A Step Forward to Formalize Tailored to Problem Specificity Mathematical Transforms

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dc.contributor.authorGlaría, Antonio
dc.contributor.authorSalas, Rodrigo
dc.contributor.authorChabert, Stéren
dc.contributor.authorRoncagliolo, Pablo
dc.contributor.authorArriola, Alexis
dc.contributor.authorTapia, Gonzalo
dc.contributor.authorSalinas, Matías
dc.contributor.authorZepeda, Herman
dc.contributor.authorTaramasco, Carla
dc.contributor.authorOshinubi, Kayode
dc.contributor.authorDemongeot, Jacques
dc.date.accessioned2023-07-17T17:09:13Z
dc.date.available2023-07-17T17:09:13Z
dc.date.issued2022-06
dc.descriptionIndexación: Scopuses
dc.description.abstractLinear functional analysis historically founded by Fourier and Legendre played a significant role to provide a unified vision of mathematical transformations between vector spaces. The possibility of extending this approach is explored when basis of vector spaces is built Tailored to the Problem Specificity (TPS) and not from the convenience or effectiveness of mathematical calculations. Standardized mathematical transformations, such as Fourier or polynomial transforms, could be extended toward TPS methods, on a basis, which properly encodes specific knowledge about a problem. Transition between methods is illustrated by comparing what happens in conventional Fourier transform with what happened during the development of Jewett Transform, reported in previous articles. The proper use of computational intelligence tools to perform Jewett Transform allowed complexity algorithm optimization, which encourages the search for a general TPS methodology. Copyright © 2022 Glaría, Salas, Chabert, Roncagliolo, Arriola, Tapia, Salinas, Zepeda, Taramasco, Oshinubi and Demongeot.es
dc.description.urihttps://www.frontiersin.org/articles/10.3389/fams.2022.855862/full
dc.identifier.citationFrontiers in Applied Mathematics and Statistics Volume 820 June 2022 Article number 855862es
dc.identifier.doi10.3389/fams.2022.855862
dc.identifier.issn2297-4687
dc.identifier.urihttps://repositorio.unab.cl/xmlui/handle/ria/51699
dc.language.isoenes
dc.publisherFrontiers Media S.A.es
dc.rights.licenseAtribución 4.0 Internacional (CC BY 4.0)
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/deed.es
dc.subjectDynalet transformes
dc.subjectELMes
dc.subjectMathematical transformses
dc.subjectModel-based data processinges
dc.subjectNon-orthogonal basises
dc.titleA Step Forward to Formalize Tailored to Problem Specificity Mathematical Transformses
dc.typeArtículoes
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