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Our analysis exhibits that the cost function surfaces of the two proposed methods are smooth.
Our analysis shows that the augmented cost function surfaces used in the two proposed methods are smoother; which can ease the optima searching process and hence enhance the robustness and speed of the search algorithm.
Here, we use the G1/S model to show the differences of the cost function surfaces between NLP-P0 and NLP-P3: in this case, the cost function of P0 is a highly irregular and complicated manifold with multiple local minima; the augmented cost function adopted in problem P3 is a much "smoother" function and hence it is easier for the NLP algorithm to converge to the solution.
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The marriage of fashion and high function surfaced in the early 1990's when Puma joined with Xuly-Bët, an avant-garde label, to whip up evening dresses made from the company's soccer jerseys.
Along with the improvement of uniformity, the curvature description of objective function surface gradually becomes more important.
New bionic function surface inspired from desert scorpion was developed for erosion resistance application in this research.
The results of first-principles calculations of true surface and resonance surface states, charge density distributions, work function, surface layer geometry and surface phonon frequencies are given.
We apply Bayesian analysis and determine a utility function surface corresponding to the value of information gained by the respective experimental design point.
This was established for spline approximations and for wavelet approximations, and more recently by DeVore and Ron (in press) [2] for homogeneous radial basis function (surface spline) approximations.
Finally, the image segmentation contour is acquired by the zero level set on the level set function surface (Fig. 3).
This computationally predicted function surface appeared to overlap with that of α-toxins determined experimentally (Gordon et al., 2007).
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