0
$\begingroup$

I'm trying to calculate total energy of a system $$ E(v, h) = -\sum a_iv_i - \sum b_jh_j - \sum_{i,j} v_ih_jw_{ij} $$ Python equivalent looks like this

def energy(v, h, a, b, w):
    v_h = np.outer(v, h)
    return -np.sum(a*v) - np.sum(b*h) - np.sum(np.multiply(v_h, w))

But when it comes to the partition function $$ Z = \sum_{v,h}e^{-E(v,h)} $$ (summing over all possible pairs of visible and hidden vectors). How do I get all these pairs? Is it all possible combinations for all available binary states for v and h vectors? I'm not sure where should I obtain these other states.

Let's assume my v = np.array([1, 0, 0, 0, 1, 1]) and h = np.array([1, 1]), what the expected result should be?

$\endgroup$
  • $\begingroup$ I think one can only know the number of particles with some set of properties, not which particle has which properties. So one needs to avoid overcounting. $\endgroup$ – Emil Feb 7 at 18:37

Your Answer

By clicking "Post Your Answer", you acknowledge that you have read our updated terms of service, privacy policy and cookie policy, and that your continued use of the website is subject to these policies.

Browse other questions tagged or ask your own question.