SVD approach to data unfolding

Höcker, Andreas and Kartvelishvili, Vakhtang (1996) SVD approach to data unfolding. Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, 372 (3). pp. 469-481. ISSN 0168-9002

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Abstract

Distributions measured in high energy physics experiments are usually distorted and/or transformed by various detector effects. A regularization method for unfolding these distributions is re-formulated in terms of the Singular Value Decomposition (SVD) of the response matrix. A relatively simple, yet quite efficient unfolding procedure is explained in detail. The concise linear algorithm results in a straightforward implementation with full error propagation, including the complete covariance matrix and its inverse. Several improvements upon widely used procedures are proposed, and recommendations are given how to simplify the task by the proper choice of the matrix. Ways of determining the optimal value of the regularization parameter are suggested and discussed, and several examples illustrating the use of the method are presented.

Item Type: Journal Article
Journal or Publication Title: Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment
Uncontrolled Keywords: /dk/atira/pure/subjectarea/asjc/3100/3106
Subjects:
Departments: Faculty of Science and Technology > Physics
ID Code: 65055
Deposited By: ep_importer_pure
Deposited On: 10 Jun 2013 10:02
Refereed?: Yes
Published?: Published
Last Modified: 05 Oct 2019 03:49
URI: https://eprints.lancs.ac.uk/id/eprint/65055

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