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SVD Approach to Data Unfolding

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arxiv hep-ph/9509307 v2 pith:M3JXBLWU submitted 1995-09-15 hep-ph

classification hep-ph
keywords matrixunfoldingdistributionsmethodregularizationseveralvaluealgorithm
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Explicit or Implicit? Encoding Physics at the Precision Frontier

    hep-ph 2026-03 conditional novelty 6.0 of 10

    On three precision classification tasks — reweighting-based unfolding, likelihood-ratio estimation, and weakly supervised anomaly detection — a Lorentz-equivariant transformer and a pretrained foundation model perform...

  2. Simulation-Prior Independent Neural Unfolding Procedure

    hep-ph 2025-07 conditional novelty 6.0 of 10

    SPINUP is a neural-unfolding method that fits a parton-level generative model directly to detector-level data through a learned forward simulator, aiming to remove the simulation-prior bias.

  3. Measurement of $\pi^0$ Production in $\bar{\nu}_{\mu}$ Charged-Current Interactions in the NOvA Near Detector

    hep-ex 2025-11 unverdicted novelty 5.0 of 10

    The most precise measurement to date of antineutrino-induced neutral pion production shows agreement with the GENIE model but indicates that other models underestimate the cross section in the Delta(1232) resonance region.

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