A Hermite spline model for data regression

Rosanna Campagna, Mariantonia Cotronei and Domenico Fazzino

Mathematics and Computers in Simulation (MATCOM), 2025, vol. 229, issue C, 222-234

Abstract: This paper introduces a novel Hermite spline model for data regression, integrating both function values and derivatives along with a penalty term to control smoothness. A comparative analysis is conducted with conventional penalized models, specifically with P-spline models. The primary objective of this study is to empirically demonstrate the superior performance of the proposed model in reconstructing data, even in the absence of a penalty term (pure regression).

Keywords: Nonparametric regression; Smoothing; Penalized splines; Hermite splines (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:229:y:2025:i:c:p:222-234

DOI: 10.1016/j.matcom.2024.09.011

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