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Training Generative Adversarial Networks by Solving Ordinary Differential Equations

NeurIPS 2020 · Probabilistic and scientific modeling › Differential equations and PDEs · approach: Structured continuous-depth models · 15 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use RK4 rather than Euler (ablation)ODE-GAN on CIFAR-10 with DCGAN · CIFAR-10 unconditional, DCGANFID (best): 19.43 ± 0.03 -> 17.66 ± 0.38Helped
Use RK4 rather than RK2 (ablation)ODE-GAN on CIFAR-10 with DCGAN · CIFAR-10 unconditional, DCGANFID (best): 18.66 ± 0.24 -> 17.66 ± 0.38Helped
Increase gradient regularisation weight from λ=0.001 to λ=0.01 (ablation)ODE-GAN (RK4) on CIFAR-10 with DCGAN · CIFAR-10 unconditional, DCGANFID (best): 25.09 ± 0.61 -> 17.66 ± 0.38Helped
Increase gradient regularisation weight from λ=0.005 to λ=0.01 (ablation)ODE-GAN (RK4) on CIFAR-10 with DCGAN · CIFAR-10 unconditional, DCGANFID (best): 18.34 ± 0.24 -> 17.66 ± 0.38Helped
Use ODE-GAN (RK4) rather than SN-GANDCGAN · CIFAR-10 unconditional, DCGANFID (best): 21.71 ± 0.61 -> 17.66 ± 0.38Helped
Use ODE-GAN (RK4) rather than SN-GANResNet · CIFAR-10 unconditional, ResNetFID (best): 15.97 ± 0.22 -> 11.85 ± 0.21Helped
Use ODE-GAN (RK4) rather than WGAN-ALPResNet · CIFAR-10 unconditional, ResNetFID (best): 12.96 ± 0.35 -> 11.85 ± 0.21Helped
Use ODE-GAN (RK4) rather than SN-GANResNet · ImageNet 128×128 conditionalFID (best): 37.05± 0.26 -> 26.16 ± 0.75Helped
Use ODE-GAN (RK4) rather than SN-GANResNet (large) · ImageNet 128×128 conditionalFID (best): 45.62 -> 22.29Helped
Use ODE-GAN (RK4) rather than SN-GANResNet (large) · ImageNet 128×128 conditionalIS (best): 24.64 -> 46.17Helped
Combine RK4 with Adam-adjusted gradients instead of using RK4 alone (ablation)ODE-GAN on CIFAR-10 with DCGAN · CIFAR-10 unconditional, DCGANFID (final): 18.05 ± 0.53 -> 23.20 ± 0.95Hurt
Combine RK4 with Adam-adjusted gradients instead of using RK4 alone (ablation)ODE-GAN on CIFAR-10 with ResNet · CIFAR-10 unconditional, ResNetFID (final): 12.50 ± 0.30 -> 20.32 ± 1.17Hurt

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