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This results in a synthetic data vector, which is inverted using the same regularization scheme as that used for the inversion of the real data.
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Although a matrix form of γ can potentially be adopted so as to enable the separate adjustment of regularization strength for each dust model parameter, here, we use the same regularization parameter of γ = 1 for all dust model parameters for the sake of simplicity.
One weakness is that the parameters used to construct Ω ~ are randomly generated from p which degrades the approximation accuracy of Ω ~ to Ω. Another problem is that the utility bounds use the same regularization parameter value to compare the private and nonprivate classifiers.
However, we also derive a model using the same model regularization as CHAOS-2s, but applied to the extended data set of CHAOS-3.
Note that ℓ1-regularization logistic regression can be obtained from KELLER: we only need to apply a uniform weight w(t i )=1/ n to all observations and estimate a single network using the same objective as Equation (5).
That is, the same regularization parameter λ1 is used for each coefficient without assessing their relative importance.
As a consequence, the same regularization parameter (which has to be chosen depending on the noise level) can be used for both the CPU and GPU implementation.
We used the ratio of data misfit and the value of each stabilizing functional as the initial value of regularization parameter, we kept the same regularization parameter if the data misfit decreases during the inversion, while we set (alpha_{n + 1} = 0.9*alpha_{n}) if the data misfit did not decrease (Zhdanov 2002).
The government has funnelled the estimated hundred and ten thousand people belonging to this vulnerable group into the same regularization plan as the foreign-born; fewer than nine thousand of them have thus far succeeded in lodging their cases with the state.
We adopt the same initialization of level set function and the same regularization parameter.
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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