Papers › Next Generation Reservoir Computing

Next Generation Reservoir Computing

14 Jun 2021arXiv:2106.07688archive 2025-07-28

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

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.

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do_nvar quantinfo/ng-rc-paper-code/DoubleScrollNVAR-RK23.py official repository unverified MIT (permissive) · a2bf0edbaebd863c · report
find_err quantinfo/ng-rc-paper-code/LorenzConstLinQuadraticNVAR-NRMSE-vsTraintime.py official repository unverified MIT (permissive) · 89839651a9a0f904 · report
find_err quantinfo/ng-rc-paper-code/LorenzConstLinQuadraticNVARtimedelayNRMSE-RK23.py official repository unverified MIT (permissive) · d9793b72efea5300 · report
find_err quantinfo/ng-rc-paper-code/LorenzConstLinQuadraticNVARtimedelayReturnMap-RK23.py official repository unverified MIT (permissive) · 4beb5179f174f579 · report
lorenz quantinfo/ng-rc-paper-code/LorenzConstLinQuadraticNVAR-Noise.py official repository unverified MIT (permissive) · 54019732db0279c6 · report
lorenz quantinfo/ng-rc-paper-code/LorenzConstLinQuadraticNVARtimedelay-RK23.py official repository unverified MIT (permissive) · 8a5225640d787a1b · report
lorenz_nn quantinfo/ng-rc-paper-code/LorenzConstLinQuadraticNVAR-Noise.py official repository unverified MIT (permissive) · 0d3396b677068fb6 · report
return_map_spline quantinfo/ng-rc-paper-code/LorenzConstLinQuadraticNVARtimedelayReturnMap-RK23.py official repository unverified MIT (permissive) · 256ed8f20cd322cd · report

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