Effective rank of a problem of function estimation based on measurement with an error of finite number of its linear functionals

The problem of restoration of an element f of Euclidean functional space L2(X) based on the results of measurements of a finite set of its linear functionals, distorted by (random) error is solved. A priori data aren't assumed. Family of linear subspaces of the maximum (effective) dimension fo...

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Bibliographic Details
Main Authors: Boyuan Yuan, A. I. Chulichkov
Format: Article
Language:Russian
Published: Institute of Computer Science 2014-04-01
Series:Компьютерные исследования и моделирование
Subjects:
Online Access:http://crm.ics.org.ru/uploads/crmissues/crm_2014_2/14201.pdf