Interpolation between multi-dimensional histograms using a new non-linear moment morphing method
M. A. BaakCERN, CH-1211 Geneva 23, SwitzerlandS. GadatschNikhef, PO Box 41882, 1009 DB Amsterdam, The NetherlandsR. D. HarringtonSchool of Physics and Astronomy, University of Edinburgh, Mayfield Road, Edinburgh, EH9 3JZ, ScotlandW. VerkerkeNikhef, PO Box 41882, 1009 DB Amsterdam, The Netherlands
2014en
ABI
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.
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Cited by 20 references