Ranking: Difference between revisions
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===Point-wise ranking=== | ===Point-wise ranking=== | ||
In point-wise ranking, you have some scores for you document <math>y_i</math> so you can train your model <math>f</math> to predict such scores in a | In point-wise ranking, you have some scores for you document <math>y_i</math> so you can train your model <math>f</math> to predict such scores in a supervised manner. | ||
===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> | |||