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Exploiting Cyclic Symmetry in Convolutional Neural Networks
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| add cyclic slicing at input and mean cyclic pooling before output (ablation) | plankton baseline CNN · Plankton | cross-entropy (test): 0.7035 -> 0.6781 | Helped |
| add cyclic rolling layers after all conv layers and first dense layer (filters reduced 4x) (ablation) | plankton network · Plankton | cross-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 · Plankton | cross-entropy (test): 0.7035 -> 0.6764 | Helped |
| halve the filters in baseline (parameter-matched control) (ablation) | plankton baseline · Plankton | cross-entropy (test): 0.7035 -> 0.7462 | Hurt |
| add cyclic slicing and mean pooling (ablation) | galaxies baseline CNN · Galaxies | RMSE (test): 0.08343 -> 0.08214 | Helped |
| add rolling layers (filters reduced 4x) (ablation) | galaxies network · Galaxies | RMSE (test): 0.08343 -> 0.08261 with 6.84M params vs 14.57M | Helped |
| add rolling layer after first dense layer with units halved (ablation) | galaxies network · Galaxies | RMSE (test): 0.08343 -> 0.08200 at same 14.57M params | Helped |
| halve filters in baseline (parameter-matched control) (ablation) | galaxies baseline · Galaxies | RMSE (test): 0.08343 -> 0.08710 | Hurt |
| add cyclic slicing and mean pooling (ablation) | Massachusetts buildings baseline · Massachusetts buildings | AUC (test): 0.9714 -> 0.9722 | Helped |
| add rolling layers with filters reduced 4x (ablation) | Massachusetts buildings network · Massachusetts buildings | AUC (test): 0.9714 -> 0.9676 at 158k params | Hurt |
| add rolling layers with filters reduced 2x (ablation) | Massachusetts buildings network · Massachusetts buildings | AUC (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 · Plankton | cross-entropy (test): mean without ReLU best (0.6781); max+ReLU worst (0.7085) | Mixed |
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