Linkage Class

Class Linkage provides functions for computing the distance between clusters of objects.

Inheritance Hierarchy

SystemObject
CenterSpace.NMath.CoreLinkage

Namespace: CenterSpace.NMath.Core
Assembly: NMath (in NMath.dll) Version: 7.4

Syntax

C++

Copy

public class Linkage

Public Class Linkage

public ref class Linkage

type Linkage = class end

The Linkage type exposes the following members.

Constructors

	Name	Description
	Linkage	Initializes a new instance of the Linkage class

Top

Methods

	Name	Description
	CentroidLinkage	Computes the distance between two clusters as the difference between centroids.
	CompleteLinkage	Computes the distance between two clusters as the greatest distance between any two objects in the different clusters (furthest neighbors).
	MedianLinkage	Computes the distance between two clusters as the difference between centroids, using the size of each cluster as a weighting factor.
	SingleLinkage	Computes the distance between two clusters as the distance of the two closest objects (nearest neighbors) in the clusters.
	UnweightedAverageLinkage	Computes the distance between two clusters as the average distance between all pairs of objects in the two different clusters.
	WardLinkage	Computes the distance between two clusters using Ward's method.
	WeightedAverageLinkage	Computes the distance between two clusters as the average distance between all pairs of objects in the two different clusters, using the size of each cluster as a weighting factor.

Top

Fields

	Name	Description
	CentroidFunction	Centroid linkage function. Encapsulates Linkage.CentroidLinkage as a Linkage.Function delegate.
	CompleteFunction	Complete (farthest-neighbor) linkage function. Encapsulates Linkage.CompleteLinkage as a Linkage.Function delegate.
	MedianFunction	Median linkage function. Encapsulates Linkage.MedianLinkage as a Linkage.Function delegate.
	SingleFunction	Single (nearest-neighbor) linkage function. Encapsulates Linkage.SingleLinkage as a Linkage.Function delegate.
	UnweightedAverageFunction	Unweighted average linkage function. Encapsulates Linkage.UnweightedAverageLinkage as a Linkage.Function delegate.
	WardFunction	Ward linkage function. Encapsulates Linkage.WardLinkage as a Linkage.Function delegate.
	WeightedAverageFunction	Weighted average linkage function. Encapsulates Linkage.WeightedAverageLinkage as a Linkage.Function delegate.

Top

Remarks

Instances of delegate type Linkage.Function are used by class ClusterAnalysis to compute the distance between clusters of objects. Delegates are provided as static variables for single, complete, unweighted average, weighted average, centroid, median, and Ward's linkage functions.

Reference

CenterSpace.NMath.Core Namespace