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== Hinge Loss ==
{{main|Hinge loss}}
The hinge loss function is defined as
:<math>V(f(\vec{x}),y) = \max(0, 1-yf(\vec{x})) = |1 - yf(\vec{x})|_{+}</math>
The hinge loss provides a relatively tight, convex upper bound on the 0-1 [[indicator function]]. Specifically, the hinge loss equals the 0-1 [[indicator function]] when <math>sign(f(\vec{x})) = y</math> and <math>|y f(\vec{x})| ≥ 1</math>.
== Logistic Loss ==
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