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Deep Sets

NeurIPS 2017 · Point clouds › Point cloud classification · approach: Equivariant point cloud networks · 438 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Replace permutation-equivariant layers with fully connected layers after set pooling (ablation)DeepSets outlier detector · CelebA set anomaly detectionaccuracy: ~6.3% -> 75%Helped
Use image features to condition set model (non-blind vs blind) (ablation)DeepSets · COCO-TagRecall@10: 9.0 -> 31.4Helped
DeepSets vs w2v NN blind baselineDeepSets (blind) · COCO-TagMRR: 0.021 -> 0.044Helped
Increase point-cloud size from 100 to 5000 points (ablation)DeepSets · ModelNet40accuracy: 82 ± 2% -> 90 ± .3%Helped
DeepSets vs MLP on red-shift scatterDeepSets · Red-shiftscatter: 0.026 -> 0.023Helped
Sum pooling DeepSets vs max pooling NN-max (ablation)DeepSets · LDA-3kRecall@10: 5.30 -> 6.04Helped
DeepSets vs w2v-Near on small LDA-1kDeepSets · LDA-1kRecall@10: 6.00 -> 5.53Hurt
DeepSets vs w2v-Near on LDA-5kDeepSets · LDA-5kRecall@10: 4.03 -> 5.54Helped
DeepSets vs best competitor on ESPgame recallDeepSets · ESPgamerecall: 32 -> 34Helped
DeepSets vs best competitor on ESPgame precisionDeepSets · ESPgameprecision: 44 -> 39Hurt
DeepSets vs RNNs (LSTM, GRU) on digit sum with longer test setsDeepSets · Sum of digitsaccuracyHelped
DeepSets vs SDM on high-dimensional population statistics with many setsDeepSets · Entropy/mutual informationMSEMixed

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