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Gradient Origin Networks

ICLR 2021 · Probabilistic and scientific modeling › Variational and generative sampling · approach: Disentangled and discrete latent models · 2 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
replace the separate encoder with gradient-based origin encodingsGON · MNIST, Fashion-MNIST, Small NORB, CIFAR-10validation 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\!0.0Helped
replace the separate encoder with gradient-based origin encodingsGON · COIL20validation reconstruction loss (summed squared error): 5.35\!\pm\!0.01 vs AE 6.05\!\pm\!0.11; GLO 3.27\!\pm\!0.02Mixed
use a variational gradient-origin model instead of a VAEVGON · MNIST, Small NORB, COIL20, CIFAR-10, CelebAvalidation 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 5.59Helped
use a variational gradient-origin model instead of a VAEVGON · Fashion-MNISTvalidation ELBO (bits/dim): 3.30 vs 3.23Hurt
detach gradients from the latent code before reconstruction (ablation)GON · MNISTvalidation reconstruction loss (summed squared error): 0.41\!\pm\!0.01 -> 8.17\!\pm\!0.15Hurt
detach gradients from the latent code and use 10 update steps (ablation)GON · CIFAR-10validation reconstruction loss (summed squared error): 9.12\!\pm\!0.03 -> 28.68\!\pm\!1.16Hurt
use 10 latent update steps instead of one (ablation)GON · CIFAR-10validation reconstruction loss (summed squared error): 9.12\!\pm\!0.03 -> 9.19\!\pm\!0.01No clear effect
use 10 latent update steps instead of one (ablation)GON · MNISTvalidation reconstruction loss (summed squared error): 0.41\!\pm\!0.01 -> 0.42\!\pm\!0.01No clear effect
initialize the latent input with random noise rather than the origin (ablation)GON · CIFAR-10reconstruction lossHurt
use a gradient-descent-style latent update rather than the proposed negative-gradient encoding (ablation)GON · CIFAR-10reconstruction lossHurt
use an activation whose second derivative is non-zero (ablation)GON · image reconstructionreconstruction lossHelped
use ELU instead of ReLU (ablation)GON · image reconstructionreconstruction lossHelped

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