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本文分析了插值型代理模型的特性,提出了影响插值代理模型的推广能力的重要因素是代理模型的振荡特性,分析表明:振荡剧烈的代理模型,其推广能力就弱。为了评价代理模型的推广能力,本文提出基于能量函数方法的评价方法。能量函数方法是通过计算代理模型的一阶和二阶导数,得出代理模型的振荡情况来进行评价。能量函数越高,代理模型的振荡越剧烈,因而其推广能力越差。测试函数表明,能量函数方法在评价代理模型推广能力上是有效的。
In this paper, we analyze the characteristics of the interpolation proxy model and propose that the important factor influencing the promotion capability of the interpolation proxy model is the oscillation characteristic of the proxy model. The analysis shows that the proxy model with severe oscillation has weak promotion ability. In order to evaluate the promotion ability of the proxy model, this paper proposes an evaluation method based on the energy function method. The energy function method evaluates the oscillation of the proxy model by calculating the first and second derivatives of the proxy model. The higher the energy function, the more violent the oscillation of the proxy model, and the worse its promotion ability is. The test function shows that the energy function method is effective in evaluating the promotion ability of the proxy model.