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Continueous vs binned variables as control variables in TMVA

Dear Experts,

I am working on particle identification using 1/beta. In theory, it is sqrt(m^2 + p^2)/p. Comparing the measured value with different values under different mass assumptions, one can find out the particle specie of the track.

I am wondering how to make use of momentum and beta information. Given the momentum of a particle, 1/beta is meaningful. Momentum is more likely to be a control variable other than discriminating variable. Should I put momentum as a training variable inside the TMVA? Or should I bin the momentum and treat 1/beta as training variable solely? Is there a way to training on continuous variable instead of binning them in TMVA?

Many thanks in advance!