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Owing to the local optima issue, some blurred and unsuccessful layouts are obtained.
Through several numerical tests for various configurations of piezoelectric materials, it is found that depending on the choice of penalization value, complex behaviors of energies are possible and these in turn lead to a serious local optima issue in TO.
Furthermore, we find that a stress singularity issue linked to the local optima issue arises in the ECP method that is different from that of the density-based TO.
And it is found that the existing qp-relaxation stress interpolation scheme to resolve the singularity issue in TO just shows the local optima issue in reinforcement TO design with different penalization factors in Solid Isotropic Material with Penalization (SIMP).
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The artificial neural network technique has been widely investigated, but it requires a large amount of historical data for model training and suffers from local optima and overfitting issues.
When doing phylogeny inference the local optima problem really becomes an issue.
While PSO is easily complicated by the existence of nonlinear fitness function with multiple local optima, this is not an issue for DBM-PSO.
Neglecting issues regarding non-global optima, we expect the l-method to find a solution that is optimal only with regard to the data probability, while the r × t-method should eventually find the optimal solution including the priors on rates and times (i.e. with the same optimal data probability but a better prior probability).
The issues of overfitting and local optima often happened during RBFN training.
As the authors of this report mention, GAs can suffer from issues of convergence to local optima, as all optimization algorithms do.
Even if the MINLP model converges, there is still the issue of getting trapped in local optima during the search.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com