Sentence examples for method the kernel from inspiring English sources
There are two key issues for the kernel-based regularization method: the kernel structure design and the hyper-parameter estimation.
In this method, the kernel PCA is adopted, and we have to calculate the projection onto the nonlinear subspace using the kernel trick, i.e., we cannot perform the direct projection.
Regarding the mixed-size sediment, a nonlinear programming method, which is different from the conventional 'least-squares with non-negativity' method, the kernel density method, and the maximum entropy method, was used to obtain the representative grain sizes and associated sediment inherent parameters, such as mean diameter, median diameter, sorting, skewness, and kurtosis.
With Gaussian kernels that had σ ≤ 0.12 using the cell integration method, or σ ≤ 0.22 using the cell center method, the kernel error was greater than 10%, which resulted in invasion times that were orders of magnitude different than theoretical results.
In Borgwardt's method, the kernel is defined by the product graph, which is a composite graph whose nodes are tuples of vertices from each network.
While risk estimates were sensitive to socio-economic gradients and the type of exposure method, the kernel density measure demonstrated a large increase (OR 2.51, 95% CI 2.00 - 3.15) in the risk of asthma emergency department presentation for the high exposure group compared to the low exposure group [ 30].
Many methods were proposed to deal with that problem including a series expansion method [4], the kernel method [5] and wavelet method [1, 6], etc.
Table 3 shows the approximate solution obtained by the Euler wavelet method, reproducing the kernel method and CAS wavelet methods.
In this study, an alternate sampling method to the kernel sampling method (KSM), cylinder sampling method (CSM), was designed to investigate rice texture with respect to different soaking and boiling time.
This section reviews the decomposition based on KSVD algorithm and introduces our Kernel KSVD method in the kernel feature space.
Thus, the proposed method extends the kernel function to a multiple kernel version as shown in Equation 8.
