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Reconstruction of manifold embeddings into Euclidean spaces via intrinsic distances
ESAIM - Control, Optimisation and Calculus of Variations. 2024. Vol. 30. Article 3.
We consider the problem of reconstructing an embedding of a compact connected Riemannian manifold in a Euclidean space up to an almost isometry, given the information on intrinsic distances between points from its “sufficiently large” subset. This is one of the classical manifold learning problems. It happens that the most popular methods to deal with such a problem, with a long history in data science, namely, the classical Multidimensional scaling (MDS) and the Maximum variance unfolding (MVU), actually miss the point and may provide results very far from an isometry; moreover, they may even give no bi-Lipshitz embedding. We will provide an easy variational formulation of this problem, which leads to an algorithm always providing an almost isometric embedding with the distortion of original distances as small as desired (the parameter regulating the upper bound for the desired distortion is an input parameter of this algorithm).
Бурдонов И. Б., Evtushenko N. V., Косачев А. С. et al., Труды Института системного программирования РАН 2025 Т. 37 № 5 С. 7–32
Статья является продолжением предыдущей статьи авторов, в которой строится абстрактная модель распределенной сети, содержащей только хосты и коммутаторы. Хосты предлагают пользователям пакеты определенных услуг (сервисов), сообщения (запросы) между хостами пересылаются через промежуточные узлы по правилам коммутации, и настройка узлов определяет множество путей от хоста к хосту, по которым будут пересылаться пакеты. Ситуация моделируется с использованием ...
Added: October 30, 2026
Бурдонов И. Б., Evtushenko N. V., Косачев А. С. et al., Труды Института системного программирования РАН 2025 Т. 37 № 4-1 С. 7–30
В работе строится абстрактная модель распределенной сети, содержащей только хосты и коммутаторы, которая позволяет оценить классы задач, которые необходимо решать в такой сети, принимая во внимание, в том числе, нефункциональные параметры. Предполагается, что хосты предлагают пакеты определенных услуг (сервисов) и сообщения (запросы) между хостами пересылаются через промежуточные узлы по правилам коммутации. Правило определяет, каким соседним ...
Added: October 30, 2026
Бурдонов И. Б., Evtushenko N. V., Косачев А. С., PROGRAMMING AND COMPUTER SOFTWARE 2025 Vol. 51 No. 4 P. 224–241
In this paper, the problem of distributed network survivability is investigated. A distributed system is modeled by a finite connected undirected graph the nodes of which are divided into two types: hosts and switches. Hosts perform computational functions, while switches are used for message passing between hosts. The survivability of the system is understood as ...
Added: October 30, 2026
Бурдонов И. Б., Evtushenko N. V., Косачев А. С., Программирование 2025 № 4 С. 11–32
Исследуется проблема живучести распределенных сетей. Распределенная система моделируется конечным связным неориентированным графом, вершины которого делятся на два типа: хосты и коммутаторы. Хосты выполняют вычислительные функции, а коммутаторы обеспечивают доставку сообщений между хостами. Под живучестью системы понимается ее способность выполнять свои основные функции по передаче сообщений после выхода из строя некоторых ребер графа. Решение проблемы живучести ...
Added: October 30, 2026
M.: Pleiades Publishing, Ltd. (Плеадес Паблишинг, Лтд), 2025.
Programming and Computer Software is a peer-reviewed journal devoted to various problems in all areas of computer science: operating systems, compiler technology, software engineering, artificial intelligence, etc. The journal publishes original manuscripts submitted in English, as well as works translated from several other journals. The sources of content are indicated at the article level. The ...
Added: October 30, 2026
Karminsky A. M., Chernikov B. V., М.: НИЦ Инфра-М, 2026.
Рассмотрены методологические вопросы создания финансово-экономических информационных систем, проблемы информатизации производственной и дистрибьютерской деятельности, темы адаптации типовых систем в бизнес-структурах, в том числе систем поддержки офисной деятельности. Для студентов учреждений среднего профессионального образования, обучающихся по укрупненным группам специальностей 09.02.00 «Информатика и вычислительная техника», 38.02.00 «Экономика и управление», экономистов, юристов, предпринимателей и финансистов, а также специалистов и ...
Added: October 30, 2026
Borzykh D., Орлов Н. А., Экономический журнал Высшей школы экономики 2026 Т. 30 № 3 С. 457–486
This study compares two estimation approaches for the stochastic volatility (SV) model,
namely quasi-maximum likelihood (QML) and Markov chain Monte Carlo (MCMC). A simulation exercise shows that MCMC delivers markedly more accurate parameter estimates than
QML. However, QML remains substantially faster and far less computationally demanding,
which makes it attractive in large-scale empirical applications. To the best of ...
Added: October 29, 2026
Guerreiro I., Sergey Skorokhod, di Volo M. et al., Communications in Nonlinear Science and Numerical Simulation 2027 Vol. 164 Article 110954
The collective dynamics of spiking networks of neurons has been of central interest to both computational
neuroscience and network science. Over the past years, a new generation of neural
population models based on exact reductions (ER) of spiking networks have been developed.
However, most of these efforts have been limited to networks of neurons with simple dynamics
(e.g. the ...
Added: October 29, 2026
Sergey Slavnov, / Series math "arxiv.org". 2026.
A prototypical example of categorial grammars are those based on Lambek calculus, i.e. noncommutative intuitionistic linear logic. However, it has been noted that purely noncommutative operations are often not sufficient for modeling even very simple natural language phenomena. Therefore a number of alternative formalisms are considered in the literature: those using purely ``commutative'' linear logic ...
Added: October 29, 2026
Association for Computational Linguistics, 2026.
While Large Language Models (LLMs) have revolutionized NLP, they remain prone to hallucinations, reasoning “mode-collapse” in open-ended generation, and a lack of factual provenance. The Automated Knowledge Base Construction (AKBC) workshop addresses a key missing piece of the generative era: structured knowledge. Knowledge Bases (KBs) serve as ground truth for fact verification, the semantic backbone ...
Added: October 28, 2026
Nikitiuk B., Lenev D., Pisarev V. et al., Journal of Colloid and Interface Science 2026 Vol. 718 Article 140444
Hypothesis:Accurate determination of interfacial tension values is crucial for many modeling applications in the oil and gas industry. However, many of the presently used empirical and theoretical models show poor prediction accuracy and do not allow for direct consideration of the concentrations of gases and salts dissolved in the system as well as the specific ...
Added: October 28, 2026
Deshchenya V., Nikolay D. Kondratyuk, Sivakova A. et al., Chemical Engineering Sciences 2027 Vol. 337 Article 124616
Accurate prediction of complex formulation viscosity is crucial for the lubricant industry and engineering processes. However, developing generalizable models remains challenging due to the complexity of industrial mixtures and the scarcity of public experimental data, often resulting from corporate proprietary restrictions. This study presents a machine-learning workflow for viscosity estimation from a proprietary pseudonymized dataset, ...
Added: October 28, 2026
Zubov A., Zubov A., Малявко, Я. et al., Computer Physics Communications 2025 Vol. 317 Article 109860
The concept of representative volume (REV, or RVE in material sciences) is the cornerstone of continuum scale models – one needs to get the volume big enough so that it could be represented with an averaged value (scalar, vector or tensorial, etc.). While REV should be established in all larger scale simulations, this is rarely ...
Added: October 28, 2026
Roman Prosvirnin, Suslov A., Aleksei Soldatov et al., Computation 2026 Vol. 14 No. 10 Article 261
Abstract
Safety-aligned language models often encode that a request is harmful yet still comply with it. We turn this gap between internal recognition and observable behavior into an inference-time defense. The proposed activation-steering method uses a multiplicative operator that amplifies the residual-stream component along a harm-recognition direction. Intervention strength scales with the model’s own assessment of ...
Added: October 27, 2026
Aleksei Samarin, Nazarenko A., Nazarenko D. et al., Big Data and Cognitive Computing 2026 Vol. 10 No. 11 P. 1–52
Camera traps are a key tool for non-invasive wildlife monitoring, yet models trained on existing benchmarks often generalize poorly to new regions due to domain shift, class imbalance, and natural variability in illumination, season, and background. We introduce PACTraD, a benchmark of 116,973 annotated camera trap images collected in a protected area of the Baikal ...
Added: October 27, 2026
IEEE, 2026.
Proceedings of the X Scientific School "Dynamics of Complex Networks and their Applications"
(DCNA'2026) contain papers of reports of scientists and specialists in the field of intelligent technologies,
engineering education, research and design of complex networks.
DCNA'2026 was held from 10 to 12 September 2026 in Moscow, Russia, as a part of the International
Forum on Artificial Intelligence and ...
Added: October 26, 2026
Maddalena L., Yildiz B., Del Vecchio Blanco F. et al., Scientific data 2026 P. 1–20
We addressed the task of chemical characterization of the aerosol emitted by heated tobacco products (HTPs) and of the smoke emitted by conventional/commercial cigarettes, usually adopted as a reference. Emphasis was placed on quantifying constituents for enabling the identification of novel compounds through targeted and untargeted analyses, and the evaluation of reductions in toxicant exposure under ...
Added: October 26, 2026
Flamarion M. V., Pelinovsky E., Wave Motion 2027 Vol. 148 Article 103867
We consider the interaction of two solitary waves in the modified Benjamin–Bona–Mahony
(mBBM) equation in a regime where a small parameter measures the departure from the classical
modified Korteweg–de Vries (mKdV) equation. A regular perturbation method is used to
analyze the modification of the two-soliton wave field induced by the weak non-integrability of
the mBBM equation. We show that, ...
Added: October 23, 2026
Kachan O., Yanovich Y., Abramov E., Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 2018 Vol. 160 No. 2 P. 300–308
According to the manifold hypothesis, high-dimensional data can be viewed and meaning- fully represented as a lower-dimensional manifold embedded in a higher dimensional feature space. Manifold learning is a part of machine learning where an intrinsic data representation is uncovered based on the manifold hypothesis.
Many manifold learning algorithms were developed. The one called Grassmann&Stiefel eigenmaps ...
Added: January 21, 2026
Марченко И. А., Ronko R., В кн.: Исследования по славянской диалектологии. Выпуск 25Т. 25.: М.: Институт славяноведения РАН, 2025. Гл. 5 С. 236–260.
This paper presents a classification of Russian dialects based on data from the Dialectological Atlas of the Russian Language, using the method of multidimensional scaling. The main outcome of the study is a map of the Russian dialectal space, which identifies six zones (three western and three eastern) and corresponding sets of dialectal features. The ...
Added: December 7, 2025
Kroshnin A., Eugene Stepanov, Trevisan D., ESAIM - Control, Optimisation and Calculus of Variations 2022 Vol. 28 Article 58
For a given metric measure space (X, d, μ) we consider finite samples of points, calculate the matrix of distances between them and then reconstruct the points in some finite-dimensional space using the multidimensional scaling (MDS) algorithm with this distance matrix as an input. We show that this procedure gives a natural limit as the number ...
Added: November 15, 2022
Puchkin N., Spokoiny V., Journal of Machine Learning Research 2022 Vol. 23 No. 40 P. 1–62
We consider a problem of manifold estimation from noisy observations. Many manifold learning procedures locally approximate a manifold by a weighted average over a small neighborhood. However, in the presence of large noise, the assigned weights become so corrupted that the averaged estimate shows very poor performance. We suggest a structure-adaptive procedure, which simultaneously reconstructs ...
Added: February 3, 2022
Alanov A., Kochurov M., Volkhonskiy D. et al., , in: Proceedings of the 15th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications (VISAPP 2020)Vol. 4.: SciTePress, 2020. P. 214–221.
We propose a novel multi-texture synthesis model based on generative adversarial networks (GANs) with a user-controllable mechanism. The user control ability allows to explicitly specify the texture which should be generated by the model. This property follows from using an encoder part which learns a latent representation for each texture from the dataset. To ensure ...
Added: November 8, 2020
Kachan O. N., Yanovich Y., Abramov E., Ученые записки Казанского университета. Серия: Физико-математические науки 2018 Vol. 160 No. 2 P. 300–308
According to the manifold hypothesis, high-dimensional data can be viewed and meaningfully represented as a lower-dimensional manifold embedded in a higher dimensional feature space. Manifold learning is a part of machine learning where an intrinsic data representation is uncovered based on the manifold hypothesis.
Many manifold learning algorithms were developed. The one called Grassmann & Stiefel eigenmaps (GSE) ...
Added: October 29, 2020