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Equation 3 · How AI and Cybersecurity Actually Work

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A simple way to see why the base rate of genuine misuse matters as much as the detector’s accuracy is the standard result relating a detector’s precision to how rare the thing it is looking for actually is. If a detection system has a true-positive rate TPR\text{TPR} and false-positive rate FPR\text{FPR} , and the true prevalence of the underlying misuse event in the traffic it sees is p , the fraction of flagged events that are genuinely misuse — the precision an analyst actually experiences — is

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