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An alternative variable projection formulation for small-size separable models

delete2026-05-01
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PRE
AI
C
Costanza Conti
A
Annie Cuyt
W
Wen-shin Lee *
DOI：10.1007/s11075-025-02307-2delete
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Abstract

Abstract

En 中文
We consider several small-size Prony-like separable least squares interpolation problems in exponential, polynomial and mixed data fitting schemes, for which the variable projection objective function can easily be written down in closed form. An alternative formulation of variable projection is then applied to the closed form expression, yielding explicit formulas for the unknown parameters. The technique is especially useful in various exponential type spline generalizations where the free frequency parameter is otherwise mostly determined by trial and error.
Keywords:
Non-polynomial splines
Exponential splines
Parameter selection
Subdivision scheme
Prony problem
Variable projection

Journal

N
Numerical Algorithms
IF:
2
Papers:
185
Citations:
5.5K

Organization

U
University of Florence
Scholars:
691
Papers: 240
Citations: 0
U
University of Stirling
Scholars:
82
Papers: 45
Citations: 0
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