# MEAN FIELD MONTE CARLO STUDIES OF ASSOCIATIVE MEMORY - Understanding the Dynamics of a Many-pattern Model

### Ish Dhand, Manoranjan P. Singh

#### Abstract

Dynamics of a Hebbian model of associative memory is studied using Mean field Monte-Carlo method. Under the assumption of infinite system, we have derived single-spin equations, using the generating functional method from statistical mechanics, for the purpose of simulations. This approach circumvents the strong finite-size effects of the usual calculations on this system. We have tried to understand the retrieval of a stored pattern in presence of another condensed pattern undergoing reinforcement, positive or negative. We find that the retrieval is faster and the retrieval quality is better for the case of positive reinforcement.

#### References

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#### Paper Citation

#### in Harvard Style

Dhand I. and P. Singh M. (2011). **MEAN FIELD MONTE CARLO STUDIES OF ASSOCIATIVE MEMORY - Understanding the Dynamics of a Many-pattern Model** . In *Proceedings of the International Conference on Neural Computation Theory and Applications - Volume 1: NCTA, (IJCCI 2011)* ISBN 978-989-8425-84-3, pages 395-400. DOI: 10.5220/0003683803950400

#### in Bibtex Style

@conference{ncta11,

author={Ish Dhand and Manoranjan P. Singh},

title={MEAN FIELD MONTE CARLO STUDIES OF ASSOCIATIVE MEMORY - Understanding the Dynamics of a Many-pattern Model},

booktitle={Proceedings of the International Conference on Neural Computation Theory and Applications - Volume 1: NCTA, (IJCCI 2011)},

year={2011},

pages={395-400},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0003683803950400},

isbn={978-989-8425-84-3},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the International Conference on Neural Computation Theory and Applications - Volume 1: NCTA, (IJCCI 2011)

TI - MEAN FIELD MONTE CARLO STUDIES OF ASSOCIATIVE MEMORY - Understanding the Dynamics of a Many-pattern Model

SN - 978-989-8425-84-3

AU - Dhand I.

AU - P. Singh M.

PY - 2011

SP - 395

EP - 400

DO - 10.5220/0003683803950400