Growth Curves

A Semiparametric Nonlinear Mixed Effects Model with Penalized Splines Using Automatic Differentiation

Matteo D'Alessandro, Magne Thoresen, Øystein Sørensen

We present an estimation procedure for nonlinear mixed-effects models in which the population trajectory is represented by penalized splines and adapted to individuals via subject-specific transformation parameters. Exact derivatives are obtained via automatic differentiation implemented through Template Model Builder. arXiv preprint.

• nonlinear mixed effects
• penalized splines
• automatic differentiation
• Template Model Builder
• Laplace approximation
• growth curves