Fig. 5.

Results of local inference for the multivariate Gaussian data with HRF. a Local fitting with different models (from $K$ = 3 to 18) for synthetic data (SNR = 5 dB) with HRF. Different colors represent the PPDI values of different states with the true number of communities $K^{true}$. b The estimation of community constituents for the data with HRF at each discrete state, the centres of the state window are $t$ = 44, 74, 98, 130, 154 for brain states 1 to 5, respectively. The estimations of the latent label vectors (Estimation) and the label vectors (True) that determine the covariance matrix in the generative model are shown as colored bars. The strength and variation of the connectivity within and between communities are represented by the block mean and variance matrices within each panel.