Blinking Long-Range Connections Increase the Functionality of Locally Connected Networks

Martin HASLER; Igor BELYKH

doi:10.1093/ietfec/e88-a.10.2647

Blinking Long-Range Connections Increase the Functionality of Locally Connected Networks

Martin HASLER, Igor BELYKH

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Information processing with only locally connected networks such as cellular neural networks is advantageous for integrated circuit implementations. Adding long range connections can often enhance considerably their performance. It is sufficient to activate these connections randomly from time to time (blinking connections). This can be realized by sending packets on a communication network underlying the information processing network that is needed anyway for bringing information in and out of the locally connected network. We prove for the case of multi-stable networks that if the long-range connections are switched on and off sufficiently fast, the behavior of the blinking network is with high probability the same as the behavior of the time-averaged network. In the averaged network the blinking connections are replaced by fixed connections with low (average) coupling strength.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E88-A No.10 pp.2647-2655

Publication Date: 2005/10/01

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DOI: 10.1093/ietfec/e88-a.10.2647

Type of Manuscript: Special Section PAPER (Special Section on Nonlinear Theory and its Applications)

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Martin HASLER, Igor BELYKH, "Blinking Long-Range Connections Increase the Functionality of Locally Connected Networks" in IEICE TRANSACTIONS on Fundamentals, vol. E88-A, no. 10, pp. 2647-2655, October 2005, doi: 10.1093/ietfec/e88-a.10.2647.
Abstract: Information processing with only locally connected networks such as cellular neural networks is advantageous for integrated circuit implementations. Adding long range connections can often enhance considerably their performance. It is sufficient to activate these connections randomly from time to time (blinking connections). This can be realized by sending packets on a communication network underlying the information processing network that is needed anyway for bringing information in and out of the locally connected network. We prove for the case of multi-stable networks that if the long-range connections are switched on and off sufficiently fast, the behavior of the blinking network is with high probability the same as the behavior of the time-averaged network. In the averaged network the blinking connections are replaced by fixed connections with low (average) coupling strength.
URL: https://globals.ieice.org/en_transactions/fundamentals/10.1093/ietfec/e88-a.10.2647/_p

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@ARTICLE{e88-a_10_2647,
author={Martin HASLER, Igor BELYKH, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Blinking Long-Range Connections Increase the Functionality of Locally Connected Networks},
year={2005},
volume={E88-A},
number={10},
pages={2647-2655},
abstract={Information processing with only locally connected networks such as cellular neural networks is advantageous for integrated circuit implementations. Adding long range connections can often enhance considerably their performance. It is sufficient to activate these connections randomly from time to time (blinking connections). This can be realized by sending packets on a communication network underlying the information processing network that is needed anyway for bringing information in and out of the locally connected network. We prove for the case of multi-stable networks that if the long-range connections are switched on and off sufficiently fast, the behavior of the blinking network is with high probability the same as the behavior of the time-averaged network. In the averaged network the blinking connections are replaced by fixed connections with low (average) coupling strength.},
keywords={},
doi={10.1093/ietfec/e88-a.10.2647},
ISSN={},
month={October},}

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TY - JOUR
TI - Blinking Long-Range Connections Increase the Functionality of Locally Connected Networks
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2647
EP - 2655
AU - Martin HASLER
AU - Igor BELYKH
PY - 2005
DO - 10.1093/ietfec/e88-a.10.2647
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E88-A
IS - 10
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - October 2005
AB - Information processing with only locally connected networks such as cellular neural networks is advantageous for integrated circuit implementations. Adding long range connections can often enhance considerably their performance. It is sufficient to activate these connections randomly from time to time (blinking connections). This can be realized by sending packets on a communication network underlying the information processing network that is needed anyway for bringing information in and out of the locally connected network. We prove for the case of multi-stable networks that if the long-range connections are switched on and off sufficiently fast, the behavior of the blinking network is with high probability the same as the behavior of the time-averaged network. In the averaged network the blinking connections are replaced by fixed connections with low (average) coupling strength.
ER -