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To distinguish between the two approaches, this approach is named as MDSInit while the random multiple restart approach is named as RandInit.
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Where a 50-time multiple restart was applied, the RandInit approach provided consistent error performance and outperformed the MDSInit approach in terms of missing-pairwise tolerance, at the expense of a processing time that is up to 20 times longer.
The key difference in their approach is in that a gradient descent algorithm was applied in the process of minimization, and that a multiple restart scheme was used to avoid local minima.
In addition, restart pressure under gradual restart approach was observed to be higher than that for instantaneous restart approach.
Figure 6 (a) Error performance; (b) processing time with the number of multiple restart is constrained to 15, an empirical level at which both the error and missing distance tolerance performances are comparable for both approaches.
The number of random multiple restart allowed for RandInit is limited to 50, from which the solution with the lowest stress function value was selected.
We let this algorithm run over several days (as opposed to few hours spent using our approach), with multiple restarts, and discovered that it provides very poor sensitivity and specificity (see Table 4 for the best results obtained).
Power maintained his advantage through multiple restarts before being challenged on the final lap by Ryan Hunter-Reay.
Evolutionary Algorithms (EAs) due to their population-based approach are able to detect multiple solutions within a population in a single simulation run and have a clear advantage over the classical optimization techniques, which need multiple restarts and multiple runs in the hope that a different solution may be discovered every run, with no guarantee however.
Multiple restarts versions find better solutions but are slow on serial computers.
Here, we study two parallel implementations on SIMD computers of multiple restarts Hopfield networks for solving the maximum clique problem.
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