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Gradient Origin Networks
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| replace the separate encoder with gradient-based origin encodings | GON · MNIST, Fashion-MNIST, Small NORB, CIFAR-10 | validation reconstruction loss (summed squared error): MNIST: 0.41\!\pm\!0.01 vs 1.33\!\pm\!0.02; Fashion-MNIST: 1.00\!\pm\!0.01 vs 1.75\!\pm\!0.02; Small NORB: 0.17\!\pm\!0.0 | Helped |
| replace the separate encoder with gradient-based origin encodings | GON · COIL20 | validation reconstruction loss (summed squared error): 5.35\!\pm\!0.01 vs AE 6.05\!\pm\!0.11; GLO 3.27\!\pm\!0.02 | Mixed |
| use a variational gradient-origin model instead of a VAE | VGON · MNIST, Small NORB, COIL20, CIFAR-10, CelebA | validation ELBO (bits/dim): MNIST: 1.06 vs 1.15; Small NORB: 2.34 vs 2.54; COIL20: 3.44 vs 3.63; CIFAR-10: 5.85 vs 5.94; CelebA: 5.41 vs 5.59 | Helped |
| use a variational gradient-origin model instead of a VAE | VGON · Fashion-MNIST | validation ELBO (bits/dim): 3.30 vs 3.23 | Hurt |
| detach gradients from the latent code before reconstruction (ablation) | GON · MNIST | validation reconstruction loss (summed squared error): 0.41\!\pm\!0.01 -> 8.17\!\pm\!0.15 | Hurt |
| detach gradients from the latent code and use 10 update steps (ablation) | GON · CIFAR-10 | validation reconstruction loss (summed squared error): 9.12\!\pm\!0.03 -> 28.68\!\pm\!1.16 | Hurt |
| use 10 latent update steps instead of one (ablation) | GON · CIFAR-10 | validation reconstruction loss (summed squared error): 9.12\!\pm\!0.03 -> 9.19\!\pm\!0.01 | No clear effect |
| use 10 latent update steps instead of one (ablation) | GON · MNIST | validation reconstruction loss (summed squared error): 0.41\!\pm\!0.01 -> 0.42\!\pm\!0.01 | No clear effect |
| initialize the latent input with random noise rather than the origin (ablation) | GON · CIFAR-10 | reconstruction loss | Hurt |
| use a gradient-descent-style latent update rather than the proposed negative-gradient encoding (ablation) | GON · CIFAR-10 | reconstruction loss | Hurt |
| use an activation whose second derivative is non-zero (ablation) | GON · image reconstruction | reconstruction loss | Helped |
| use ELU instead of ReLU (ablation) | GON · image reconstruction | reconstruction loss | Helped |
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