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For discretization in time, the temporal moment release history at the center of each subfault was represented by several time windows, and its basis function was a smoothed ramp function.
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Though its basis functions are simply piecewise polynomial functions, it has the same shape design strengths as the rational piecewise polynomial based spline techniques such as NURBS.
The direct meshless local Petrov Galerkin method is a newly developed modification of the meshless local Petrov Galerkin method that any linear functional of moving least squares approximation will be only done on its basis functions.
This BVP is advantageous in terms of the inverse problem because the gradient of its basis functions are orthogonal in the volume of the spherical cap.
Conversely, the computation of the forward transforms is slightly more complex, due to requiring an extra normalization stage to compensate the different norms of its basis functions.
In addition, the PSP-spline technique implicitly integrates the weights of shape control primitives into its basis functions, which allows users to design a required geometric shape based on weighted control primitives.
However, standard wavelet transform is limited by spatial isotropy of its basis functions that is not completely adapted to represent image entities like edges or textures, which means wavelet-based coding algorithms are suboptimal to image compression.
Although OF was consistently more kurtotic than either ICA or PCA, OF must be substantially over-estimating the selectivity of its basis functions to process natural scenes, since ICA optimises this directly.
Its spatial basis functions are chosen among the free-space solutions of the homogeneous form of the partial differential equation obtained after time-discretization.
Upon receiving an input vector, each node in the hidden layer then generates an activation based on its associated radial basis function ϕ i (v).
In this section, we describe the basic structure of the non-linear single hidden layer feed-forward neural network (SLNN) with two of its variants, the radial basis function neural network and the Bayesian regularized neural network.
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