Ranking: Difference between revisions

← Older edit

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 ===Pair-wise ranking===
-If you data is of the form: <math>y(x_a) > y(x_b)</math> then you can train so that your model maximizes <math>f(x_a) - f(x_b)</math> using a hinge loss: <math>L(x_a, x_b) = max(0, 1-(f(x_a) - f(x_b)))</math>
+If you data is of the form: <math>y(x_a) > y(x_b)</math> then you can train so that your model maximizes <math>f(x_a) - f(x_b)</math> using a hinge loss:
+<math>
+\begin{equation}
+L(x_a, x_b) = max(0, 1-(f(x_a) - f(x_b)))
+\end{equation}
+</math>
+===Listwise ranking===
+Use something like [https://auai.org/uai2014/proceedings/individuals/164.pdf ListMLE]
 ==Metrics==