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FSPool: Learning Set Representations with Featurewise Sort Pooling

ICLR 2020 · Label-efficient and robust learning › Recognition and long-tail · approach: Contrastive representation theory · 54 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use FSPool with inverse sorting in place of an MLP set decoder and assignment-based losspolygon auto-encoder · Rotating polygons, set sizes up to 128reconstruction error: 0.000 vs 1.272 (Chamfer loss, set size 16)Helped
Replace the sum pooling readout with FSPoolCLEVR set encoder · CLEVRaccuracy: 99.05% ±0.17 -> 99.27% ±0.18Helped
Replace GIN's standard readout with FSPoolGIN · RDT-Btest accuracy: 84.8 ±1.7 -> 89.1 ±1.2Helped
Replace GIN's standard readout with FSPoolGIN · PTCtest accuracy: 59.9 ±2.4 -> 59.3 ±1.8Hurt
Replace GIN's standard readout with FSPoolGIN · graph classification datasetsepochs to best validation accuracy: FSPool takes fewer epochs on 6 of 9 datasetsMixed
Replace sum pooling with FSPoolDSPN-RN set encoder · CLEVR bounding-box predictionAP50: 87.2 ±3.0 -> 99.8 ±0.0Helped
Replace sum pooling with FSPoolDSPN-RN set encoder · CLEVR state predictionAP∞: 30.2 ±9.2 -> 85.2 ±4.8Helped
Add a mask feature to distinguish present points from padding (ablation)MNIST set auto-encoder · MNIST sets, σ=0.05test Chamfer loss (in 10 000ths): FSPool + FSUnpool 0.30 ±0.01; Sum + MLP 0.61 ±0.24Helped
Replace relaxed sorting with unrelaxed sorting at classification time (ablation)FSPool model with frozen auto-encoder weights · Noisy MNIST classificationaccuracyNo clear effect
Zero out the latent space (ablation)FSPool polygon auto-encoder · Rotating polygonsability to trainHurt
Use a sum-pooling encoder and MLP decoder instead of FSPool and FSUnpool (ablation)MNIST set auto-encoder · MNIST sets without mask featurereconstruction quality: Chamfer loss: 0.44 ±0.01 vs 0.31 ±0.04 at σ=0.05Mixed
Set FSPool's piecewise-linear weight count to k=5 instead of k=20 (ablation)GIN-FSPool · Graph classification datasetstest accuracyHelped

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