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http://hdl.handle.net/1893/38155| Appears in Collections: | Computing Science and Mathematics Journal Articles |
| Peer Review Status: | Refereed |
| Title: | An alternative variable projection formulation for small-size separable models |
| Author(s): | Conti, Costanza Cuyt, Annie Lee, Wen-shin |
| Contact Email: | wen-shin.lee@stir.ac.uk |
| Keywords: | Non-polynomial splines Exponential splines Parameter selection Subdivision scheme Prony problem Variable projection |
| Issue Date: | 25-May-2026 |
| Date Deposited: | 25-May-2026 |
| Citation: | Conti C, Cuyt A & Lee W (2026) An alternative variable projection formulation for small-size separable models. <i>Numerical Algorithms</i>. https://doi.org/10.1007/s11075-025-02307-2 |
| Abstract: | 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. |
| DOI Link: | 10.1007/s11075-025-02307-2 |
| Rights: | This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/. |
| Notes: | RESEARCH Numerical Algorithms |
| Licence URL(s): | http://creativecommons.org/licenses/by/4.0/ |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| s11075-025-02307-2.pdf | Fulltext - Published Version | 4.73 MB | Adobe PDF | View/Open |
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