SMACOF

Full name Microsoft.VisualBasic.Math.LinearAlgebra.Matrix.MDSScale.SMACOF Assembly Microsoft.VisualBasic.Math.Core Members 13

A class implementing Stress Minimization by Majorizing a Complex Function (SMACOF).

Created by IntelliJ IDEA. User: da Date: 10/8/11 Time: 2:43 AM

01 Syntax

Microsoft.VisualBasic.Math.LinearAlgebra.Matrix.MDSScale.SMACOF

02 Methods

Name	Overloads	Summary
.ctor	2	Construct a new SMACOF instance.
iterate	2	Perform majorization iterations until the maximum number of iterations is reached, the maximum runtime has elapsed, or the change in normalized stress falls below the threshold,…
majorize	3	SMACOF algorithm (weighted).
stress	2	Compute the absolute stress between a weighted distance matrix and a configuration of coordinates.
normalizedStress	2	Compute the normlized stress between a weighted distance matrix and a configuration of coordinates.

03 Properties

Name	Overloads	Summary
StressProp	1	Compute the absolute stress for this SMACOF instance.
NormalizedStressProp	1	Compute the normalized stress for this SMACOF instance.

04 Members

method .ctor #

#ctor(Double()(), Double()(), Double()())

Construct a new SMACOF instance.

Parameters

Name	Type	Description
`d`	`Double()()`	distance matrix
`x`	`Double()()`	initial coordinate matrix
`w`	`Double()()`	weights matrix

method .ctor overload 2 #

#ctor(Double()(), Double()())

Construct a SMACOF instance without weights.

Parameters

Name	Type	Description
`d`	`Double()()`	distance matrix
`x`	`Double()()`	initial coordinate matrix

method iterate overload 2 #

iterate(Int32)

Perform n majorization iterations using this SMACOF instance.

Parameters

Name	Type	Description
`n`	`Int32`	number of iterations

Returns

report

method iterate #

iterate(Int32, Int32)

Perform majorization iterations until the maximum number of iterations is reached, the maximum runtime has elapsed, or the change in normalized stress falls below the threshold, whichever comes first.

Parameters

Name	Type	Description
`iter`	`Int32`	maximum number of iterations
`threshold`	`Int32`	threshold for change in normalized stress

Returns

report

method majorize #

majorize(Double()(), Double()(), Double()(), Int32, Int32)

SMACOF algorithm (weighted).

Parameters

Name	Type	Description
`x`	`Double()()`	coordinates matrix
`d`	`Double()()`	distance matrix
`w`	`Double()()`	weights matrix
`iter`	`Int32`	maximum iterations
`threshold`	`Int32`	halting threshold for change in normalized stress

Returns

report

method majorize overload 3 #

majorize(Double()(), Double()(), Int32, Int32)

SMACOF algorithm (unweighted).

Parameters

Name	Type	Description
`x`	`Double()()`	coordinates matrix
`d`	`Double()()`	distance matrix
`iter`	`Int32`	maximum iterations
`threshold`	`Int32`	halting threshold for change in normalized stress

Returns

report

method majorize overload 2 #

majorize(Double()(), Double()(), Double()(), Int32)

Bare SMACOF algorithm. Convenient for reading the algorithm.

Parameters

Name	Type	Description
`x`	`Double()()`	coordinates matrix
`d`	`Double()()`	distance matrix
`w`	`Double()()`	weights matrix
`iter`	`Int32`	number of iterations

method stress #

stress(Double()(), Double()(), Double()())

Compute the absolute stress between a weighted distance matrix and a configuration of coordinates.

Parameters

Name	Type	Description
`d`	`Double()()`	distance matrix
`w`	`Double()()`	weights matrix
`x`	`Double()()`	coordinates matrix

Returns

stress

method stress overload 2 #

stress(Double()(), Double()())

Compute the absolute stress between a distance matrix and a configuration of coordinates.

Parameters

Name	Type	Description
`d`	`Double()()`	distance matrix
`x`	`Double()()`	coordinates matrix

Returns

stress

method normalizedStress #

normalizedStress(Double()(), Double()(), Double()())

Compute the normlized stress between a weighted distance matrix and a configuration of coordinates.

Parameters

Name	Type	Description
`d`	`Double()()`	distance matrix
`w`	`Double()()`	weights matrix
`x`	`Double()()`	coordinate matrix

Returns

normalized stress

method normalizedStress overload 2 #

normalizedStress(Double()(), Double()())

Return the normlized stress between a distance matrix and a configuration of coordinates.

Parameters

Name	Type	Description
`d`	`Double()()`	distance matrix
`x`	`Double()()`	coordinate matrix

Returns

normalized stress

property StressProp #

StressProp

Compute the absolute stress for this SMACOF instance.

Returns

stress

property NormalizedStressProp #

NormalizedStressProp

Compute the normalized stress for this SMACOF instance.

Returns

normalized stress