Unfolding problem clarification and solution validation

TL;DR

This paper discusses the unfolding problem in experimental data correction, proposing a new validation method and emphasizing the importance of residual analysis, with a focus on entropy-based conservative approaches when multiple solutions satisfy validation criteria.

Contribution

Introduces a novel validation approach for unfolding solutions and highlights the role of entropy and residual analysis in ensuring reliable data correction.

Findings

Multiple unfolded solutions can satisfy validation criteria.

Entropy-based methods provide conservative solutions.

Residual analysis is crucial for validating unfolding results.

Abstract

The unfolding problem formulation for correcting experimental data distortions due to finite resolution and limited detector acceptance is discussed. A novel validation of the problem solution is proposed. Attention is drawn to fact that different unfolded distributions may satisfy the validation criteria, in which case a conservative approach using entropy is suggested. The importance of analysis of residuals is demonstrated.