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» Imaginaries in Hilbert spaces
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ADCM
2007
114views more  ADCM 2007»
13 years 7 months ago
Convergence analysis of online algorithms
In this paper, we are interested in the analysis of regularized online algorithms associated with reproducing kernel Hilbert spaces. General conditions on the loss function and st...
Yiming Ying
CISS
2008
IEEE
14 years 2 months ago
Real equiangular frames
— Real equiangular tight frames can be especially useful in practice because of their structure. The problem is that very few of them are known. We will look at recent advances o...
Peter G. Casazza, Dan Redmond, Janet C. Tremain
NIPS
2004
13 years 9 months ago
Kernel Methods for Implicit Surface Modeling
We describe methods for computing an implicit model of a hypersurface that is given only by a finite sampling. The methods work by mapping the sample points into a reproducing ker...
Bernhard Schölkopf, Joachim Giesen, Simon Spa...
ADCM
2007
168views more  ADCM 2007»
13 years 7 months ago
A generalization of Gram-Schmidt orthogonalization generating all Parseval frames
Given an arbitrary finite sequence of vectors in a finite–dimensional Hilbert space, we describe an algorithm, which computes a Parseval frame for the subspace generated by the...
Peter G. Casazza, Gitta Kutyniok
FOCM
2006
50views more  FOCM 2006»
13 years 7 months ago
Online Learning Algorithms
In this paper, we study an online learning algorithm in Reproducing Kernel Hilbert Spaces (RKHS) and general Hilbert spaces. We present a general form of the stochastic gradient m...
Steve Smale, Yuan Yao