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Firstly, a benchmark function is chosen to illustrate the potential of the proposed approach in dealing with function approximation problem.
Then, we choose self-organizing maps for the projection of individuals onto a 2-D space and experimentally evaluate the effect of visualization using a benchmark function.
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ADCQGA was first tested on a widely used benchmark function to illustrate the relationship between initial parameter values and the convergence rate/search capability.
The empirical results over a set of benchmark function classes illustrate that genetic programming can evolve mutation operators which generalise well from the training set to the test set on each function class.
After solving a set of parametrical benchmark function problems where interaction effects between variables exist, results of the benchmark tests show that the proposed simulated annealing algorithm with the IONF outperforms significantly both the simulated annealing algorithms with the existing orthogonal array based neighbourhood functions and the standard neighbourhood functions.
A set of well known benchmark function have been used to validate the better performance of DFO.
The solution of a system derived from one benchmark function of two variables with multiple minima is presented, and some conclusions were obtained for this application.
To make a comprehensive study on its scalability, ACHS is first tested on a group of benchmark functions with a 100 dimensions and compared with several state-of-the-art methods.
The modified WNNs were then applied in approximating a benchmark piecewise function.
The capabilities of the proposed approaches are illustrated through a benchmark analytical function and two realistic engineering problems.
The capabilities of the proposed approach are illustrated through applications using a benchmark analytical function and two realistic engineering problem settings.
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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