I've made several predictive models, tuned on maximizing the AUC score. The models have an AUC score of 0.81 and 0.57.
I wanted to see the predictions from the models in a confusion matrix, so I used the same models and predicted on the same testset as I did by the AUC score.
The confusion matrix showed that the models took the majority class as prediction.
How is it possible that the AUC score's are not the same?
Intuitively I would expect that the AUC scores should be the same, entirely if I look at the confusion matrix that predicts exactly the same majority class for both models.