Research map / Learning theory and algorithms / Matrix and tensor methods
A Random Matrix Approach to Echo-State Neural Networks
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Replace single Haar reservoir with multi-memory block-diagonal Haar W | linear ESN reservoir · Mackey-Glass one-step prediction | testing NMSE | Helped |
| Use non-normal (i.i.d.) reservoir instead of symmetric Wigner reservoir (ablation) | linear ESN reservoir · Mackey-Glass delay-τ memorization task | training and testing NMSE | Helped |
| Add small internal noise with optimal η² (trade-off with regularization effect) (ablation) | linear ESN with internal noise · Mackey-Glass one-step prediction with 1% or 10% impulsive noise in test inputs | testing NMSE | Helped |
| Choose input vector m as a leading eigenvector of W | linear ESN · theory (referenced to extended version) | testing MSE | Hurt |
| Reduce η² below ~n^(-1/2) (theory approximation regime) | linear ESN theory accuracy · Mackey-Glass one-step prediction | accuracy of deterministic approximation | Hurt |
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