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Pattern Retrieval by Quaternionic Associative Memory with Dual Connections

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Neural Information Processing (ICONIP 2016)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 9949))

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Abstract

An associative memory based on Hopfield-type neural network, called Quaternionic Hopfield Associative Memory with Dual Connection (QHAMDC), is presented and analyzed in this paper. The state of a neuron, input, output, and connection weights are encoded by quaternion, a class of hypercomplex number systems with non-commutativity for its multiplications. In QHAMDC, calculation for an internal state of a neuron is conducted by two types of multiplications for neuron’s output and connection weight. This makes robustness of the proposed associative memory for retrieval of patterns. The experimental results show that the performances of retrieving patterns by QHAMDC are superior to those by the previous QHAM.

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Acknowledgment

This study was financially supported by Japan Society for the Promotion of Science (Grant-in-Aids for Scientific Research (C) 16K00337).

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Authors and Affiliations

  1. Graduate School of Engineering, University of Hyogo, Himeji, Hyogo, Japan

    Toshifumi Minemoto, Teijiro Isokawa & Nobuyuki Matsui

  2. Yamanashi University, Kofu, Yamanashi, Japan

    Masaki Kobayashi

  3. Graduate School of Applied Informatics, University of Hyogo, Kobe, Hyogo, Japan

    Haruhiko Nishimura

Authors
  1. Toshifumi Minemoto
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  2. Teijiro Isokawa
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  3. Masaki Kobayashi
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  4. Haruhiko Nishimura
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  5. Nobuyuki Matsui
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Corresponding author

Correspondence to Toshifumi Minemoto .

Editor information

Editors and Affiliations

  1. The University of Tokyo , Tokyo, Japan

    Akira Hirose

  2. Kobe University , Kobe, Japan

    Seiichi Ozawa

  3. Okinawa Institute of Science and Technology Graduate University, Onna, Japan

    Kenji Doya

  4. Nara Institute of Science and Technology , Ikoma, Japan

    Kazushi Ikeda

  5. Kyungpook National University , Daegu, Korea (Republic of)

    Minho Lee

  6. Chinese Academy of Sciences , Beijing, China

    Derong Liu

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Minemoto, T., Isokawa, T., Kobayashi, M., Nishimura, H., Matsui, N. (2016). Pattern Retrieval by Quaternionic Associative Memory with Dual Connections. In: Hirose, A., Ozawa, S., Doya, K., Ikeda, K., Lee, M., Liu, D. (eds) Neural Information Processing. ICONIP 2016. Lecture Notes in Computer Science(), vol 9949. Springer, Cham. https://doi.org/10.1007/978-3-319-46675-0_35

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  • DOI: https://doi.org/10.1007/978-3-319-46675-0_35

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-46674-3

  • Online ISBN: 978-3-319-46675-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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