Implementation of a new Unfolding Procedure

Project Description

An Unfolding procedure based on a Mixture Density Model is used for correcting experimental data for distortions due to finite resolution and limited detector acceptance. The true distribution is estimated by a weighted sum of probability density functions with positive weights and with the width of the densities acting as a regularization parameter responsible for the smoothness of the result. To obtain better smoothing in less populated regions, the width parameter is chosen inversely proportional to the square root of the estimated density. Cross-validation is employed to determine the optimal values of the resolution and the method parameters. This approach is directly applicable to multidimensional problems.



Strong knowledge of C++11; being able to produce clean, reliable code; knowledge of basic statistics and numerical computation.


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