The energy minimization question can also be turned around

• Given ai and aj, how should we set the weight wji = wji so that the energy is minimized?

• ?E = - ½ ? ?wjiaiaj, so that

  • when aiaj = 1, wji must be positive
  • when aiaj = -1, wji must be negative

• For example, ?wji= ?aiaj, where ? is a learning constant