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» Explicit recursivity into reproducing kernel Hilbert spaces
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NIPS
2004
15 years 3 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...
JMLR
2008
88views more  JMLR 2008»
15 years 1 months ago
Universal Multi-Task Kernels
In this paper we are concerned with reproducing kernel Hilbert spaces HK of functions from an input space into a Hilbert space Y, an environment appropriate for multi-task learnin...
Andrea Caponnetto, Charles A. Micchelli, Massimili...
NIPS
2007
15 years 3 months ago
Kernel Measures of Conditional Dependence
We propose a new measure of conditional dependence of random variables, based on normalized cross-covariance operators on reproducing kernel Hilbert spaces. Unlike previous kernel...
Kenji Fukumizu, Arthur Gretton, Xiaohai Sun, Bernh...
JMLR
2010
110views more  JMLR 2010»
14 years 8 months ago
Nonlinear functional regression: a functional RKHS approach
This paper deals with functional regression, in which the input attributes as well as the response are functions. To deal with this problem, we develop a functional reproducing ke...
Hachem Kadri, Emmanuel Duflos, Philippe Preux, St&...
ICML
2008
IEEE
16 years 2 months ago
Tailoring density estimation via reproducing kernel moment matching
Moment matching is a popular means of parametric density estimation. We extend this technique to nonparametric estimation of mixture models. Our approach works by embedding distri...
Alex J. Smola, Arthur Gretton, Bernhard Schöl...