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

Research output: Contribution to journalArticlepeer-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 languageEnglish
Pages (from-to)39-48
Number of pages10
JournalNuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment
Volume771
DOIs
Publication statusPublished - 21 Jan 2015

Keywords

  • Analysis
  • Distribution
  • Histogram
  • Interpolation
  • Simulation

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