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A Deeper Dive into Basis Function Expansion Models for Functional Data Analysis

All of the model fits in the JMP Pro Functional Data Explorer platform rely on basis function expansion, a method for capturing non-linear relationships using a set of independent functions. See how basis function models work for modeling functional data.  The videos cover:

  • B-Splines - Fits a basis spline (B-Spline) model to the data. Use the B-Spline model for non-periodic data.
  • P-Splines - Fits a penalized basis spline (P-Spline) model to the data.
  • Fourier Basis - Fits a Fourier Basis model to the data. Use the Fourier Basis model for periodic data. A periodic model assumes that the function finishes where it starts. See Fourier Basis Model.
  • Wavelets - Fits several wavelets models to the data. A Wavelets model is a type of basis function model that is useful for data that contain a lot of peaks. This option requires data to be on an evenly spaced grid. If data is not evenly spaced, a grid is automatically created before the wavelet routine.

Learn more about Basis Function Expansion models and see them demonstrated in JMP Pro.

 

For more information on Wavelets models, consider viewing A Deeper Dive into Wavelets Models for Functional Data Analysis

 

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