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Problemy Peredachi Informatsii, 2012, Volume 48, Issue 3, Pages 83–95
(Mi ppi2088)
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This article is cited in 3 scientific papers (total in 3 papers)
Methods of Signal Processing
Exponential weighting and oracle inequalities for projection estimates
G. K. Golubevab a Kharkevich Institute for Information Transmission Problems,
Russian Academy of Sciences, Moscow
b Moscow Institute of Physics and Technology (State University)
Abstract:
We consider the problem of recovering an unknown vector from noisy data. The vector is estimated using a family of projection estimates, and the goal is finding a sufficiently good convex combination of these estimates based on the observations. We study an aggregation method for constructing estimates related to the so-called exponential weighting and present an upper bound on the mean-square risk of this method.
Received: 12.12.2011 Revised: 02.05.2012
Citation:
G. K. Golubev, “Exponential weighting and oracle inequalities for projection estimates”, Probl. Peredachi Inf., 48:3 (2012), 83–95; Problems Inform. Transmission, 48:3 (2012), 271–282
Linking options:
https://www.mathnet.ru/eng/ppi2088 https://www.mathnet.ru/eng/ppi/v48/i3/p83
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Abstract page: | 292 | Full-text PDF : | 74 | References: | 49 | First page: | 18 |
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