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Avtomatika i Telemekhanika, 2022, Issue 1, Pages 150–168
DOI: https://doi.org/10.31857/S0005231022010093 (Mi at15892) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Optimization, System Analysis, and Operations Research

Probabilistic interpretation of the distillation problem

A. V. Grabovoya, V. V. Strijovab

a Moscow Institute of Physics and Technology, Dolgoprudnyi, Moscow oblast, 141701 Russia
b Dorodnicyn Computing Centre, Russian Academy of Sciences, Moscow, 119333 Russia
Full-text PDF (477 kB) First page Citations (3)
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DOI: https://doi.org/10.31857/S0005231022010093
Abstract: The article deals with methods for reducing the complexity of approximating models. Probabilistic substantiation of distillation and privileged teaching methods is proposed. General conclusions are given for an arbitrary parametric function with a predetermined structure. A theoretical basis is demonstrated for the special cases of linear and logistic regression. The analysis of the considered models is carried out in a computational experiment on synthetic samples and real data. The FashionMNIST and Twitter Sentiment Analysis samples are considered as real data.
Keywords: model selection, Bayesian inference, model distillation, learning with privileged information.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 13/1251/2018
Russian Foundation for Basic Research 19-07-01155
19-07-00875
19-07-00885
This article contains the results of the project “Mathematical Methods for Mining Big Data,” carried out as part of the implementation of the Competence Center Program of the National Technology Initiative “Big Data Storage and Analysis Center,” supported by the Ministry of Science and Higher Education of the Russian Federation under agreement no. 13/1251/2018 of December 11, 2018 between Lomonosov Moscow State University and the Foundation for Support of Projects of the National Technology Initiative. This work was supported by the Russian Foundation for Basic Research, projects nos. 19-07-01155, 19-07-00875, and 19-07-00885.
Presented by the member of Editorial Board: O. P. Kuznetsov

Received: 29.08.2020
Revised: 14.08.2021
Accepted: 29.08.2021
English version:
Automation and Remote Control, 2022, Volume 83, Issue 1, Pages 123–137
DOI: https://doi.org/10.1134/S000511792201009X
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. V. Grabovoy, V. V. Strijov, “Probabilistic interpretation of the distillation problem”, Avtomat. i Telemekh., 2022, no. 1, 150–168; Autom. Remote Control, 83:1 (2022), 123–137
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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