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Exploiting Cyclic Symmetry in Convolutional Neural Networks

ICML 2016 · Architectures and efficiency › CNN design · approach: Steerable rotation-equivariant CNNs · 155 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
add cyclic slicing at input and mean cyclic pooling before output (ablation)plankton baseline CNN · Planktoncross-entropy (test): 0.7035 -> 0.6781Helped
add cyclic rolling layers after all conv layers and first dense layer (filters reduced 4x) (ablation)plankton network · Planktoncross-entropy (test): 0.7035 -> 0.6961 (slight improvement with 0.95M vs 2.84M params)Mixed
add rolling layer after first dense layer with units halved (ablation)plankton network · Planktoncross-entropy (test): 0.7035 -> 0.6764Helped
halve the filters in baseline (parameter-matched control) (ablation)plankton baseline · Planktoncross-entropy (test): 0.7035 -> 0.7462Hurt
add cyclic slicing and mean pooling (ablation)galaxies baseline CNN · GalaxiesRMSE (test): 0.08343 -> 0.08214Helped
add rolling layers (filters reduced 4x) (ablation)galaxies network · GalaxiesRMSE (test): 0.08343 -> 0.08261 with 6.84M params vs 14.57MHelped
add rolling layer after first dense layer with units halved (ablation)galaxies network · GalaxiesRMSE (test): 0.08343 -> 0.08200 at same 14.57M paramsHelped
halve filters in baseline (parameter-matched control) (ablation)galaxies baseline · GalaxiesRMSE (test): 0.08343 -> 0.08710Hurt
add cyclic slicing and mean pooling (ablation)Massachusetts buildings baseline · Massachusetts buildingsAUC (test): 0.9714 -> 0.9722Helped
add rolling layers with filters reduced 4x (ablation)Massachusetts buildings network · Massachusetts buildingsAUC (test): 0.9714 -> 0.9676 at 158k paramsHurt
add rolling layers with filters reduced 2x (ablation)Massachusetts buildings network · Massachusetts buildingsAUC (test): 0.9714 -> 0.9742 at 598k params (similar to baseline)Helped
choice of pooling function (mean vs max, RMS, with/without ReLU) (ablation)plankton pooling layer · Planktoncross-entropy (test): mean without ReLU best (0.6781); max+ReLU worst (0.7085)Mixed

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