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» Imaginaries in Hilbert spaces
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NIPS
2003
13 years 9 months ago
Learning to Find Pre-Images
We consider the problem of reconstructing patterns from a feature map. Learning algorithms using kernels to operate in a reproducing kernel Hilbert space (RKHS) express their solu...
Gökhan H. Bakir, Jason Weston, Bernhard Sch&o...
ADCM
2010
89views more  ADCM 2010»
13 years 7 months ago
Minimization of convex functionals over frame operators
Abstract. We present results about minimization of convex functionals defined over a finite set of vectors in a finite dimensional Hilbert space, that extend several known results ...
Pedro Massey, Mariano Ruiz
JMLR
2008
95views more  JMLR 2008»
13 years 7 months ago
Learning Similarity with Operator-valued Large-margin Classifiers
A method is introduced to learn and represent similarity with linear operators in kernel induced Hilbert spaces. Transferring error bounds for vector valued large-margin classifie...
Andreas Maurer
JMLR
2010
146views more  JMLR 2010»
13 years 2 months ago
Nonparametric Tree Graphical Models
We introduce a nonparametric representation for graphical model on trees which expresses marginals as Hilbert space embeddings and conditionals as embedding operators. This formul...
Le Song, Arthur Gretton, Carlos Guestrin
COLT
2006
Springer
13 years 11 months ago
The Rademacher Complexity of Linear Transformation Classes
Bounds are given for the empirical and expected Rademacher complexity of classes of linear transformations from a Hilbert space H to a ...nite dimensional space. The results imply ...
Andreas Maurer