For an association rule x->y, When the lift is 1, x and y are independent. If lift is lesser than 1, then both are negatively correlated else they are positively corrrelated. What if they have non-linear correlation? Would the association rule/frequent itemsets capture such associations?
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Association rule mining works with discrete items (nominal labels) and is based on contingency tables (counts). An appropriate type of correlation is the Phi correlation coefficient. The concept of non-linear relationships does not apply in this case.

Michael Hahsler
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