This article is a discussion of Zanella and Roberts' paper: Multilevel linear models, gibbs samplers and multigrid decompositions. We consider several extensions in which the multigrid decomposition would bring us interesting insights, including vector hierarchical models, linear mixed effects models and partial centering parametrizations.

翻译：本文讨论Zanella 和 Roberts 的论文: 多级线性模型、 gibbs 采样器和多格分解。 我们考虑一些扩展,其中多格分解会给我们带来有趣的洞察力,包括矢量级模型、线性混合效应模型和部分半中枢等。