• Corpus ID: 221516536

Unfolding by Folding: a resampling approach to the problem of matrix inversion without actually inverting any matrix

@article{Vischia2020UnfoldingBF,
  title={Unfolding by Folding: a resampling approach to the problem of matrix inversion without actually inverting any matrix},
  author={Pietro Vischia},
  journal={ArXiv},
  year={2020},
  volume={abs/2009.02913}
}
Matrix inversion problems are often encountered in experimental physics, and in particular in high-energy particle physics, under the name of unfolding. The true spectrum of a physical quantity is deformed by the presence of a detector, resulting in an observed spectrum. If we discretize both the true and observed spectra into histograms, we can model the detector response via a matrix. Inferring a true spectrum starting from an observed spectrum requires therefore inverting the response matrix… 

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