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Parameter estimation for Gibbs distributions
[article]

2021
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arXiv
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pre-print

We consider Gibbs distributions, which are families of probability distributions over a discrete space Ω with probability mass function of the form μ^Ω_β(ω) ∝ e^β H(ω) for β in an interval [β_min, β_max] and H( ω ) ∈{0 }∪ [1, n]. The partition function is the normalization factor Z(β)=∑_ω∈Ωe^β H(ω). Two important parameters of these distributions are the log partition ratio q = logZ(β_max)Z(β_min) and the counts c_x = |H^-1(x)|. These are correlated with system parameters in a number of

arXiv:2007.10824v5
fatcat:qwpxu7k53nac3blbprmabtgo7i