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Article
Title ARU – towards automatic unfolding of detector effects
Author(s) Dembinski, H P (Karlsruhe U., EKP ; KIT, Karlsruhe ; Karlsruhe, Forschungszentrum ; KIT, Karlsruhe) ; Roth, M (Karlsruhe U., EKP ; KIT, Karlsruhe)
Publication Geneva : CERN, 2011
Imprint 2011-01-17
Number of pages 7
In: Proceedings of the PHYSTAT 2011 Workshop on Statistical Issues Related to Discovery Claims in Search Experiments and Unfolding, pp.285-291
DOI 10.5170/CERN-2011-006.285
Subject category Particle Physics - Experiment ; Detectors and Experimental Techniques
Abstract This article presents the ARU algorithm, a general non-interactive algorithmfor the unfolding of detector effects (resolution effects, efficiency, non-linearresponse) from one-dimensional data distributions. ARU uses an unbinnedmaximum-likelihood fit with a weighted regularization term, based on the rel-ative information in the solution with respect to a reference distribution. Theoptimal regularization weight is found by minimizing the mean squared errorof the solution. The algorithm’s performance is demonstrated in a study of atoy data sets. The analysis shows that the bias on average is smaller than thestatistical uncertainties which are properly estimated by the fit.
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