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## weka.classifiers
Class BVDecomposeSegCVSub

    java.lang.Object
      weka.classifiers.BVDecomposeSegCVSub

All Implemented Interfaces:
  OptionHandler, RevisionHandler, TechnicalInformationHandler

    public class BVDecomposeSegCVSub

extends java.lang.Object
implements OptionHandler, TechnicalInformationHandler, RevisionHandler

This class performs Bias-Variance decomposion on any classifier using the sub-sampled cross-validation procedure as specified in (1).
The Kohavi and Wolpert definition of bias and variance is specified in (2).
The Webb definition of bias and variance is specified in (3).
Geoffrey I. Webb, Paul Conilione (2002). Estimating bias and variance from data. School of Computer Science and Software Engineering, Victoria, Australia.
Ron Kohavi, David H. Wolpert: Bias Plus Variance Decomposition for Zero-One Loss Functions. In: Machine Learning: Proceedings of the Thirteenth International Conference, 275-283, 1996.
Geoffrey I. Webb (2000). MultiBoosting: A Technique for Combining Boosting and Wagging. Machine Learning. 40(2):159-196.

BibTeX:

     @misc{Webb2002,
        address = {School of Computer Science and Software Engineering, Victoria, Australia},
        author = {Geoffrey I. Webb and Paul Conilione},
        institution = {Monash University},
        title = {Estimating bias and variance from data},
        year = {2002},
        PDF = {http://www.csse.monash.edu.au/\~webb/Files/WebbConilione04.pdf}
     }

     @inproceedings{Kohavi1996,
        author = {Ron Kohavi and David H. Wolpert},
        booktitle = {Machine Learning: Proceedings of the Thirteenth International Conference},
        editor = {Lorenza Saitta},
        pages = {275-283},
        publisher = {Morgan Kaufmann},
        title = {Bias Plus Variance Decomposition for Zero-One Loss Functions},
        year = {1996},
        PS = {http://robotics.stanford.edu/\~ronnyk/biasVar.ps}
     }

     @article{Webb2000,
        author = {Geoffrey I. Webb},
        journal = {Machine Learning},
        number = {2},
        pages = {159-196},
        title = {MultiBoosting: A Technique for Combining Boosting and Wagging},
        volume = {40},
        year = {2000}
     }

Valid options are:

     -c <class index>
      The index of the class attribute.
      (default last)

     -D
      Turn on debugging output.

     -l <num>
      The number of times each instance is classified.
      (default 10)

     -p <proportion of objects in common>
      The average proportion of instances common between any two training sets

     -s <seed>
      The random number seed used.

     -t <name of arff file>
      The name of the arff file used for the decomposition.

     -T <number of instances in training set>
      The number of instances in the training set.

     -W <classifier class name>
      Full class name of the learner used in the decomposition.
      eg: weka.classifiers.bayes.NaiveBayes

     Options specific to learner weka.classifiers.rules.ZeroR:

     -D
      If set, classifier is run in debug mode and
      may output additional info to the console

Options after -- are passed to the designated sub-learner.

Version:
  $Revision: 1.7 $
Author:
  Paul Conilione (paulc4321@yahoo.com.au)

Constructor Summary
`BVDecomposeSegCVSub()`

Method Summary
`void` | `decompose()` Carry out the bias-variance decomposition using the sub-sampled cross-validation method.
`java.util.Vector` | `findCentralTendencies(double[] predProbs)` Finds the central tendency, given the classifications for an instance.
`Classifier` | `getClassifier()` Gets the name of the classifier being analysed
`int` | `getClassifyIterations()` Gets the number of times an instance is classified
`int` | `getClassIndex()` Get the index (starting from 1) of the attribute used as the class.
`java.lang.String` | `getDataFileName()` Get the name of the data file used for the decomposition
`boolean` | `getDebug()` Gets whether debugging is turned on
`double` | `getError()` Get the calculated error rate
`double` | `getKWBias()` Get the calculated bias squared according to the Kohavi and Wolpert definition
`double` | `getKWSigma()` Get the calculated sigma according to the Kohavi and Wolpert definition
`double` | `getKWVariance()` Get the calculated variance according to the Kohavi and Wolpert definition
`java.lang.String[]` | `getOptions()` Gets the current settings of the CheckClassifier.
`double` | `getP()` Get the proportion of instances that are common between two training sets.
`java.lang.String` | `getRevision()` Returns the revision string.
`int` | `getSeed()` Gets the random number seed
`TechnicalInformation` | `getTechnicalInformation()` Returns an instance of a TechnicalInformation object, containing detailed information about the technical background of this class, e.g., paper reference or book this class is based on.
`int` | `getTrainSize()` Get the training size
`double` | `getWBias()` Get the calculated bias according to the Webb definition
`double` | `getWVariance()` Get the calculated variance according to the Webb definition
`java.lang.String` | `globalInfo()` Returns a string describing this object
`java.util.Enumeration` | `listOptions()` Returns an enumeration describing the available options.
`static void` | `main(java.lang.String[] args)` Test method for this class
`void` | `randomize(int[] index, java.util.Random random)` Accepts an array of ints and randomises the values in the array, using the random seed.
`void` | `setClassifier(Classifier newClassifier)` Set the classifiers being analysed
`void` | `setClassifyIterations(int classifyIterations)` Sets the number of times an instance is classified
`void` | `setClassIndex(int classIndex)` Sets index of attribute to discretize on
`void` | `setDataFileName(java.lang.String dataFileName)` Sets the name of the dataset file.
`void` | `setDebug(boolean debug)` Sets debugging mode
`void` | `setOptions(java.lang.String[] options)` Sets the OptionHandler's options using the given list.
`void` | `setP(double proportion)` Set the proportion of instances that are common between two training sets used to train a classifier.
`void` | `setSeed(int seed)` Sets the random number seed
`void` | `setTrainSize(int size)` Set the training size.
`java.lang.String` | `toString()` Returns description of the bias-variance decomposition results.

Methods inherited from class java.lang.Object
`equals, getClass, hashCode, notify, notifyAll, wait, wait, wait`

Constructor Detail

### BVDecomposeSegCVSub

    public BVDecomposeSegCVSub()

Method Detail

### globalInfo

    public java.lang.String globalInfo()

  Returns a string describing this object

  Returns:
    a description of the classifier suitable for displaying in the explorer/experimenter gui

### getTechnicalInformation

    public TechnicalInformation getTechnicalInformation()

  Returns an instance of a TechnicalInformation object, containing detailed information about the technical background of this class, e.g., paper reference or book this class is based on.

  Specified by:
    `getTechnicalInformation` in interface `TechnicalInformationHandler`
  Returns:
    the technical information about this class

### listOptions

    public java.util.Enumeration listOptions()

  Returns an enumeration describing the available options.

  Specified by:
    `listOptions` in interface `OptionHandler`
  Returns:
    an enumeration of all the available options.

### setOptions

    public void setOptions(java.lang.String[] options)
                    throws java.lang.Exception

  Sets the OptionHandler's options using the given list. All options will be set (or reset) during this call (i.e. incremental setting of options is not possible).

  Valid options are:

       -c <class index>
        The index of the class attribute.
        (default last)

       -D
        Turn on debugging output.

       -l <num>
        The number of times each instance is classified.
        (default 10)

       -p <proportion of objects in common>
        The average proportion of instances common between any two training sets

       -s <seed>
        The random number seed used.

       -t <name of arff file>
        The name of the arff file used for the decomposition.

       -T <number of instances in training set>
        The number of instances in the training set.

       -W <classifier class name>
        Full class name of the learner used in the decomposition.
        eg: weka.classifiers.bayes.NaiveBayes

       Options specific to learner weka.classifiers.rules.ZeroR:

       -D
        If set, classifier is run in debug mode and
        may output additional info to the console

  Specified by:
    `setOptions` in interface `OptionHandler`
  Parameters:
    `options` - the list of options as an array of strings
  Throws:
    `java.lang.Exception` - if an option is not supported

### getOptions

    public java.lang.String[] getOptions()

  Gets the current settings of the CheckClassifier.

  Specified by:
    `getOptions` in interface `OptionHandler`
  Returns:
    an array of strings suitable for passing to setOptions

### setClassifier

    public void setClassifier(Classifier newClassifier)

  Set the classifiers being analysed

  Parameters:
    `newClassifier` - the Classifier to use.

### getClassifier

    public Classifier getClassifier()

  Gets the name of the classifier being analysed

  Returns:
    the classifier being analysed.

### setDebug

    public void setDebug(boolean debug)

  Sets debugging mode

  Parameters:
    `debug` - true if debug output should be printed

### getDebug

    public boolean getDebug()

  Gets whether debugging is turned on

  Returns:
    true if debugging output is on

### setSeed

    public void setSeed(int seed)

  Sets the random number seed

  Parameters:
    `seed` - the random number seed

### getSeed

    public int getSeed()

  Gets the random number seed

  Returns:
    the random number seed

### setClassifyIterations

    public void setClassifyIterations(int classifyIterations)

  Sets the number of times an instance is classified

  Parameters:
    `classifyIterations` - number of times an instance is classified

### getClassifyIterations

    public int getClassifyIterations()

  Gets the number of times an instance is classified

  Returns:
    the maximum number of times an instance is classified

### setDataFileName

    public void setDataFileName(java.lang.String dataFileName)

  Sets the name of the dataset file.

  Parameters:
    `dataFileName` - name of dataset file.

### getDataFileName

    public java.lang.String getDataFileName()

  Get the name of the data file used for the decomposition

  Returns:
    the name of the data file

### getClassIndex

    public int getClassIndex()

  Get the index (starting from 1) of the attribute used as the class.

  Returns:
    the index of the class attribute

### setClassIndex

    public void setClassIndex(int classIndex)

  Sets index of attribute to discretize on

  Parameters:
    `classIndex` - the index (starting from 1) of the class attribute

### getKWBias

    public double getKWBias()

  Get the calculated bias squared according to the Kohavi and Wolpert definition

  Returns:
    the bias squared

### getWBias

    public double getWBias()

  Get the calculated bias according to the Webb definition

  Returns:
    the bias

### getKWVariance

    public double getKWVariance()

  Get the calculated variance according to the Kohavi and Wolpert definition

  Returns:
    the variance

### getWVariance

    public double getWVariance()

  Get the calculated variance according to the Webb definition

  Returns:
    the variance according to Webb

### getKWSigma

    public double getKWSigma()

  Get the calculated sigma according to the Kohavi and Wolpert definition

  Returns:
    the sigma

### setTrainSize

    public void setTrainSize(int size)

  Set the training size.

  Parameters:
    `size` - the size of the training set

### getTrainSize

    public int getTrainSize()

  Get the training size

  Returns:
    the size of the training set

### setP

    public void setP(double proportion)

  Set the proportion of instances that are common between two training sets used to train a classifier.

  Parameters:
    `proportion` - the proportion of instances that are common between training sets.

### getP

    public double getP()

  Get the proportion of instances that are common between two training sets.

  Returns:
    the proportion

### getError

    public double getError()

  Get the calculated error rate

  Returns:
    the error rate

### decompose

    public void decompose()
                   throws java.lang.Exception

  Carry out the bias-variance decomposition using the sub-sampled cross-validation method.

  Throws:
    `java.lang.Exception` - if the decomposition couldn't be carried out

### findCentralTendencies

    public java.util.Vector findCentralTendencies(double[] predProbs)

  Finds the central tendency, given the classifications for an instance. Where the central tendency is defined as the class that was most commonly selected for a given instance.

  For example, instance 'x' may be classified out of 3 classes y = {1, 2, 3}, so if x is classified 10 times, and is classified as follows, '1' = 2 times, '2' = 5 times and '3' = 3 times. Then the central tendency is '2'.

  However, it is important to note that this method returns a list of all classes that have the highest number of classifications. In cases where there are several classes with the largest number of classifications, then all of these classes are returned. For example if 'x' is classified '1' = 4 times, '2' = 4 times and '3' = 2 times. Then '1' and '2' are returned.

  Parameters:
    `predProbs` - the array of classifications for a single instance.
  Returns:
    a Vector containing Integer objects which store the class(s) which are the central tendency.

### toString

    public java.lang.String toString()

  Returns description of the bias-variance decomposition results.

  Overrides:
    `toString` in class `java.lang.Object`
  Returns:
    the bias-variance decomposition results as a string

### getRevision

    public java.lang.String getRevision()

  Returns the revision string.

  Specified by:
    `getRevision` in interface `RevisionHandler`
  Returns:
    the revision

### main

    public static void main(java.lang.String[] args)

  Test method for this class

  Parameters:
    `args` - the command line arguments

### randomize

    public final void randomize(int[] index,
                                java.util.Random random)

  Accepts an array of ints and randomises the values in the array, using the random seed.

  Parameters:
    `index` - is the array of integers
    `random` - is the Random seed.

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