Research map / Probabilistic and scientific modeling / Variational and generative sampling
SoftSort: A Continuous Relaxation for the argsort Operator
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Replace NeuralSort with SoftSort | Differentiable sorting for large-MNIST permutation prediction · Large-MNIST sorting, n=3, 5, 7, 9, 15 | proportion 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 SoftSort | Differentiable quantile regression · Large-MNIST, n=5, 9, 15 | mean 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 kNN | kNN classifier · MNIST | test classification accuracy: 99.5% -> 99.37% | Hurt |
| Replace NeuralSort with SoftSort in differentiable kNN | kNN classifier · Fashion-MNIST | test classification accuracy: 93.5% -> 93.60 % | Helped |
| Replace NeuralSort with SoftSort in differentiable kNN | kNN classifier · CIFAR-10 | test classification accuracy: 90.7% -> 92.03% | Helped |
| Use SoftSort instead of NeuralSort | Sorting operator implementation · Speed comparison, CPU and GPU | runtime: 80% slower on CPU; 40% slower on GPU | Helped |
| Increase the learning rate and temperature used for NeuralSort sorting experiments | NeuralSort · Large-MNIST sorting | proportion of correct permutations | Helped |
| Use absolute distance instead of squared distance in SoftSort (ablation) | SoftSort · Synthetic speed-comparison task | convergence speed | Hurt |
| Use absolute distance instead of squared distance in SoftSort (ablation) | SoftSort · Operator choice during experimentation | performance | Helped |
| Increase k in differentiable kNN (ablation) | SoftSort-based kNN · MNIST, Fashion-MNIST, and CIFAR-10 | classification performance | Helped |
| Use cross-entropy loss instead of negative predicted class probability (ablation) | Differentiable kNN with SoftSort or NeuralSort · MNIST, Fashion-MNIST, and CIFAR-10 | classification performance | Hurt |
Closest papers by meaning
- Stochastic Optimization of Sorting Networks via Continuous Relaxations (ICLR 2019 · similarity 0.89)
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