I'm trying to understand Boltzmann machines. Tutorials explain it with two formulas.
Logistic function for the probability of single units:
$$p(unit=1)=\frac{1}{1+e^{-\sum_{x}wx } }$$
and, when the machine is running, every state of the machine goes to the probability:
$$p(State= state\ with\ energy\ E_i )=\frac{e^{-E_i}}{\sum_i e^{-E_i}}$$
So, the state depends on the units, and then, if I understand correctly, the second formula is a consequence of the first.
So, how can it be the proof that the distribution of $p(state)$ is a consequence of $p(unit)$?
