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Exact(4)
As will be shown in the simulation results, even with the sub-optimal approach which maximizes the lower bound, the proposed method can achieve performance similar to the optimal solution obtained by exhaustive search.
Therefore, when the BB tries to maximize its revenue (i.e., ∑ i = 0 M p i r m i ), it also maximizes the lower bound of the served SSs (i.e., 1 p stream ∑ i = 0 M p i r m i ).
Then, through the application of random matrix theorem, we propose an efficient scheme for power allocation between pilot and data symbols which maximizes the lower bound of postprocessing signal-to-interference-and-noise ratio (SINR) for MIMO systems with equal number of transmitter and receiver antennas.
Another reason for making this assumption lies in the fact that a signal that is a zero-mean uncorrelated complex Gaussian distributed maximizes the lower bound (which is given with respect to a zero-mean uncorrelated complex Gaussian noise vector) on the mutual information between the input and the output for of MIMO channels [18, 29].
Similar(55)
Optimal portfolios are here based on maximizing the lower price of the portfolio.
Thus, for some fixed value of, we can directly apply (35) to maximize the lower bound (28).
In fact, some family of Q distributions can be chosen and the best approximation within this family is found by maximizing the lower bound with respect to Q.
Specifically, the objective of locating the facilities is to maximize the lower limit of future earnings based on a stated confidence level.
For maximizing the lower bound and re-estimating the parameters, we have a constrained optimization problem because all parameters indicate probability distributions.
Thus, we can also maximize the lower bound (mathcal {L} eta,phi,zeta ;alpha,beta,mu _{1 C},sigma _{1 C})) with respect to the parameters {α,β,μ 1 C,σ 1:C }.
Numerical power allocation (Numerical-PA), with the values of αtand βtobtained by a numerically exhaustive search to maximize the lower bound on the training-based achievable rate in (23).
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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