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Estimating Topic Modeling Performance with Sharma–Mittal Entropy
Entropy. 2019. Vol. 21. No. 7. P. 1–29.
Topic modeling is a popular approach for clustering text documents. However, current tools have a number of unsolved problems such as instability and a lack of criteria for selecting the values of model parameters. In this work, we propose a method to solve partially the problems of optimizing model parameters, simultaneously accounting for semantic stability. Our method is inspired by the concepts from statistical physics and is based on Sharma–Mittal entropy. We test our approach on two models: probabilistic Latent Semantic Analysis (pLSA) and Latent Dirichlet Allocation (LDA) with Gibbs sampling, and on two datasets in different languages. We compare our approach against a number of standard metrics, each of which is able to account for just one of the parameters of our interest. We demonstrate that Sharma–Mittal entropy is a convenient tool for selecting both the number of topics and the values of hyper-parameters, simultaneously controlling for semantic stability, which none of the existing metrics can do. Furthermore, we show that concepts from statistical physics can be used to contribute to theory construction for machine learning, a rapidly-developing sphere that currently lacks a consistent theoretical ground.
Соколова Е. Н., Grigoreva M., Знак: проблемное поле медиаобразования 2026 № 1(59) С. 92–101
The article analyzes representations of grandmothers’ and grandfathers’ images in the digital family discourse of the Russian social media segment. Based on a corpus of more than two million public posts from September 2023 to September 2024 collected via Brand Analytics, we extracted a subcorpus of 82 138 posts mentioning the older generation. The study ...
Added: June 30, 2026
Piontkovski D., / Series arXiv "math". 2026.
A noncommutative projective variety is defined, following Artin and Zhang, by a graded coherent algebra 𝐴. The category of coherent sheaves is then the quotient qgr(𝐴) of the category of finitely presented graded modules by the subcategory of torsion modules. We consider the categorical and polynomial entropies of the Serre twist, that is, of the ...
Added: June 23, 2026
Piontkovski D., / Series arXiv "math". 2025.
If a symmetric multilinear algebra is weakly nil, then it is Engel. This result may be regarded as an infinite-dimensional analogue of the well-known Jacobian theorem, which states that if a polynomial mapping has a polynomial inverse, then its Jacobian matrix is invertible. This refines a theorem of Gerstenhaber and partially answers a question posed ...
Added: June 23, 2026
Shipilov F., Barnyakov A., Ivanov A. et al., / Series Physics "arxiv.org". 2026.
A fast simulation of the detector response is a vital task in high-energy physics (HEP). Traditional Monte-Carlo methods form the backbone of modern particle physics simulation software but are computationally expensive. We present a machine-learning-based approach to fast simulation of the Focusing Aerogel Ring Imaging Cherenkov (FARICH) detector response. Given a particle track and momentum, ...
Added: May 19, 2026
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
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
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
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
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
Khrylchenko K., Vorontsov K. V., Automation and Remote Control 2022 Vol. 83 No. 12 P. 1908–1922
Added: November 19, 2025
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
Sikachev A., Veselova A., Управленец 2026 Vol. 17 No. 1 P. 65–83
As small and medium-sized enterprises (SMEs) strive for expansion beyond their domestic borders, the appeal of international markets is undoubtedly attractive. However, there are often numerous obstacles to this journey, which can be complex for companies without experience in international expansion. This article aims to fill the existing gap in the literature by thoroughly analyzing ...
Added: August 21, 2025
Smirnov N., Higher Education 2026 Vol. 91 No. 3 P. 993–1021
Doctoral education has undergone significant transformations over the past two decades, driven by massification, internationalization, and the diversification of training models. These shifts have led to a growing body of research on doctoral education, yet little is known about the overarching thematic and geographical trends shaping this field. This study applies computational natural language processing ...
Added: May 26, 2025
Volkova N., Бордунос А. К., Чикер В. А. et al., Социальная психология и общество 2025 Т. 16 № 1 С. 5–27
Objective. Identify key topics presented in contemporary research on the relationship between social capital and generational differences in organizations, utilizing digital processing approaches on a dataset of scientific publications.
Background. The emergence of new technologies, labor migration, and the involvement of representatives of different generations in labor activities have highlighted the process of continuous socialization of individuals in ...
Added: May 5, 2025
Егоров В. Ю., Philippov I., Akhremenko A. S., Мониторинг общественного мнения: Экономические и социальные перемены 2025 № 1 С. 214–239
The focus of the work is related to the public perception of government practices within the framework of digitalization policy. Electronic practices of interaction with the government have long been widespread among most Russians. This is confirmed by both public opinion polls and Russia’s high positions in the world rankings of e-government development. In this ...
Added: May 1, 2025
Vozhik E., Maslinsky K., Lisiukov R., CEUR Workshop Proceedings 2024 P. 938–949
The article focuses on the systemic effects of censorship that manifest themselves in the content of published materials that successfully passed the censorship filters. We understand censorship as a special kind of collective imagination about the (in)acceptable, inherent in a particular political context and influencing the decision-making logic by different actors. The idea is that ...
Added: April 3, 2025
Gorshkov S., Ilyushin E., Chernysheva A. et al., International Journal of Open Information Technologies 2021 Vol. 9 No. 5 P. 12–17
Topic modeling is one of the most widely used methods in text analysis. It can be used to select topics as well as to find the topics distributed in each document from the corpus. In this article, we present a method for clustering communities in the social network VKontakte (the most popular Russian social network) ...
Added: December 25, 2024
Kolmogorova A., Qiuhua S., Вестник Волгоградского государственного университета. Серия 2: Языкознание 2024 Vol. 23 No. 5 P. 60–71
The article is devoted to studying verbalization specifics of various emotional states in the texts in Russian with the purpose to confirm or refute the hypothesis that texts of different emotional classes reflect the denotative situation not identically, which is reflected in thematic specifics and lexical content. The research material consisted of eight corpus texts ...
Added: November 29, 2024
Sergei Koltcov, Surkov A., Filippov V. et al., PeerJ Computer Science 2024 Vol. 10 P. 41
Topic modeling is a widely used instrument for the analysis of large text collections.
In the last few years, neural topic models and models with word embeddings have
been proposed to increase the quality of topic solutions. However, these models
were not extensively tested in terms of stability and interpretability. Moreover, the
question of selecting the number of topics ...
Added: February 16, 2024
Ignatenko V., Surkov A., Sergei Koltcov, PeerJ Computer Science 2024 Vol. 10 Article e1775
The random forest algorithm is one of the most popular and commonly used algorithms
for classification and regression tasks. It combines the output of multiple decision trees
to form a single result. Random forest algorithms demonstrate the highest accuracy on
tabular data compared to other algorithms in various applications. However, random
forests and, more precisely, decision trees, are usually ...
Added: February 16, 2024
Zhuchkova S., Бойченко А. Е., Smirnov N., Журнал социологии и социальной антропологии 2024 Т. 27 № 1 С. 103–138
In public and academic debate, rap is often presented as one of the most aggressive music genres, depicting violence and cruelty in various ways. One of the reasons for that is rap’s social background. It emerged in the criminal area of New York first created by the deprived Black population. Using the notion of hegemonic ...
Added: February 11, 2024
Kolmogorova A., Колмогорова П. А., Куликова Е. Р., Вестник Томского государственного университета. Филология 2024 № 89 С. 73–103
In this article, we focus on the analysis of the texts of three history textbooks for university students published at different times: in 1946, in 1983 and in 2006. As a material, we use texts devoted in each of the textbooks to seven historical topics since the beginnings of Kiev principality till the Reforms of ...
Added: December 10, 2023
Vashchenko V., Социология: методология, методы, математическое моделирование 2023 № 56 С. 69–112
The steady increase in the popularity of social media as a means of communication actualizes methodological issues related to processing of short texts with less semantic context than large corpora, which are widely used for training and testing machine learning models for textual data. Topic modeling, an unsupervised machine learning technique aimed at aggregating texts ...
Added: December 7, 2023