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In this paper, the problem of efficient learning specific neural networks including reciprocal activation functions of the 1/(.) type is discussed. The considered networks can be used, when applying polynomial descriptions, to create symbolic models of unknown laws governing a given set of empirical data. Coefficients of the polynomials are determined in the process of learning the network. However,...
The problem of utilizing atypical neural networks to create a symbolic description of rules governing a set of empirical data is considered. We propose to use fractional–rational or polynomial functions as a versatile tool to describe the unknown empirical–data rules. Our aim is to transform basic forms of these functions to others, suitable for neural implementations, i.e. by means of special–type...
In this paper, a possibility of discovering laws governing empirical data whose interrelations can be expressed in a multidimensional polynomial form is considered. A novel atypical perceptron with reciprocal type activation functions is proposed. This perceptron implements the polynomial relation and enables determining the polynomial coefficients by training the perceptron. The perceptron is simple...
In this paper, a possibility of discovering laws governing empirical data by means of special type neural networks is discussed. We outline main idea and present new networks suitable for this task. The network presentation is combined with a preliminary classification of the applied symbolic relationships used to describe a given numerical data. We also show what operators can play a role of activation...
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