Second Order Spiking Perceptron

According to the usual approximation scheme, we present a more biologically plausible so-called second order spiking perceptron with renewal process inputs, which employs both first and second statistics, i.e. the means, variances and correlations of the synaptic input. We show that such perceptron, even a single neuron, is able to perform complex non-linear tasks like the XOR problem, which is impossible to be solved by traditional single-layer perceptrons. Here such perceptron offers a significant advantage over classical models, in that it includes the second order statistics in computations, and that it introduces variance in the error representation. We are to open up the possibility of carrying out a random computation in neuronal networks.