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An additional regularized term is incorporated to jointly measure the disagreement between the predicted saliency and the objectiveness probability.
We design a cost function by taking the advantages of global maximum entropy as the first term, together with gradient constraint as the regularized term.
The regularized version of (1.1), (1.1) with the dissipative term κ α θ or the regularized term κ α θ t, is the dimensionally correct analogue of the 3D incompressible Navier-Stokes equations when α = 1.
The quasi-geostrophic equation with dissipative term κ α θ has received an extensive amount of attentions and has many results in theory and numerical analysis (see e.g., [2 7] for further references), but there are few results on the surface quasi-geostrophic equation with regularized term κ α θ t.
The penalized parameter c, balancing the empirical error and the regularized term, has an influence on the regression model.
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Figure 1 The exact and regularized terms given by the a posteriori parameter choice rule for Example 1 : (a) (pmb{alpha=0.2}), (b) (pmb{alpha=0.5}), (c) (pmb{alpha=0.9}).
In order to increase the robustness of the process, the authors proposed the regularized EM (RegEM) where a regularization term is added during the inversion of the correlation matrix in order to increase the robustness of the algorithm when more variables are present than data records.
The other network-regularized terms such as,, and are similarly considered.
We propose a regularized, pseudo-dynamical recursion scheme that provides a sequence of updates, which are almost insensitive to the regularizing term as well as the time step size used for integrating the pseudo-dynamical form.
To circumvent this problem, regularized CCA (rCCA) has been recently proposed by [ 1] when dealing with ill-conditioned covariance matrices by adding a regularization term on their diagonal.
Recently, much research has focused on regularized iterative reconstruction, in which additional regularizing terms are added to the error function that is minimized, exploiting prior knowledge about the scanned object to obtain accurate reconstructions from highly limited data.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com