On Stable Solutions to the Ordinal Social Choice Problem

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On Stable Solutions to the Ordinal Social Choice Problem

Доклады Академии наук. 2009. Vol. 79. No. 3. P. 437–439.

Translator: Subochev A.

Editor of translation: Aleskerov F. T.

A concept of k-stable alternatives is introduced. Relationship of classes of k-stable alternatives with dominant, uncovered and weakly stable sets is established.

Research target: Mathematics Computer Science Economics and Management

Priority areas: IT and mathematics

Влияет ли финансовое состояние компаний на прогностическую точность DCF-модели?

Федоров Н. С., Финансовый журнал 2025 Т. 17 № 6 С. 99–112

The DCF model is one of the most commonly used models in valuing companies for investment deci sions. Nevertheless, estimating the accuracy of this model remains an important research question. This article presents an assessment of the accuracy of DCF model specifications based on analyzing the variance of fair share prices of companies listed on ...

Added: May 15, 2026

Предсказательная точность целевых цен акций: сравнение прогнозов аналитиков и машинного обучения

Федоров Н. С., Финансы и бизнес 2025 Т. 21 № 3 С. 34–50

Currently, the role of artificial intelligence is increasingly playing a significant role in various fields, including the increasing role of machine learning in finance. On the other hand, company valuation remains an important part of research due to its difficulty in correctly predicting the accuracy of target stock prices. This study provides an analysis of ...

Added: May 15, 2026

2-Elliptic Periodic Orbits near a Nonsimple Homoclinic Tangency in Four-Dimensional Symplectic Maps

Lerman L. M., Turaev D. V., Regular and Chaotic Dynamics 2026 Vol. 31 No. 3 P. 349–369

We show that bifurcations of four-dimensional symplectic diffeomorphisms with a quadratic homoclinic tangency to a saddle periodic orbit with real multipliers produce 2-elliptic periodic orbits if the tangency is not partially hyperbolic. We show that a normal form for the rescaled first-return maps near such tangency is given by a four-dimensional symplectic H´enonlike map and study bifurcations of the ...

Added: May 15, 2026

Bibliometric Analysis by Network Models

Aleskerov F. T., Yakuba V. I., Khutorskaya O. 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

Neural-network maps for two-parameter modeling of bistability and codimension-two bifurcations in two-dimensional flow dynamical systems

Kuptsov P., Panyushev A., Stankevich N., Chaos 2026 Vol. 36 No. 5 Article 053138

We develop a machine-learning approach to reproduce the behavior of two versions of the van der Pol oscillator exhibiting a subcritical Andronov–Hopf bifurcation, with or without a codimension-2 Bautin point. We construct a neural-network model that functions as a recur rent map and train it on short segments of oscillator trajectories. The results show that, ...

Added: May 15, 2026

Bifurcations and Structural Stability of Generic PC-HC Families

Dorovskiy A., / Series arXiv "math". 2026.

In this paper the structural stability of generic families of vector fields of the PC-HC class on the two-dimensional sphere is proved. A classification of these families up to moderate equivalence in neighborhoods of their large bifurcation supports is presented, based on such invariants as the configuration and the characteristic set. The realization lemma is proved. ...

Added: May 14, 2026

The Sobolev space W_2^{1/2}: Simultaneous improvement of functions by a homeomorphism of the circle

Lebedev V., Journal of Mathematical Analysis and Applications 2026 Vol. 563 No. 2 Article 130787

It is known that for every continuous real-valued function $f$ on the circle $\mathbb T=\mathbb R/2\pi\mathbb Z$ there exists a change of variable, i.e., a self-homeomorphism $h$ of $\mathbb T$, such that the superposition $f\circ h$ is in the Sobolev space $W_2^{1/2}(\mathbb T)$. We obtain new results on simultaneous improvement of functions by a single change of variable in relation ...

Added: May 14, 2026

The interplay of objective fat content and subjective fat perception in determining consumer acceptance of bovine milk

Semenova D., Radygina A., Zaripova J. et al., Nutrition and Food Science 2026 P. 1–13

Purpose This study aims to investigate how objective (chemical composition, processing method) and subjective (perceived fat content) milk characteristics influence taste perception. Design/methodology/approach A blind tasting experiment was conducted with 36 participants who evaluated six commercial milk samples (all 2.5% fat) differing in thermal processing and brand territorial coverage. Each sample was tasted twice, yielding 432 observations. Fatty ...

Added: May 14, 2026

Natural hazard database from Internet publications: text mining with a large language model

Derkacheva A., Sakirkina M., Kraev G. et al., /. 2026.

Comprehensive data on natural hazards and their consequences are crucial for effective for risk assessment, adaptation planning, and emergency response. However, many countries face challenges with fragmented, inconsistent, and inaccessible data, particularly regarding local-scale events. To address this data gap in Russia, we developed an end-to-end processing pipeline that scrapes news from various online sources, ...

Added: April 28, 2026

Ising models on the hydrogen peroxide and other lattices

Qin X., Deng Y., Shchur L. et al., / Series arXiv "math". 2026. No. 2603.02962.

We perform a Monte Carlo analysis of the Ising model on many three-dimensional lattices. By means of finite-size scaling we obtain the critical points and determine the scaling dimensions. As expected, the critical exponents agree with the three-dimensional Ising universality class for all models. The irrelevant field, as revealed by the correction-to-scaling amplitudes, appears to ...

Added: April 20, 2026

Algorithmic overlaps as thermodynamic variables: from local to cluster Monte Carlo dynamics in critical phenomena

Pilé I., Deng Y., Shchur L., / Series arXiv "math". 2026. No. 2604.10254.

We investigate the spatial overlap of successive spin configurations in Markov chain Monte Carlo simulations using the local Metropolis algorithm and the Svendsen-Wang and Wolff cluster algorithms. We examine the dynamics of these algorithms for two models in different universality classes: the Ising model and the Potts model with three components. The overlap of two ...

Added: April 20, 2026

Using predefined vector systems to speed up neural network multimillion class classification

Gabdullin N., Androsov I., / Series Computer Science "arxiv.org". 2026.

Label prediction in neural networks (NNs) has O(n) complexity proportional to the number of classes. This holds true for classification using fully connected layers and cosine similarity with some set of class prototypes. In this paper we show that if NN latent space (LS) geometry is known and possesses specific properties, label prediction complexity can ...

Added: April 2, 2026

Iterative Ricci-Foster Curvature Flow with GMM-Based Edge Pruning: A Novel Approach to Community Detection

Sorokin K., Beketov M., Онучин А. et al., / arxiv.org. Серия cs.SI "Social and Information Networks ". 2025.

Community detection in complex networks is a fundamental problem, open to new approaches in various scientific settings. We introduce a novel community detection method, based on Ricci flow on graphs. Our technique iteratively updates edge weights (their metric lengths) according to their (combinatorial) Foster version of Ricci curvature computed from effective resistance distance between the ...

Added: January 15, 2026

Implementing Transport Coding in OMNeT++ for Message Delay Reduction

Petrovanov I., Sergeev A., / Series Computer Science "arxiv.org". 2025. No. 2512.18332.

Transport coding reduces message delay in packet-switched networks by introducing controlled redundancy at the transport layer: original packets are encoded into coded packets, and the message is reconstructed after the first successful deliveries, effectively shifting latency from the maximum packet delay to the -th order statistic. We present a concise, reproducible discrete-event implementation of transport coding in OMNeT++, including ...

Added: December 24, 2025

Hessian-based lightweight neural network for brain vessel segmentation on a minimal training dataset

Меньшиков И. А., Бернадотт А. К., Elvimov N. S., / Series arXie "Statistical mechanics". 2025.

Accurate segmentation of blood vessels in brain magnetic resonance angiography (MRA) is essential for successful surgical procedures, such as aneurysm repair or bypass surgery. Currently, annotation is primarily performed through manual segmentation or classical methods, such as the Frangi filter, which often lack sufficient accuracy. Neural networks have emerged as powerful tools for medical image ...

Added: December 1, 2025

Determining the boundary of dynamical chaos in the generalized Chirikov map via machine learning

Чернышов Д. П., Satanin A., Shchur L., / Series arXiv "math". 2025.

We investigate the boundary separating regular and chaotic dynamics in the generalized Chirikov map, an extension of the standard map with phase-shifted secondary kicks. Lyapunov maps were computed across the parameter space (K,K(α, τ)) and used to train a convolutional neural network (ResNet18) for binary classification of dynamical regimes. The model reproduces the known critical ...

Added: November 21, 2025

Эффективный алгоритм торговли на фондовом рынке: ретроспективный анализ, основанный на данных по S&P-500.

Rubchinskiy A., Chubarova D., / Series WP7 "Математические методы анализа решений в экономике, бизнесе и политике". 2025. No. WP7/2025/01.

The article examines one of the most famous examples of socio-economic systems, characterized by significant uncertainty – the S&P-500 stock market, where shares of 500 largest US companies are traded. No assumptions are made about the probabilistic characteristics of the stock market. A flexible algorithm for daily trading has been developed, based on both known fixed data ...

Added: November 9, 2025

Diffusion on language model embeddings for protein sequence generation

Meshchaninov V., Strashnov, P., Shevtsov A. et al., / Cornell University. Серия CoRR, arXiv:2403.03726 "Computing Research Repository,". 2025.

Protein design requires a deep understanding of the inherent complexities of the protein universe. While many efforts lean towards conditional generation or focus on specific families of proteins, the foundational task of unconditional generation remains underexplored and undervalued. Here, we explore this pivotal domain, introducing DiMA, a model that leverages continuous diffusion on embeddings derived ...

Added: October 5, 2025

Smoothie: Smoothing Diffusion on Token Embeddings for Text Generation

Shabalin A., Meshchaninov V., Vetrov D., / Series cs.CL, arXiv:2505.18853 "Computation and Language". 2025.

Diffusion models have achieved state-of-the-art performance in generating images, audio, and video, but their adaptation to text remains challenging due to its discrete nature. Prior approaches either apply Gaussian diffusion in continuous latent spaces, which inherits semantic structure but struggles with token decoding, or operate in categorical simplex space, which respect discreteness but disregard semantic ...

Added: October 5, 2025

A Feature Engineering Framework for Computer Vision Based on Topological Data Analysis

Абрамов А. С., Chernyshev V. L., Mikhaylets E. et al., / Series Social Science Research Network "Social Science Research Network". 2025.

Computer vision is one of the most relevant modern research areas with broad practical applications. However, traditional solutions based on deep learning have signicant limitations and can be misleading. Topological data analysis, on the other hand, is a modern approach to solving similar problems using mathematically deterministic methods of algebraic topology that reduce the risk ...

Added: September 23, 2025

On the construction of frieze patterns from partitions of convex polygons by nonintersecting diagonals

Kochetkov Y., / Series arXiv.org e-print archive "arXiv.math". 2025. No. 07600.

We demonstrate in an elementary way how to construct a frieze pattern of width m-3 from a partition of a convex m-gon by not intersecting diagonals. ...

Added: September 17, 2025

On one property of Catalan numbers

Kochetkov Y., / Series arXiv.org e-print archive "arXiv.math". 2025. No. 20584.

We give a new proof of the following statement: the Catalan number C_n is divisible by n+2, if n is odd and n<> 3k+1. ...

Added: September 9, 2025

Минимальное покрывающее множество как инструмент оптимального коллективного выбора

Iudina A., В кн.: Межвузовская научно-техническая конференция студентов, аспирантов и молодых специалистов им. Е.В. Арменского 2023.: МИЭМ НИУ ВШЭ, 2023. С. 7–11.

В работе рассматриваются способы выбора наилучших альтернатив на основании результатов их попарного сравнения. Подобный выбор является проблемой в ситуации, когда у любого варианта выбора есть более предпочтительный вариант. В литературе предложено много концепций решения поставленной задачи (так называемых турнирных решений). При этом особый интерес представляют обобщения турнирных решений на случай неполных сравнений, так как реальные ...

Added: November 5, 2023

Individual Time Preferences for Well-Being Allocation between Present and Future Generations

V. V. Karacharovskiy, Мир России: Социология, этнология 2023 Vol. 32 No. 2 P. 164–187

Despite the utopian nature of communist societies of the 20th century, the public legitimacy of temporarily sacrificing the current prosperity for the sake of a better future remains a notable characteristic of a society’s potential for modernization. The study focuses on measuring individual discount rates for reallocation of two experimental types of non-market merit goods in ...

Added: April 23, 2023