Sentence examples for by using the kernel from inspiring English sources
The pore volume and surface area distributions were calculated independently from a) the experimental excess adsorption isotherm by deconvoluting the generalized adsorption equation and b) the experimental strain isotherm by using the kernel of adsorption stress isotherms.
The explicit knowledge of the nonlinear mapping function can be avoided by using the kernel trick.
Fortunately, this explicit knowledge of the nonlinear mapping function can be computationally avoided by using the kernel trick [40].
Because of the increase in dimensionality, the mapping function Φ z i,j ) is made implicitly by using the kernel function satisfying Mercer's theorem.
2) By using the kernel based sparse learning approaches and the error correction strategy, the accuracy of the spot and probabilistic forecast results is guaranteed.
By using the kernel based sparse learning approaches and the error correction strategy, the accuracy of the spot and probabilistic forecast results is guaranteed.
We determine the contributing probabilities that correspond to each alternative P( U j ≥ U k ) for all k = 1, 2, …, 49, k ≠ j, and for each household in the sample by using the Kernel-Smoothed Frequency Simulator proposed by McFadden (1989).
It can be seen that the proposed VOP-ELM offers an improvement of 7.12% and 1.12%, an improvement of 4.98% and 1.13%, an improvement of 5.89% and 1.41% over the original ELM and the OP-ELM by using the linear kernel L, the sigmoid kernel S, and the Gaussian kernel G, respectively.
By considering the problem in a signal theory setting, we show that a principled and finite kernel hyperparameter search space can be discerned a priori by using the sinc kernel.
The libSVM [37] software was modified by using the proposed kernel to fit for our classifier, with the regularization coefficient and kernel parameters tuned by coarse-to-fine grid search and cross-validation.
By using the Weinstein kernel, we can also define a generalized translation.
