Research map / Probabilistic and scientific modeling / Differential equations and PDEs
Neural Piecewise-Constant Delay Differential Equations
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Replace a single continuously varying delay with piecewise-constant delays and multiple delayed states | NPCDDE · CIFAR10, MNIST, SVHN | test accuracy: CIFAR10: 55.69%±0.39 -> 56.59%±0.44; MNIST: 96.22%±0.55 -> 97.40%±0.19; SVHN: 81.49%±0.09 -> 82.62%±0.69 | Helped |
| Use unshared rather than shared parameters (ablation) | NPCDDE5 · CIFAR10, MNIST, SVHN | test accuracy: CIFAR10: 56.59%±0.44 -> 56.73%±0.54; MNIST: 97.40%±0.19 -> 97.69%±0.13; SVHN: 82.62%±0.69 -> 83.45%±0.38 | Helped |
| Increase the number of delays from 2 to 5 (ablation) | NPCDDE · CIFAR10, MNIST, SVHN | test accuracy: CIFAR10: 56.03%±0.25 -> 56.59%±0.44; MNIST: 97.32%±0.30 -> 97.40%±0.19; SVHN: 82.63%±0.36 -> 82.62%±0.69 | Helped |
| Increase the number of delays from 2 to 5 (ablation) | UNPCDDE · CIFAR10, MNIST, SVHN | test accuracy: CIFAR10: 56.22%±0.42 -> 56.73%±0.54; MNIST: 97.43%±0.13 -> 97.69%±0.13; SVHN: 82.99%±0.23 -> 83.45%±0.38 | Helped |
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