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Inherent Weight Normalization in Stochastic Neural Networks

NeurIPS 2019 · Architectures and efficiency › RNNs and normalization · approach: Weight normalization and decay interplay · 2 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
replace the StNN activation with multiplicative-noise threshold neurons and inherent weight normalizationfully connected MNIST network · PI MNIST testclassification error: 1.47 % -> 1.36 %Helped
scale weights by .1 during inference (ablation)NSM · PI MNIST testclassification error: 1.36 % -> 1.38 %No clear effect
use Bernoulli multiplicative noise instead of a deterministic CNNconvolutional network · MNISTclassification error: 0.880% -> 0.775 %Helped
use Gaussian multiplicative noise instead of a deterministic CNNconvolutional network · EMNISTclassification error: 6.938% -> 6.256%Helped
use Bernoulli multiplicative noise instead of a deterministic CNNconvolutional network · N-MNISTclassification error: 0.927% -> 0.689 %Helped
replace deterministic CNN with Bernoulli NSMconvolutional network · CIFAR10classification error: $10.47 \%$ -> $9.98 \%$Helped
replace deterministic CNN with Bernoulli NSMconvolutional network · CIFAR100classification error: $34.37 \%$ -> $34.85 \%$Hurt
use NSM with Bernoulli multiplicative noiseDVS Gestures convolutional network · DVS Gesturesclassification error: 9.16% -> 8.56%Helped
use straight-through gradients instead of activation-probability gradients (ablation)bNSM · MNISTclassification error: $0.775$ -> $2.13$Hurt
add weight normalization to a deterministic binary network (ablation)BD · MNISTclassification error: $3.11$ -> $2.72$Helped
train bNSM without pretrained weights (ablation)bNSM · CIFAR100classification error: $34.85 \%$ -> $35.19 \%$Hurt
train gNSM without pretrained weights (ablation)gNSM · CIFAR100classification error: $34.84 \%$ -> $34.93 \%$No clear effect

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