Table 1 Main notations used in this paper
Symbols | Description |
|---|---|
\(N_{\rm p}\) | Number of participants |
\(N_{\rm s}\) | Number of sessions for each participant |
N | Number of ROIs |
T | Number of volumes (i.e., time points) in each session |
\({{\textbf{x}}}_{t} \in \mathbb {R}^N\) | fMRI signal at time t |
\(\overline{x}_t\) | Average of \(x_{t,i}\) over ROIs |
\(\sigma _{t}\) | Standard deviation of \(x_{t,i}\) over ROIs |
K | Number of discrete states |
\(\textbf{c}_{\ell } \in \mathbb {R}^N\) | Centroid of the \(\ell\)th cluster, where \(\ell \in \{1,2, \ldots , K\}\) |
\(L_t\) | Cluster label for \({\textbf{x}}_t; L_t \in \{1, 2, \ldots , K\}\) |