weka.associations
Class CaRuleGeneration

java.lang.Object
  weka.associations.RuleGeneration
      weka.associations.CaRuleGeneration

All Implemented Interfaces:

java.io.Serializable

public class CaRuleGeneration

extends RuleGeneration

implements java.io.Serializable

Class implementing the rule generation procedure of the predictive apriori algorithm for class association rules. For association rules in gerneral the method is described in: T. Scheffer (2001). Finding Association Rules That Trade Support Optimally against Confidence. Proc of the 5th European Conf. on Principles and Practice of Knowledge Discovery in Databases (PKDD'01), pp. 424-435. Freiburg, Germany: Springer-Verlag.

The implementation follows the paper expect for adding a rule to the output of the n<\i> best rules. A rule is added if: the expected predictive accuracy of this rule is among the n<\i> best and it is not subsumed by a rule with at least the same expected predictive accuracy (out of an unpublished manuscript from T. Scheffer).

Version:

$Revision: 1.1 $

Author:

Stefan Mutter (mutter@cs.waikato.ac.nz)

See Also:

Serialized Form

Constructor Summary

CaRuleGeneration(ItemSet itemSet)
Constructor

Method Summary

static boolean	aSubsumesB(RuleItem a, RuleItem b) Methods that decides whether or not rule a subsumes rule b.
java.util.TreeSet	generateRules(int numRules, double[] midPoints, java.util.Hashtable priors, double expectation, Instances instances, java.util.TreeSet best, int genTime) Generates all rules for an item set.
static FastVector	singleConsequence(Instances instances) generates a consequence of length 1 for a class association rule.
static FastVector	singletons(Instances instances) Converts the header info of the given set of instances into a set of item sets (singletons).

Methods inherited from class weka.associations.RuleGeneration

binomialDistribution, change, count, expectation, removeRedundant, singleConsequence

Methods inherited from class java.lang.Object

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

Constructor Detail

CaRuleGeneration

public CaRuleGeneration(ItemSet itemSet)

Constructor

Parameters:

itemSet - the item set that forms the premise of the rule

Method Detail

generateRules

public java.util.TreeSet generateRules(int numRules,
                                       double[] midPoints,
                                       java.util.Hashtable priors,
                                       double expectation,
                                       Instances instances,
                                       java.util.TreeSet best,
                                       int genTime)

Generates all rules for an item set. The item set is the premise.

Overrides:

generateRules in class RuleGeneration

Parameters:

numRules - the number of association rules the use wants to mine. This number equals the size n<\i> of the list of the best rules.

midPoints - the mid points of the intervals

priors - Hashtable that contains the prior probabilities

expectation - the minimum value of the expected predictive accuracy that is needed to get into the list of the best rules

instances - the instances for which association rules are generated

best - the list of the n<\i> best rules. The list is implemented as a TreeSet

genTime - the maximum time of generation

Returns:

all the rules with minimum confidence for the given item set

aSubsumesB

public static boolean aSubsumesB(RuleItem a,
                                 RuleItem b)

Methods that decides whether or not rule a subsumes rule b. The defintion of subsumption is: Rule a subsumes rule b, if a subsumes b AND a has got least the same expected predictive accuracy as b.

Parameters:

a - an association rule stored as a RuleItem

b - an association rule stored as a RuleItem

Returns:

true if rule a subsumes rule b or false otherwise.

singletons

public static FastVector singletons(Instances instances)
                             throws java.lang.Exception

Converts the header info of the given set of instances into a set of item sets (singletons). The ordering of values in the header file determines the lexicographic order.

Parameters:

instances - the set of instances whose header info is to be used

Returns:

a set of item sets, each containing a single item

Throws:

java.lang.Exception - if singletons can't be generated successfully

singleConsequence

public static FastVector singleConsequence(Instances instances)

generates a consequence of length 1 for a class association rule.

Parameters:

instances - the instances under consideration

Returns:

FastVector with consequences of length 1