Decoding independent sets from an analog Hopfield network

It is well known that a perceptron cannot be used to implement the XOR function but that a feed forward network with some hidden neurons can. The purpose of this work is to show that a Hopfield style network can also be used to implement the XOR function. It ...

In 1984 Hopfield showed that the time evolution of a symmetric Hopfield neural networks are a motion in state space that seeks out minima in the energy function (i.e., equilibrium point set of Hopfield neural networks). Because high-order Hopfield ...

This paper reports two-dimensional parameter-space plots for both, the hyperbolic tangent and the piecewise-linear neuron activation functions of a three-dimensional Hopfield neural network. The plots obtained using both neuron activation functions are ...