Smoothing P Splines

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Smoothing via Regression – Local vs Global Bases

  • B-splines
  • Penalties
  • Global bases can be ineffective
  • Local bases are attractive 


  • Dealing with non-normal data
  • Density estimation
  • Moving from GLM to P-spline
  • Variance smoothing 

Optimizing the Smoothing

  • Cross-validation, AIC
  • Error bands
  • Fidelity to the data vs smooth curve 

Multidimensional Smoothing

  • Generalized Addition Models
  • Tensor products
  • Varying coefficient models