Topological properties of measurable structures and sufficient conditions for uniform convergence of frequencies to probabilities / Pytkeev E. G.,Khachai M. Yu. // AUTOMATION AND REMOTE CONTROL. - 2012. - V. 73, l. 2. - P. 291-299.

ISSN/EISSN:

0005-1179 / нет данных

Type:

Article

Abstract:

The event-uniform convergence of frequencies to probabilities is one of the main tools of the today theory of learning pattern recognition which enables one to substantiate the generalizability of the learning algorithms. Proposed was a new approach to derivation of the sufficient conditions for such convergence on the basis of only the topological properties of the event sigma-algebra induced by the class under consideration.

Author keywords:

нет данных

DOI:

10.1134/S0005117912020075

Web of Science ID:

ISI:000300280000007

Соавторы в МНС:

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Другие поля

Поле	Значение
Month	FEB
Publisher	MAIK NAUKA/INTERPERIODICA/SPRINGER
Address	233 SPRING ST, NEW YORK, NY 10013-1578 USA
Language	English
Research-Areas	Automation \& Control Systems; Instruments \& Instrumentation
Web-of-Science-Categories	Automation \& Control Systems; Instruments \& Instrumentation
ResearcherID-Numbers	Khachay, Michael/H-3251-2013
ORCID-Numbers	Khachay, Michael/0000-0003-3555-0080
Funding-Acknowledgement	Ural Branch of the Russian Academy of Sciences {[}09-R-1-1001, 09-S-1-1010]; Russian Foundation for Basic Research {[}10-01-00273, 10-07-00134]
Funding-Text	This work was supported by the Ural Branch of the Russian Academy of Sciences, projects nos. 09-R-1-1001 and 09-S-1-1010, and the Russian Foundation for Basic Research, projects nos. 10-01-00273 and 10-07-00134.
Number-of-Cited-References	7
Usage-Count-Since-2013	1
Journal-ISO	Autom. Remote Control
Doc-Delivery-Number	892IN