 ##  [Precision](/precision-0) 

 Definition

In information retrieval and classification, the fraction of items labeled as positive by a system that are actually true positives; also called positive predictive value.

 

 

 

 

 

 





## Principle

Principle

Quantify the trustworthiness of positive predictions by dividing true positives by all predicted positives; emphasizes correctness among predicted positives rather than coverage of all actual positives.

 

 

 

 

 





## Demonstration

Demonstration

A spam filter marks 50 emails as spam; 40 of those are truly spam, so precision = 40/50 = 0.8.

 

 

 

 

## Misapplication

Misapplication

Optimizing solely for precision can produce a system that labels very few items as positive (to avoid false positives), yielding poor recall and missing many actual positives.

 

 

 

 

 





## Consequence

Consequence

High precision reduces the rate of false alarms and is appropriate when the cost of false positives is high; it supports decisions where positive predictions must be reliable.

 

 

 

 

## Reversal

Reversal

Prioritizing recall over precision (e.g., by lowering the decision threshold) increases detection of positives but typically reduces precision because more false positives are included.

 

 

 

 

 





## Boundary

Boundary

Defined for classification tasks with a clear positive class and binary or thresholded outputs; not directly applicable to multi-class settings without per-class definition or to regression without discretization.

 

 

 

 

 





## Semantic Tension

Semantic Tension

Often contrasted with accuracy and recall; precision measures quality of positives while recall measures quantity of true positives captured—balancing both is necessary for reliable classifiers.

 

 

 

 

 





## Synthesis

Synthesis

Precision measures the purity of predicted positives: the proportion of predicted positives that are correct. Use it when false positives are costly, and combine with recall or F-score to understand overall performance.