Fig. 6
From: GraphKKE: graph Kernel Koopman embedding for human microbiome analysis

An illustration of the embedded time-series data, where \(\varphi ({\mathbb {G}}) = \sum _{i=0}^4 c_i\varphi _i({\mathbb {G}})\) and \(\varphi _i({\mathbb {G}})\) are dominant eigenfunctions of the Koopman operator approximated by graphKKE. There are 5 distinct level sets corresponding to the 5 metastable states