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» Imaginaries in Hilbert spaces
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NIPS
2001
13 years 9 months ago
Online Learning with Kernels
Abstract--Kernel-based algorithms such as support vector machines have achieved considerable success in various problems in batch setting, where all of the training data is availab...
Jyrki Kivinen, Alex J. Smola, Robert C. Williamson
CORR
2007
Springer
164views Education» more  CORR 2007»
13 years 7 months ago
Consistency of the group Lasso and multiple kernel learning
We consider the least-square regression problem with regularization by a block 1-norm, that is, a sum of Euclidean norms over spaces of dimensions larger than one. This problem, r...
Francis Bach
TSP
2008
89views more  TSP 2008»
13 years 7 months ago
The Kernel Least-Mean-Square Algorithm
The combination of the famed kernel trick and the least-mean-square (LMS) algorithm provides an interesting sample by sample update for an adaptive filter in reproducing Kernel Hil...
Weifeng Liu, Puskal P. Pokharel, Jose C. Principe
ADCM
2004
74views more  ADCM 2004»
13 years 7 months ago
Extremal Systems of Points and Numerical Integration on the Sphere
This paper considers extremal systems of points on the unit sphere Sr Rr+1, related problems of numerical integration and geometrical properties of extremal systems. Extremal sys...
Ian H. Sloan, Robert S. Womersley
SIAMSC
2010
104views more  SIAMSC 2010»
13 years 6 months ago
A New Sobolev Gradient Method for Direct Minimization of the Gross--Pitaevskii Energy with Rotation
Abstract. In this paper we improve traditional steepest descent methods for the direct minimization of the Gross-Pitaevskii (GP) energy with rotation at two levels. We first defi...
Ionut Danaila, Parimah Kazemi