statistics - How to combine False positives and false negatives into one single measure -

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i'am trying measure performance of computer vision program tries detect objects in video. have 3 different versions of program have different parameters. i've benchmarked each of versions , got 3 pairs of (false positives percent, false negative percent).

now want compare versions each other , wonder if makes sense combine false positives , false negatives single value , use comparation. example, take equation falsepositives/falsenegatives , see smaller.

a couple of other possible solutions:

-your false-positive rate (fp) , false-negative rate (fn) may depend on threshold. if plot curve y-value (1-fn), , x-value (fp), you'll plotting receiver-operator-characteristic (roc) curve. area under roc curve (auc) 1 popular measure of quality.

-auc can weighted if there regions of interest

-report equal-error rate. threshold, fp=fn. report value.


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