一种基于混合策略的自适应多输出高斯过程响应面法

An adaptive multi-output Gaussian process response surface method based on mixed strategies

针对工程结构数值模拟常常是矢量与函数（矢量函数）混合输出的特点,提出一种基于混合策略的含索引变量的矢量高斯过程响应面法,同时提出一种设计点自适应加密方法进一步提高效率。算例显示：本文方法能够优先拾取预测误差最大的点作为加密点;真实误差全部都落在最大可能误差范围之内,最大误差1.4%~1.6%远小于预设误差限5%,验证了本文方法的有效性。

In structural numerical simulations,many models give both vector type and function type of outputs,i.e.vector function type of outputs.For this reason,a new response surface method based on mixed strategies is presented,which is referred to as vector Gaussian process response surface method with index variables.To obtain higher efficiency,an adaptive process of thickening design points is also suggested together.An example is provided to show the validity of the new method.