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Joint distribution

The restricted Boltzmann machine is described by a Boltzmann distribution

Prbm(x,h,Θ)=1Z(Θ)exp(E(x,h,Θ)),

where Z is the normalization constant or partition function discussed earlier and defined as

Z(Θ)=expE(x,h,Θ)dxdh.

It is common to set the temperature T to one. It is omitted in the equations above. The energy is thus a dimensionless function.