Fuzzy -Means and Cluster Ensemble with Random Projection for Big Data Clustering

Algorithm 2

FCM clustering with random projection.

Input: data set (an matrix), number of clusters , fuzzy constant , FCM clustering algorithm;

Output: partition matrix , centers of clusters .

() sample a    random projection meeting the requirements of Lemma 2;

() compute the product ;

() run FCM algorithm on , get the partition matrix ;

() compute the centers of clusters through original data and .