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Improved uniform sampling in constrained domains for data-driven modelling of antennas

机译:改进的受约束域中的均匀采样,用于天线的数据驱动建模

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摘要

Data-driven surrogate modelling of antenna structures is an attractive way of accelerating the design process, in particular, parametric optimization. In practice, construction of surrogates is hindered by curse of dimensionality as well as wide ranges of geometry parameters that need to be covered in order to make the model useful. These difficulties can be alleviated by constrained performance-driven modelling with the surrogate domain spanned by a set of reference designs optimized with respect to selected figures of interest. Unfortunately, uniform training data allocation in such constrained domains is a nontrivial task. This paper proposes a new design of experiments technique which ensures sampling uniformity. Our approach is based on uniform sampling on the domain-spanning manifold and linear transformation of the remaining sample vector components onto orthogonal directions (w.r.t. the manifold). The proposed procedure is demonstrated using two antenna examples and shown to ensure considerable improvement of the surrogate model accuracy as compared to rudimentary random sampling. Application examples are also provided.
机译:天线结构的数据驱动代理建模是加速设计过程(尤其是参数优化)的一种有吸引力的方式。在实践中,代用物的构造受到尺寸诅咒以及几何模型参数的广泛限制,而这些几何参数必须覆盖才能使模型有用。可以通过约束性能驱动的建模来缓解这些困难,其中替代域由针对所选感兴趣的图形进行优化的一组参考设计跨越。不幸的是,在这样的受限域中进行统一的训练数据分配是一项艰巨的任务。本文提出了一种确保采样均匀性的实验技术的新设计。我们的方法基于对跨域歧管的均匀采样以及将剩余样本矢量分量线性转换到正交方向(w.r.t.歧管)上。使用两个天线示例演示了所建议的过程,并表明与原始随机抽样相比,该模型可确保代理模型准确性的显着提高。还提供了应用示例。

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