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

java.lang.Object
- elki.math.statistics.dependence.SlopeDependence

All Implemented Interfaces:

Dependence

Direct Known Subclasses:

SlopeInversionDependence
```
@Reference(authors="Elke Achtert, Hans-Peter Kriegel, Erich Schubert, Arthur Zimek",
           title="Interactive Data Mining with 3D-Parallel-Coordinate-Trees",
           booktitle="Proc. 2013 ACM Int. Conf. on Management of Data (SIGMOD 2013)",
           url="https://doi.org/10.1145/2463676.2463696",
           bibkey="DBLP:conf/sigmod/AchtertKSZ13")
public class SlopeDependence
extends java.lang.Object
implements Dependence
```
Arrange dimensions based on the entropy of the slope spectrum.
This version only accepts positive correlations, see also SlopeInversionDependence.
Reference:
Elke Achtert, Hans-Peter Kriegel, Erich Schubert, Arthur Zimek:
Interactive Data Mining with 3D-Parallel-Coordinate-Trees.
Proc. 2013 ACM Int. Conf. on Management of Data (SIGMOD 2013)
TODO: shouldn't this be normalized by the single-dimension entropies or so?

Since:

0.5.5

Author:

Erich Schubert, Robert Rödler

Nested Class Summary

Nested Classes
Modifier and Type Class Description

static class SlopeDependence.Par
Parameterization class.
- Nested classes/interfaces inherited from interface elki.math.statistics.dependence.Dependence
  Dependence.Utils

Field Summary

Fields
Modifier and Type	Field	Description
`protected static double`	`LOG_PRECISION`	Precision for entropy normalization.
`protected static int`	`PRECISION`	Full precision.
`protected static double`	`RESCALE`	Scaling factor.
`static SlopeDependence`	`STATIC`	Static instance.

Constructor Summary

Constructors
Modifier Constructor Description

protected SlopeDependence()
Constructor.

Method Summary

All Methods Instance Methods Concrete Methods
Modifier and Type	Method	Description
`<A,B> double`	`dependence(NumberArrayAdapter<?,A> adapter1, A data1, NumberArrayAdapter<?,B> adapter2, B data2)`	Measure the dependence of two variables.

Methods inherited from class java.lang.Object
clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Methods inherited from interface elki.math.statistics.dependence.Dependence
dependence, dependence, dependence

- Field Detail
  - STATIC
```
public static final SlopeDependence STATIC
```
    Static instance.
  - PRECISION
```
protected static final int PRECISION
```
    Full precision.
    
    See Also:
    
    Constant Field Values
  - LOG_PRECISION
```
protected static final double LOG_PRECISION
```
    Precision for entropy normalization.
  - RESCALE
```
protected static final double RESCALE
```
    Scaling factor.
    
    See Also:
    
    Constant Field Values
- Constructor Detail
  - SlopeDependence
```
protected SlopeDependence()
```
    Constructor. Use static instance instead!
- Method Detail
  - dependence
```
public <A,B> double dependence(NumberArrayAdapter<?,A> adapter1,
                                     A data1,
                                     NumberArrayAdapter<?,B> adapter2,
                                     B data2)
```
    Description copied from interface: Dependence
    
    Measure the dependence of two variables.
    This is the more flexible API, which allows using different internal data representations.
    
    Specified by:
    
    dependence in interface Dependence
    
    Type Parameters:
    
    A - First array type
    
    B - Second array type
    
    Parameters:
    
    adapter1 - First data adapter
    
    data1 - First data set
    
    adapter2 - Second data adapter
    
    data2 - Second data set
    
    Returns:
    
    Dependence measure