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Write precision, recall, and F1 from scratch, and expla...
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See plansPrecision is TP / (TP + FP): of everything the model flagged as
positive, what fraction actually was. It’s the metric to optimize when
false positives are the costly mistake — a spam filter that blocks a
real, important email is worse than one that lets a few spam messages
through. Recall is TP / (TP + FN): of everything that was actually
positive, what fraction did the model catch. It matters when false
negatives are the costly mistake — missing an actual cancer case is far
worse than a false alarm that gets ruled out on follow-up. F1 is the
harmonic mean of the two, useful as a single number when neither error
type dominates and you want a balance.
Writing it from scratch is mostly bookkeeping: count true positives,
false positives, and false negatives by comparing predicted and actual
labels pairwise, then compute the three ratios. The detail that trips
people up is guarding every division — if the model predicted zero
positives, TP + FP is zero, and dividing by it without a guard throws
a ZeroDivisionError instead of returning a sensible 0.