Spiking neurons Stimulus n= spike and afterspike potential urest=resting potential p()=∑v,x e(t,u(t))= trace at time t of input at time t threshold xt=output of neuron at time t Wi=efficacy of synapse from neuron i to neuron J Response u(t=input stimulus at time t p0)=(a+m(=1)+∑cn() dz z≥Q&>0→ON else→OFF 02/02/2021 Artificial Neural Networks02/02/2021 Artificial Neural Networks - I 13 Spiking Neurons ( ) =  ( ) j i ij j u t w x t (  ( ( ))) = = + − + t i rest f ui y t f u t t t 0 ( ) ( ) ,     ( )                = else OFF ON dt dz z f z & 0  = spike and afterspike potential urest = resting potential (t,u()) = trace at time t of input at time  = threshold xj (t) = output of neuron j at time t wij = efficacy of synapse from neuron i to neuron j u(t) = input stimulus at time t Response Stimulus