Figure 2
Model comparison experiments on synthetic periodic hypergraphs. (a) The bottom-left and top-right blocks in the dyadic adjacency matrix (\(\gamma _0 = 1\)) reveal a periodic clustered structure. (b) Similar periodic clustered pattern is shown in the triadic adjacency matrix (\(\gamma _0 = 1\)). (c) The periodic embedding achieves higher log-likelihoods than the linear embedding for different values of \(\gamma _0\). (d) Adjusted Rand Indices of K-means clustering based on the linear and periodic embedding are plotted against \(\gamma _0\). (e) Values in the heatmap indicate the maximum likelihoods of the periodic model \(\times 10^{-6}\) from Algorithm 3 and the maxima lie on the diagonal where \(c_3^* = c_3\). (f) Values represent the Adjusted Rand Indices of K-means clustering based on the periodic embedding for different values of \(c_3^*\) and \(c_3\).
