SVD Approach to Data Unfolding

Details SVD Approach to Data Unfolding SVD Approach to Data Unfolding

1995-09-15

arxiv.org/abs/hep-ph/9509307v2

Nucl.Instrum.Meth.A372:469-481,1996

Physics

High Energy Physics

High Energy Physics - Phenomenology

22 pages

Scientific paper

10.1016/0168-9002(95)01478-0

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.

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