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Pattern Space Pruning with Anti-Monotonicity Constraints

  • A constraint C is anti-monotone if the super pattern satisfies C, all of its sub-patterns do so too
  • In other words, a nti-monotonicity: If an itemset S violates the constraint, so does any of its superset
  • Ex. 1. sum(S.price) ≤ v is anti-monotone
  • Ex. 2. range(S.profit) 15 is anti-monotone
    • Itemset ab violates C
    • So does every superset of ab
  • Ex. 3. sum(S.Price) v is not anti-monotone
  • Ex. 4. support count is anti-monotone: core property used in Apriori   

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