and cross-entropy metrics is proposed. Several variants of the information criterion for selecting features for a binary classification problem are considered, as well as its generalization to the case of a multiclass problem. Demonstration examples of the proposed method for the task of image recognition from the mnist collection are given.
Devyatov R. A., Mathematical notes 2026 Vol. 119 No. 3 P. 782–786
Let G/B be a flag variety over ℂ, where G is a simple algebraic group with a simply laced Dynkin diagram, and B is a Borel subgroup. We say that the product of classes of Schubert divisors in the Chow ring is multiplicity free if it is possible to multiply it by a Schubert class ...
Added: August 30, 2026
Bayer A., Kuznetsov A., Macrì E., Journal fuer die reine und angewandte Mathematik 2026 Vol. 2026 No. 836 P. 111–162
We give a self-contained and simplified proof of Mukai’s classification of prime Fano threefolds of index 1 and genus g ≥ 6 with at most factorial terminal singularities, and of its extension to higher dimension. ...
Added: August 30, 2026
Bayer A., Kuznetsov A., Macrì E., Compositio Mathematica 2026 Vol. 162 No. 1 P. 59–99
We give a proof of Mukai’s theorem on the existence of certain exceptional vector bundles on prime Fano threefolds. To our knowledge this is the first complete proof in the literature. The result is essential for Mukai’s biregular classification of prime Fano threefolds, and for the existence of semiorthogonal decompositions in their derived categories. Our ...
Added: August 30, 2026
Guseva L., Novikov A., Advances in Mathematics 2026 Vol. 503 Article 111211
We prove that the Kuznetsov–Polishchuk exceptional collections on rational homogeneous spaces of the symplectic groups Sp(2n,C) are full and consist of vector bundles. To achieve this, we construct several classes of complexes, which we call generalized staircase complexes, symplectic staircase complexes and secondary staircase complexes — each of which may be of independent interest. ...
Added: August 30, 2026
Polishchuk A., Rains E., Journal of the Institute of Mathematics of Jussieu 2026 Vol. 25 No. 1 P. 339–373
We prove that for every relatively prime pair of integers (d,r) with r>0, there exists an exceptional pair (O,V) on any del Pezzo surface of degree 4, such that V is a bundle of rank r and degree d. As an application, we prove that every Feigin-Odesskii Poisson bracket on a projective space can be ...
Added: August 30, 2026
Kazhdan D., Polishchuk A., Pure and Applied Mathematics Quarterly 2026 Vol. 22 No. 3 P. 1115–1166
We continue the study of automorphic functions associated with a curve C over the ring k[ε]/(ε²), where k is a finite field, begun in arXiv:2303.16259. Namely, we study an example of theta-lifting in this framework and show that it can be understood in terms of the orbit decomposition of the space of automorphic functions S(SL₂(F)\SL₂(A_C)) ...
Added: August 30, 2026
Kuznetsov A. P., Sataev I. R., Stankevich N., Chaos 2026 Vol. 36 No. 8 Article 083131
A radio-physical system, namely, a two-mode van der Pol generator, is considered. It is shown that this system demonstrates two types of chaos: with one and two zero Lyapunov exponents. The regions of the second type of chaos are surrounded by bifurcation lines of invariant tori doubling. Quasi-periodic structures of various shapes are embedded within ...
Added: August 30, 2026
Shirokov N. A., Rozenblum G., Israel Journal of Mathematics 2026 P. 1–30
We establish that a generalized H\¨older continuous function on an (m−2)-Ahlfors regular compact set in Rm can be approximated by solutions of an elliptic equation, with the rate of approximation determined by the continuity modulus of the function ...
Added: August 29, 2026
Avdoshin S.M., Patrushev K. A., Proceedings of the Institute for System Programming of the RAS 2026 No. 4 часть 2 P. 245–256
The cardinality-constrained Markowitz problem is NP-hard and traditionally solved with commercial MIQP solvers. Following the 2022 export restrictions that rendered both commercial MIQP software and cloud quantum platforms (IBM Quantum, D-Wave Leap) inaccessible from the Russian Federation, practitioners require open-source alternatives. This paper systematically compares three solver families for the discrete mean-variance problem: two open-source ...
Added: August 27, 2026
Zaikin A., Vlasenko D., Zakharov D. et al., Diagnostics 2026 Vol. 16 No. 17 P. 1–15
Background/Objectives: Synolitic graphs (SGs) were developed for task-based fMRI, where
edge weights encode the discriminative power of pairwise regional features; whether similar
information can be recovered from resting-state data was untested. We benchmarked
SGs for autism spectrum disorder (ASD) classification using the multisite ABIDE-I dataset
(871 subjects: 403 subjects with ASD, 468 typical controls; 17 sites; CC200 atlas). Methods:
Using ...
Added: August 27, 2026
Melnikov I., Pelinovsky E., Nonlinear Dynamics 2026 No. 114 Article 934
Pyramidal solitons (solitons with more than two inflection points) of the generalized Korteweg–de Vries (KdV) equation are investigated. Necessary and sufficient conditions for the existence of such structures are presented. Within the framework of the generalized Gardner equation — the simplest model that admits pyramidal solitons as solutions — it is shown that these solutions ...
Added: August 27, 2026
Тула: Тульский государственный педагогический университет им. Л.Н. Толстого, 2025.
Сборник содержит материалы, представленные на XXIV Международной конференции «Алгебра, теория чисел, дискретная геометрия и многомасштабное моделирование: современные проблемы, приложения и проблемы истории», посвящённой 110-летию со дня рождения академика Юрия Владимировича Линника и 110-летию со дня рождения профессора Андрея Борисовича Шидловского и 80-летию со дня рождения профессора Геннадия Ивановича Архипова. Материалы конференции будут полезны научным работникам, ...
Added: August 27, 2026
Nesterenko A., Чирский В. Г., Матвеев В. Ю., Чебышевский сборник 2026 Т. 27 № 2 С. 118–127
The article presents the results of a practical study of the statistical properties of some sequences that are values of functions of a special type. ...
Added: August 26, 2026
Eduard Sopin, Nazarin A., Begishev V. et al., IEEE Transactions on Vehicular Technology 2026 Vol. 75 No. 6 P. 10995–11007
Aimed at rate-greedy applications having extreme requirements for the data rate at the air interface, 5G New Radio (NR) systems may experience problems when the number of user equipment (UE) in the coverage of the cell increases due to limited capacity of the physical downlink control channel (PDCCH).The aim of this study is to explore ...
Added: August 26, 2026
Бестолкова Г. В., Вестник Донецкого национального университета. Филология и психология 2025 № 6 С. 62–73
The research paper objective is to formulate and integrate the term “langues d’oïl” into contemporary
Russian Romance studies’ conceptual framework in order to expand Romance languages’ scientific knowledge.
In accordance with this goal, the given paper involves a number of objectives: term “langues d’oïl” formation’s
historical background analysis; regional languages’ area description in modern France; comprehensive description
of “French ...
Added: February 23, 2026
Бестолкова Г. В., Теория языка и межкультурная коммуникация 2023 № 3(50) С. 1–15
Significant role in modern Occitan language’s development is played by variety of dialects, subdialects and colloquial speech, that determines relevance of the study undertaken in this article. Occitan language dialects’ number is large, therefore only its northern dialects are considered in detail within this article. The material contained in the article allows to form a ...
Added: February 15, 2026
Chikake T. M., Goldengorin B. I., Pardalos P. M., Computer Optics 2025 Vol. 49 No. 6 P. 1191–1201
We present a general-purpose, training-free framework for dimensionality reduction and clustering based on per–sample pseudo–Boolean polynomials (PBP). The method constructs compact, interpreTab. features without model fitting and is evaluated under a standardized protocol that compares PBP to PCA, t-SNE, and UMAP using identical inputs and metrics: clustering alignment (V-measure, Adjusted Rand Index), cluster geometry (Silhouette coefficient, ...
Added: January 2, 2026
Nastina E., Sokolov B., / Series OSF "SocArXiv". 2025.
We argue that a classification-based approach to measuring cultural differences across countries or subnational regions is a promising complement, and sometimes an alternative, to the widely used dimensional method in cross-cultural research. The latter summarises cultural variation using continuous dimensions, for example, Hofstede’s famous individualism-collectivism dimension. However, this approach relies on strong parametric assumptions, which are ...
Added: December 23, 2025
Dragalina-Chernaya E., В кн.: Четырнадцатые Смирновские чтения по логике: материалы Междунар. науч. конф., Москва, 19-21 июня 2025 г.: М.: Издатель Александр Воробьев, 2025. С. 80–82.
В докладе сопоставляются истолкования абстрактных логик как структур и как классификаций абстрактных структур. ...
Added: June 20, 2025
Dragalina-Chernaya E., Логико-философские штудии 2024 Т. 21 № 4 С. 163–164
В статье предлагается истолкование теоретико-модельных (абстрактных) логик как классификаций дефинитных многообразий, которые представляют собой предмет логики как формальной онтологии в интерпретации Гуссерля. ...
Added: June 18, 2024
Байрашев В. Р., Стандарты и качество 2024 № 5(1043) С. 25–29
The article reviews topical issues of using standardization documents on public and corporate procurement, including interrelations of national standards and others legislative requirements for description of goods, works and services, application of nomenclature and terminology of standardization legislation in procurement. The analysis of the order of
using standardization documents allowed to make a conclusion about necessity ...
Added: May 6, 2024
Lifshits A., Святохина Е. В., В кн.: Вспомогательные исторические дисциплины в современном научном знании: Материалы XXXVI Всероссийской научной конференции с международным участием. Москва, 4–5 апреля 2024 г.: М.: ИВИ РАН, 2024. С. 220–221.
Тезисы доклада ...
Added: April 4, 2024
D. V. Vlasenko, A. A. Zaikin, D. G. Zakharov, Izvestiya Vysshikh uchebnykh zavedeniy. Prikladnaya nelineynaya dinamika 2023 Vol. 31 No. 5 P. 661–669
Because the brain is an extremely complex hypernet of interacting macroscopic subnetworks, full-scale analysis of brain activity is a daunting task. Nevertheless, this task can be greatly simplified by analysing the correspondence between various patterns of macroscopic brain activity, for example, through functional magnetic resonance imaging (fMRI) scans, and the performance of particular cognitive tasks ...
Added: March 11, 2024
L. M. Lerman, K. N. Trifonov, Journal of Geometry and Physics 2024 Vol. 195 No. 2 Article 105038
We study topological properties of automorphisms of a 6-dimensional torus $\T^6$ generated by integer matrices with simple eigenvalues being symplectic with respect to either the standard symplectic structure in $\R^6$ or a nonstandard symplectic structure given by an integer skew-symmetric non-degenerate matrix. Such a symplectic matrix generates a partially hyperbolic automorphism of the torus, if its eigenvalues lie both ...
Added: October 31, 2023