title: Is it possible for a Hopfield network to have a stable state where all nodes are "off"?
body: <p>For example, given the Hopfield network pictured in the diagram attached...<a href="https://i.stack.imgur.com/SdogT.png" rel="nofollow noreferrer"><img src="https://i.stack.imgur.com/SdogT.png" alt="network"></a>, where all nodes are originally at 0 (or "off"), is it possible for this network to relax to all 0s (that is, remain in this state)? All 0s are supposed to be a stable state for this diagram, but that doesn't make sense to me, because in this state, the input to each node would actually be dotProduct((0 0.. 0),(input1, input2 ... inputn)) = 0. But 0 >= 0, so that would make each node turn "on"/1, right? Perhaps I just don't understand how Hopfield networks relax to a stable state...</p>