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Kronecker Recurrent Units

ICML 2018 · Architectures and efficiency › RNNs and normalization · approach: Brain-inspired recurrent architectures · 9 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use KRU instead of FC uRNN (N=512)Pixel-by-pixel recurrent model · Permuted MNISTtest accuracy: 94.1 -> 94.5Helped
Use KRU instead of LSTMPixel-by-pixel recurrent model · Unpermuted MNISTtest accuracy: 97.8 -> 96.4Hurt
Use KRU instead of RNNCharacter-level Penn TreeBank model · Penn TreeBank character-leveltest BPC: 1.60 -> 1.60No clear effect
Use KRU-LSTM instead of LSTMCharacter-level Penn TreeBank model · Penn TreeBank character-leveltest BPC: 1.45 -> 1.47Hurt
Use KRU-LSTM instead of LSTMPolyphonic music model · JSB Choralestest average negative log-likelihood: 8.67 -> 8.54Helped
Use KRU-LSTM instead of RNNPolyphonic music model · Piano-miditest average negative log-likelihood: 9.03 -> 8.18Helped
Increase the soft-unitary regularization amplitude (ablation)KRU · JSB Chorales validationvalidation performanceMixed
Increase the soft-unitary regularization amplitude (ablation)KRU · Piano-midi validationvalidation performanceMixed
Increase the soft-unitary regularization amplitude beyond 1e-5 (ablation)KRU · TIMIT phoneme recognition validationvalidation errorHurt
Use a unitary-initialized, fixed recurrent matrix instead of learning the recurrent matrix (ablation)KRU · Copy memory, T=1000 and T=2000average cross entropyHelped
Use strict unitary recurrent models rather than soft-unitary KRURecurrent models · Adding problemlearning stabilityHurt

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