Model Browser User's Guide

Truncated Power Series Basis (TPSBS) Splines

A very general class of spline functions with arbitrary (but strictly increasing) knot sequence:

:

This defines a spline of order m with knot sequence

For this model class, response features can be chosen as

• Fit constants
• Knot position vector .
• Value of the fit function
  
  at a user-specified value
  
  
• Value of the n^th derivative of the fit function with respect to x_j
  
  at a user-specified value
  
  , with n = 1, 2, ..., m-2

Any of the polynomial terms can be removed from the model.

Polynomial Splines

Free Knot Splines