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Orthogonal Weight Normalization: Solution to Optimization Over Multiple Dependent Stiefel Manifolds in Deep Neural Networks

AAAI 2018 · Architectures and efficiency › RNNs and normalization · approach: Theory of depth and width · 140 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Replace convolution layers with OLMVGG-style · CIFAR-10test error (%): 10.39 ± 0.14 -> 8.61 ± 0.18Helped
Replace convolution layers with OLMVGG-style · CIFAR-100test error (%): 36.02 ± 0.40 -> 32.58 ± 0.10Helped
Replace convolution layers with OLMBN-Inception · CIFAR-10test error (%): 5.38 ± 0.18 -> 4.74 ± 0.16Helped
Replace convolution layers with OLMBN-Inception · CIFAR-100test error (%): 24.87 ± 0.15 -> 22.02 ± 0.13Helped
Replace all convolution layers with OLMWRN-28-10 · CIFAR-10test error (%): 4.17 -> 3.73 ± 0.12Helped
Replace all convolution layers with OLMWRN-28-10 · CIFAR-100test error (%): 20.04 -> 18.76 ± 0.40Helped
Replace only the first convolution layer with OLM (ablation)WRN-28-10 · CIFAR-10test error (%): 4.17 -> 3.82 ± 0.19Helped
Replace only the first convolution layer with OLM (ablation)WRN-28-10 · CIFAR-100test error (%): 20.04 -> 18.61 ± 0.14Helped
Replace first 2 convolution layers with OLM instead of all layers (ablation)VGG-style · CIFAR-10test error (%): 8.61 ± 0.18 -> 10.06 ± 0.23Hurt
Replace first 2 convolution layers with OLM instead of all layers (ablation)VGG-style · CIFAR-100test error (%): 32.58 ± 0.10 -> 35.42 ± 0.32Hurt
Replace first 4 convolution layers with OLM instead of all layers (ablation)VGG-style · CIFAR-10test error (%): 8.61 ± 0.18 -> 9.61 ± 0.23Hurt
Replace first 4 convolution layers with OLM instead of all layers (ablation)VGG-style · CIFAR-100test error (%): 32.58 ± 0.10 -> 33.66 ± 0.11Hurt

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