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Learning the Number of Neurons in Deep Networks

NeurIPS 2016 · Architectures and efficiency › RNNs and normalization · approach: Representation geometry and collapse · 187 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
add group sparsity regularizer to learn neuron counts (ablation)BNetC · ImageNetTop-1 accuracy (%): 61.1 -> 62.7Helped
add group sparsity regularizer (ablation)Dec8 · ImageNetTop-1 accuracy (%): 64.8 -> 64.8No clear effect
start Dec8 with 640 neurons per layer and apply GS (ablation)Dec8-640 · ImageNetTop-1 accuracy (%): 66.9 -> 68.6Helped
start Dec8 with 768 neurons per layer and apply GS (ablation)Dec8-768 · ImageNetTop-1 accuracy (%): 68.1 -> 68.0Hurt
use sparse group Lasso instead of group sparsity (ablation)Dec8-640 · ImageNetTop-1 accuracy (%): 68.6 -> 67.5Hurt
overcomplete start (M=640 vs 512) before regularization (ablation)Dec8 · ImageNetTop-1 accuracy (%): 64.8 -> 68.6Helped
apply regularization: training-validation gap (ablation)Dec8-768 · ImageNettraining-validation gap (%): 14% -> 10%Helped
vary lambda_l in 0.051..0.51 (20 pairs) (ablation)Dec8-768 GS · ImageNetvalidation accuracy: std of 0.33%No clear effect
apply GS to Dec3 with 1D filters vs 2D kernelsDec3 · ICDARTop-1 accuracy: 83.8% -> 89.3%Helped
apply GS regularization (ablation)Dec3 · ICDARTop-1 accuracy: 89.3% -> 90.1%Helped
apply SGL regularization (ablation)Dec3 · ICDARTop-1 accuracy: 89.3% -> 89.9%Helped
remove zeroed neurons at test timeOurs-Dec3-GS · batch size 16 runtimerelative speed-up (%): 49.63Helped

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