Title
Non-negative pre-image in machine learning for pattern recognition
Abstract
Moreover, in order to have a physical interpretation, some constraints should be incorporated in the signal or image processing technique, such as the non-negativity of the solution. This paper deals with the non-negative pre-image problem in kernel machines, for nonlinear pattern recognition. While kernel machines operate in a feature space, associated to the used kernel function, a pre-image technique is often required to map back features into the input space. We derive a gradient-based algorithm to solve the pre-image problem, and to guarantee the non-negativity of the solution. Its convergence speed is significantly improved due to a weighted stepsize approach. The relevance of the proposed method is demonstrated with experiments on real datasets, where only a couple of iterations are necessary.
Year
Venue
Field
2011
European Signal Processing Conference
Radial basis function kernel,Pattern recognition,Kernel embedding of distributions,Tree kernel,Kernel principal component analysis,Polynomial kernel,Artificial intelligence,Kernel (image processing),Kernel method,Variable kernel density estimation,Mathematics,Machine learning
DocType
ISSN
Citations 
Conference
2076-1465
3
PageRank 
References 
Authors
0.42
7
5
Name
Order
Citations
PageRank
Maya Kallas1153.13
Paul Honeine236734.41
Cédric Richard394071.61
Clovis Francis43411.20
Hassan Amoud5368.61