de.lmu.ifi.dbs.elki.utilities.scaling.outlier

Class MinusLogStandardDeviationScaling

java.lang.Object

de.lmu.ifi.dbs.elki.utilities.scaling.outlier.StandardDeviationScaling

de.lmu.ifi.dbs.elki.utilities.scaling.outlier.MinusLogStandardDeviationScaling

All Implemented Interfaces:

OutlierScaling, ScalingFunction

@Reference(authors="Hans-Peter Kriegel, Peer Kr\u00f6ger, Erich Schubert, Arthur Zimek",
           title="Interpreting and Unifying Outlier Scores",
           booktitle="Proc. 11th SIAM International Conference on Data Mining (SDM 2011)",
           url="https://doi.org/10.1137/1.9781611972818.2",
           bibkey="DBLP:conf/sdm/KriegelKSZ11")
public class MinusLogStandardDeviationScaling
extends StandardDeviationScaling

Scaling that can map arbitrary values to a probability in the range of [0:1].

Transformation is done using the formula \(\max\{0, \mathrm{erf}(\lambda \frac{x-\mu}{\sigma\sqrt{2}})\}\)

Where mean can be fixed to a given value, and stddev is then computed against this mean.

Reference:

Hans-Peter Kriegel, Peer Kröger, Erich Schubert, Arthur Zimek
Interpreting and Unifying Outlier Scores
Proc. 11th SIAM International Conference on Data Mining (SDM 2011)

Since:

0.3

Author:

Erich Schubert

Nested Class Summary

Nested Classes

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

Field Summary

Fields inherited from class de.lmu.ifi.dbs.elki.utilities.scaling.outlier.StandardDeviationScaling

factor, fixedmean, lambda, mean

Constructor Summary

Constructors

Constructor and Description
MinusLogStandardDeviationScaling(double fixedmean, double lambda) Constructor.

Method Summary

Modifier and Type	Method and Description
double	getScaled(double value) Transform a given value using the scaling function.
void	prepare(OutlierResult or) Prepare is called once for each data set, before getScaled() will be called.

Methods inherited from class de.lmu.ifi.dbs.elki.utilities.scaling.outlier.StandardDeviationScaling

getMax, getMin, prepare

Methods inherited from class java.lang.Object

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

Constructor Detail

MinusLogStandardDeviationScaling

public MinusLogStandardDeviationScaling(double fixedmean,
                                        double lambda)

Constructor.

Parameters:

fixedmean - Fixed mean

lambda - Scaling factor lambda

Method Detail

getScaled

public double getScaled(double value)

Description copied from interface: ScalingFunction

Transform a given value using the scaling function.

Specified by:

getScaled in interface ScalingFunction

Overrides:

getScaled in class StandardDeviationScaling

Parameters:

value - Original value

Returns:

Scaled value

prepare

public void prepare(OutlierResult or)

Description copied from interface: OutlierScaling

Prepare is called once for each data set, before getScaled() will be called. This function can be used to extract global parameters such as means, minimums or maximums from the outlier scores.

Specified by:

prepare in interface OutlierScaling

Overrides:

prepare in class StandardDeviationScaling

Parameters:

or - Outlier result to use