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

M. Baak; S. Gadatsch; R. Harrington; W. Verkerke

doi:10.1016/j.nima.2014.10.033

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

M. Baak^*, S. Gadatsch, R. Harrington, W. Verkerke

^*Corresponding author for this work

School of Physics and Astronomy

Research output: Contribution to journal › Article › peer-review

Abstract

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. (C) 2014 Elsevier B.V. All rights reserved

Original language	English
Pages (from-to)	39-48
Number of pages	10
Journal	Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment
Volume	771
DOIs	https://doi.org/10.1016/j.nima.2014.10.033
Publication status	Published - 21 Jan 2015

Keywords / Materials (for Non-textual outputs)

Analysis
Distribution
Histogram
Interpolation
Simulation

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10.1016/j.nima.2014.10.033

Cite this

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title = "Interpolation between multi-dimensional histograms using a new non-linear moment morphing method",

abstract = "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. (C) 2014 Elsevier B.V. All rights reserved",

keywords = "Analysis, Distribution, Histogram, Interpolation, Simulation",

author = "M. Baak and S. Gadatsch and R. Harrington and W. Verkerke",

year = "2015",

month = jan,

day = "21",

doi = "10.1016/j.nima.2014.10.033",

language = "English",

volume = "771",

pages = "39--48",

journal = "Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment",

issn = "0168-9002",

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}

Interpolation between multi-dimensional histograms using a new non-linear moment morphing method. / Baak, M.; Gadatsch, S.; Harrington, R. et al.
In: Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 771, 21.01.2015, p. 39-48.

Research output: Contribution to journal › Article › peer-review

TY - JOUR

T1 - Interpolation between multi-dimensional histograms using a new non-linear moment morphing method

AU - Baak, M.

AU - Gadatsch, S.

AU - Harrington, R.

AU - Verkerke, W.

PY - 2015/1/21

Y1 - 2015/1/21

N2 - 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. (C) 2014 Elsevier B.V. All rights reserved

AB - 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. (C) 2014 Elsevier B.V. All rights reserved

KW - Analysis

KW - Distribution

KW - Histogram

KW - Interpolation

KW - Simulation

UR - https://www.scopus.com/pages/publications/84911396888

U2 - 10.1016/j.nima.2014.10.033

DO - 10.1016/j.nima.2014.10.033

M3 - Article

SN - 0168-9002

VL - 771

SP - 39

EP - 48

JO - Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment

JF - Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment

ER -

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

Abstract

Keywords / Materials (for Non-textual outputs)

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