Dynamics of structured Complex Recurrent Hopfield Networks | IEEE Conference Publication | IEEE Xplore

Dynamics of structured Complex Recurrent Hopfield Networks


Abstract:

In this research paper, Complex Recurrent Hopfield Networks are introduced. Dynamics of a Structured Complex Recurrent Hopfield Network whose synaptic weight matrix is sk...Show More

Abstract:

In this research paper, Complex Recurrent Hopfield Networks are introduced. Dynamics of a Structured Complex Recurrent Hopfield Network whose synaptic weight matrix is skew Hermitian is studied. It is proved that such a network when operated in parallel mode leads to a cycle of length 4. Two new types of complex matrices known as Braided Hermitian and Braided Skew Hermitian are defined and dynamics of a complex recurrent Hopfield network based on them is studied. It is reasoned that a cycle of length 8 is reached in parallel mode of operation. Experimental results for different types of Complex Recurrent Hopfield Networks are also discussed.
Date of Conference: 24-29 July 2016
Date Added to IEEE Xplore: 03 November 2016
ISBN Information:
Electronic ISSN: 2161-4407
Conference Location: Vancouver, BC, Canada

References

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