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FSPool: Learning Set Representations with Featurewise Sort Pooling
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use FSPool with inverse sorting in place of an MLP set decoder and assignment-based loss | polygon auto-encoder · Rotating polygons, set sizes up to 128 | reconstruction error: 0.000 vs 1.272 (Chamfer loss, set size 16) | Helped |
| Replace the sum pooling readout with FSPool | CLEVR set encoder · CLEVR | accuracy: 99.05% ±0.17 -> 99.27% ±0.18 | Helped |
| Replace GIN's standard readout with FSPool | GIN · RDT-B | test accuracy: 84.8 ±1.7 -> 89.1 ±1.2 | Helped |
| Replace GIN's standard readout with FSPool | GIN · PTC | test accuracy: 59.9 ±2.4 -> 59.3 ±1.8 | Hurt |
| Replace GIN's standard readout with FSPool | GIN · graph classification datasets | epochs to best validation accuracy: FSPool takes fewer epochs on 6 of 9 datasets | Mixed |
| Replace sum pooling with FSPool | DSPN-RN set encoder · CLEVR bounding-box prediction | AP50: 87.2 ±3.0 -> 99.8 ±0.0 | Helped |
| Replace sum pooling with FSPool | DSPN-RN set encoder · CLEVR state prediction | AP∞: 30.2 ±9.2 -> 85.2 ±4.8 | Helped |
| Add a mask feature to distinguish present points from padding (ablation) | MNIST set auto-encoder · MNIST sets, σ=0.05 | test Chamfer loss (in 10 000ths): FSPool + FSUnpool 0.30 ±0.01; Sum + MLP 0.61 ±0.24 | Helped |
| Replace relaxed sorting with unrelaxed sorting at classification time (ablation) | FSPool model with frozen auto-encoder weights · Noisy MNIST classification | accuracy | No clear effect |
| Zero out the latent space (ablation) | FSPool polygon auto-encoder · Rotating polygons | ability to train | Hurt |
| Use a sum-pooling encoder and MLP decoder instead of FSPool and FSUnpool (ablation) | MNIST set auto-encoder · MNIST sets without mask feature | reconstruction quality: Chamfer loss: 0.44 ±0.01 vs 0.31 ±0.04 at σ=0.05 | Mixed |
| Set FSPool's piecewise-linear weight count to k=5 instead of k=20 (ablation) | GIN-FSPool · Graph classification datasets | test accuracy | Helped |
Closest papers by meaning
- Pooling by Sliced-Wasserstein Embedding (NeurIPS 2021 · similarity 0.87)
- Learning Representations of Sets through Optimized Permutations (ICLR 2019 · similarity 0.86)
- Stacking Deep Set Networks and Pooling by Quantiles (ICML 2024 · similarity 0.83)
- Polynomial Width is Sufficient for Set Representation with High-dimensional Features (ICLR 2024 · similarity 0.82)
- Cardinality-Aware Set Prediction and Top-$k$ Classification (NeurIPS 2024 · similarity 0.82)
- Exploring Diverse Representations for Open Set Recognition (AAAI 2024 · similarity 0.82)
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