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NIPS
2008
13 years 11 months ago
Non-parametric Regression Between Manifolds
This paper discusses non-parametric regression between Riemannian manifolds. This learning problem arises frequently in many application areas ranging from signal processing, comp...
Florian Steinke, Matthias Hein
COLT
2006
Springer
14 years 1 months ago
Uniform Convergence of Adaptive Graph-Based Regularization
Abstract. The regularization functional induced by the graph Laplacian of a random neighborhood graph based on the data is adaptive in two ways. First it adapts to an underlying ma...
Matthias Hein
CORR
2008
Springer
99views Education» more  CORR 2008»
13 years 10 months ago
When is there a representer theorem? Vector versus matrix regularizers
We consider a general class of regularization methods which learn a vector of parameters on the basis of linear measurements. It is well known that if the regularizer is a nondecr...
Andreas Argyriou, Charles A. Micchelli, Massimilia...
JMLR
2002
75views more  JMLR 2002»
13 years 9 months ago
Stability and Generalization
We define notions of stability for learning algorithms and show how to use these notions to derive generalization error bounds based on the empirical error and the leave-one-out e...
Olivier Bousquet, André Elisseeff
ICML
2007
IEEE
14 years 10 months ago
Dimensionality reduction and generalization
In this paper we investigate the regularization property of Kernel Principal Component Analysis (KPCA), by studying its application as a preprocessing step to supervised learning ...
Sofia Mosci, Lorenzo Rosasco, Alessandro Verri