3 research outputs found

    Time-Skew Hebb Rule in a Nonisopotential Neuron

    Get PDF
    In an isopotential neuron with rapid response, it has been shown that the receptive fields formed by Hebbian synaptic modulation depend on the principal eigenspace of Q(0), the input autocorrelation matrix, where Q ij (t) = hx i (t) x j (t \Gamma t)i and x i (t) is the input to synapse i at time t (Oja 1982). We relax the assumption of isopotentiality, introduce a time-skewed Hebb rule, and find that the dynamics of synaptic evolution are determined by the principal eigenspace of b Q. This matrix is defined by b Q ij = R 1 0 (Q ij y i )(t) K ij (t) dt , where K ij (t) is the neuron's voltage response to a unit current injection at synapse j as measured t seconds later at synapse i, and y i (t) is the time course of the opportunity for modulation of synapse i following the arrival of a pre-synaptic action potential. 1 Introduction Hebbian synaptic modification involves the enhancement of synaptic efficacy in response to simultaneous pre- and post-synaptic activity. This form of ..

    Time-Skew Hebb Rule in a Nonisopotential Neuron

    No full text
    In an isopotential neuron with rapid response, it has been shown that the receptive fields formed by Hebbian synaptic modulation depend on the principal of¡ eigenspace (0), the input autocorrelation matrix, where Qij(τ) ξj(t £ =¢ξi(t) τ)¤and ξi(t) is the input to synapse i at time t (Oja 1982). We relax the assumption of isopotentiality, introduce a time-skewed Hebb rule, and find that the dynamics of synaptic evolution are determined by the principal of¥ eigenspace. ¡ This matrix is defined by¥Qij 0 =¦¨ § (Qij © ψi)(τ) Kij(τ) dτ, where Kij(τ) is the neuron’s voltage response to a unit current injection at synapse j as measured τ seconds later at synapse i, and ψi(τ) is the time course of the opportunity for modulation of synapse i following the arrival of a pre-synaptic action potential.

    Time-Skew Hebb Rule in a Nonisopotential Neuron

    No full text
    corecore