Analytical Method of Reducing Dimensional and Mapping and Its Applications
Lie Yan, De Ma · Jisuanji yu yingyong huaxue · 2000
The sample datum in multidimensinal space are mapped to the two dimensional plane by a neural network. The contours of objective fuction are produced automatically on the plane, which completely reveals the characteristic and the shape of the operational space which sample datum cover. The optimal operational point or region on this mapping plane can be determined intuitively. An arbitrary point on the mapping plane may be reverted to original multi dimensional space by the algorthm of reversal mapping. This paper described briefly the basic principle of the method. The availability of the method was illustrated with the examples of the operational optimization. The results show that this novel method is superior to pattern recognition.