A Dynamic Sample Point Selection Method Based on Correlation Principle
A sample point and correlation technology, applied in the field of selection, can solve the problems of "unreasonable distribution of sample points, failure to realize the distribution of sample points on demand, etc., and achieve the effect of high utilization efficiency
Active Publication Date: 2017-11-17
WUHAN UNIV OF TECH
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Problems solved by technology
At this time, using uniform design to select sample points will have the problem of unreasonable "distribution" of sample points, and the "as-needed distribution" of sample points has not been realized.
Method used
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[0073] see Figure 9-19 , using the Peaks function as the optimization variable, the expression of the Peaks function is:
[0074]
[0075] see Figure 10 , using the uniform design method to select 33 sample points in the entire space of the Peaks function, and normalize the data. Then the leave-one-out method is used to calculate the leave-one-out error of each sample point respectively. The approximate model uses the radial basis neural network model to calculate the variation functions in the x direction and y direction respectively to obtain the range value a x and a y ,As shown in Table 1:
[0076] Table 1 Variable range of variables
[0077]
[0078] After comparison, the points with larger errors of leaving one out are the 12th point, the 14th point, the 15th point, the 16th point, the 17th point, the 18th point, the 19th point, the 21st point and the 22nd point, according to each Variable range value a of variable direction x and a y , calculate the range...
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The invention discloses a dynamic sample point selecting method based on the relativity principle. According to the method, based on the relativity principle, according to the initially-selected sample point information, leave-one-out errors of all sample points are calculated, for the sample points with the large leave-one-out errors, a variation function is used for calculating the influence range of the leave-one-out errors in each variable direction, then the plus point area range of the sample point in each variable direction is determined, at last, sample points are additionally selected in each plus point area, and therefore targeted selecting of the sampling points is achieved. According to the dynamic sample point selecting method based on the relativity principle, the selecting interval of the sample points is guided by fully using the characteristics of performance space, so that the 'distribution according to needs' of the sample points is achieved. The demand for the sample point distribution of function space is considered on the sample point selecting aspect, the precision of a corresponding approximation model is obviously higher than the precision of an approximation model corresponding to one-time sample point selecting, and the utilization efficiency of the sample points is higher.
Description
technical field [0001] The invention relates to a sample selection method, in particular to a dynamic sample point selection method based on the principle of correlation. Background technique [0002] Since the numerical calculation of ship type performance is time-consuming, and hundreds of ship type schemes need to be calculated in ship type optimization, in order to improve the efficiency of ship type optimization and realize its engineering application, it is often necessary to construct an approximate model of ship type related performance. In the process of constructing the approximate model, the selection of sample points is very important, because it provides the data basis for the construction of the approximate model. Each sample point here represents a scheme, that is, a ship type scheme. The traditional approach is based on the variation range of the variable, in the variable space G s Evenly select the sample point P in n (P 1 , P 2 ,…P n ), and then calcu...
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IPC IPC(8): G06F17/50
Inventor 常海超
Owner WUHAN UNIV OF TECH