error function


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error function

[′er·ər ‚fəŋk·shən]
(mathematics)
The real function defined as the integral from 0 to x of e -t 2 dt or e t 2 dt, or the integral from x to ∞ of e -t 2 dt.
References in periodicals archive ?
Considering the form of the error function provided in Equation (5), for p output nodes and m input-output pairs, the error becomes:
j] [less than or equal to] 1 is a weight factor for a given j-th term and - stands for the dot product of two vectors, The error function so defined gauges the angular misalignment between vectors [[~.
The error function will be written as a sum, over all patterns in the training set, of an error defined for each pattern separately,
F](*) is the tables cumulative length function, the constraints [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII](*) are the maximum absolute relative error functions, and F = {[f.
The backpropagation algorithm is based on the selection of a suitable error function or cost function, whose values are determined by the actual and desired outputs of the network, and which is also dependent on the network parameters such as the weights and the thresholds (Jacek, 1995).
This training algorithm is one of second order error function optimization methods for Training neural networks [15].
Key words: 3D imaging systems; cylinder fitting; directional error function; Nonlinear Least Square fitting; orthogonal error function.
Both methods are iterative and solve an optimum problem: determining the synaptic weights w of the network so that they would minimize the error function expressed as a sum of squares of the other functions (Hagan & Menhaj, 1994):
HighWave has supplied its last generation of Gain Flattening Filters featuring its unique Randomised Chirped Bragg Grating technology allowing non-systematic Error Function on the amplification spectrum.
The idea behind our method is to find the best size step possible to minimize an error function.