I do not understand your explanation of the formula. Or if I do understand it then the formula must be wrong.
calculate AUC for prediction
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how to calculate accuracy of link prediction in social network that is calculated from equation
AUC =( n′ + 0.5 × n′′) / n
where n′ times the missing link having higher similarity value and n′′ times the missing link and nonexistent link having the same similarity value
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