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Next Generation Reservoir Computing

About

Reservoir computing is a best-in-class machine learning algorithm for processing information generated by dynamical systems using observed time-series data. Importantly, it requires very small training data sets, uses linear optimization, and thus requires minimal computing resources. However, the algorithm uses randomly sampled matrices to define the underlying recurrent neural network and has a multitude of metaparameters that must be optimized. Recent results demonstrate the equivalence of reservoir computing to nonlinear vector autoregression, which requires no random matrices, fewer metaparameters, and provides interpretable results. Here, we demonstrate that nonlinear vector autoregression excels at reservoir computing benchmark tasks and requires even shorter training data sets and training time, heralding the next generation of reservoir computing.

Daniel J. Gauthier, Erik Bollt, Aaron Griffith, Wendson A.S. Barbosa• 2021

Related benchmarks

TaskDatasetResultRank
ForecastingLorenz-96 N=40 (test)
RMSE h=40.665
17
Forecastingnon-pharyngeal C. elegans calcium recordings (test)
RMSE (h=4)1.168
10
SST forecastingGLORYS12 V1 (test)
MSE0.043
8
Structural recoveryLorenz-96 N=40
Local/Nonlocal Ratio1.88
7
Forecastingdouble-scroll system
NRMSE158.7
3
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