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In one patient, increased regularization prevented the algorithm fitting the image to the template, so images from this patient were renormalized using standard regularization and cost function masking (Brett et al., 2001).
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When we increase the regularization parameter, at some point the weight on the a priori becomes non-negligible and the retrieved parameter tends to be drawn toward its a priori value.
Increasing the regularization multiplier may also improve Maxent's generalizability [76].
Our simulations indicate that the features (i.e. conformations in the ensemble) are uncorrelated to a large extent, indicated by the overall smooth trends for ω as we increase the regularization penalty λ.
Though some results have been derived in [34], they only cover a very weak form of stability, which states that the solutions of (2) with perturbed data stay close to the solution with unperturbed data, if one additionally increases the regularization parameter β in the perturbed problem by a sufficient amount.
Using a 3.0 GHz Xeon processor, a single clustering demanded 8 14 hours while training the un-regularized RBF network took 7 9 hours and the time needed for convergence increased as the regularization parameter increased up to 3× with λ = 64.
However, for the inverse kernel the effective support will depend on the amount of regularization: the effective size will decrease as the regularization increases, and vice versa, because regularization increases the smoothness of the Fourier spectrum.
The experimental results show that the structural similarity of image restoration method based on double regularization is increased, and the image quality is improved.
The comparison between Figs. 5 and 8a indicates that Tikhonov regularization has increased the predictive performance of PFE and the optimized PFE could be an indicator that there is a considerable nonlinear relation between porosity values and similarity attribute.
It can be noticed that the contraction term from (19) always decreases when the regularization constant increases, while the expansion term from (20) always increases when the regularization constant decreases.
The regularization strength is increased by increasing the value of γ.
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