de.lmu.ifi.dbs.elki.distance.distancefunction.minkowski

Class WeightedLPNormDistanceFunction

java.lang.Object

de.lmu.ifi.dbs.elki.distance.distancefunction.minkowski.LPNormDistanceFunction

de.lmu.ifi.dbs.elki.distance.distancefunction.minkowski.WeightedLPNormDistanceFunction

All Implemented Interfaces:

DistanceFunction<NumberVector>, Norm<NumberVector>, NumberVectorDistanceFunction<NumberVector>, PrimitiveDistanceFunction<NumberVector>, SpatialPrimitiveDistanceFunction<NumberVector>, WeightedNumberVectorDistanceFunction<NumberVector>

Direct Known Subclasses:

WeightedEuclideanDistanceFunction, WeightedManhattanDistanceFunction, WeightedMaximumDistanceFunction

@Alias(value="de.lmu.ifi.dbs.elki.distance.distancefunction.WeightedLPNormDistanceFunction")
public class WeightedLPNormDistanceFunction
extends LPNormDistanceFunction
implements WeightedNumberVectorDistanceFunction<NumberVector>

Weighted version of the Minkowski L_p norm distance for NumberVector.

Weighted L_p Norms are defined as: \[ L_{p,\vec{w}}(\vec{x},\vec{y}) := \left(\sum\nolimits_i w_i |x_i-y_i|^p\right)^{1/p} \]

Since:

0.4.0

Author:

Erich Schubert

Nested Class Summary

Nested Classes

Modifier and Type	Class and Description
static class	WeightedLPNormDistanceFunction.Parameterizer Parameterization class.

Field Summary

Fields

Modifier and Type	Field and Description
protected double[]	weights Weight array

Fields inherited from class de.lmu.ifi.dbs.elki.distance.distancefunction.minkowski.LPNormDistanceFunction

invp, p

Fields inherited from interface de.lmu.ifi.dbs.elki.distance.distancefunction.WeightedNumberVectorDistanceFunction

WEIGHTS_ID

Constructor Summary

Constructors

Constructor and Description
WeightedLPNormDistanceFunction(double p, double[] weights) Constructor.

Method Summary

Modifier and Type	Method and Description
double	distance(NumberVector v1, NumberVector v2) Computes the distance between two given DatabaseObjects according to this distance function.
boolean	equals(java.lang.Object obj)
SimpleTypeInformation<? super NumberVector>	getInputTypeRestriction() Get the input data type of the function.
int	hashCode()
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 de.lmu.ifi.dbs.elki.distance.distancefunction.minkowski.LPNormDistanceFunction

getP, isMetric, toString

Methods inherited from class java.lang.Object

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

Methods inherited from interface de.lmu.ifi.dbs.elki.distance.distancefunction.PrimitiveDistanceFunction

instantiate

Methods inherited from interface de.lmu.ifi.dbs.elki.distance.distancefunction.DistanceFunction

isMetric, isSquared, isSymmetric

Methods inherited from interface de.lmu.ifi.dbs.elki.distance.distancefunction.SpatialPrimitiveDistanceFunction

instantiate

Field Detail

weights

protected double[] weights

Weight array

Constructor Detail

WeightedLPNormDistanceFunction

public WeightedLPNormDistanceFunction(double p,
                                      double[] weights)

Constructor.

Parameters:

p - p value

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: PrimitiveDistanceFunction

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

Specified by:

distance in interface NumberVectorDistanceFunction<NumberVector>

Specified by:

distance in interface PrimitiveDistanceFunction<NumberVector>

Overrides:

distance in class LPNormDistanceFunction

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 LPNormDistanceFunction

Parameters:

v - Object

Returns:

Norm

minDist

public double minDist(SpatialComparable mbr1,
                      SpatialComparable mbr2)

Description copied from interface: SpatialPrimitiveDistanceFunction

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

Specified by:

minDist in interface SpatialPrimitiveDistanceFunction<NumberVector>

Overrides:

minDist in class LPNormDistanceFunction

Parameters:

mbr1 - the first MBR object

mbr2 - the second MBR object

Returns:

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

equals

public boolean equals(java.lang.Object obj)

Overrides:

equals in class LPNormDistanceFunction

hashCode

public int hashCode()

Overrides:

hashCode in class LPNormDistanceFunction

getInputTypeRestriction

public SimpleTypeInformation<? super NumberVector> getInputTypeRestriction()

Description copied from interface: DistanceFunction

Get the input data type of the function.

Specified by:

getInputTypeRestriction in interface DistanceFunction<NumberVector>

Specified by:

getInputTypeRestriction in interface PrimitiveDistanceFunction<NumberVector>

Overrides:

getInputTypeRestriction in class LPNormDistanceFunction

Returns:

Type restriction