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Regularizing Towards Permutation Invariance In Recurrent Models

NeurIPS 2020 · Architectures and efficiency › RNNs and normalization · approach: RNN training dynamics and gradients · 7 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Add SIRE regularization to an RNNModelNet40 point-cloud classification · ModelNet40, 100 ptsaccuracy: 0.825 -> 0.835Helped
Add SIRE regularization to an RNNModelNet40 point-cloud classification · ModelNet40, 1000 ptsaccuracy: 0.872 -> 0.878Helped
Use SIRE instead of DeepSetsModelNet40 point-cloud classification · ModelNet40, 5000 ptsaccuracy: 0.90 vs 0.899Mixed
Add SIRE regularization with λ = 0.01RNN · Half-range, sequence length 10accuracy: 0.9346 (0.006) -> 0.9584 (0.008)Helped
Add SIRE regularization with λ = 0.01RNN · Half-range, sequence length 15accuracy: 0.9461 (0.001) -> 0.9658 (0.008)Helped
Add SIRE regularization with λ = 0.01RNN · Half-range, sequence length 20accuracy: 0.9678 (0.005) -> 0.9780 (0.004)Helped
Add SIRE regularization to the GRUGRU · Locally Perturbed MNISTaccuracy: 0.833 -> 0.977Helped
Add SIRE regularization to an RNNArithmetic sum task · Sequences of integers, lengths 5 to 30zero-one errorHelped
Add SIRE regularization to an RNNArithmetic range task · Sequences of integers, lengths 5 to 30zero-one errorMixed
Add SIRE regularization to an RNNArithmetic variance task · Sequences of integers, lengths 5 to 30RMSEHelped
Use π-SGD for the variance taskPermutation-invariant sequence modeling · Arithmetic variance tasktraining errorHurt
Use a recurrent model rather than DeepSets for parityParity classification · Boolean sequences, training lengths up to 10 and test lengths up to 100accuracyHelped

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