Interpolation between multi-dimensional histograms using a new non-linear moment morphing method
Data Analysis, Statistics and Probability
2014-10-29 v1 High Energy Physics - Experiment
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 is often required to model the impact of systematic uncertainties.
Cite
@article{arxiv.1410.7388,
title = {Interpolation between multi-dimensional histograms using a new non-linear moment morphing method},
author = {Max Baak and Stefan Gadatsch and Robert Harrington and Wouter Verkerke},
journal= {arXiv preprint arXiv:1410.7388},
year = {2014}
}
Comments
20 pages, 6 figures. Algorithm publicly available in RooFit