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There are many approaches to regularize a nonlinear spatial warp (see Modersitzki 2003, for a detailed treatment).
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In this article, we take an iterative approach to regularize random forests to obtain refined rules without compromising the performance.
Our current approach to regularize the warp was favored over alternative methods due to its flexibility and relative ease of implementation.
In this context, two artificial viscosity approaches are employed to regularize the solution near shocks: an element-wise constant viscosity technique and a PDE-based smooth viscosity model.
As a result, our approach is more efficient compared to the PBLS method[24] to regularize zero-level contours.
A non-linear damage evolution approach was first proposed by Maimí et al. (2007) to regularize the energy dissipated at a material point by each failure mechanism.
That is, participants were faster to read regular words than pseudowords but slower to regularize words than pseudowords.
Several ways to regularize the PSSM, including pseudocounts, Dirichlet mixtures, and Bayesian approaches, have been proposed [ 33- 35].
Previous applications in the use of SVD-based truncation methods for Jacobian inversion are well documented [ 34], however, our approach differs from previous work since we are not using the SVD approach to achieve a pseudo-inverse of the spectral Jacobian, but instead using it to regularize the wavelength dependant Jacobian, and then calculate the pseudo-inverse of its spectral counterpart.
President Bill Clinton sought to regularize such exports.
And then Secretary Powell added, "We want to regularize this.
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