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and reducing the problem from a joint maximization over the set of all to a set of optimizations over a single variable.
where the first inequality follows from (13), the second one follows trivially from the maximization over the users, and the last equality follows from (11) and (10), respectively.
This causes a maximization (over the range of input frequencies f) of the maximum value v max on the limit cycle trajectories.
We estimate the mode by maximization over the curve estimator, which is given as a weighted mean of the observations, including most of the common kernel estimators, such as Gasser Müller, Priestley Chao and Nadaraya Watson.
defines a MISO contrast function, that is, its maximization over the set of unit norm vectors (∥ g∥2=1) leads to a vector g with only one non-zero component.
The prediction profile likelihood (9) PPL (z ) = max θ ∈ { θ | F (D pred, θ ) = z } LL (y | θ ) is obtained by maximization over the model parameters satisfying the constraint that the model response F(D θ∗) after fitting is equals to the considered value z for the prediction.
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Maximization over both the parameter space Θ and a subset of the parameter space Θ 0 is related to the maximum likelihood estimator (MLE) of θ (known as unrestricted θ ̂ and restricted θ ̂ 0 estimators) [9].
Then, combining (26) with (24) and (21), normalizing the expression with T B c in order to have the effective capacity in the units of bits/s/Hz, and considering the maximization over power adaptation policies, we reach to the effective capacity formula given in (23).
If w 2=0 (w 1=0), however, the WSR maximization over C OB (6) reduces to maximizing the cut-set bound for the one-way relay channel with terminal 1 (terminal 2) being the source and terminal 2 (terminal 1) being the destination.
where the maximization is over the set of powers P l n.
Figure 6 Expectation maximization algorithm over the spatial distribution of the eye pixels: (a) eye image, (b) ellipse parameters: center, axes, and inclination angle.
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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