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Machine Learning Engineering Tool
The Machine Learning engineering tool uses a "Stokes-type" force formulation approximating the higher order force harmonics (2nd – 5th) by correlating them to powers of the linear force time series (Chen et al., 2018).
A Machine Learning Gaussian Process (GP) model (Tang et al., 2024) is used to expand the coefficients database established through our experimental and numerical tests, allowing predictions across a wider range of wave regimes.
The flowchart of the Stokes-Gaussian Process (Stokes-GP) Machine Learning engineering tool is given below.

The predicted and experimental nonlinear wave force on a monopile, for an example case, is given below.

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