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Fast Differentiable Sorting and Ranking
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Replace the OT soft ranking operator with r_Q or r_E | vanilla CNN with top-k classification loss · CIFAR-100 | training time for 600 epochs: 29 hours -> 21 hours; 29 hours -> 23 hours | Helped |
| Replace OT with the All-pairs soft ranking operator | vanilla CNN with top-k classification loss · CIFAR-100 | training time for 600 epochs: 29 hours -> 16 hours | Helped |
| Use proposed soft ranks instead of OT soft ranks | vanilla CNN with top-k classification loss · CIFAR-10 and CIFAR-100 | accuracy | No clear effect |
| Use the All-pairs formulation rather than cross-entropy loss | vanilla CNN with top-k classification loss · CIFAR-10 and CIFAR-100 | accuracy | Hurt |
| Use the proposed soft top-k loss rather than cross-entropy loss | vanilla CNN · CIFAR-10 and CIFAR-100 | accuracy | Helped |
| Add a quadratic soft rank layer | linear label-ranking model · 21 label-ranking datasets | Spearman's rank correlation coefficient: 15 datasets; 4; 2 datasets | Mixed |
| Remove the soft ranking layer (ablation) | linear label-ranking model · housing | Spearman's rank correlation coefficient: 0.70 ± 0.03 -> 0.77 ± 0.03 | Hurt |
| Replace quadratic regularization with entropic log-KL projection (ablation) | linear label-ranking model · housing | Spearman's rank correlation coefficient: 0.77 ± 0.03 -> 0.78 ± 0.02 | Helped |
| Replace log-KL projection with direct KL projection (ablation) | linear label-ranking model · housing | Spearman's rank correlation coefficient: 0.78 ± 0.02 -> 0.77 ± 0.03 | No clear effect |
| Add the quadratic soft rank layer (ablation) | linear label-ranking model · pendigits | Spearman's rank correlation coefficient: 0.94 ± 0.00 -> 0.96 ± 0.00 | Helped |
| Scale input dimension using the proposed soft ranking operator rather than OT | batch soft-ranking computation · random Gaussian score vectors, n up to 5000 | memory feasibility: n=2000; n=1000 | Helped |
| Use soft least trimmed squares rather than ridge regression as outliers increase | robust regression · LIBSVM datasets | R_2 | Mixed |
Closest papers by meaning
- Differentiable Ranking and Sorting using Optimal Transport (NeurIPS 2019 · similarity 0.92)
- PiRank: Scalable Learning To Rank via Differentiable Sorting (NeurIPS 2021 · similarity 0.88)
- Monotonic Differentiable Sorting Networks (ICLR 2022 · similarity 0.87)
- LapSum - One Method to Differentiate Them All: Ranking, Sorting and Top-k Selection (ICML 2025 · similarity 0.86)
- Differentiable Sorting Networks for Scalable Sorting and Ranking Supervision (ICML 2021 · similarity 0.86)
- Generalized Neural Sorting Networks with Error-Free Differentiable Swap Functions (ICLR 2024 · similarity 0.83)
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