Research Article

Self-Adaptive -Means Based on a Covering Algorithm

Table 1

Mathematical notations.

SymbolExplanation

Denotes a set of points in the -dimensional Euclidean space
Denotes that there are data points in dataset
Denotes a positive integer specifying the number of clusters
Denotes the set of cluster centers
Denotes the Euclidean distance between and
Denotes that is a subset of
Denotes the minimum Euclidean distance between and set
centroid(Y)Denotes the centroid of set
Denotes the minimum Euclidean distance between and in set
Denotes the cost of with respect to
Denotes the sum of the squares of the minimum Euclidean distance between in set and set
Denotes the sum of the minimum Euclidean distances between in set and set
Denotes the cost of optimal clustering algorithms
Denotes the standard deviation vector of a cluster