Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  study surrogate losses for learning to rank, in a framework where the rankings are induced by scores and the task is to learn the scoring function.  focus on the calibration of surrogate losses with respect to a ranking evaluation metric, where the calibration is equivalent to the guarantee that near-optimal values of the surrogate risk imply near-optimal values of the risk defined by the evaluation metric.  prove that if a surrogate loss is a convex function of the scores, then it is not calibrated with respect to two evaluation metrics widely used for search engine evaluation, namely the Average Precision and the Expected Reciprocal Rank.  also show that such convex surrogate losses cannot be calibrated with respect to the Pairwise Disagreement, an evaluation metric used when learning from pair-wise preferences. Our results cast lights on the intrinsic difficulty of some ranking problems, as ll as on the limitations of learning-to-rank algorithms based on the minimization of a convex surrogate risk.
['Clément Calauzènes', 'Nicolas Usunier', 'Patrick Gallinari']
I am writing a research paper on a idea On the (Non-)existence of Convex, Calibrated Surrogate Losses for Ranking
[{"from": "human", "value": "I am writing a research paper on a idea On the (Non-)existence of Convex, Calibrated Surrogate Losses for Ranking"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  study surrogate losses for learning to rank, in a framework where the rankings are induced by scores and the task is to learn the scoring function.  focus on the calibration of surrogate losses with respect to a ranking evaluation metric, where the calibration is equivalent to the guarantee that near-optimal values of the surrogate risk imply near-optimal values of the risk defined by the evaluation metric.  prove that if a surrogate loss is a convex function of the scores, then it is not calibrated with respect to two evaluation metrics widely used for search engine evaluation, namely the Average Precision and the Expected Reciprocal Rank.  also show that such convex surrogate losses cannot be calibrated with respect to the Pairwise Disagreement, an evaluation metric used when learning from pair-wise preferences. Our results cast lights on the intrinsic difficulty of some ranking problems, as ll as on the limitations of learning-to-rank algorithms based on the minimization of a convex surrogate risk."}]