1996
DOI: 10.1016/0168-9002(95)01478-0
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SVD approach to data unfolding

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 i… Show more

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Cited by 556 publications
(520 citation statements)
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“…These values contain the information needed to transform the measured distribution into the unfolded spectrum, along with statistical uncertainties from fluctuations. Not all SV are relevant; non-significant values have zero mean and standard deviation equal to unity [27]. Using toy simulations, we find that seven SV have to be kept with events distributed over ten bins.…”
Section: B Background Rejectionmentioning
confidence: 99%
See 1 more Smart Citation
“…These values contain the information needed to transform the measured distribution into the unfolded spectrum, along with statistical uncertainties from fluctuations. Not all SV are relevant; non-significant values have zero mean and standard deviation equal to unity [27]. Using toy simulations, we find that seven SV have to be kept with events distributed over ten bins.…”
Section: B Background Rejectionmentioning
confidence: 99%
“…To obtain the unfolded q 2 distribution for signal events, corrected for resolution and acceptance effects, the Singular Value Decomposition (SVD) [27] of the resolution matrix has been used. This method uses a two-dimensional matrix which relates the generated q 2 distribution to the detected distribution, q 2 r , as input.…”
Section: B Background Rejectionmentioning
confidence: 99%
“…The latter two correction steps, correcting background fluctuations and detector effects, are applied in the unfolding procedure. For the shown results, the Singular Value Decomposition [6] method was used. Bayesian and χ 2 unfolding were used for systematic comparisons and checks.…”
Section: Pos(eps-hep 2013)176mentioning
confidence: 99%
“…The unfolding was performed by calculating a detector response matrix, which represents a linear transformation of the hadron-level two-dimensional distribution of φ -p T,jet or β -p T,jet to a detector-level distribution. The unfolding procedure was based on the regularised inversion of the response matrix using Singular Value Decomposition (SVD) as implemented in the TSVDUnfold package [16]. The regularisation parameter was determined according to the procedure suggested by the authors of the unfolding package.…”
Section: Pos(dis2015)062mentioning
confidence: 99%