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Powerset Convolutional Neural Networks

NeurIPS 2019 · Architectures and efficiency › CNN design · approach: Steerable rotation-equivariant CNNs · 5 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
use powerset convolutional layers instead of the strongest reported baselineset-function classification models · Patternstest classification accuracy (%): 65.5 ± 0.9 -> 88.5 ± 4.3Helped
use powerset convolutional layers instead of the strongest reported baselineset-function classification models · k-Juntatest classification accuracy (%): 95.8 ± 2.7 -> 97.5 ± 1.4Helped
use powerset convolutional layers instead of the strongest reported baselineset-function classification models · Submodularitytest classification accuracy (%): 89.8 ± 1.8 -> 88.6 ± 0.4Hurt
use powerset convolutional layers instead of the strongest reported baselinehypergraph classification models · COAUTH10test classification accuracy (%): 84.7 ± 0.9 -> 84.8 ± 0.3No clear effect
use powerset convolutional layers instead of the strongest reported baselinehypergraph classification models · CON10test classification accuracy (%): 67.2 ± 1.8 -> 68.7 ± 1.3Helped
use powerset convolutional layers instead of the strongest reported baselinehypergraph classification models · DOM4test classification accuracy (%): 96.0 ± 0.2 -> 94.8 ± 0.3Hurt
use powerset convolutional layers instead of the strongest reported baselinehypergraph classification models · DOM6test classification accuracy (%): 73.7 ± 0.4 -> 73.5 ± 0.5No clear effect
add pooling after each convolutional layer (ablation)*-PCN · Patternstest classification accuracy (%): 88.5 ± 4.3 -> 80.9 ± 0.9Hurt
add pooling and feature accumulation before the MLP (ablation)*-PCN · Patternstest classification accuracy (%): 88.5 ± 4.3 -> 75.9 ± 1.9Hurt
add pooling and feature accumulation before the MLP (ablation)diamond-PCN · k-Juntatest classification accuracy (%): 97.5 ± 1.4 -> 96.6 ± 0.7Hurt
add feature accumulation before the MLP to make the convolutional part shift-invariant (ablation)powerset CNNs · Submodularitytest classification accuracy (%): 88.6 ± 0.4 -> 87.0 ± 1.6; 80.9 ± 2.9Mixed
add pooling and feature accumulation before the MLP (ablation)*-PCN · DOM4test classification accuracy (%): 94.1 ± 0.3 -> 94.4 ± 0.3No clear effect

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