Evolutionary Approach to Machine Learning and Deep Neural Networks by Hitoshi Iba

Author:Hitoshi Iba
Language: eng
Format: epub
Publisher: Springer Singapore, Singapore

In the reduction phase of VIGP, a tree is converted to a rational polynomial of the following form:

(4.13)

where . The numerator and denominator, respectively, are then reduced using a basis of a vanishing ideal. Finally, the reduced rational polynomial is converted to a tree by concatenating trees of the numerator and denominator with a division operator. We compared VIGP with GP in the case of rational polynomials, and the results are shown in Fig. 4.7. The average height and minimum MSE in the final generations are given as the average of twenty trials. The experimental conditions are described in Table 4.3, and the following target functions were used:

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