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java.lang.Object de.lmu.ifi.dbs.elki.utilities.scaling.outlier.SqrtStandardDeviationScaling
@Reference(authors="H.-P. Kriegel, P. Kr\u00f6ger, E. Schubert, A. Zimek", title="Interpreting and Unifying Outlier Scores", booktitle="Proc. 11th SIAM International Conference on Data Mining (SDM), Mesa, AZ, 2011", url="http://www.dbs.ifi.lmu.de/~zimek/publications/SDM2011/SDM11-outlier-preprint.pdf") public class SqrtStandardDeviationScaling
Scaling that can map arbitrary values to a probability in the range of [0:1].
Transformation is done using the formulas
y = sqrt(x - min)
newscore = max(0, erf(lambda * (y - mean) / (stddev * sqrt(2))))
Where min and mean can be fixed to a given value, and stddev is then computed
against this mean.
Nested Class Summary | |
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static class |
SqrtStandardDeviationScaling.Parameterizer
Parameterization class. |
Field Summary | |
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(package private) double |
factor
Scaling factor to use (usually: Lambda * Stddev * Sqrt(2)) |
protected Double |
lambda
Field storing the lambda value |
static OptionID |
LAMBDA_ID
Parameter to specify the lambda value Key: -sqrtstddevscale.lambda
|
(package private) Double |
mean
Mean to use |
static OptionID |
MEAN_ID
Parameter to specify a fixed mean to use. |
(package private) Double |
min
Min to use |
static OptionID |
MIN_ID
Parameter to specify the fixed minimum to use. |
Constructor Summary | |
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SqrtStandardDeviationScaling(Double min,
Double mean,
Double lambda)
Constructor. |
Method Summary | |
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double |
getMax()
Get maximum resulting value. |
double |
getMin()
Get minimum resulting value. |
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 java.lang.Object |
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clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait |
Field Detail |
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public static final OptionID MIN_ID
Key: -sqrtstddevscale.min
public static final OptionID MEAN_ID
Key: -sqrtstddevscale.mean
public static final OptionID LAMBDA_ID
Key: -sqrtstddevscale.lambda
protected Double lambda
Double min
Double mean
double factor
Constructor Detail |
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public SqrtStandardDeviationScaling(Double min, Double mean, Double lambda)
min
- mean
- lambda
- Method Detail |
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public double getScaled(double value)
ScalingFunction
getScaled
in interface ScalingFunction
value
- Original value
public void prepare(OutlierResult or)
OutlierScalingFunction
prepare
in interface OutlierScalingFunction
or
- Outlier result to usepublic double getMin()
ScalingFunction
Double.NaN
or
Double.NEGATIVE_INFINITY
.
getMin
in interface ScalingFunction
public double getMax()
ScalingFunction
Double.NaN
or
Double.POSITIVE_INFINITY
.
getMax
in interface ScalingFunction
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