Monotone Smoothing Splines with Bounds

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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.

Detaljer

Författare
Enheter & grupper
Forskningsområden

Ämnesklassifikation (UKÄ) – OBLIGATORISK

  • Beräkningsmatematik

Nyckelord

Originalspråkengelska
Sidor (från-till)613-627
Antal sidor15
TidskriftActa Applicandae Mathematicae
Volym169
Utgåva nummer1
Tidigt onlinedatum2020
StatusPublished - 2020 okt
PublikationskategoriForskning
Peer review utfördJa