平衡格设计的优化框架
Majorization framework for balanced lattice designs
摘要：
本文旨在推广和统一平衡格点设计（包括部分因子设计、过饱和设计和均匀设计）的经典比较准则。我们提出了一个一般的优化框架评估设计，其中包括严格的优化标准，通过成对的巧合和灵活的替代品，通过凸函数。通过选择组合核和指数核，统一了经典的正交性、像差性和均匀性准则。并给出了施工方法。
英文摘要：
This paper aims to generalize and unify classical criteria for comparisons of balanced lattice designs, including fractional factorial designs, supersaturated designs and uniform designs. We present a general majorization framework for assessing designs, which includes a stringent criterion of majorization via pairwise coincidences and flexible surrogates via convex functions. Classical orthogonality, aberration and uniformity criteria are unified by choosing combinatorial and exponential kernels. A construction method is also sketched out.
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