Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2021, Number 6, Pages 14–20 (Mi vmumm4434)  
This article is cited in 1 scientific paper (total in 1 paper)

Mathematics

Learning of bounded-weight Boolean functions

A. V. Bistrigova

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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Abstract: The complexity of exact learning of bounded-weight Boolean functions is considered in the paper using separately four types of queries: membership queries, equivalence queries, extended equivalence queries, and comparation queries. The values of the complexity for the first three types are obtained. Upper and lower bounds of the complexity for comparation queries being of the same order are presented. Moreover, the exact value of the complexity of learning upper bounded-weight Boolean functions with the help of comparation queries is obtained.
Key words: bounded-weight functions, membership queries, comparation queries, equivalence queries, extended equivalence queries, exact learning.
Funding agency Grant number
MSU Scientific and Educational School Brain, Cognitive Systems, artificial Intelligence
Received: 23.11.2020
English version:
Moscow University Mathematics Bulletin, 2021, Volume 76, Issue 6, Pages 251–258
DOI: https://doi.org/10.3103/S0027132221060036
Bibliographic databases:
Document Type: Article
UDC: 519.716
Language: Russian
Citation: A. V. Bistrigova, “Learning of bounded-weight Boolean functions”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2021, no. 6, 14–20; Moscow University Mathematics Bulletin, 76:6 (2021), 251–258
Citation in format AMSBIB
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\paper Learning of bounded-weight Boolean functions
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\issue 6
\pages 14--20
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\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=4400790}
\zmath{https://zbmath.org/?q=an:1487.68138}
\transl
\jour Moscow University Mathematics Bulletin
\yr 2021
\vol 76
\issue 6
\pages 251--258
\crossref{https://doi.org/10.3103/S0027132221060036}
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    • This publication is cited in the following 1 articles:
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