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Equation 10 · Comparing the Main Approaches to AI and Cybersecurity

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FPR\mathrm{FPR}

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The arithmetic behind that claim generalizes directly to any detector, rule-based or AI-driven, and it is worth stating because it is the crux of why the two kinds of tooling are hard to compare on accuracy alone. If the base rate of genuine attacks among all monitored events is π\pi , and a detector has true-positive rate TPR\mathrm{TPR} and false-positive rate FPR\mathrm{FPR} , Bayes’ rule gives the probability that a flagged event is a real attack as

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