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Scalable One-Pass Optimisation of High-Dimensional Weight-Update Hyperparameters by Implicit Differentiation

ICLR 2022 · Architectures and efficiency › RNNs and normalization · approach: Dataset distillation and data-efficient training · 0 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
optimise weight decay and learning rate in one passthe proposed hyperparameter optimiser · UCI Energytest MSE (mean): 24 \pm\,2 -> 2.1 \pm\,0.1Helped
add momentum optimisation (ablation)Ours WD+LR · UCI Energytest MSE (mean): 2.1 \pm\,0.1 -> 0.96 \pm\,0.08Helped
add independent per-parameter learning rates (ablation)Ours WD+LR+M · UCI Energytest MSE (mean): 0.96 \pm\,0.08 -> 0.6 \pm\,0.2Helped
add independent per-parameter learning rates (ablation)Ours WD+LR+M · UCI Powertest MSE (mean): 17.19 \pm\,0.01 -> 16.69 \pm\,0.03Helped
add independent per-parameter learning rates (ablation)Ours WD+LR+M · Fashion-MNISTtest cross-entropy (mean): 0.369 \pm\,0.002 -> 0.398 \pm\,0.004Hurt
add independent per-parameter learning rates (ablation)Ours WD+LR+M · CIFAR-10test cross-entropy (mean): 1.13 \pm\,0.02 -> 1.33 \pm\,0.05Hurt
optimise weight decay, learning rate, and momentum instead of weight decay and learning rate alone (ablation)Ours WD+LR · Fashion-MNISTtest cross-entropy (mean): 0.373 \pm\,0.002 -> 0.369 \pm\,0.002Helped
optimise weight decay, learning rate, and momentum instead of weight decay and learning rate alone (ablation)Ours WD+LR · Penn Treebanktest perplexity (mean): 360 \pm\,20 -> 270 \pm\,30Helped
optimise weight decay, learning rate, and momentum instead of weight decay and learning rate alone (ablation)Ours WD+LR · Kin8nmtest MSE (mean): 8.1 \pm\,0.2 -> 8.1 \pm\,0.4No clear effect
replace approximate hypergradients with exact differentiation through optimisationOurs WD+LR+M · Fashion-MNISTtest cross-entropy (mean): 0.369 \pm\,0.002 -> 0.386 \pm\,0.001Hurt
increase the look-back horizon to all training steps (ablation)Diff-through-Opt · UCI datasetstest lossNo clear effect
increase the look-back distance (ablation)Ours WD+LR+M · UCI Energymedian final test lossMixed

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