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Legendre Memory Units: Continuous-Time Representation in Recurrent Neural Networks

NeurIPS 2019 · Architectures and efficiency › RNNs and normalization · approach: LSTM design and memory · 92 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
LMU instead of NRURNN with 468 state variables · psMNIST testaccuracy: 95.38 -> 97.15Helped
LMU instead of LSTM4-layer ~18k param RNN · Mackey-GlassNRMSE: 0.079 -> 0.054Helped
LMU instead of LSTM4-layer RNN · Mackey-Glasstraining time per epoch: 20.34 s -> 12.89 sHelped
interleave LSTM layers with LMU layers (hybrid) (ablation)LMU · Mackey-GlassNRMSE: 0.054 -> 0.050Helped
perturb diagonals of memory matrix A away from Pade/Legendre values (ablation)LMU · psMNISTtest accuracyHurt
LMU memory cell instead of LSTMcapacity task · capacity task T>=400test MSEHelped

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