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A piecewise linear regression model ensemble for large-scale curve fitting

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IIT-24-088R (13.27Mb)
Date
2024-04-01
Author
Moreno Carbonell, Santiago
Sánchez Ubeda, Eugenio Francisco
Estado
info:eu-repo/semantics/publishedVersion
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Abstract
 
 
The Linear Hinges Model (LHM) is an efficient approach to flexible and robust one-dimensional curve fitting under stringent high-noise conditions. However, it was initially designed to run in a single-core processor, accessing the whole input dataset. The surge in data volumes, coupled with the increase in parallel hardware architectures and specialised frameworks, has led to a growth in interest and a need for new algorithms able to deal with large-scale datasets and techniques to adapt traditional machine learning algorithms to this new paradigm. This paper presents several ensemble alternatives, based on model selection and combination, that allow for obtaining a continuous piecewise linear regression model from large-scale datasets using the learning algorithm of the LHM. Our empirical tests have proved that model combination outperforms model selection and that these methods can provide better results in terms of bias, variance, and execution time than the original algorithm executed over the entire dataset.
 
URI
https:doi.org10.3390a17040147
A piecewise linear regression model ensemble for large-scale curve fitting
Tipo de Actividad
Artículos en revistas
ISSN
1999-4893
Materias/ categorías / ODS
Instituto de Investigación Tecnológica (IIT)
Palabras Clave

one-dimensional piecewise regression; non-linear regression; curve fitting; ensemble model; model selection; model combination; model parallelism
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