Time-Skew Hebb Rule in a Nonisopotential Neuron

Author:

Pearlmutter Barak A.1

Affiliation:

1. Siemens Corporate Research, 755 College Road East, Princeton, NJ 08540 USA

Abstract

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 Qij(τ) = 〈ξi(τ) ξj(t − T)〉 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 eigenspace of [Formula: see text]. This matrix is defined by [Formula: see text], 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 presynaptic action potential.

Publisher

MIT Press - Journals

Subject

Cognitive Neuroscience,Arts and Humanities (miscellaneous)

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Correlated Connectivity and the Distribution of Firing Rates in the Neocortex;Journal of Neuroscience;2009-03-25

2. Correlation-based feature detection using pulsed neural networks;2003 IEEE XIII Workshop on Neural Networks for Signal Processing (IEEE Cat. No.03TH8718)

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