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Proximal Backpropagation

ICLR 2018 · Optimization › Optimizers · approach: Second-order and structured preconditioning · 8 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Replace explicit parameter updates with proximal updatesProxProp versus BackProp on CIFAR-10 · CIFAR-10 test setaccuracy: ≈ 54 % -> ≈ 56 %Helped
Use ProxProp update directions within Adam instead of BackProp directionsConvolutional network trained on CIFAR-10 · CIFAR-10 validation setaccuracy: 71.7% -> 72.9%Helped
Use ProxProp update directions within Adam instead of BackProp directionsConvolutional network trained on CIFAR-10 · CIFAR-10 test set after 50 epochsaccuracy: 69.6% -> 70.7%Helped
Use ProxProp update directions within Adam instead of BackProp directionsConvolutional network trained on CIFAR-10 · CIFAR-10 full batch trainingtraining lossHelped
Use proximal parameter updates rather than explicit BackProp updatesFully connected network trained on CIFAR-10 · CIFAR-10 full batch training across step sizesstabilityHelped
Increase the number of conjugate-gradient iterations for the proximal update (ablation)ProxProp on CIFAR-10 · CIFAR-10 full batch trainingtraining lossHelped
Use approximate proximal updates with three CG iterations instead of BackPropFully connected network trained on CIFAR-10 · CIFAR-10 full batch, 50 epochs, τ=0.05training loss: 0.091 -> 1.334Hurt
Use approximate proximal updates with five CG iterations instead of BackPropFully connected network trained on CIFAR-10 · CIFAR-10 full batch, 50 epochs, τ=0.05training loss: 0.091 -> 1.049Hurt
Use three or five CG iterations for proximal updates rather than explicit BackProp updatesFully connected network trained on CIFAR-10 · CIFAR-10 full batch, 50 epochs, τ=1training stability: BackProp: --; ProxProp (cg3): $2\cdot 10^{-3}$; ProxProp (cg5): $3\cdot 10^{-4}$Helped

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