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→Generalized smooth hinge loss: reference: http://qwone.com/~jason/writing/smoothHinge.pdf |
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The generalized smooth hinge loss function with parameter <math>\alpha</math> is defined as
:<math>f^*_\alpha(z) \;=\; \begin{cases} \frac{\alpha}{\alpha + 1} - z & \text{if }z< 0 \\ \frac{1}{\alpha + 1}z^{\alpha + 1} - z + \frac{\alpha}{\alpha + 1} & \text{if } 0<z<1 \\ 0 & \text{if } z \geq 1 \end{cases},</math>
where
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