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After the EM step, misclassified WM regions within 2 3 voxels from the brain surface were relabeled as CSF using morphological erosion operation with a 2D kernel measuring 3×3 voxels.
Bunescu and Mooney (2005) developed a machine learning approach that explores a sequence kernel measuring the similarity of two sentences by evaluating the common string sequences that they contain.
At each pixel, the displacement between reference signal and ultrasound pulse-echo signals collected at 1 kHz pulse repetition rate during and after the magnetic excitation was estimated from the position of the maximum of correlation coefficient calculated using a correlation kernel measuring 750 μm axially and 100 μm laterally.
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Figure 8 displays the obtained running time in milliseconds for a single kernel measured using different resolutions with bandwidth parameters h s = 0.02 and h s = 0.05.
The LA kernel measures the similarity between two sequences by adding up the scores obtained from local alignments with gaps of the sequences.
Because a tree kernel measures the similarity of trees by counting common subtrees, it is expected that the system finds effective subsequences of dependency paths.
With the Gaussian kernel and K-kernel (Fig. 3a, b), a significantly improved fit to the data of the alternative kernel measured by reduction of the AIC was associated with an increase in power.
The right-most columns of Table 2 give the evaluation of predictive ability of the kernels measured as the correlation between predicted values and observed PTA, and MSE of prediction, for several different bandwidth parameters (G 1∗ and G 2∗ do not involve this parameter).
For the second approach, a generalization of heat kernel measures is needed.
Brownian motion and the corresponding heat kernel measures, {νt}t>0, are also studied.
In this paper we consider heat kernel measure on loop groups associated to the H1/2-metric.
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