Any network model that use Mc Culloch & Pitts model must use a bias, as it is described in any good explanation.
The bias permit to shift the activation (or transfert) function, along x axis.
The common way to implement it is to add a constant input (1 or -1 usually) in input vector of each node and make its weight (i.e the bias) evolve like any other weight.
An analogy in 2D : the bias is like c in the line equation a.x+b.y+c=0
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