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Neural networks, lattice instantons, and the anti-integrable limit

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posted on 2006-05-11, 16:11 authored by P.C. Bressloff
We prove the existence of localized ground states (lattice instantons) for the standard diffusive Haken model in any finite dimension. Our proof is based on singular perturbation theory in the limit of zero diffusive coupling (anti-integrable limit).

History

School

  • Science

Department

  • Mathematical Sciences

Pages

727047 bytes

Citation

BRESSLOFF, P.C., 1995. Neural networks, lattice instantons, and the anti-integrable limit. Physics Review Letters

Publisher

© American Physical Society

Publication date

1995

Notes

This article was published in the journal, Physical Review Letters [© American Physical Society]. It is also available at: http://link.aps.org/abstract/PRL/v75/p962.

ISSN

0031-9007

Language

  • en

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