11. However, the logistic loss function does not assign zero penalty to any points. 12. The loss function is then given by: 13. A common choice for the path-loss function is a simple power-law. 14. This structure leads the logistic loss function to be sensitive to outliers in the data. 15. It is very restrictive and sometimes the loss function may be characterized by its desirable properties. 16. The modified Huber loss is a special case of this loss function with \ gamma = 2. 17. In statistics, decision theory, and some economic models, a loss function plays a similar role. 18. The quadratic loss function is also used in tractable because it results in linear first-order conditions. 19. Zhang ( 2004 ) provides a loss function based on least squares, a modified Huber loss function: 20. Zhang ( 2004 ) provides a loss function based on least squares, a modified Huber loss function :
