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Research map / Architectures and efficiency / RNNs and normalization

Complex Unitary Recurrent Neural Networks Using Scaled Cayley Transform

AAAI 2019 · Architectures and efficiency › RNNs and normalization · approach: Efficient recurrent architectures · 25 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use a complex scaled Cayley transform with trainable diagonal phases instead of a fixed discrete scaling matrixscuRNN · MNISTtest accuracy: 0.973 -> 0.976Helped
Use a complex scaled Cayley transform with trainable diagonal phases instead of a fixed discrete scaling matrixscuRNN · Permuted MNISTtest accuracy: 0.943 -> 0.949Helped
Use a complex scaled Cayley recurrent matrixscuRNN · TIMIT validationMSE: 4.76 -> 3.94; 2.64 -> 1.84Helped
Use a complex scaled Cayley recurrent matrixscuRNN · TIMIT evaluationMSE: 4.31 -> 3.56; 2.39 -> 1.67Helped
Use scuRNN rather than restricted-capacity uRNN or LSTMCopying problem · T=2000cross entropyHelped
Use scuRNN rather than scoRNNCopying problem · T=1000cross entropyNo clear effect
Use scuRNN rather than scoRNNAdding problem · T=200MSEHelped
Use scuRNN rather than scoRNNAdding problem · T=750MSEMixed
Constrain modReLU bias to remain nonpositive (ablation)Complex unitary RNNs · MNISTtest accuracyHurt
Use RMSProp for A and D and other weights instead of the mixed optimizer configuration (ablation)scuRNN · MNISTtest accuracy: 0.976 -> 0.956Hurt
Increase the learning rate for A from 10^-4 to 10^-3, using RMSProp for A, D, and other weights (ablation)scuRNN · MNISTtest accuracy: 0.956 -> 0.913Hurt
Set D's RMSProp learning rate to 10^-4 rather than 10^-3, with A at 10^-4 and other weights at 10^-3 (ablation)scuRNN · MNISTtest accuracy: 0.956 -> 0.976No clear effect

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