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Noisy Activation Functions

ICML 2016 · Optimization › Optimizers · approach: Constrained and non-backprop training · 81 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Replace sigmoid and tanh with noisy hard-saturating activationsLSTM on Penn Treebank word-level · Penn Treebank word-leveltest perplexity: 115.6 -> 108.0Helped
Replace sigmoid and tanh with noisy hard-saturating activationsNMT · Europarl newstest2011BLEU: 20.18 -> 22.57Helped
Use hard-saturating rather than soft-saturating activationsNMT · Europarl newstest2011BLEU: 20.18 -> 21.59Helped
Use noisy activationsSoft attention captioning model · Flickr8kMETEOR: 18.9 -> 20.5Helped
Use noisy activationsSoft attention captioning model · Flickr8kBLEU-1: 67 -> 66Hurt
Add dropout to the noisy activation model (ablation)Soft attention captioning model · Flickr8kMETEOR: 20.3 -> 20.5No clear effect
Use half-normal rather than normal noise (ablation)Noisy LSTM · Penn Treebank word-leveltest perplexity: 108.0 -> 108.7Hurt
Replace sigmoid and tanh with noisy activationsReference model · Learning to Executetest accuracy: 46.45% -> 48.09%Helped
Anneal the noise scale during training (ablation)Noisy LSTM+MLP (NAN) · Unique-element sequence tasktest error: 31.12 -> 9.53Helped
Use NANIL rather than NAN with annealed noise (ablation)Noisy LSTM+MLP · Unique-element sequence tasktest error: 9.53 -> 20.94Hurt
Use normal input noise rather than output noise (ablation)Character-level GRU language model · Penn Treebanktraining performanceNo clear effect
Add noise only when the activation saturates rather than throughout training inputs (ablation)Noisy activation function · Character-level Penn Treebanktraining progressMixed

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