Memory-Effcient Orthogonal Least Squares Kernel Density Estimation using Enhanced Empirical Cumulative Distribution Functions

Martin Schafföner, Edin Andelic, Marcel Katz, Sven E. Krüger, Andreas Wendemuth
2007 Journal of machine learning research  
A novel training algorithm for sparse kernel density estimates by regression of the empirical cumulative density function (ECDF) is presented. It is shown how an overdetermined linear least-squares problem may be solved by a greedy forward selection procedure using updates of the orthogonal decomposition in an order-recursive manner. We also present a method for improving the accuracy of the estimated models which uses output-sensitive computation of the ECDF. Experiments show the superior
more » ... rmance of our proposed method compared to stateof-the-art density estimation methods such as Parzen windows, Gaussian Mixture Models, and ǫ-Support Vector Density models [1] .
dblp:journals/jmlr/SchaffonerAKKW07 fatcat:idnbptze5jbhzii7lazak4w7fq