vault backup: 2026-06-12 18:27:49

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ben committed 2026-06-12 18:27:49 -07:00
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![[rocCurve.excalidraw]]
A perfect classifier is represented by a point at $(0, 1)$ which means that every prediction is correct (no false positives). A straight line from $(0, 0)$ to $(1, 1)$ represents a random classifier (same number of true and false positives). Curves will generally look like the green or blue ones with blue performing better than a random classifier and green performing worse.
The area under the ROC curve (AUC) represents the probability that given random positive and negative examples it will rank the positive example above the negative one. A perfect classifier has a AUC of 1.0 meaning that it will always put a positive instance above a negative one thus separating the two classes.
The area under the ROC curve (AUC) represents the probability that given random positive and negative examples it will rank the positive example above the negative one. A perfect classifier has a AUC of 1.0 meaning that it will always put a positive instance above a negative one thus separating the two classes.
### Metric Usage
There are many different factors that need to be taken into account when choosing a metric to use to evaluate a model.
One of the biggest ones is whether the dataset is balanced or not. If the dataset is imbalanced accuracy is not a good metric as it can reward a model doing well on a majority class and poorly on a minority class. This is especially problematic in scenarios such as predicting a disease where false negatives are extremely detrimental.