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As described in [21, 22], the correntropy can be treated as a generalized correlation function characterized by the kernel bandwidth, which controls the observation window and provides an effective mechanism to eliminate the detrimental effect of outliers.
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By making the best of positive correlation between the target size and the corresponding kernel bandwidth, Chu et al. [13] adopt the gradient of the density estimator with respect to the kernel bandwidth to update the scale of tracked objects.
An intuitive approach of solving the first problem is to run the algorithm with three different kernel bandwidths, former bandwidth and former bandwidth ±10%, and to choose the kernel bandwidth which maximizes the appearance similarity (±10% method) [12].
Indeed the bin for the histograms plays exactly the same role as the kernel bandwidth.
The use of KDEs to evaluate the MI coefficients requires the optimal selection of the kernel bandwidth h.
A Gaussian kernel is specified in all SKDEs and the kernel bandwidths are specified by distance, not the number of nearest neighbours.
The main parameters of the previous routine [41] —the smoothing kernel bandwidth plus the number of singular nodes and motif groups are now selected based on the data.
The optimum kernel bandwidth in the GRNN model was determined by the grid search method for reducing the cross-validation error.
The first problem is the fixed scale of the kernel or the constant kernel bandwidth.
The proper kernel bandwidth has been estimated by applying the above-mentioned cross-validation approach (equation (7)).
The color field represents the nonparametric fits made to these data for the optimal kernel bandwidth.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com