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A slightly modified error function of the back propagation algorithm resolved this shortcoming and accelerated convergence to a solution.
It is demonstrated that the modified error function method satisfies the relation of energy conservation very well for the three edge conditions examined.
The modified error function does not include the so-called Lagrange multipliers used in the original method and therefore the modified solution is independent of the selection of the Lagrange multipliers.
Peng and Zhang [77] proposed a back propagation (BP) algorithm based on modified error function to overcome a major problem of long training time of the BP algorithm and chance of falling into local minima.
The calculation of the concentration-dependent diffusion coefficients was performed by fitting a modified error function on the measured concentration profiles assuming the nonmetal diffusivity being an exponential function of the nonmetal concentration.
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For applying to spatially complex shape control, a modified shape error function based on the relative error between computed and desired surfaces is used.
In the case of threshold measurements, this error function is modified slightly; see Smith et al. (2004) for further details.
The learning rate is adaptively modified according to the observed behavior of the error function.
Complementary error function of x.
Function erf represents the error function.
CPT search space; Fitness function (error function).
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