Monotone Smoothing Splines with Bounds
(2020) In Acta Applicandae Mathematicae 169(1). p.613-627- 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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/a725db13-a9a6-4580-9b19-ded4791bfd89
- author
- Maad Sasane, Sara LU
- organization
- publishing date
- 2020-10
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Algorithm, Cumulative distribution function, Curve fitting, KKT conditions, Monotone spline
- in
- Acta Applicandae Mathematicae
- volume
- 169
- issue
- 1
- pages
- 15 pages
- publisher
- Springer
- external identifiers
-
- scopus:85078892556
- ISSN
- 0167-8019
- DOI
- 10.1007/s10440-020-00314-0
- language
- English
- LU publication?
- yes
- id
- a725db13-a9a6-4580-9b19-ded4791bfd89
- date added to LUP
- 2020-02-18 14:53:28
- date last changed
- 2022-05-12 00:40:30
@article{a725db13-a9a6-4580-9b19-ded4791bfd89,
abstract = {{<p>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.</p>}},
author = {{Maad Sasane, Sara}},
issn = {{0167-8019}},
keywords = {{Algorithm; Cumulative distribution function; Curve fitting; KKT conditions; Monotone spline}},
language = {{eng}},
number = {{1}},
pages = {{613--627}},
publisher = {{Springer}},
series = {{Acta Applicandae Mathematicae}},
title = {{Monotone Smoothing Splines with Bounds}},
url = {{http://dx.doi.org/10.1007/s10440-020-00314-0}},
doi = {{10.1007/s10440-020-00314-0}},
volume = {{169}},
year = {{2020}},
}