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The MAM achieves a high perfect recall rate by using a kernel image as an index for pattern recalling.
In the first stage, rain streaks are detected by using a kernel regression method under an assumption of the elliptical shape and the vertical orientation of rain steaks.
Calculating the probability from a set of samples is typically done by using a kernel density estimation (KDE) procedure [22], also known as a Parzen window method [23].
By using a kernel function, the embedding in the Hilbert space is actually performed implicitly, that is by specifying the inner product between each pair of points rather than by giving their coordinates explicitly.
Mode calculation is formulated as an iterative scheme of mean calculation, which takes a certain number of feature points and calculates their weighted mean value by using a kernel function, such as the Gaussian.
In nonlinearly separable cases, which almost always occur in classifying compounds of diverse structures [14 17, 50, 61 63], SVM maps the input vectors into a higher dimensional feature space by using a kernel function K(x i, x j ).
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Fast solutions O(N) are achieved by using a kernel-independent interpolation-based fast multipole method.
Therefore, the necessity to encode a chemical structure as a numerical vector using a set of explicitly calculated molecular descriptors could be avoided by using a structured kernel (i.e., a kernel that takes non-numerical objects).
These distributions are estimated from the age and size measurements of every cell at every time step of a given experiment f i or s i, by using a simple kernel density estimation method (kernel estimation is closely related to histogram construction but gives smooth estimates of distributions, as shown in Figure 1, for instance; for details see the Methods and Additional file 1).
Bias due to change points can to some extent be controlled for by replacing Equations (6) and (7) with a robust kernel estimator, and partly by using a truncated kernel (as above).
Once calculated, it is relatively easy to translate these networks into kernels for kernel-based learning methods [e.g. by using a diffusion kernel (Kondor and Lafferty, 2002; Qi et al., 2008)].
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.
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