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Precision-Recall curve: As I increase the cutoff value, what happens to the direction of the curve?

User Parkar
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Final answer:

Increasing the cutoff value on a precision-recall curve typically results in lower recall and higher precision, indicating a more conservative classification with fewer positive predictions but greater accuracy among those predictions.

Step-by-step explanation:

When you increase the cutoff value in a precision-recall curve, the direction of the curve typically moves towards lower recall and higher precision. The precision-recall curve is a graphical representation showing the trade-off between precision and recall for different cutoff values.

Precision refers to the ratio of true positive predictions to the total number of positive predictions, while recall, also known as sensitivity, measures the ratio of true positive predictions to the total number of actual positives.

As you increase the cutoff for classifying an instance as positive (e.g., raising the probability threshold in a binary classifier), you make your classifier more conservative, meaning it makes fewer positive predictions, but those it does make are more likely to be correct, hence increasing the precision.

However, at the same time, the classifier might miss some actual positives, therefore reducing the recall.

This concept is important for creating an effective model, especially in domains where the trade-off between false positives and false negatives is crucial, such as in spam detection or medical diagnosis.

User Sarthak Mittal
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