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A Taylor series approach to the robust parameter design of computer simulations using kriging and radial basis function neural networks

机译:泰勒系列方法采用Kriging和径向基础函数神经网络的计算机模拟鲁棒参数设计方法

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>Robust parameter design is used to identify a system's control settings that offer a compromise between obtaining desired mean responses and minimising the variability about those responses. Two popular combined-array strategies - the response surface model (RSM) approach and the emulator approach - are limited when applied to simulations. In the former case, the mean and variance models can be inadequate due to the high level of nonlinearity within many simulations. In the latter case, precise mean and variance approximations are developed at the expense of extensive Monte Carlo sampling. This paper extends the RSM approach to include nonlinear metamodels, namely kriging and radial basis function neural networks. The mean and variance of second-order Taylor series approximations of these metamodels are generated via the multivariate delta method and subsequent optimisation problems employing these approximations are solved. Results show that improved mean and variance prediction models, relative to the RSM approach, can be attained at a fraction of the emulator approach's cost.
机译:>鲁棒参数设计用于识别系统的控制设置,在获取所需的平均响应和最小化关于这些响应的可变性之间提供折衷。两个流行的组合阵列策略 - 响应面模型(RSM)方法和仿真器方法 - 当应用于模拟时受限。在前一个情况下,由于许多模拟中的高水平的非线性,平均值和方差模型可能不足。在后一种情况下,精确的平均值和方差近似是以广泛的蒙特卡罗采样的牺牲开发的。本文扩展了RSM方法来包括非线性元典,即Kriging和径向基函数神经网络。通过多元Δ方法产生二阶泰勒级近似的二阶泰勒级近似的平均值和方差,并解决了采用这些近似的随后的优化问题。结果表明,改进的平均值和方差预测模型相对于RSM方法可以在仿真器方法的成本的一小部分中获得。

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