Self-organized critical neural networks

Details Self-organized critical neural networks Self-organized critical neural networks

2001-09-14

arxiv.org/abs/cond-mat/0109256v2

Phys. Rev. E 67 (2003) 066118

Physics

Condensed Matter

Statistical Mechanics

5 pages RevTeX, 7 figures PostScript

Scientific paper

10.1103/PhysRevE.67.066118

A mechanism for self-organization of the degree of connectivity in model neural networks is studied. Network connectivity is regulated locally on the basis of an order parameter of the global dynamics which is estimated from an observable at the single synapse level. This principle is studied in a two-dimensional neural network with randomly wired asymmetric weights. In this class of networks, network connectivity is closely related to a phase transition between ordered and disordered dynamics. A slow topology change is imposed on the network through a local rewiring rule motivated by activity-dependent synaptic development: Neighbor neurons whose activity is correlated, on average develop a new connection while uncorrelated neighbors tend to disconnect. As a result, robust self-organization of the network towards the order disorder transition occurs. Convergence is independent of initial conditions, robust against thermal noise, and does not require fine tuning of parameters.

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