Understanding of AUC calculation formulas and geometric meaning (detailed)

Some understanding of the AUC 1.
AUC (Area Under ROC Curve) is a measure of the performance of machine learning model, the intuitive sense ROC (Receiver Operating Characteristic) surrounded the area, but a lot of articles on the formula for calculating its AUC corresponds to the "area" intuitive sense description unclear, so I spent some time studying the formulas and geometric meaning of the AUC, all I understand, if not, look to point out.
This article codes
https://github.com/luo3300612/MachineLearningPy/blob/master/Intuition/auc.ipynb
If you can not see, copy the above line to
https://nbviewer.jupyter.org/
the code I made reference to
https : //www.zhihu.com/people/Enuok/activities
a user know almost written, I also put his code in my warehouse for comparison.

 

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Origin www.cnblogs.com/psztswcbyy/p/10984297.html