Информационные ресурсы для сферы образования: каталогизация, классификация, онтология.

Башмаков А. И.; Белоозеров В. Н.; В. А. Старых

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Информационные ресурсы для сферы образования: каталогизация, классификация, онтология.

Информационные системы и технологии. 2013. № 6(80). С. 88–102.

Башмаков А. И., Белоозеров В. Н., Starykh V.

In article process of construction formal ontology of information resources system for an education, that pursues the aim to reflect representation about this sphere in the automated systems intended for creation, account, ordering, storage, search and use of these resources in educational institutions of various level is stated. The system of information resources is set by the accepted dictionaries and qualifiers in structure of metadata LOM with the additions reflecting domestic specificity. However structure and borders of this system have no accurate definiteness and come to light in the process of the description depending on a problem and aspect of consideration. This area of the validity limited to problems of the given stage of the description, we will name a subject domain of information resources of an education. For management of information resources of an education the effective and co-ordinated mechanism of the description and cataloguing of the information which can be applied in educational portals, electronic libraries, learning management systems, information storehouses and other educational information systems should be developed and introduced. Such mechanism based on classification of types of information resources and the specification of model of their metadata, is offered before. Modern requirements to formalisation of metadata define necessity of construction of model formal ontology a subject domain of information resources for an education assuming working out of technologies of ordering and management by these resources. In article bases of these technologies are considered.

Generative geospatial modelling with geometric algebra

Yu Z., Wang J., Wang Z. et al., Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 2026 Vol. 384 P. 1–16

The integration of data-driven and knowledge-driven approaches in generative geospatial modelling (GGM) is often hindered by their mathematical incompatibilities. Here, we propose a geometric algebra (GA)-based framework that employs a unified multi-vector representation to fuse heterogeneous data and diverse knowledge. The framework facilitates structured reasoning and hypothesis generation through a task-adaptable, five-stage cycle: representation, reasoning, ...

Added: August 13, 2026

Empowering Novel Geometric Algebra for Graphics and Engineering. ENGAGE 2025 (Hong Kong, July 14, 2025), Lecture Notes in Computer Science

Cham: Springer, 2026.

This book constitutes the proceedings of the 10th International Workshop Empowering Novel Geometric Algebra for Graphics and Engineering, ENGAGE 2025, held in conjunction with Computer Graphics International conference, CGI 2025, in Hong Kong, China, on July 14, 2025. The 14 full papers included in this volume were carefully reviewed and selected from 16 submissions. The papers ...

Added: August 13, 2026

Reconstruction of EEG signals using next-generation reservoir computing

Ratnikov F., European Physical Journal: Special Topics 2026 P. 1–10

EEG recordings are often affected by the loss or corruption of individual channels due to electrode detachment, poor scalp contact, or external interference. Such channels must be accurately reconstructed before further analysis. In this study, we investigate Next-Generation Reservoir Computing (NG-RC) as a data-driven approach for reconstructing corrupted EEG channels and compare its performance with ...

Added: August 12, 2026

О замыкающих ординалах инфинитарных вероятностных исчислений

Speranski S. O., Математические заметки 2026 Т. 120 № 3 С. 470–483

We show that, in terms of closure ordinals, many infinitary calculi for ‘first-order’ logics of probability (i.e., for languages similar to those in [Abadi & Halpern 1994]) are as hard as possible: the corresponding closure ordinals coincide with the least non-constructive ordinal, denoted by $\omega_1^{\mathrm{CK}}$. ...

Added: August 12, 2026

CAD2TechSpec: a framework for automating design processes within computer-aided design systems

Minets M., Krasnozhenov G., Trofimova E. et al., PeerJ Computer Science 2026 Vol. 12 Article e4063

This article presents CAD2TechSpec, a novel framework for automating design processes within computer-aided design (CAD) systems by leveraging multimodal large language models (LLMs). The framework enables the analysis and generation of detailed design specifications, including the automated creation of machining process plans. Our system architecture combines 3D model rendering, dimensionality reduction techniques, and the capabilities ...

Added: August 12, 2026

Parametric study of hand dorsal vein biometric recognition vulnerability to spoofing attacks

Мизинов П. В., Journal of Computer Virology and Hacking Techniques 2023 No. 20 P. 383–396

Biometric vein recognition systems are vulnerable to presentation attacks. Traditionally, researchers have used a near-infrared (NIR) drawing of the user’s vascular bed to create a presentation attack instrument (PAI). This paper investigates the feasibility of using free software to capture a venous pattern of the hand without NIR under normal lighting conditions and to create ...

Added: August 11, 2026

Data-Efficient Unsupervised Recalibration of Calorimeter Sensor Arrays Using Wasserstein Adversarial Learning

Ali S., Bocharnikov V., Ratnikov F. et al., Sensors 2026 Vol. 26 No. 16 Article 5024

Large distributed sensor arrays require repeated recalibration as radiation damage, material aging, gain variation, and readout drift alter channel responses. We studied a high-granularity calorimeter as a large sensor array and addressed unsupervised recalibration from two unpaired datasets: a nominal reference response and an aged response with attenuated cell-wise signals. Aging was modeled by a ...

Added: August 11, 2026

Трубочкина, Н. К. Основы технологии производства и машинное обучение : учебник для вузов / Н. К. Трубочкина. — Москва : Издательство Юрайт, 2026. — 383 с. — (Высшее образование). — ISBN 978-5-534-22010-0.

Trubochkina N. K., М.: Издательство «Юрайт», 2026.

This textbook is designed to develop students' holistic understanding of modern production processes and methods for their analysis and management using machine learning technologies. In the context of the fourth industrial revolution, where traditional engineering disciplines are inextricably intertwined with intelligent data processing methods, there is a growing need for specialists capable of integrating knowledge ...

Added: August 8, 2026

Maps preserving two small values of λ-th upper scrambling index

Kulev Y., Maksaev A., Promyslov V., Linear Algebra and its Applications 2026 Vol. 730 P. 51–72

The notion of λ-th upper scrambling index was introduced by Huang and Liu in 2010, as a generalization of a notion considered by Akelbek and Kirkland in 2009. For a primitive digraph D, it is defined as the smallest positive integer k such that for every λ vertices of D there exist directed paths of lengths k from these vertices to a common vertex. This ...

Added: August 7, 2026

On the Matchings-Jack and Hypermap-Jack Conjectures for Labelled Matchings and Star Hypermaps

Kanunnikov A., Promyslov V., Vassilieva E., Electronic Journal of Combinatorics 2024 Vol. 31 No. 3 Article P3.6

Introduced by Goulden and Jackson in their 1996 paper, the matchings-Jack conjecture and the hypermap-Jack conjecture (also known as the b-conjecture) are two major open questions relating Jack symmetric functions, the representation theory of the symmetric groups and combinatorial maps. They show that the coefficients in the power sum expansion of some Cauchy sum for ...

Added: August 7, 2026

WWW '23 Companion: Companion Proceedings of the ACM Web Conference 2023

Фирсанова В. И., ACM, 2026.

The inclusion of autistic people can be augmented by a mobile app that provides information without a human mediator making information perception more liberating for people in the spectrum. This paper is an overview of a doctoral work dedicated to the development of a web-based mobile tool for supporting the inclusion of people on the ...

Added: August 4, 2026

Joint Proceedings of the ESWC 2025 Workshops and Tutorials co-located with 22nd Extended Semantic Web Conference (ESWC 2025), Portorož, Slovenia, June 1-2, 2025.

Фирсанова В. И., Хлусова Я. К., CEUR Workshop Proceedings, 2025.

Knowledge graphs are widely used in Retrieval Augmented Generation (RAG) and Explainable AI (XAI), since they can illustrate semantic relationships generated by Large Language Models (LLMs). Recent studies focus on generating knowledge graphs from unstructured data to improve RAG performance; however, they do not explain the underlying graph structure. The analysis of synthetic graphs behind ...

Added: August 4, 2026

From hyperbolic to complex Euler integrals

Spiridonov V. P., Belousov N. M., Sarkissian G. A., Analysis and Mathematical Physics 2026 Vol. 16 Article 96

Hyperbolic hypergeometric integrals are defined as Barnes-type integrals of products of hyperbolic gamma functions. Their reduction to ordinary hypergeometric functions is well known. We study in detail their degeneration to complex hypergeometric functions. Namely, using uniform bounds on the integrands, we prove that the univariate hyperbolic beta integral and the conical function degenerate to two-dimensional ...

Added: August 4, 2026

Flexibility criterion for affine horospherical varieties

Gayfullin S., Kikteva V., Results in Mathematics 2026 Vol. 81 No. 5 Article 146

In this paper we obtain a criterion of flexibility for an affine complexity-zero horospherical variety. This result generalizes previously known results on flexibility of normal horospherical varieties, horospherical varieties with an action of a semisimple group, and non-normal toric varieties. ...

Added: August 3, 2026

О полуортогональных разложениях производных категорий диаграммных схем

Lunts V., Функциональный анализ и его приложения 2026 Т. 60 № 3 С. 127–129

Доказано, что канонические полуортогональные разложения производной категории диаграммной схемы индуцируют аналогичные разложения подкатегории совершенных комплексов. ...

Added: August 3, 2026

Mathematical methods of reinforcement learning

Belomestny D., Gasnikov A., Gladin E. et al., Russian Mathematical Surveys 2026 Vol. 81 No. 4(490) P. 3–90

Reinforcement learning (RL) is increasingly grounded in tools from probability, optimization, and operator theory. This survey organizes the mathematical structures that underpin the design and analysis of modern algorithms in RL. We begin from Markov decision processes (MDPs) and the Bellman operators, emphasizing contraction mappings, monotonicity, and fixed-point theory that yield convergence guarantees and rates ...

Added: August 3, 2026

Анализ корпусов текстов на естественных языках. Математические методы. Учебное пособие

Chepovskiy A., М.: Мастерская Печати Идей, 2026.

The textbook presents methods and algoгithms for automatic analysis of соrроrа of texts in natural languages. It is intended fоr sfudenБ of methods of processing texts in паtчrаl languages and creating training arays of texts. Fоr students, graduate students and researchers studying methods of computational linguistics and word processing. ...

Added: August 1, 2026

A. Radomskii, Mathematical notes 2026 Vol. 119 No. 6 P. 1136–1147

We obtain an upper bound for the sum $\sum_{n\leq N} (a_{n}/\varphi (a_{n}))^{s}$, where $\varphi$ is Euler's totient function, $s\in\mathbb{N}$, and $a_{1},\ldots, a_{N}$ are positive integers (not necessarily distinct) with some restrictions. As applications, for any $t>0$, we obtain an upper bound for the number of $n\in [1,N]$ such that $a_{n}/ \varphi (a_{n})> t$. ...

Added: July 31, 2026

Хайдеггер глазами русских

Митлянская М. Б., Финиковый компот 2020 № 15 С. 263–266

Review of the anthology "Pro et contra" which has collected the works of several generations of Russian philosophers about Martin Heidegger. More than seventy articles, reviews and excerpts from books of the most significant researchers in this field, according to the editors of the almanac. Author of the review provides general information about the content ...

Added: July 31, 2026

Three Algorithms for Merging Hierarchical Navigable Small World Graphs

Ponomarenko A., / Series Computer Science "arxiv.org". 2025.

This paper addresses the challenge of merging hierarchical navigable small world (HNSW) graphs, a critical operation for distributed systems, incremental indexing, and database compaction. We propose three algorithms for this task: Naive Graph Merge (NGM), Intra Graph Traversal Merge (IGTM), and Cross Graph Traversal Merge (CGTM). These algorithms differ in their approach to vertex selection ...

Added: July 30, 2026

New bound on S1× S2-setting Bell locality of a nonseparable Werner state

Loubenets E. R., / Series arxiv.org "quant-ph". 2026. No. 2607.18050.

In many quantum applications it is important to know whether or not a Bell nonlocal two-qudit state exhibits its nonlocality under correlation scenarios with some given numbers S1,S2≥1 of generalized quantum measurements at two sites. In the present article, we find analytically a new general locality condition sufficient for a nonseparable Werner state with a ...

Added: July 21, 2026

On functional equations for Chow polylogarithms

Bolbachan V., / Series math "arxiv.org". 2024.

Chow polylogarithms are some special functions arising in explicit description of the Beilinson regulator map. The most interesting functional equation for this function reflects its vanishing on the boundary in the Bloch's cycle complex. We show that this functional equation formally follows from more simple ones, namely skew-symmetry, functoriality and multiplicativity. To prove this, we study ...

Added: July 16, 2026

On Goncharov’s conjecture in next to Milnor degree

Bolbachan V., / Series math "arxiv.org". 2024.

Let K be a field of characteristic zero. We prove that its motivic cohomology in degree m−1 and weight m is rationally isomorphic to the cohomology of the polylogarithmic complex. This gives a partial extension of A. Suslin theorem describing the indecomposable K3 of a field. ...

Added: July 16, 2026

Statistical inference based on band-limited kernels: Rational-infinitely divisible distributions and beyond

Panov V., Ryabchenko A., / Series arXiv "stat.ME". 2026. No. 2607.05048.

This paper investigates the problem of statistical inference for a mixture distribution consisting of a discrete and a continuous component, with a particular focus on the class of rational-infinitely divisible distributions. We consider non-parametric estimation of both components of the mixture as well as the quasi-L{é}vy measure, assuming that the mixture belongs to the class ...

Added: July 9, 2026