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The generating functional will be an infinite dimensional generalization for the familiar generating function for a single random variable.
The natural generalization of convex functions for n variables is a subharmonic function and similarly of concave functions it is a superharmonic function.
In order to achieve this goal, we apply the softmax function, regarding it as a generalization of sigmoid function for the multi-SVM case.
Recently many researchers have investigated the importance and great consideration of Mittag-Leffler function in the theory of special functions for exploring some of their generalizations and applications.
This paper also presents new results on the construction of storage functions for control affine systems, as a generalization of physics-based approaches to dissipative systems theory.
A natural generalization of the cost function for paths in graphs to hypergraphs is the sum of the costs of the hyperarcs contained in the hyperpath.
Another generalization concerns functions between differentiable or smooth manifolds.
In SVM regression, radial basis function (RBF) (1) was the most commonly used kernel function for its better generalization ability, less number of parameters, and less numerical difficulties [ 33] and was used in this study.
We also consider a generalization of Cobb-Douglas to a translog function for KD and LD.
ELM has several advantages, ease of use, faster learning speed, higher generalization performance, suitable for many nonlinear activation function and kernel functions.
This restricts generalization for this part of our study.
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