Before revision:  We perform unsupervised clustering with Gaussian Mixture Model method on this dataset , and we find the cluster center found under a two-cluster restriction is close to the party centers, which are estimated using the mean position of the individuals self-identified with the parties .
After revision:  We perform unsupervised clustering with Gaussian Mixture Model method on this dataset . When clustered into two clusters, we find a large centrist cluster and a small right-wing cluster. The Democratic Party's position ( estimated using the mean position of the individuals self-identified with the parties .