Package elki.distance.minkowski

Class WeightedManhattanDistance

java.lang.Object

elki.distance.minkowski.LPNormDistance

elki.distance.minkowski.WeightedLPNormDistance

elki.distance.minkowski.WeightedManhattanDistance

All Implemented Interfaces:

Distance<NumberVector>, Norm<NumberVector>, NumberVectorDistance<NumberVector>, PrimitiveDistance<NumberVector>, SpatialPrimitiveDistance<NumberVector>, WeightedNumberVectorDistance<NumberVector>

public class WeightedManhattanDistance
extends WeightedLPNormDistance

Weighted version of the Manhattan (L₁) metric.

Weighted Manhattan distance is defined as: \[ \text{Manhattan}_{\vec{w}}(\vec{x},\vec{y}) := \sum_i w_i |x_i-y_i| \]

Since:

0.4.0

Author:

Erich Schubert

Nested Class Summary

Nested Classes

Modifier and Type	Class	Description
static class	WeightedManhattanDistance.Par	Parameterization class.

Field Summary

Fields inherited from class elki.distance.minkowski.WeightedLPNormDistance

weights

Fields inherited from class elki.distance.minkowski.LPNormDistance

invp, p

Fields inherited from interface elki.distance.WeightedNumberVectorDistance

WEIGHTS_ID

Constructor Summary

Constructors

Constructor	Description
WeightedManhattanDistance(double[] weights)	Constructor.

Method Summary

Modifier and Type	Method	Description
double	distance(NumberVector v1, NumberVector v2)	Computes the distance between two given DatabaseObjects according to this distance function.
double	minDist(SpatialComparable mbr1, SpatialComparable mbr2)	Computes the distance between the two given MBRs according to this distance function.
double	norm(NumberVector v)	Compute the norm of object obj.
private double	preDistance(NumberVector v1, NumberVector v2, int start, int end)
private double	preDistanceMBR(SpatialComparable mbr1, SpatialComparable mbr2, int start, int end)
private double	preDistanceVM(NumberVector v, SpatialComparable mbr, int start, int end)
private double	preNorm(NumberVector v, int start, int end)
private double	preNormMBR(SpatialComparable mbr, int start, int end)

Methods inherited from class elki.distance.minkowski.WeightedLPNormDistance

equals, getInputTypeRestriction, hashCode

Methods inherited from class elki.distance.minkowski.LPNormDistance

getInvP, getP, isMetric, toString

Methods inherited from class java.lang.Object

clone, finalize, getClass, notify, notifyAll, wait, wait, wait

Methods inherited from interface elki.distance.Distance

isMetric, isSquared, isSymmetric

Methods inherited from interface elki.distance.SpatialPrimitiveDistance

instantiate

Constructor Detail

WeightedManhattanDistance

public WeightedManhattanDistance(double[] weights)

Constructor.

Parameters:

weights - Weight vector

Method Detail

preDistance

private double preDistance(NumberVector v1,
                           NumberVector v2,
                           int start,
                           int end)

preDistanceVM

private double preDistanceVM(NumberVector v,
                             SpatialComparable mbr,
                             int start,
                             int end)

preDistanceMBR

private double preDistanceMBR(SpatialComparable mbr1,
                              SpatialComparable mbr2,
                              int start,
                              int end)

preNorm

private double preNorm(NumberVector v,
                       int start,
                       int end)

preNormMBR

private double preNormMBR(SpatialComparable mbr,
                          int start,
                          int end)

distance

public double distance(NumberVector v1,
                       NumberVector v2)

Description copied from interface: PrimitiveDistance

Computes the distance between two given DatabaseObjects according to this distance function.

Specified by:

distance in interface NumberVectorDistance<NumberVector>

Specified by:

distance in interface PrimitiveDistance<NumberVector>

Overrides:

distance in class WeightedLPNormDistance

Parameters:

v1 - first DatabaseObject

v2 - second DatabaseObject

Returns:

the distance between two given DatabaseObjects according to this distance function

norm

public double norm(NumberVector v)

Description copied from interface: Norm

Compute the norm of object obj.

Specified by:

norm in interface Norm<NumberVector>

Overrides:

norm in class WeightedLPNormDistance

Parameters:

v - Object

Returns:

Norm

minDist

public double minDist(SpatialComparable mbr1,
                      SpatialComparable mbr2)

Description copied from interface: SpatialPrimitiveDistance

Computes the distance between the two given MBRs according to this distance function.

Specified by:

minDist in interface SpatialPrimitiveDistance<NumberVector>

Overrides:

minDist in class WeightedLPNormDistance

Parameters:

mbr1 - the first MBR object

mbr2 - the second MBR object

Returns:

the distance between the two given MBRs according to this distance function