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SoftSort: A Continuous Relaxation for the argsort Operator

ICML 2020 · Probabilistic and scientific modeling › Variational and generative sampling · approach: Gradient estimation for discrete variables · 6 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Replace NeuralSort with SoftSortDifferentiable sorting for large-MNIST permutation prediction · Large-MNIST sorting, n=3, 5, 7, 9, 15proportion of correct permutations: 0.921 ± 0.006 -> 0.918 ± 0.005 (n=3); 0.797 ± 0.010 -> 0.796 ± 0.009 (n=5); 0.663 ± 0.016 -> 0.666 ± 0.016 (n=7); 0.547 No clear effect
Replace NeuralSort with SoftSortDifferentiable quantile regression · Large-MNIST, n=5, 9, 15mean squared error: 21.52 -> 23.44 (n=5); 15.00 -> 19.26 (n=9); 18.81 -> 15.54 (n=15)Mixed
Replace NeuralSort with SoftSort in differentiable kNNkNN classifier · MNISTtest classification accuracy: 99.5% -> 99.37%Hurt
Replace NeuralSort with SoftSort in differentiable kNNkNN classifier · Fashion-MNISTtest classification accuracy: 93.5% -> 93.60 %Helped
Replace NeuralSort with SoftSort in differentiable kNNkNN classifier · CIFAR-10test classification accuracy: 90.7% -> 92.03%Helped
Use SoftSort instead of NeuralSortSorting operator implementation · Speed comparison, CPU and GPUruntime: 80% slower on CPU; 40% slower on GPUHelped
Increase the learning rate and temperature used for NeuralSort sorting experimentsNeuralSort · Large-MNIST sortingproportion of correct permutationsHelped
Use absolute distance instead of squared distance in SoftSort (ablation)SoftSort · Synthetic speed-comparison taskconvergence speedHurt
Use absolute distance instead of squared distance in SoftSort (ablation)SoftSort · Operator choice during experimentationperformanceHelped
Increase k in differentiable kNN (ablation)SoftSort-based kNN · MNIST, Fashion-MNIST, and CIFAR-10classification performanceHelped
Use cross-entropy loss instead of negative predicted class probability (ablation)Differentiable kNN with SoftSort or NeuralSort · MNIST, Fashion-MNIST, and CIFAR-10classification performanceHurt

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