Interpolation between multi-dimensional histograms using a new non-linear moment morphing method

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A prescription is presented for the interpolation between multi-dimensional distribution templates based on one or multiple model parameters. The technique uses a linear combination of templates, each created using fixed values of the model's parameters and transformed according to a specific p...

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Detalles Bibliográficos
Autores principales: Baak, Max, Gadatsch, Stefan, Harrington, Robert, Verkerke, Wouter
Lenguaje:eng
Publicado: 2014
Materias:
Other Fields of Physics
Acceso en línea:https://dx.doi.org/10.1016/j.nima.2014.10.033
http://cds.cern.ch/record/1958015
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author Baak, Max
Gadatsch, Stefan
Harrington, Robert
Verkerke, Wouter
author_facet Baak, Max
Gadatsch, Stefan
Harrington, Robert
Verkerke, Wouter
author_sort Baak, Max
collection CERN
description A prescription is presented for the interpolation between multi-dimensional distribution templates based on one or multiple model parameters. The technique uses a linear combination of templates, each created using fixed values of the model's parameters and transformed according to a specific procedure, to model a non-linear dependency on model parameters and the dependency between them. By construction the technique scales well with the number of input templates used, which is a useful feature in modern day particle physics, where a large number of templates is often required to model the impact of systematic uncertainties.
id cern-1958015
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2014
record_format invenio
spelling cern-19580152022-08-10T12:52:15Zdoi:10.1016/j.nima.2014.10.033http://cds.cern.ch/record/1958015engBaak, MaxGadatsch, StefanHarrington, RobertVerkerke, WouterInterpolation between multi-dimensional histograms using a new non-linear moment morphing methodOther Fields of PhysicsA prescription is presented for the interpolation between multi-dimensional distribution templates based on one or multiple model parameters. The technique uses a linear combination of templates, each created using fixed values of the model's parameters and transformed according to a specific procedure, to model a non-linear dependency on model parameters and the dependency between them. By construction the technique scales well with the number of input templates used, which is a useful feature in modern day particle physics, where a large number of templates is often required to model the impact of systematic uncertainties.A prescription is presented for the interpolation between multi-dimensional distribution templates based on one or multiple model parameters. The technique uses a linear combination of templates, each created using fixed values of the model's parameters and transformed according to a specific procedure, to model a non-linear dependency on model parameters and the dependency between them. By construction the technique scales well with the number of input templates used, which is a useful feature in modern day particle physics, where a large number of templates is often required to model the impact of systematic uncertainties.A prescription is presented for the interpolation between multi-dimensional distribution templates based on one or multiple model parameters. The technique uses a linear combination of templates, each created using fixed values of the model׳s parameters and transformed according to a specific procedure, to model a non-linear dependency on model parameters and the dependency between them. By construction the technique scales well with the number of input templates used, which is a useful feature in modern day particle physics, where a large number of templates are often required to model the impact of systematic uncertainties.NIMA57112arXiv:1410.7388NIMA57112oai:cds.cern.ch:19580152014-10-27
spellingShingle Other Fields of Physics
Baak, Max
Gadatsch, Stefan
Harrington, Robert
Verkerke, Wouter
Interpolation between multi-dimensional histograms using a new non-linear moment morphing method
title Interpolation between multi-dimensional histograms using a new non-linear moment morphing method
title_full Interpolation between multi-dimensional histograms using a new non-linear moment morphing method
title_fullStr Interpolation between multi-dimensional histograms using a new non-linear moment morphing method
title_full_unstemmed Interpolation between multi-dimensional histograms using a new non-linear moment morphing method
title_short Interpolation between multi-dimensional histograms using a new non-linear moment morphing method
title_sort interpolation between multi-dimensional histograms using a new non-linear moment morphing method
topic Other Fields of Physics
url https://dx.doi.org/10.1016/j.nima.2014.10.033
http://cds.cern.ch/record/1958015
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AT gadatschstefan interpolationbetweenmultidimensionalhistogramsusinganewnonlinearmomentmorphingmethod
AT harringtonrobert interpolationbetweenmultidimensionalhistogramsusinganewnonlinearmomentmorphingmethod
AT verkerkewouter interpolationbetweenmultidimensionalhistogramsusinganewnonlinearmomentmorphingmethod

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