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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2020, Volume 60, Number 3, Pages 369–378
DOI: https://doi.org/10.31857/S0044466920030084 (Mi zvmmf11041) 		 
Issues of stability and uniqueness of stochastic matrix factorization

R. Yu. Derbanosova, I. A. Irkhinb

a National Research University – Higher School of Economics, Moscow, 125319 Russia
b Moscow Institute of Physics and Technology, Dolgoprudnyi, Moscow oblast, 141700 Russia
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DOI: https://doi.org/10.31857/S0044466920030084
Abstract: Two closely related problems–stability of the solution to the topic modeling problem and uniqueness of the stochastic matrix factorization are considered. A theorem describing an analytical method for finding out if the stability of the solution to a given stochastic matrix factorization problem is formulated and proved. The practical usefulness of this theorem is investigated by applying it to real-life data.
Key words: topic modeling, nonnegative matrix decomposition, uniqueness of the matrix factorization.
Funding agency Grant number
Russian Foundation for Basic Research 17-07-01536
This work was supported by the Russian Foundation for Basic Research, project no. 17-07-01536.
Received: 12.09.2018
Revised: 05.10.2018
Accepted: 18.11.2019
English version:
Computational Mathematics and Mathematical Physics, 2020, Volume 60, Issue 3, Pages 370–378
DOI: https://doi.org/10.1134/S0965542520030082
Bibliographic databases:
Document Type: Article
UDC: 519.26
Language: Russian
Citation: R. Yu. Derbanosov, I. A. Irkhin, “Issues of stability and uniqueness of stochastic matrix factorization”, Zh. Vychisl. Mat. Mat. Fiz., 60:3 (2020), 369–378; Comput. Math. Math. Phys., 60:3 (2020), 370–378
Citation in format AMSBIB
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