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Asymptotic approximations show that the lowest modes of the prolate spheroidal wave equation are concentrated with an O(1/√c) length scale where c is the "bandwidth" parameter of the prolate differential equation.
The bandwidth parameter of the GWR model is set to be adaptive.
The bandwidth parameter of the total response was affected by the ratio of resonant and background components.
The bandwidth parameter of the Gaussian kernel can be chosen using either cross-validation (CV) or Bayesian methods.
By definition, the (i, j ) th element of the Gaussian kernel K is calculated as K i j = k (x i, x j ) = exp (− ‖ x i − x j ‖ 2 h ), (9 where ‖ x i − x j ‖ is the Euclidean distance between vectors x i and x j, in our case the 711,320 × 1 vectors of methyl values of epiRILs i and j, and h is the bandwidth parameter of the kernel, which controls the smoothness of the fitted surface.
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Useful information, including the range of frequency and bandwidth parameters of the flaw echoes, is also estimated.
Figure 19 shows the influence of bandwidth parameter on the peak factor of acrosswind response.
Open image in new window Fig. 10 Influence of bandwidth parameter on the peak factor of alongwind response.
Open image in new window Fig. 11 Influence of bandwidth parameter on the peak factor of resonant top displacement.
Open image in new window Fig. 19 Influence of bandwidth parameter on the peak factor of acrosswind response.
The bandwidth parameters of these typical wind-excited responses are determined from their power spectra.
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