• A
  • A
  • A
  • АБВ
  • АБВ
  • АБВ
  • A
  • A
  • A
  • A
  • A
Обычная версия сайта
  • RU
  • EN
  • HSE University
  • Publications
  • Book chapter
  • Renormalization approach to the task of determining the number of topics in topic modeling
  • RU
  • EN
Расширенный поиск
Высшая школа экономики
Национальный исследовательский университет
Priority areas
  • business informatics
  • economics
  • engineering science
  • humanitarian
  • IT and mathematics
  • law
  • management
  • mathematics
  • sociology
  • state and public administration
by year
  • 2028
  • 2027
  • 2026
  • 2025
  • 2024
  • 2023
  • 2022
  • 2021
  • 2020
  • 2019
  • 2018
  • 2017
  • 2016
  • 2015
  • 2014
  • 2013
  • 2012
  • 2011
  • 2010
  • 2009
  • 2008
  • 2007
  • 2006
  • 2005
  • 2004
  • 2003
  • 2002
  • 2001
  • 2000
  • 1999
  • 1998
  • 1997
  • 1996
  • 1995
  • 1994
  • 1993
  • 1992
  • 1991
  • 1990
  • 1989
  • 1988
  • 1987
  • 1986
  • 1985
  • 1984
  • 1983
  • 1982
  • 1981
  • 1980
  • 1979
  • 1978
  • 1977
  • 1976
  • 1975
  • 1974
  • 1973
  • 1972
  • 1971
  • 1970
  • 1969
  • 1968
  • 1967
  • 1966
  • 1965
  • 1964
  • 1963
  • 1958
  • More
Subject
News
September 25, 2026
AI Users Earn Up to 41.8% More Than Non-Users
Research conducted by economists at HSE University has revealed a significant correlation between the regular use of GenAI in the workplace and higher pay among Russian employees. The study found that individuals who frequently use GenAI in their professional activities earn notably more than those who reject these new tools or resort to them occasionally. The salary premium for highly qualified specialists reaches 41.8%. The article was published in the Voprosy Ekonomiki journal.
September 24, 2026
‘Feedback and Constructive Criticism Are Essential in Our Profession
Vincent Fardeau, Associate Professor at HSE ICEF, has reached a major career milestone: he recently published his paper ‘Asymmetric Thin Markets’ in the Journal of Financial Economics, successfully passed his major academic review, and received tenure. In this interview, Vincent discusses the story behind the paper, explains the concept of asymmetric thin markets, and shares his advice for young scholars aiming to publish in top-tier journals.
September 22, 2026
Personal Interest in Doctoral Thesis Topic Most Important for Confidence in Successful Defence
A researcher at HSE University analysed data on 1,539 doctoral students from 161 Russian universities to identify which features of a thesis topic are associated with academic success and engagement. The most important factor was found to be personal interest in the research topic, which was associated with almost all key aspects of doctoral programme experience—from engaging with the academic supervisor to research activity and confidence about successfully defending the thesis. The findings have been published in Higher Education.

 

Have you spotted a typo?
Highlight it, click Ctrl+Enter and send us a message. Thank you for your help!

Publications
  • Books
  • Articles
  • Chapters of books
  • Working papers
  • Report a publication
  • Research at HSE

?

Renormalization approach to the task of determining the number of topics in topic modeling

P. 234–247.
Koltsov S., Ignatenko V.

Topic modeling is a widely used approach for clustering text documents, however, it possesses a set of parameters that must be determined by a user, for example, the number of topics. In this paper, we propose a novel approach for fast approximation of the optimal topic number that corresponds well to human judgment. Our method combines renormalization theory and Renyi entropy approach. The main advantage of this method is computational speed which is crucial when dealing with big data. We apply our method to Latent Dirichlet Allocation model with Gibbs sampling procedure and test our approach on two datasets in different languages. Numerical results and comparison of computational speed demonstrate significant gain in time with respect to standard grid search methods.

Language: English
Full text
DOI
Text on another site
Keywords: Renormalizationренормализациявероятностное тематическое моделированиеprobabilistic topic modeling
Publication based on the results of:
­­­Social networks as a socio-psychological and textual phenomenon (2019)

In book

Intelligent Computing: SAI 2020: Volume 1
* 1. Vol. 1228. , Switzerland: Springer, 2020.
Similar publications
Universality of robust chaotic dynamics in a family of one-dimensional Lorenz maps
Kazakov A., Koryakin V., Safonov K. et al., Journal of Differential Equations 2026 Vol. 480 Article 114626
We study a family of one-dimensional maps that models the dynamics of a system of differential equations with a Lorenz attractor near a bifurcation curve where the system has a pair of homoclinic loops with zero separatrix value. Of particular interest is the region of the parameter plane where the map has a robust chaotic ...
Added: September 16, 2026
Polarized Words, Polarized Worlds: A Computational Comparative Analysis of Pro- and Anti-Vaccine Discourse on VK
Petrov I., Monitoring Obshchestvennogo Mneniya: Ekonomichekie i Sotsial'nye Peremeny 2026 No. 4 P. 50–71
This study aims to compare the emotional and thematic differences in pro-vaccination and anti-vaccination discourse on the Russian social network VKontakte (VK), using Language Expectancy Theory (LET) as an interpretive lens. A computational approach was applied to analyze 18,239 posts from 229 anti-vaccination and 84 pro-vaccination communities, utilizing dictionary-based sentiment analysis and structural topic modeling. ...
Added: April 29, 2026
Modeling Pruning as a Phase Transition: A Thermodynamic Analysis of Neural Activations
- Р. М., Sergei Koltcov, Surkov A. et al., Computers, Materials and Continua 2026 Vol. 86 No. 3 Article 99
Activation pruning reduces neural network complexity by eliminating low-importance neuron activations, yet identifying the critical pruning threshold—beyond which accuracy rapidly deteriorates—remains computationally expensive and typically requires exhaustive search. We introduce a thermodynamics-inspired framework that treats activation distributions as energy-filtered physical systems and employs the free energy of activations as a principled evaluation metric. Phase-transition–like phenomena ...
Added: December 19, 2025
Maps with No a Priori Bounds
Blokh A., Levin G., Oversteegen L. et al., Communications in Mathematical Physics 2025 Vol. 406 Article 141
The modulus of a polynomial-like (PL) map is an important invariant that controls distortion of the straightening map and, hence, geometry of the corresponding PL Julia set. Lower bounds on the modulus, called complex a priori bounds, are known in a great variety of contexts. For any rational function we complement this by an upper bound ...
Added: May 31, 2025
Feynman checkers: External electromagnetic field and asymptotic properties
Fedor Ozhegov, Reviews in Mathematical Physics 2024 Vol. 36 No. 7 Article 2450017
In this paper, we study Feynman checkers, one of the most elementary models of electron motion. It is also known as a one-dimensional quantum walk or an Ising model at an imaginary temperature. We add the simplest non-trivial electromagnetic field and find the limits of the resulting model for small lattice step and large time, ...
Added: May 17, 2024
Upper bounds for the moduli of polynomial-like maps
Blokh A., Oversteegen L., Timorin V., Nonlinearity 2024 Vol. 37 No. 3 Article 035003
We establish a version of the Pommerenke–Levin–Yoccoz inequality for the modulus of a polynomial-like (PL) restriction of a polynomial and give two applications. First we show that if the modulus of a PL restriction of a polynomial is bounded from below then this restricts the combinatorics of the polynomial. The second application concerns parameter slices ...
Added: February 16, 2024
Ренормализация в одномерной динамике
Skripchenko A., Успехи математических наук 2023 Т. 78 № 6(474) С. 3–46
Research on dynamical and topological properties of interval exchange transformations and their natural generalizations is an important problem that belongs to the intersection of the several branches of mathematics: dynamical systems, low-dimensional topology, algebraic geometry, number theory and geometric group theory. The goal of the current survey is to make a systematic presentation of the ...
Added: December 28, 2023
Immediate renormalization of cubic complex polynomials with empty rational lamination
Blokh A., Oversteegen L., Timorin V., Moscow Mathematical Journal 2023 Vol. 23 No. 4 P. 441–461
A cubic polynomial $P$ with a non-repelling fixed point $b$ is said to be immediately renormalizable if there exists a (connected) QL invariant filled Julia set $K^*$ such that $b\in K^*$. In that case, exactly one critical point of $P$ does not belong to $K^*$. We show that if, in addition, the Julia set of $P$ has no (pre)periodic cutpoints, then ...
Added: November 29, 2023
Инновационный подход к поиску информации на примере патентного анализа плана импортозамещения
Милкова М. А., Экономическая наука современной России 2020 № 1 С. 143–157
Nowadays the process of information accumulation is so rapid that the concept of the usual iterative search requires revision. Being in the world of oversaturated information in order to comprehensively cover and analyze the problem under study, it is necessary to make high demands on the search methods. An innovative approach to search should flexibly ...
Added: June 29, 2023
Suppression of fluctuations in a two-band superconductor with a quasi-one-dimensional band
Shanenko, A. A., Saraiva, T. T., Vagov, A. et al., Physical Review B: Condensed Matter and Materials Physics 2022 Vol. 105 No. 21 Article 214527
Chainlike structured superconductive materials (such as A2Cr3As3, with A=K,Rb,Cs) exhibit the multiband electronic structure of single-particle states, where coexisting quasi-one-dimensional (Q1D) and conventional higher-dimensional energy bands take part in the creation of the aggregate superconducting condensate. When the chemical potential approaches the edge of a Q1D band in a single-band superconductor, the corresponding mean-field critical temperature increases ...
Added: July 3, 2022
Renormalization Analysis of Topic Models
Koltcov Sergei, Ignatenko V., Entropy 2020 Vol. 22 No. 5 P. 1–23
In practice, to build a machine learning model of big data, one needs to tune model parameters. The process of parameter tuning involves extremely time-consuming and computationally expensive grid search. However, the theory of statistical physics provides techniques allowing us to optimize this process. The paper shows that a function of the output of topic ...
Added: May 18, 2020
Analyzing the Influence of Hyper-parameters and Regularizers of Topic Modeling in Terms of Renyi entropy
Koltsov S., Ignatenko V., Boukhers Z. et al., Entropy 2020 Vol. 22 No. 4 P. 1–13
Topic modeling is a popular technique for clustering large collections of text documents. A variety of different types of regularization is implemented in topic modeling. In this paper, we propose a novel approach for analyzing the influence of different regularization types on results of topic modeling. Based on Renyi entropy, this approach is inspired by ...
Added: April 1, 2020
Processing and Analysis of Russian Strategic Planning Programs
Алексейчук Н. Н., Sarkisyan V., Emelyanov A. et al., , in: Digital Transformation and Global Society. Fourth International Conference, DTGS 2019, St. Petersburg, Russia, June 19–21, 2019, Revised Selected Papers.: Springer, 2019. P. 68–81.
In this paper, we present a project on the analysis of an extensive corpus of strategic planning documents, devoted to various aspects of the development of Russian regions. The main purposes of the project are: 1) to extract different aspects of goal setting and planning, 2) to form an ontology of goals and criteria of ...
Added: October 30, 2019
Estimating Topic Modeling Performance with Sharma–Mittal Entropy
Koltsov S., Ignatenko V., Koltsova O., 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. ...
Added: July 5, 2019
Fractal approach for determining the optimal number of topics in the field of topic modeling
Ignatenko V., Sergei Koltcov, Staab S. et al., Journal of Physics: Conference Series 2019 Vol. 1163 No. 1 P. 1–6
In the framework of this paper we apply multifractal formalism to the analysis of statistical behaviour of topic models under variation of the number of topics. Fractal analysis of topic models allows to show that self-similar fractal clusters exist in large textual collections. We provide numerical results for 3 topic models (PLSA, ARTM, LDA Gibbs sampling) on 2 datasets, ...
Added: November 30, 2018
Topics of Ethnic Discussions in Russian Social Media
Nagornyy O. S., , in: Digital Transformation and Global Society Third International Conference, DTGS 2018, St. Petersburg, Russia, May 30 –June 2, 2018, Revised Selected Papers, Part IIssue 858.: Cham: Springer, 2018. Ch. P. 83–94.
The paper reveals the topic structure of ethnic discussions in the Russian-speaking social media and explores how these topics are related to the post-Soviet ethnic groups. Analyzed more than 2.6 million texts from Russian-speak- ing social media published for two-year period from 2014 to 2015 and contained at least one of the post-Soviet ethnonyms, we ...
Added: September 3, 2018
Additive Regularization for Hierarchical Multimodal Topic Modeling
N. A. Chirkova, K. V. Vorontsov, Journal of machine learning and data analysis 2016 Vol. 2 No. 2 P. 187–200
Probabilistic topic models uncover the latent semantics of text collections and represent each document by a multinomial distribution over topics. Hierarchical models divide topics into subtopics recursively, thus simplifying information retrieval, browsing and understanding of large multidisciplinary collections. The most of existing approaches to hierarchy learning rely on Bayesian inference. This makes difficult the incorporation ...
Added: October 19, 2017
Additive Regularization for Hierarchical Multimodal Topic Modeling
K. V. Vorontsov, Journal of machine learning and data analysis 2016 Vol. 2 No. 2 P. 187–200
Probabilistic topic models uncover the latent semantics of text collections and represent each document by a multinomial distribution over topics. Hierarchical models divide topics into subtopics recursively, thus simplifying information retrieval, browsing and understanding of large multidisciplinary collections. The most of existing approaches to hierarchy learning rely on Bayesian inference. This makes difficult the incorporation ...
Added: October 19, 2017
  • About
  • About
  • Key Figures & Facts
  • Sustainability at HSE University
  • Faculties & Departments
  • International Partnerships
  • Faculty & Staff
  • HSE Buildings
  • HSE University for Persons with Disabilities
  • Public Enquiries
  • Studies
  • Admissions
  • Programme Catalogue
  • Undergraduate
  • Graduate
  • Exchange Programmes
  • Summer University
  • Summer Schools
  • Semester in Moscow
  • Business Internship
  • Research
  • International Laboratories
  • Research Centres
  • Research Projects
  • Monitoring Studies
  • Conferences & Seminars
  • Academic Jobs
  • Yasin (April) International Academic Conference on Economic and Social Development
  • Media & Resources
  • Publications by staff
  • HSE Journals
  • Publishing House
  • iq.hse.ru: commentary by HSE experts
  • Library
  • Economic & Social Data Archive
  • Video
  • HSE Repository of Socio-Economic Information
  • HSE1993–2026
  • Contacts
  • Copyright
  • Privacy Policy
  • Site Map
Edit