Compute cluster membership probabilities from PSM

For each observation, computes the probability of membership in each cluster defined by the representative clustering, derived from the posterior similarity matrix.

Usage

.compute_cluster_probs(z_matrix, labels_representative, PSM)

Arguments

z_matrix

Integer matrix (iterations x N) of cluster assignments.

labels_representative

Integer vector of representative cluster labels.

PSM

Posterior similarity matrix (N x N).

Value

N x K matrix of cluster membership probabilities.

Details

The representative labels define a reference partition with clusters \(C_1, \dots, C_K\). For each observation \(i\), this helper averages the posterior similarity scores \(\mathrm{PSM}_{ij}\) over members \(j \in C_k\) to obtain a cluster-membership score for cluster \(k\), and then normalizes those scores to sum to one across clusters.