Title
Sampling Techniques for Kernel Methods
Abstract
We propose randomized techniques for speeding up Kernel Principal Component Analysis on three levels: sampling and quantization of the Gram matrix in training, randomized rounding in evaluating the kernel expansions, and random projections in evaluating the kernel itself. In all three cases, we give sharp bounds on the accuracy of the obtained approximations. Rather intriguingly, all three techniques can be viewed as instantiations of the following idea: replace the kernel function k by a "randomized kernel" which behaves like k in expectation.
Year
Venue
Keywords
2001
ADVANCES IN NEURAL INFORMATION PROCESSING SYSTEMS 14, VOLS 1 AND 2
sampling technique,kernel function,kernel method,randomized rounding,kernel principal component analysis
Field
DocType
Volume
Mathematical optimization,Radial basis function kernel,Kernel embedding of distributions,Kernel principal component analysis,Polynomial kernel,Kernel method,Variable kernel density estimation,Kernel regression,Mathematics,Kernel (statistics)
Conference
14
ISSN
Citations 
PageRank 
1049-5258
62
7.98
References 
Authors
6
3
Name
Order
Citations
PageRank
Dimitris Achlioptas12037174.89
Frank McSherry24289288.94
Bernhard Schölkopf3231203091.82