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Non-normal Recurrent Neural Network (nnRNN): learning long time dependencies while improving expressivity with transient dynamics

NeurIPS 2019 · Architectures and efficiency › RNNs and normalization · approach: RNN training dynamics and gradients · 19 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use nnRNN's Schur-form recurrent connectivity with non-normal termsRNN on PTB character prediction · PTB test, T=300, fixed hidden unitsBPC: 1.55 $\pm$ 0.001 -> 1.49 $\pm$ 0.002Helped
Use nnRNN's Schur-form recurrent connectivity with non-normal termsRNN on PTB character prediction · PTB test, T=150, fixed parametersBPC: 1.49 $\pm$ 0.008 -> 1.47 $\pm$ 0.003Helped
Use nnRNN instead of orthogonal RNNCopy task · Copy task, T=200cross-entropy lossNo clear effect
Use nnRNN instead of orthogonal RNNPermuted sequential MNIST · Permuted sequential MNISTaccuracyNo clear effect
Clamp gamma at 1 rather than use regularized, optimized gamma (ablation)nnRNN · PTB test, T=150BPC: 1.47 $\pm$ 0.003 -> 1.46 $\pm$ 0.005*Mixed
Clamp gamma at 1 rather than use regularized, optimized gamma (ablation)nnRNN · PTB test, T=300BPC: 1.49 $\pm$ 0.002 -> 1.49 $\pm$ 0.022**Mixed
Clamp gamma at 0.958 rather than use regularized, optimized gamma (ablation)nnRNN · PTB test, T=150BPC: 1.47 $\pm$ 0.003 -> 1.47 $\pm$ 0.005No clear effect
Clamp gamma at 0.958 rather than use regularized, optimized gamma (ablation)nnRNN · PTB test, T=300BPC: 1.49 $\pm$ 0.002 -> 1.49 $\pm$ 0.008No clear effect

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