  This paper presents a brief introduction to the key points of the Grey
Machine Learning (GML) based on the kernels. The general formulation of the
grey system models have been firstly summarized, and then the nonlinear
extension of the grey models have been developed also with general
formulations. The kernel implicit mapping is used to estimate the nonlinear
function of the GML model, by extending the nonparametric formulation of the
LSSVM, the estimation of the nonlinear function of the GML model can also be
expressed by the kernels. A short discussion on the priority of this new
framework to the existing grey models and LSSVM have also been discussed in
this paper. And the perspectives and future orientations of this framework have
also been presented.
