Higher order Boltzmann machines
(Sejnowski, ~1986)
The usual energy function is quadratic in the states:
But we could use higher order interactions:
Unit k acts as a switch. When unit k is on, it switches
in the pairwise interaction between unit i and unit j.
Units i and j can also be viewed as switches that
control the pairwise interactions between j and k
or between i and k.