Restricted Boltzmann machine

Machine learning is well known as self driving cars and P=NP. This treats huge numbers, so you need to reject infinity. You want practical machines. You may call it efficiency.

This is restricted because V and H are related but V1 and Vn are separated. H1 and Hm are also not connected.

E is the whole energy. ai and bj are bias because of uncertainty. Moreover, Wij=Wji is symmetry. This is the mathematical beauty.

As you know, image recognition is visibility. Therefore, you need only i.

P is possibility, and T is temperature. You need to cool your machine.

Euler–Lagrange equation

This is expansion.

Lagrange(L) is [kinetic energy - potential energy].

This is Newtonian Equation of motion.

The space move, but it is still zero.