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International Conference on Neural Information Processing

ICONIP 2008: Advances in Neuro-Information Processing pp 195–202Cite as

Analysis of Ising Spin Neural Network with Time-Dependent Mexican-Hat-Type Interaction

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5507))

Abstract

We analyzed the equilibrium states of an Ising spin neural network model in which both spins and interactions evolve simultaneously over time. The interactions are Mexican-hat-type, which are used for lateral inhibition models. The model shows a bump activity, which is the locally activated network state. The time-dependent interactions are driven by Langevin noise and Hebbian learning. The analysis results reveal that Hebbian learning expands the bistable regions of the ferromagnetic and local excitation phases.

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References

  1. Hamaguchi, K., Hatchett, J.P.L., Okada, M.: Physical Review E 73, 051104 (2006)

    Google Scholar 

  2. Penny, R.W., Coolen, A.C.C., Sherrington, D.: J. Phys. A: Math. Gen. 26, 3681–3695 (1993)

    Google Scholar 

  3. Uezu, T., Coolen, A.C.C.: J. Phys. A: Math. Gen. 35, 2761–2809 (2001)

    Google Scholar 

  4. Dotsenko, V., Franz, S., Mézard, J.: Phys. A: Math. Gen. 27, 2351–2365 (1994)

    Google Scholar 

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Author information

Authors and Affiliations

  1. Tokyo Metropolitan College of Industrial Technology, 1-10-40, Higashi-oi, Shinagawa, Tokyo, 140-0011, Japan

    Kazuyuki Hara

  2. Faculty of Engineering Science, Kansai University, 3-3-35, Yamate-cho, Suita, Osaka, 564-8680, Japan

    Seiji Miyoshi

  3. Graduate School of Humanities and Sciences, Nara Women’s University, Kitauoya Nishicho, Nara-shi, Nara, 630-8506, Japan

    Tatsuya Uezu

  4. Graduate School of Frontier Sciences, The University of Tokyo, 5-1-5, Kashiwanoha, Kashiwa-shi, Chiba, 277-8561, Japan

    Masato Okada

  5. Brain Science Institute, Riken, 2-1, Hirosawa, Wako, Saitama, 351-0198, Japan

    Masato Okada

Authors
  1. Kazuyuki Hara
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  2. Seiji Miyoshi
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  3. Tatsuya Uezu
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  4. Masato Okada
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Editor information

Editors and Affiliations

  1. Network Design and Research Center, Kyushu Institute of Technology,, 680-4, Kawazu, Iizuka,, 820-8502, Fukuoka, Japan

    Mario Köppen

  2. Knowledge Engineering and Discovery Research Institute (KEDRI), School of Computing and Mathematical Sciences, Auckland University of Technology, 350 Queen Street, 10110, Auckland, New Zealand

    Nikola Kasabov

  3. Department of Electrical and Computer Engineering, Robotics Laboratory, Auckland University of Technology, 38 Princes Street,, 1142, Auckland, New Zealand

    George Coghill

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© 2009 Springer-Verlag Berlin Heidelberg

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Hara, K., Miyoshi, S., Uezu, T., Okada, M. (2009). Analysis of Ising Spin Neural Network with Time-Dependent Mexican-Hat-Type Interaction. In: Köppen, M., Kasabov, N., Coghill, G. (eds) Advances in Neuro-Information Processing. ICONIP 2008. Lecture Notes in Computer Science, vol 5507. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03040-6_24

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  • DOI: https://doi.org/10.1007/978-3-642-03040-6_24

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-03039-0

  • Online ISBN: 978-3-642-03040-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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