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Monotone Smoothing ...
Monotone Smoothing Splines with Bounds
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- Maad Sasane, Sara (författare)
- Lund University,Lunds universitet,Biomedical Modelling and Computation,Forskargrupper vid Lunds universitet,Matematik LTH,Matematikcentrum,Institutioner vid LTH,Lunds Tekniska Högskola,Lund University Research Groups,Mathematics (Faculty of Engineering),Centre for Mathematical Sciences,Departments at LTH,Faculty of Engineering, LTH
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(creator_code:org_t)
- 2020-02-03
- 2020
- Engelska 15 s.
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Ingår i: Acta Applicandae Mathematicae. - : Springer Science and Business Media LLC. - 0167-8019 .- 1572-9036. ; 169:1, s. 613-627
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Abstract
Ämnesord
Stäng
- 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.
Ämnesord
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
Nyckelord
- Algorithm
- Cumulative distribution function
- Curve fitting
- KKT conditions
- Monotone spline
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