Schematic of inverse CDF sampling. From left to right: Estimated discrete PDF values using KDE or HE; Interpolated cumulative distribution function (CDF); Sampling data from the same distribution via inverse CDF sampling. Axes represent radians (x- (IMAGE)

Nuclear Science and Techniques

Schematic of inverse CDF sampling. From left to right: Estimated discrete PDF values using KDE or HE; Interpolated cumulative distribution function (CDF); Sampling data from the same distribution via inverse CDF sampling. Axes represent radians (x-

Caption

Inverse CDF sampling accurately preserves the global characteristics of muon scattering angle distributions by using the obtained overall scattering angle data. Compared with random sampling, it reduces statistical bias, improves physical consistency and stability of training samples, and leads to more reliable and accurate model predictions.

Credit

Liang-Wen Chen

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