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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2021 Number 6, Pages 14–20 (Mi vmumm4434)

This article is cited in 1 paper

Mathematics

Learning of bounded-weight Boolean functions

A. V. Bistrigova

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

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.

UDC: 519.716

Received: 23.11.2020


 English version:
Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2021, 76:6, 251–258

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