[HTML][HTML] Monotone smoothing splines with bounds
S Maad Sasane�- Acta Applicandae Mathematicae, 2020 - Springer
Acta Applicandae Mathematicae, 2020•Springer
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.
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.
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.
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