maxsmooth: Rapid Maximally Smooth Function Fitting With Applications in Global 21-cm Cosmology

Understand

Maximally Smooth Functions (MSFs) are a form of constrained functions in which there are no inflection points or zero crossings in high order derivatives.

• Consequently, they have applications to signal recovery in experiments where signals of interest are expected to be non-smooth features masked by larger smooth signals or foregrounds.
• They can also act as a powerful tool for diagnosing the presence of systematics.
• The constrained nature of MSFs makes fitting these functions a non-trivial task.