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

Class SparseMaximumDistanceFunction

java.lang.Object

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

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

All Implemented Interfaces:

DistanceFunction<SparseNumberVector>, Norm<SparseNumberVector>, PrimitiveDistanceFunction<SparseNumberVector>

@Alias(value="de.lmu.ifi.dbs.elki.distance.distancefunction.SparseMaximumDistanceFunction")
public class SparseMaximumDistanceFunction
extends SparseLPNormDistanceFunction

Maximum distance, optimized for SparseNumberVectors. The maximum distance is defined as: \[ \text{Maximum}(\vec{x},\vec{y}) := \max_i |x_i-y_i| \] and can be seen as limiting case of the LPNormDistanceFunction for \( p \rightarrow \infty \).

Since:

0.5.0

Author:

Erich Schubert

Nested Class Summary

Nested Classes

Modifier and Type	Class and Description
static class	SparseMaximumDistanceFunction.Parameterizer Parameterizer

Field Summary

Fields

Modifier and Type	Field and Description
static SparseMaximumDistanceFunction	STATIC Static instance

Constructor Summary

Constructors

Constructor and Description
SparseMaximumDistanceFunction() Deprecated. Use static instance

Method Summary

Modifier and Type	Method and Description
double	distance(SparseNumberVector v1, SparseNumberVector v2) Computes the distance between two given DatabaseObjects according to this distance function.
double	norm(SparseNumberVector v1) Compute the norm of object obj.

Methods inherited from class de.lmu.ifi.dbs.elki.distance.distancefunction.minkowski.SparseLPNormDistanceFunction

getInputTypeRestriction, isMetric

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, 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

isSquared, isSymmetric

Field Detail

STATIC

public static final SparseMaximumDistanceFunction STATIC

Static instance

Constructor Detail

SparseMaximumDistanceFunction

@Deprecated
public SparseMaximumDistanceFunction()

Deprecated. Use static instance

Constructor - use STATIC instead.

Method Detail

distance

public double distance(SparseNumberVector v1,
                       SparseNumberVector v2)

Description copied from interface: PrimitiveDistanceFunction

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

Specified by:

distance in interface PrimitiveDistanceFunction<SparseNumberVector>

Overrides:

distance in class SparseLPNormDistanceFunction

Parameters:

v1 - first DatabaseObject

v2 - second DatabaseObject

Returns:

the distance between two given DatabaseObjects according to this distance function

norm

public double norm(SparseNumberVector v1)

Description copied from interface: Norm

Compute the norm of object obj.

Specified by:

norm in interface Norm<SparseNumberVector>

Overrides:

norm in class SparseLPNormDistanceFunction

Parameters:

v1 - Object

Returns:

Norm