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Subject
News
August 25, 2026
Scientists Develop Algorithm for More Reliable Processors in Data Centres
Researchers from HSE MIEM and Samara University have developed the LRF-3D algorithm to automatically bypass idle nodes in three-dimensional networks-on-chip. Thanks to its hierarchical architecture, the algorithm outperforms existing solutions in both speed and path accuracy, improving processor reliability for use in data centres, supercomputers, and AI computing. The source code and test results are publicly available.
August 24, 2026
Researchers Develop Method for Direct Generation of Regulatory DNA
Researchers at HSE University have developed a model for generating promoters and enhancers—DNA sequences that regulate gene activity. The model works directly with DNA nucleotides, without first transforming them into a continuous numerical representation. This solution could be useful for applications in synthetic biology and gene therapy. The study results were presented at the ICLR 2026 Workshop ‘Generative AI in Genomics (Gen^2): Barriers and Frontiers.’
August 21, 2026
Social Integration: At the Crossroads of Knowledge and Values
The International Laboratory for Social Integration Research (ILSIR) at HSE University studies the challenges faced by vulnerable groups and explores ways to help them participate fully in everyday life. To develop effective solutions, the laboratory’s researchers combine cutting-edge methods with practical fieldwork. In this interview with the HSE News Service, Laboratory Head Elena Iarskaia-Smirnova discusses the laboratory’s work.

 

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ЭНТРОПИЙНО-РАНДОМИЗИРОВАННОЕ ОЦЕНИВАНИЕ ПАРАМЕТРОВ НЕЛИНЕЙНОЙ ДИНАМИЧЕСКОЙ МОДЕЛИ ПО НАБЛЮДЕНИЯМ ЗАВИСИМОГО ПРОЦЕССА

Челябинский физико-математический журнал. 2024. Т. 9. № 1. С. 144–159.
Popkov A., Dubnov Y. A., Popkov Y.
Research target: Mathematics Computer Science
Language: Russian
Full text
DOI
Text on another site
Keywords: энтропияпрогнозированиерандомизированное машинное обучениеэнтропийное оценивание
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Semi-Interlaced Polytopes
Селянин Ф. И., Moscow Mathematical Journal 2026 Vol. 26 No. 2 P. 167–187
Minkowski mixed volume of n subpolytopes D1,…,Dn of a polytope P⊂Rn clearly does not exceed the normalized volume n!Vol(P). Equality holds if and only if the subpolytopes are interlaced, i.e., each proper face F⊊P intersects at least dim(F)+1 of the polytopes Di. Efficiently computing mixed volumes for more general collections of subpolytopes is crucial for estimating the complexity of numerically solving polynomial systems. Motivated by relaxing the bound dim(F)+1 to dim(F), we ...
Added: August 31, 2026
A new spin on polynomial relations among kappa classes
Kazaryan M., Dunin-Barkowski P., Bychkov B. et al., International Mathematics Research Notices 2026 Vol. 14 Article rnag146
We prove a recent conjecture of the fourth named author with P. Norbury that states a system of universal polynomial relations among the kappa classes on the moduli spaces of algebraic curves. The proof involves localization and materialization analysis of the spin Gromov–Witten theory of the projective line and is dictated by Z 2 -equivariant ...
Added: August 31, 2026
Any Topological Recursion on a Rational Spectral Curveis KP Integrable
Kazaryan M., Dunin-Barkowski P., Bychkov B. et al., Communications in Mathematical Physics 2026 Vol. 407 No. 69
We prove that for any initial data on a genus zero spectral curve the cor responding correlation differentials of topological recursion are KP integrable. As an application we prove KP integrability of partition functions associated via ELSV-type formulas to the r-th roots of the twisted powers of the log canonical bundles ...
Added: August 31, 2026
Сплетенный мир: кошка перевернулась. Доклад Римскому клубу
Gromov V., Переслегин С. Б., Переслегина Е. Б. et al., СПб.: Полакс, 2026.
Механизм происходящих в мире изменений носит эволюционный, а не экологический характер. Иначе говоря, Человечество столкнулось с кризисом развития, который имеет три независимые составляющие: кризис индустриального общества (фазовый кризис), кризис научного мышления (эпистемный кризис) и кризис формата существования разума (социосистемный кризис). Доклад посвящён аспектам этого триединого кризиса и возможным путям его преодоления, не сводящимся к первичному ...
Added: August 31, 2026
АДАПТИВНОЕ LSB-ВНЕДРЕНИЕ ДАННЫХ С ВЫСОКОЙ ЕМКОСТЬЮ В МЕДИЦИНСКИЕ ИЗОБРАЖЕНИЯ
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The purpose of the study: the development of an approach for covert embedding of patient personal data and data integrity verification markers into medical images, ensuring no distortion of critical diagnostic information. Method: an adaptive method based on Least Significant Bit (LSB) substitution is proposed. To enhance stealth and robustness, embedding is performed selectively – ...
Added: August 31, 2026
Multiplicity-free products of Schubert divisors
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
Mukai models of Fano varieties
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
Mukai bundles on Fano threefolds
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
Full exceptional collections on the symplectic isotropic Grassmannians
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
Exceptional pairs on del Pezzo surfaces and spaces of compatible Feigin-Odesskii brackets
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
Analog of theta-lifting for a curve over dual numbers over a finite field
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
Quasi-periodic structures and "shrimps" in chaos on the example a two-mode van der Pol generator
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
Approximation of continuous functions on a compact set by solutions of elliptic equations. Quantitative results.
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
Discrete Markowitz Portfolio Optimization with Open-Source Classical and Quantum-Inspired Solvers: A Cross-Market Walk-Forward Study
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
Benchmarking Synolitic Graphs for Autism Classification from Multisite Resting-State fMRI
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
Pyramidal solitons: existence, instability, and interactions
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
Алгебра, теория чисел, дискретная геометрия и многомасштабное моделирование. Современные проблемы, приложения и проблемы истории. Материалы XXIV Международной конференции, 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
Тула: Тульский государственный педагогический университет им. Л.Н. Толстого, 2025.
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Added: August 27, 2026
Анализ качества методов корректировки и комбинирования прогнозов внешнеторговых показателей
Астафьева Е.В., Турунцева М. Ю., Вестник Евразийской науки 2025 Т. 17 № 6
В работе исследуются возможности использования простых процедур корректировки и объединения прогнозов. Мы оцениваем влияние применения этих процедур (методов простой корректировки, простых и регрессионных методов комбинирования) на качество прогнозов показателей российского экспорта во все страны и импорта из всех стран. В общей сложности мы использовали четыре метода корректировки, 9 методов простого комбинирования и семь регрессионных методов. ...
Added: August 21, 2026
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Троцкая И. А., Львова О. А., Короткова Е. В. et al., В кн.: Медицинское образование, наука, практика : Сборник статей X Международной научно-практической конференции молодых ученых и студентов, 22-23 апреля 2025 г. Т.2.: Екатеринбург: ФГБОУ ВО УГМУ Минздрава России, 2025. С. 673–679.
Pediatric ischemic stroke is considered to be a rare condition. Correct recognition of the acute symptoms and further monitoring of the dynamics of them may allow predicting the child's development and further adaptation. The aim of the study was to provide clinical and imaging features of the acute period of ischemic stroke with debut at an ...
Added: March 2, 2026
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Formal demographic analysis, including the construction of life tables, standardization of indicators, decomposition of changes, and modeling of demographic processes, requires complex calculations and data manipulation. Despite the advances in methods, many of them have not yet been implemented as ready-to-use, convenient tools in modern statistical environments. To address this issue, we present the demor ...
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Added: December 11, 2025
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Added: November 19, 2025
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The paper summarizes machine-learning (ML) methods most relevant to macroeconomics and assesses their performance in forecasting and nowcasting key macro indicators. Despite rapid methodological progress and a surge of publications over the past 25 years, gains in forecast accuracy with traditional statistical (economic, financial, and survey) data remain modest. ML models often outperform naïve and ...
Added: October 12, 2025
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