Optics Letters · 2023 · 21 citations · 17 references
EngineeringComputational EngineeringElectrical EngineeringForecastingOptoelectronicsPhotonicsChaos TheoryReservoir ForecastingSemiconductor LasersTime Series ComputationTime Series ForecastingTime Series PredictionChaotic DynamicsChaotic Time Series AnalysisExternal-cavity LasersNonlinear Laser DynamicsNonlinear PhotonicsOptical Reservoir ComputingParameter SelectionParameter Space Exploration
Chaotic time series prediction has been paid intense attention in recent years due to its important applications. Herein, we present a single-node photonic reservoir computing approach to forecasting the chaotic behavior of external cavity semiconductor lasers using only observed data. In the reservoir, we employ a semiconductor laser with delay as the sole nonlinear physical node. By investigating the effect of the reservoir meta-parameters on the prediction performance, we numerically demonstrate that there exists an optimal meta-parameter space for forecasting optical-feedback-induced chaos. Simulation results demonstrate that using our method, the upcoming chaotic time series can be continuously predicted for a time period in excess of 2 ns with a normalized mean squared error lower than 0.1. This proposed method only utilizes simple nonlinear semiconductor lasers and thus offers a hardware-friendly approach for complex chaos prediction. In addition, this work may provide a roadmap for the meta-parameter selection of a delay-based photonic reservoir to obtain optimal prediction performance.
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Ridge Regression: Biased Estimation for Nonorthogonal Problems
Arthur E. Hoerl, Robert W. Kennard · Technometrics · 1970 · 8.9K citations
Statistical Science · 2010 · 2.4K citations · Full text