### Table 10: Performances of different wavelet basis functions

"... In PAGE 25: ...bio2.4 wavelet. Their performances are depicted in Table 10. Table10 shows that the performances of the harr and sym2 wavelets are very close to the db4 wavelet. Although other wavelets a little underperform the db4 wavelet, their performances are also better than some other methods shown in Table 8.... ..."

### Table 1: True generalization error for Gaussian, Wavelet, Sin/Sinc Kernels with Regular- ization Networks and Support Vector Regression for the best hyperparameters.

"... In PAGE 22: ... This is repeated for a hundred di erent datasets, and the mean and standard deviation of the generalization error are thus obtained. Table1 depicts the true generalization error evaluated on 200 datapoints for the two learning machines and the di erent kernels using the best hyperparameters setting. Analysis of this table leads to the following observation : The di erent kernels and learning machines give comparable results (all averages are within one standard deviation from each other).... In PAGE 23: ... Table 2 summarizes all these trials and describes the performance improvement achieved by di erent kernels compared to the gaussian kernel and sin basis functions. From this table, one can note that : - exploiting prior knowledge on the function to be approximated leads immediately to a lower generalization error (compare Table1 and Table 2). - as one may have expected, using strong prior knowledge on the hypothesis space and the related kernel gives considerably higher performances than gaussian kernel.... ..."

### TABLE I RESULTS ON USING DIFFERENT WAVELET BASIS AND DECOMPOSITION LEVELS.

2006

### Table 5: Location of the roots of r for the most regular wavelets for nz = 2.

1998

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### Table 6: Location of the roots of r for the most regular wavelets for nz = 3.

1998

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### Table 7: Location of the roots of r for the most regular wavelets for nz = 4.

1998

Cited by 2

### Table 1. Regularity and Smoothness of a few wavelets (from [2])

### Table 1: Wavelets properties Wavelet Name Short Name Orthogonality /

"... In PAGE 2: ...1. Filters A variety of standard wavelets was used in the experiments which are summarised in Table1 . It is worthwhile mentioning that although regularity, smoothness and the number of vanishing ... In PAGE 3: ....1. Testing Different Wavelet Transforms In this experiment the image xslow was fused with plow using the full details substitution rule. The fusion was performed for all wavelets presented in Table1 using both decimated and undecimated transforms. Then the fusion performance was evaluated by calculation the RMS between the corresponding products and the reference image.... ..."

### Table 5: Wavelet Packets

"... In PAGE 3: ... Some tools to manage the different formats have been included. Table5 lists most of these routines, together with those of the next section. Moreover, the viewing utilities allow the user to plot the time-frequency plane tiling performed by a certain wavelet packet basis, or the corresponding filter bank tree scheme.... ..."