Sentence examples for their regularized from inspiring English sources

Their regularized counterparts for well-posing the problems are also presented in this section, which are used in numerical computation in this paper.

In addition, one must choose a certain spatial support for the deformable kernels and their regularized inverse quadratic version ("the inverse kernels", in short).

In order to avoid singularity in numerical implementation for Equation 15, the Heaviside function and Dirac function are usually approximated by their regularized version with a small positive regularized parameter ϵ as H ϵ ϕ = 1 2 + 1 π arc tan ϕ ϵ (16a) δ ϵ ϕ = 1 π ϵ ϕ 2 + ϵ 2 (16b).

To obtain a conglomerate estimate of the likelihood of DE, all genes were ranked according to the absolute value of their regularized t-statistic (ranking according to p-values or FDRs would give the same order of DE genes) for each of the three methods separately and a list of genes was produced based on the average rank of all three methods.

Simulation results for four approaches are discussed, namely: the classical phase-field model, the natural model with the orientation-dependent potential, as well as their Willmore-regularized models, whereby an additional term is incorporated in the objective functional.

"I think with the new rules the government will be expecting service providers to govern their content in a more regularized way, and this is what our system can do," she said.

Some critical points in the model, like the assumed wavelength-independence of the refractive index and the fixed grid of investigated refractive indices, are studied with regard to their expected impact on the regularized solution.

They found that the least regularized subset selected by their random forests with minimal regularization ensures better accuracy than the complete feature set.

Using a subset of the original variable set, new models were computed and their performance as measured by the regularized training gain (the average log probability of the presence samples, corrected for a uniform distribution with gain = 0) compared to that of the full model (Phillips et al. 2006).

Main (direct) deformable kernels are represented in the first column, their interpolation functions are in the second column, inverse regularized deformable kernels are in the third column and their interpolation functions are in the last column.

Undocumented and non-citizen Muslims sometimes endure a particularly nasty kind of targeting by federal authorities, like being pressured to inform on their communities in exchange for help become regularized.