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Computational Complexity of Frequent Itemset Mining

  • How many itemsets are potentially to be generated in the worst case?
    • The number of frequent itemsets to be generated is senstive to the minsup threshold
    • When minsup is low, there exist potentially an exponential number of frequent itemsets
    • The worst case: MN where M: # distinct items, and N: max length of transactions
  • The worst case complexty vs. the expected probability
    • Ex. Suppose Walmart has 10^4 kinds of products
      • The chance to pick up one product 10^(-4)
      • The chance to pick up a particular set of 10 products: ~10^(-40)
      • What is the chance this particular set of 10 products to be frequent 10^3 times in 10^9 transactions?

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