Recall, sensitivity, true positive rate

65 min
Block 15 — The classification metrics
Objective
define recall rigorously as the fraction of actual positives a rule recovers, and derive from the one fact that its denominator is supplied by the world its invariance to prevalence, its monotonicity in the threshold, and its standing as the stable half of the precision-recall pair; reconcile the four names it carries across machine learning, medicine, signal detection and information retrieval; exhibit the trivial construction reaching recall 1.0; define specificity, per-class recall and balanced accuracy; work a costed example whose optimum has precision 0.27 and is correct; define recall@k and coverage, and measure a two-stage cascade end to end; compute macro, micro and weighted recall on multiclass and multilabel data; measure recall under label noise and establish that it is an upper bound when the negative class hides positives; compute confidence intervals governed by the positive count; and derive LR+ and LR- and use them to update pre-test odds.
Estimated duration
85 minutes
Prerequisites
chapters 011, 029, 030, 034, 050, 051, 052, 053 and 054
Associated quizzes
055.1-quiz-definition-and-denominator.md to 055.10-quiz-reporting-recall.md

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This lesson is part of the “Classification Metrics” module

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