Random Cluster Generation (with Specified Degree of Separation)
Generate An Orthogonal Matrix
GENERATE A POSITIVE DEFINITE MATRIX/COVARIANCE MATRIX
RANDOM CLUSTER GENERATION WITH SPECIFIED DEGREE OF SEPARATION
OPTIMAL PROJECTION DIRECTION AND CORRESPONDING SEPARATION INDEX FOR PA...
SEPARATON INFORMATION MATRIX
PLOT A PAIR OF CLUSTERS AND THEIR DENSITY ESTIMATES, WHICH ARE PROJECT...
PLOT A PAIR OF CLUSTERS ALONG A 2-D PROJECTION SPACE
GENERATE A RANDOM CORRELATION MATRIX BASED ON RANDOM PARTIAL CORRELATI...
MEASURE THE MAGNITUDE OF THE GAP OR SPARSE AREA BETWEEN A PAIR OF CLUS...
DESIGN FOR RANDOM CLUSTER GENERATION WITH SPECIFIED DEGREE OF SEPARATI...
PLOT ALL CLUSTERS IN A 2-D PROJECTION SPACE
We developed the clusterGeneration package to provide functions for generating random clusters, generating random covariance/correlation matrices, calculating a separation index (data and population version) for pairs of clusters or cluster distributions, and 1-D and 2-D projection plots to visualize clusters. The package also contains a function to generate random clusters based on factorial designs with factors such as degree of separation, number of clusters, number of variables, number of noisy variables.