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Differentiable Sorting Networks for Scalable Sorting and Ranking Supervision

ICML 2021 · Architectures and efficiency › RNNs and normalization · approach: Neural-symbolic reasoning · 1 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Replace the sorting operators with differentiable odd-even sorting networksfour-digit MNIST ranking supervision · four-digit MNIST, n=5EM: 71.5 -> 86.3Helped
Use the bitonic sorting network rather than odd-evenSVHN ranking supervision · SVHN, n=32EW: 36.6 -> 42.4Helped
Add the activation replacement trick (ablation)differentiable sorting networks · MNIST, n=32EW: 61.5 -> 69.1; 62.8 -> 67.3Helped
Add the activation replacement trick (ablation)differentiable sorting networks · SVHN, n=32EW: 28.5 -> 36.6; 35.0 -> 42.4Helped
Increase ART intensity from lambda=0.25 to lambda=0.4 (ablation)Bitonic sorting network · MNIST, n=32EM5: 78.2% to 80.97%Helped
Train on larger ordered setsBitonic sorting network · MNIST, up to n=1024EM5: 78.20; 82.80Helped
Use differentiable top-k supervision instead of Softmax Cross-EntropyCIFAR-10, Vanilla CNN · CIFAR-10accuracy: 87.2% -> 88.0%Helped
Use differentiable top-k supervision instead of Softmax Cross-EntropyCIFAR-10, ResNet18 · CIFAR-10accuracy: 91.0% -> 90.9%No clear effect
Use differentiable top-k supervision instead of Softmax Cross-EntropyCIFAR-100, Vanilla CNN · CIFAR-100accuracy: 58.2% -> 56.3%Hurt
Use differentiable top-k supervision instead of Softmax Cross-EntropyCIFAR-100, ResNet18 · CIFAR-100accuracy: 61.9% -> 63.3%Helped
Increase ART intensity beyond lambda=0.5 (ablation)differentiable sorting networks · varying ART intensitiesaccuracyHurt

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