Equation 8 · Part 1 · Comparing the Main Approaches to AI and Cybersecurity
Symbol pi
What this part means
the when.
Its job in the formula
pi is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
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Where the article explains it
When is very small, as it genuinely is in most enterprise traffic, even a detector with a low false-positive rate in isolation produces an alert stream that is mostly false alarms, because the enormous volume of benign events supplies far more raw false positives than the rare true attacks supply true ones.
The passage around this formula
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 , and a detector has true-positive rate and false-positive rate , Bayes’ rule gives the probability that a flagged event is a real attack as
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A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.
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Sources cited in the article section
- [9] Outside the Closed World: On Using Machine Learning for Network Intrusion Detection ↗
- [10] Generative AI and Security Operations Center Productivity: Evidence from Live Operations ↗
- [11] Randomized Controlled Trials for Security Copilot for IT Administrators ↗
- [12] Google's latest AI security announcements ↗
- [15] MITRE ATLAS ↗
These citations provide research context; check each source for the exact claim it supports.