Smooth supersaturated models (SSM) are interpolation models in which
the underlying model size, and typically the degree, is higher than would
normally be used in statistics, but where the extra degrees of freedom
are used to make the model smooth.
I will describe the methodology regarding its application to smooth
models over non-standard regions. We perform a two stage design and
modelling strategy and apply our methodology in a complex example
taken from the literature of soap film smoothing. Time allowing,
I will explore the use of smooth models with boundary conditions
defined by algebraic expressions.
This is joint work with Ron Bates (Rolls-Royce), Peter Curtis (QMUL)
and Henry Wynn (LSE).