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Space of interactions with definite symmetry in neural networks with biased patterns as a spin-glass problem
1996
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
We study the space of interactions of a connected neural network with biased patterns, when the synaptic interactions satisfy a symmetry constraint. We show that the solution to the problem requires the calculation of a quantity N⍀ analogous to the thermodynamic potential of a multiply connected Ising model with site dependent interactions, which maps the present problem into the spin-glass problem. By using a diagrammatic expansion, we express N⍀ formally as a functional of renormalized site
doi:10.1103/physreve.53.6361
pmid:9964995
fatcat:bjn32fpskvhidmhuifxemnziuy