Normalization (ELKI: Environment for DeveLoping KDD-Applications Supported by Index-Structures)

Type Parameters:

O - object type

All Superinterfaces:

ObjectFilter

All Known Implementing Classes:

AttributeWiseBetaNormalization, AttributeWiseCDFNormalization, AttributeWiseMADNormalization, AttributeWiseMeanNormalization, AttributeWiseMinMaxNormalization, AttributeWiseVarianceNormalization, HellingerHistogramNormalization, InstanceLogRankNormalization, InstanceMeanVarianceNormalization, InstanceMinMaxNormalization, InstanceRankNormalization, InverseDocumentFrequencyNormalization, LengthNormalization, Log1PlusNormalization
```
public interface Normalization<O>
extends ObjectFilter
```
Normalization performs a normalization on a set of feature vectors and is capable to transform a set of feature vectors to the original attribute ranges. It can also transform a matrix describing an equation system of linear dependencies derived on the normalized space to describe linear dependencies quantitatively adapted to the original space.

Since:

0.4.0

Author:

Arthur Zimek

Method Summary

All Methods Instance Methods Default Methods
Modifier and Type	Method	Description
`default O`	`restore(O featureVector)`	Transforms a feature vector to the original attribute ranges.
`default LinearEquationSystem`	`transform(LinearEquationSystem linearEquationSystem)`	Transforms a linear equation system describing linear dependencies derived on the normalized space into a linear equation system describing linear dependencies quantitatively adapted to the original space.

Methods inherited from interface elki.datasource.filter.ObjectFilter
filter

- Method Detail
  - restore
```
default O restore(O featureVector)
           throws NonNumericFeaturesException
```
    Transforms a feature vector to the original attribute ranges.
    
    Parameters:
    
    featureVector - a feature vector to be transformed into original space
    
    Returns:
    
    a feature vector transformed into original space corresponding to the given feature vector
    
    Throws:
    
    NonNumericFeaturesException - feature vector is not compatible with values initialized during normalization
  - transform
```
default LinearEquationSystem transform(LinearEquationSystem linearEquationSystem)
                                throws NonNumericFeaturesException
```
    Transforms a linear equation system describing linear dependencies derived on the normalized space into a linear equation system describing linear dependencies quantitatively adapted to the original space.
    
    Parameters:
    
    linearEquationSystem - the linear equation system to be transformed
    
    Returns:
    
    a linear equation system describing linear dependencies derived on the normalized space transformed into a linear equation system describing linear dependencies quantitatively adapted to the original space
    
    Throws:
    
    NonNumericFeaturesException - if specified linear equation system is not compatible with values initialized during normalization