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Research map / Learning theory and algorithms / Prediction and decision losses

Fast Differentiable Sorting and Ranking

ICML 2020 · Learning theory and algorithms › Prediction and decision losses · approach: Ranking models from comparisons · 11 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Replace the OT soft ranking operator with r_Q or r_Evanilla CNN with top-k classification loss · CIFAR-100training time for 600 epochs: 29 hours -> 21 hours; 29 hours -> 23 hoursHelped
Replace OT with the All-pairs soft ranking operatorvanilla CNN with top-k classification loss · CIFAR-100training time for 600 epochs: 29 hours -> 16 hoursHelped
Use proposed soft ranks instead of OT soft ranksvanilla CNN with top-k classification loss · CIFAR-10 and CIFAR-100accuracyNo clear effect
Use the All-pairs formulation rather than cross-entropy lossvanilla CNN with top-k classification loss · CIFAR-10 and CIFAR-100accuracyHurt
Use the proposed soft top-k loss rather than cross-entropy lossvanilla CNN · CIFAR-10 and CIFAR-100accuracyHelped
Add a quadratic soft rank layerlinear label-ranking model · 21 label-ranking datasetsSpearman's rank correlation coefficient: 15 datasets; 4; 2 datasetsMixed
Remove the soft ranking layer (ablation)linear label-ranking model · housingSpearman's rank correlation coefficient: 0.70 ± 0.03 -> 0.77 ± 0.03Hurt
Replace quadratic regularization with entropic log-KL projection (ablation)linear label-ranking model · housingSpearman's rank correlation coefficient: 0.77 ± 0.03 -> 0.78 ± 0.02Helped
Replace log-KL projection with direct KL projection (ablation)linear label-ranking model · housingSpearman's rank correlation coefficient: 0.78 ± 0.02 -> 0.77 ± 0.03No clear effect
Add the quadratic soft rank layer (ablation)linear label-ranking model · pendigitsSpearman's rank correlation coefficient: 0.94 ± 0.00 -> 0.96 ± 0.00Helped
Scale input dimension using the proposed soft ranking operator rather than OTbatch soft-ranking computation · random Gaussian score vectors, n up to 5000memory feasibility: n=2000; n=1000Helped
Use soft least trimmed squares rather than ridge regression as outliers increaserobust regression · LIBSVM datasetsR_2Mixed

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