Thus we construct the following kernel function based on Gaussian to map the data to high dimensional
kernel space:
It is obvious that constructing a suitable reproducing
kernel spaces and effectively calculating the reproducing kernel expression become the key to apply reproducing kernel Hilbert space method.
From Figure 2, we can easily know that the LGECSDL algorithm has achieved better recognition results in Hellinger
kernel space. With the parameter a varied from [2.sup.-13] to [2.sup.-3], the recognition rate increased gradually and then decreased.
In this paper, the RKHS method was employed successfully for solving a class of second-order Fredholm IDEs by constructing a reproducing
kernel space in which each function satisfies the given boundary conditions of the considered problems.
In view of the completeness of the reproducing
kernel space, [y.sub.n](x) [right arrow] y(x) as n [right arrow] [infinity].
In this work, we design an intelligent abnormality detection and fault recognition technique for the exhaust system of gas turbines based on information entropy, which is used in measuring the uniformity of exhaust temperatures, evaluating the significance of features in
kernel spaces, and selecting splitting nodes for constructing decision trees.
Geng, "Solving singular two-point boundary value problem in reproducing
kernel space," Journal of Computational and Applied Mathematics, vol.
Therefore, KICA can be thought as performing ICA in the whitened
kernel space generated from KPCA.
Since we use an implicit document representation, we need to test all document pairs during the kernel evaluation, thus, unless we apply a feature selection in the
kernel space, the complexity of point 1 cannot be improved.
The fault protection that Sun is working on is keeping faults in the zones from creeping into the Solaris
kernel space. A memory leak from a single C++ application running in one zone, for instance, should not be able to crash a whole system.