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4.9 In practice, people care more about the correct ranking at the top positions of
the ranking result. Accordingly, the true loss should not be a permutation-level
0-1 loss, but should be defined with respect to the top- k subgroup. Prove that
in this new situation, ListMLE cannot lead to the optimal ranker in terms of
the true loss. Show how to modify the loss function of ListMLE such that its
minimization can minimize the top- k true loss.
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