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Thus, the environment of each mobile user, including its opponents, is dynamic and may not insure convergence of the algorithm.
We investigate both the requirements for an initial guess to insure convergence and the computational efficiency of freezing the Jacobian matrices (approximate Newton method).
In order to insure convergence of the sequence of approximate optimizations to a Karush Kuhn Tucker solution, a trust region model management or move limit strategy is required.
Usually, two or three iterations are sufficient to insure convergence.
One solution is the use of a constriction factor to insure convergence of the PSO, introduced in [ 45].
We checked that standard deviation of the split frequencies fell below 0.01 to insure convergence in tree search.
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The approach which is based on a net-exchange formulation and on adapted optical path sampling procedures is carefully designed to insure satisfactory convergence for all types of optical thicknesses.
To insure proper convergence, we performed repeated runs for each model (with different starting values) and confirmed that the distribution of selective pressure described by estimates under models M2a and M8 were compatible with the distribution estimated under M3 for all datasets analyzed.
Therefore, in order to insure the convergence of each variance estimate considering a small safety margin, around 150 000 sample points are needed.
Using the concept of sliding mode equivalent control techniques, a robust decentralized adaptive controller which insures the exponential convergence of the outputs to the desired ones, is obtained.
Adaptive mechanisms are also included to insure the solution quality and to improve the convergence speed.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com