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It is easy to deduce from the upper bound in (9) that the channel capacity in the absence of atmospheric turbulence is obtained by maximizing over, that is,, where is (15).
Since (B.1) is continuously differentiable over the new feasible region given by (B.3) and (B.4), we can now apply Theorem 3. Thus, we can devise an iterative algorithm to maximize the function, by maximizing over for fixed ( for fixed ) and then maximizing for fixed ( for fixed ).
Note that maximization of above term over is equivalent to maximizing over general.
Note that maximization of above term over is equivalent to maximizing over general, and henceforth, without loss of generality we consider the general probability distribution.
In effect, one infers the face pose and landmarks by maximizing over all mixtures and over all possible shapes given the patch HOGs.
Then, substituting (14) in (7), the ergodic capacity is numerically obtained after maximizing over the expectation with respect to the PDF in (2) of the conditional mutual information.
Similar(44)
Our aim is to minimize the variance of the estimation error to maximize over and.
When one has a choice of which variables to integrate over and which to maximize over, it is suggested that one would integrate over as many variables as possible in order to capture the relevant volume information of high-dimensional probability distributions (MacKay, 1996, 1999).
Here maximal means that we maximize over all possible signal input phases relative to the bias input.
As can be seen, the above game problem (14) is reduced to a finite number of maximization problems in which low order multivariable polynomials are maximized over boxes.
Finally, is maximized over.
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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