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Exact(9)
Thus, for some fixed value of, we can directly apply (35) to maximize the lower bound (28).
Specifically, the objective of locating the facilities is to maximize the lower limit of future earnings based on a stated confidence level.
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 }.
We then performed a numerical optimization as mentioned above and determined that the following values result maximize the lower bound obtained in (49): P dt = 0. 32, P t = 0. 41, P d = 0. 27 and N t = 4.
Various bit allocation schemes were proposed for CoMP-CB systems to minimize the rate loss led by the quantized CDI [5,6] or to maximize the lower bound of per-user rate [10].
In this paper, we use a variational inference method, which alternates between obtaining a tractable lower bound to the true log-likelihood and choosing the model parameters to maximize the lower bound.
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Optimal portfolios are here based on maximizing the lower price of the portfolio.
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.
For maximizing the lower bound and re-estimating the parameters, we have a constrained optimization problem because all parameters indicate probability distributions.
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.
For the two new multiple-threshold schemes, different thresholds are used for different possible rank values, and each threshold is derived by maximizing the lower bound on the probability of correct rank detection when a specific rank value is assumed.
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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