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» Nonlinear Component Analysis as a Kernel Eigenvalue Problem
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JMLR
2006
132views more  JMLR 2006»
14 years 9 months ago
Accurate Error Bounds for the Eigenvalues of the Kernel Matrix
The eigenvalues of the kernel matrix play an important role in a number of kernel methods, in particular, in kernel principal component analysis. It is well known that the eigenva...
Mikio L. Braun
88
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ICPR
2006
IEEE
15 years 10 months ago
Dimensionality Reduction with Adaptive Kernels
1 A kernel determines the inductive bias of a learning algorithm on a specific data set, and it is beneficial to design specific kernel for a given data set. In this work, we propo...
Shuicheng Yan, Xiaoou Tang
ICML
2003
IEEE
15 years 10 months ago
Kernel PLS-SVC for Linear and Nonlinear Classification
A new method for classification is proposed. This is based on kernel orthonormalized partial least squares (PLS) dimensionality reduction of the original data space followed by a ...
Roman Rosipal, Leonard J. Trejo, Bryan Matthews
PAMI
2006
128views more  PAMI 2006»
14 years 9 months ago
Multisurface Proximal Support Vector Machine Classification via Generalized Eigenvalues
A new approach to support vector machine (SVM) classification is proposed wherein each of two data sets are proximal to one of two distinct planes that are not parallel to each oth...
Olvi L. Mangasarian, Edward W. Wild
CVPR
2009
IEEE
16 years 4 months ago
Volterrafaces: Discriminant Analysis using Volterra Kernels
In this paper we present a novel face classification system where we represent face images as a spatial arrangement of image patches, and seek a smooth non-linear functional map...
Ritwik Kumar, Arunava Banerjee, Baba C. Vemuri