Smoothing Spline - Related Methods

Related Methods

Smoothing splines are related to, but distinct from:

  • Regression splines. In this method, the data is fitted to a set of spline basis functions with a reduced set of knots, typically by least squares. No roughness penalty is used.
  • Penalized Splines. This combines the reduced knots of regression splines, with the roughness penalty of smoothing splines.
  • Elastic maps method for manifold learning. This method combines the least squares penalty for approximation error with the bending and stretching penalty of the approximating manifold and uses the coarse discretization of the optimization problem.

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