Fig. 4From: Bayesian compositional regression with microbiome features via variational inferencePlot of the marginal expectation of the approximating posterior \({\mathbb {E}}_q[p({\varvec{\xi }}|\textbf{y})]\) at the phylum level. The grey denotes a positive \(\theta _j\), black a negative \(\theta _j\). The bars above the 0.5 probability of inclusion (red dashed line) are Firmicutes and Synergistetes respectivelyBack to article page