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» Imaginaries in Hilbert spaces
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JAT
2007
84views more  JAT 2007»
13 years 7 months ago
On Lebesgue-type inequalities for greedy approximation
We study the efficiency of greedy algorithms with regard to redundant dictionaries in Hilbert spaces. We obtain upper estimates for the errors of the Pure Greedy Algorithm and th...
David L. Donoho, Michael Elad, Vladimir N. Temlyak...
JAT
2010
71views more  JAT 2010»
13 years 6 months ago
Functions with prescribed best linear approximations
A common problem in applied mathematics is that of finding a function in a Hilbert space with prescribed best approximations from a finite number of closed vector subspaces. In ...
Patrick L. Combettes, Noli N. Reyes
TSD
2010
Springer
13 years 5 months ago
Correlation Features and a Linear Transform Specific Reproducing Kernel
Abstract. In this paper we introduce two ideas for phoneme classification: First, we derive the necessary steps to integrate linear transform into the computation of reproducing ke...
Andreas Beschorner, Dietrich Klakow
SIAMJO
2011
13 years 2 months ago
Prox-Penalization and Splitting Methods for Constrained Variational Problems
This paper is concerned with the study of a class of prox-penalization methods for solving variational inequalities of the form Ax + NC (x) 0 where H is a real Hilbert space, A : H...
Hedy Attouch, Marc-Olivier Czarnecki, Juan Peypouq...
ICML
2004
IEEE
14 years 8 months ago
Learning with non-positive kernels
In this paper we show that many kernel methods can be adapted to deal with indefinite kernels, that is, kernels which are not positive semidefinite. They do not satisfy Mercer...
Alexander J. Smola, Cheng Soon Ong, Stéphan...