What is a false positive?

Definition

In a binary decision, the positive result means the condition being tested is present. A false positive occurs when the system reports that result for an example whose correct label is negative. Its practical cost depends on the task.

Changing a decision threshold can alter the balance between false positives and false negatives, which are missed positive cases. A useful comparison considers both kinds of mistake rather than assuming one threshold suits every application.

ELI5

A false positive is a mistaken yes. The system says it found what it was looking for, but it did not.

For example, a filter might label an ordinary receipt as spam. That is a false positive for the spam category. Missing a real spam message would be the opposite kind of mistake, a false negative.

Is a false positive always harmful?

Its importance depends on the task. It might waste review time, hide a useful message or trigger an unnecessary response.

Can reducing false positives create other errors?

Yes. A stricter threshold can reduce false positives while causing the system to miss more genuine positive cases.

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Definition card for false positive: What is a false positive?

A false positive is a result that incorrectly identifies a condition or category as present, such as flagging an irrelevant document as relevant.