Probabilistic Extension of Precision, Recall, and F1 Score for More Thorough Evaluation of Classification Models

In pursuit of the perfect supervised NLP classifier, razor thin margins and low-resource testsets can make modeling decisions difficult. Popular metrics such as Accuracy, Precision, and Recall are often insufficient as they fail to give a complete picture of the model's behavior. We present a probabilistic extension of Precision, Recall, and F1 score, which we refer to as confidence-Precision (cPrecision), confidence-Recall (cRecall), and confidence-F1 (cF1) respectively. The proposed metrics address some of the challenges faced when evaluating large-scale NLP systems, specifically when the model's confidence score assignments have an impact on the system's behavior. We describe four key benefits of our proposed metrics as compared to their threshold-based counterparts. Two of these benefits, which we refer to as robustness to missing values and sensitivity to model confidence score assignments are self-evident from the metrics' definitions; the remaining benefits, generalization, and functional consistency are demonstrated empirically.