Echo State Network k-fold cross-validation can be implemented with O(Nr^2 T + k Nr^3) time, so the dominant training cost stays constant in k for long time series.
Reservoir computing approaches to re- current neural network training
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Efficient Cross-Validation of Echo State Networks
Echo State Network k-fold cross-validation can be implemented with O(Nr^2 T + k Nr^3) time, so the dominant training cost stays constant in k for long time series.