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How Important Is Weight Symmetry in Backpropagation?

AAAI 2016 · Architectures and efficiency › RNNs and normalization · approach: Backprop-free credit assignment · 92 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
replace symmetric feedback with fixed random feedback (RndF)SGD backprop · CIFARerror rate: 22.73 -> 42.69Hurt
replace symmetric feedback with fixed random feedback (RndF)SGD backprop · CIFAR100error rate: 55.15 -> 90.88Hurt
add Batch Normalization to random feedback (ablation)RndF · CIFARerror rate: 42.69 -> 24.35Helped
add Batch Manhattan alone to random feedback (ablation)RndF · CIFARerror rate: 42.69 -> 62.71Hurt
use sign-concordant feedback (uSF) instead of random feedback, with BN+BM (ablation)RndF+BN+BM · CIFAR100error rate: 64.69 -> 53.12Helped
asymmetric sign-concordant BP (uSF+BN+BM) vs symmetric SGDSGD · PubFig83-IDerror rate: 63.25 -> 40.67Helped
asymmetric sign-concordant BP (uSF+BN+BM) vs symmetric SGDSGD · TIMIT80error rate: 23.04 -> 25.12Hurt
lower sign-concordance probability of random-magnitude feedback (ablation)brSF/frSF+BN+BM · CIFAR (fixed M,S)error rate: 19.02 -> 31.54Hurt
vary Batch Manhattan setting (BM1/BM2/BM3) (ablation)uSF+BN · CIFARerror rate: 19.29 / 18.87 / 18.38No clear effect
freeze last layer, learn lower layers (Bottom) (ablation)RndF · CIFARerror rate: 42.69 -> 89.71Hurt
freeze last layer, learn lower layers (Bottom) (ablation)uSF+BN+BM · CIFARerror rate: 19.29 -> 16.72Helped
add Batch NormalizationSGD · CIFARerror rate: 22.73 -> 16.75Helped

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