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Assignment inference improvment - #3

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tihsu99 wants to merge 11 commits into
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tihsu_assignment
Open

Assignment inference improvment#3
tihsu99 wants to merge 11 commits into
mainfrom
tihsu_assignment

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@tihsu99

@tihsu99 tihsu99 commented Jun 12, 2026

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Inference previously assumed at most two resonances, leaving cases with R >= 3 incorrectly interpreted.

  1. Assignment probability

    Shared resonance symmetry was previously ignored. For R resonances and daughter-symmetry order G:

    $$p(a) \sim \frac{1}{RG}$$

    Applying only the original G correction gives a peak at 1/R. Inference now uses:

    $$RG,p(a) \sim 1$$

  2. Jet masking

    Padded jet indices (-1) previously participated in masking and could suppress valid assignments. These indices are now ignored.

  3. Detection probability

    The previous recursive interpretation was only valid for R <= 2. It is replaced by:

    $$P(N \ge r) = \sum_{k=r}^{R_{\max}} P(N=k)$$

    This correctly supports any configured resonance multiplicity.

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