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Complex Unitary Recurrent Neural Networks Using Scaled Cayley Transform
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use a complex scaled Cayley transform with trainable diagonal phases instead of a fixed discrete scaling matrix | scuRNN · MNIST | test accuracy: 0.973 -> 0.976 | Helped |
| Use a complex scaled Cayley transform with trainable diagonal phases instead of a fixed discrete scaling matrix | scuRNN · Permuted MNIST | test accuracy: 0.943 -> 0.949 | Helped |
| Use a complex scaled Cayley recurrent matrix | scuRNN · TIMIT validation | MSE: 4.76 -> 3.94; 2.64 -> 1.84 | Helped |
| Use a complex scaled Cayley recurrent matrix | scuRNN · TIMIT evaluation | MSE: 4.31 -> 3.56; 2.39 -> 1.67 | Helped |
| Use scuRNN rather than restricted-capacity uRNN or LSTM | Copying problem · T=2000 | cross entropy | Helped |
| Use scuRNN rather than scoRNN | Copying problem · T=1000 | cross entropy | No clear effect |
| Use scuRNN rather than scoRNN | Adding problem · T=200 | MSE | Helped |
| Use scuRNN rather than scoRNN | Adding problem · T=750 | MSE | Mixed |
| Constrain modReLU bias to remain nonpositive (ablation) | Complex unitary RNNs · MNIST | test accuracy | Hurt |
| Use RMSProp for A and D and other weights instead of the mixed optimizer configuration (ablation) | scuRNN · MNIST | test accuracy: 0.976 -> 0.956 | Hurt |
| Increase the learning rate for A from 10^-4 to 10^-3, using RMSProp for A, D, and other weights (ablation) | scuRNN · MNIST | test accuracy: 0.956 -> 0.913 | Hurt |
| 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 · MNIST | test accuracy: 0.956 -> 0.976 | No clear effect |
Closest papers by meaning
- Orthogonal Recurrent Neural Networks with Scaled Cayley Transform (ICML 2018 · similarity 0.96)
- Unitary Evolution Recurrent Neural Networks (ICML 2016 · similarity 0.89)
- Full-Capacity Unitary Recurrent Neural Networks (NeurIPS 2016 · similarity 0.89)
- Improved memory in recurrent neural networks with sequential non-normal dynamics (ICLR 2020 · similarity 0.88)
- Recurrent neural networks: vanishing and exploding gradients are not the end of the story (NeurIPS 2024 · similarity 0.86)
- Learning Useful Representations of Recurrent Neural Network Weight Matrices (ICML 2024 · similarity 0.85)
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