Alternative Definitions of Complexity for Practical Applications of Model Selection Criteria

Defining and quantifying complexity is one of the major challenges of modern science and contemporary societies. This task is particularly critical for model selection, which is aimed at properly identifying the most adequate equations to interpret the available data. The traditional solution of equ...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Murari Andrea, Riccardo Rossi, Teddy Craciunescu
Formato:	article
Lenguaje:	EN
Publicado:	Hindawi-Wiley 2021
Materias:	Electronic computers. Computer science QA75.5-76.95
Acceso en línea:	https://doaj.org/article/1bcb2024796e423b9c083749a3448a0f
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:1bcb2024796e423b9c083749a3448a0f
record_format	dspace
spelling	oai:doaj.org-article:1bcb2024796e423b9c083749a3448a0f2021-11-15T01:20:01ZAlternative Definitions of Complexity for Practical Applications of Model Selection Criteria1099-052610.1155/2021/8887171https://doaj.org/article/1bcb2024796e423b9c083749a3448a0f2021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/8887171https://doaj.org/toc/1099-0526Defining and quantifying complexity is one of the major challenges of modern science and contemporary societies. This task is particularly critical for model selection, which is aimed at properly identifying the most adequate equations to interpret the available data. The traditional solution of equating the complexity of the models to the number of their parameters is clearly unsatisfactory. Three alternative approaches are proposed in this work. The first one estimates the flexibility of the proposed models to quantify their potential to overfit. The second interprets complexity as lack of stability and is implemented by computing the variations in the predictions due to uncertainties in their parameters. The third alternative is focused on assessing the consistency of extrapolation of the candidate models. All the upgrades are easy to implement and typically outperform the traditional versions of model selection criteria and constitute a good set of alternatives to be deployed, depending on the priorities of the investigators and the characteristics of the application.Murari AndreaRiccardo RossiTeddy CraciunescuHindawi-WileyarticleElectronic computers. Computer scienceQA75.5-76.95ENComplexity, Vol 2021 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Electronic computers. Computer science QA75.5-76.95
spellingShingle	Electronic computers. Computer science QA75.5-76.95 Murari Andrea Riccardo Rossi Teddy Craciunescu Alternative Definitions of Complexity for Practical Applications of Model Selection Criteria
description	Defining and quantifying complexity is one of the major challenges of modern science and contemporary societies. This task is particularly critical for model selection, which is aimed at properly identifying the most adequate equations to interpret the available data. The traditional solution of equating the complexity of the models to the number of their parameters is clearly unsatisfactory. Three alternative approaches are proposed in this work. The first one estimates the flexibility of the proposed models to quantify their potential to overfit. The second interprets complexity as lack of stability and is implemented by computing the variations in the predictions due to uncertainties in their parameters. The third alternative is focused on assessing the consistency of extrapolation of the candidate models. All the upgrades are easy to implement and typically outperform the traditional versions of model selection criteria and constitute a good set of alternatives to be deployed, depending on the priorities of the investigators and the characteristics of the application.
format	article
author	Murari Andrea Riccardo Rossi Teddy Craciunescu
author_facet	Murari Andrea Riccardo Rossi Teddy Craciunescu
author_sort	Murari Andrea
title	Alternative Definitions of Complexity for Practical Applications of Model Selection Criteria
title_short	Alternative Definitions of Complexity for Practical Applications of Model Selection Criteria
title_full	Alternative Definitions of Complexity for Practical Applications of Model Selection Criteria
title_fullStr	Alternative Definitions of Complexity for Practical Applications of Model Selection Criteria
title_full_unstemmed	Alternative Definitions of Complexity for Practical Applications of Model Selection Criteria
title_sort	alternative definitions of complexity for practical applications of model selection criteria
publisher	Hindawi-Wiley
publishDate	2021
url	https://doaj.org/article/1bcb2024796e423b9c083749a3448a0f
work_keys_str_mv	AT murariandrea alternativedefinitionsofcomplexityforpracticalapplicationsofmodelselectioncriteria AT riccardorossi alternativedefinitionsofcomplexityforpracticalapplicationsofmodelselectioncriteria AT teddycraciunescu alternativedefinitionsofcomplexityforpracticalapplicationsofmodelselectioncriteria
_version_	1718428910130036736

Alternative Definitions of Complexity for Practical Applications of Model Selection Criteria

Ejemplares similares