Monotone smoothing splines with bounds
Optimization and Control
2020-01-22 v2
Abstract
The problem of monotone smoothing splines with bounds is formulated as a constrained minimization problem of the calculus of variations. Existence and uniqueness of solutions of this problem is proved, as well as the equivalence of it to a finite dimensional but nonlinear optimization problem. A new algorithm for computing the solution which is a spline curve, using a branch and bound technique, is presented. The method is applied to examples in neuroscience and for fitting cumulative distribution functions from data.
Cite
@article{arxiv.1909.06765,
title = {Monotone smoothing splines with bounds},
author = {Sara Maad Sasane},
journal= {arXiv preprint arXiv:1909.06765},
year = {2020}
}