Title :
Online Learning with Kernels a New Approach for Sparsity Control Based on a Coherence Criterion
Author :
Pothin, Jean-Baptiste ; Richard, Cedric
Author_Institution :
Inst. Charles Delaunay, Univ. de Technol. de Troyes, Troyes
Abstract :
Kernel methods are well known standard tools for solving function approximation and pattern classification problems. In this paper, we consider online learning in a reproducing kernel Hilbert space. We develop a simple and computationally efficient algorithm for sparse solutions. The approach is based on sequential projection learning and the coherence criterion, which is a fundamental parameter to characterize dictionaries of functions in sparse approximation problems. Experimental results show the effectiveness of our approach.
Keywords :
Hilbert spaces; approximation theory; computational complexity; function approximation; learning (artificial intelligence); coherence criterion; computationally efficient algorithm; function approximation problem; kernel Hilbert space method; pattern classification problem; sequential projection learning; sparse approximation problem; sparse online learning; sparsity control; Computational complexity; Dictionaries; Function approximation; Gaussian processes; Hilbert space; Kernel; Pattern classification; Space technology; Statistical learning; Stochastic processes;
Conference_Titel :
Machine Learning for Signal Processing, 2006. Proceedings of the 2006 16th IEEE Signal Processing Society Workshop on
Conference_Location :
Arlington, VA
Print_ISBN :
1-4244-0656-0
Electronic_ISBN :
1551-2541
DOI :
10.1109/MLSP.2006.275555