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Amoeba-based Chaotic Neurocomputing: Combinatorial Optimization by Coupled Biological Oscillators

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Abstract

We demonstrate a neurocomputing system incorporating an amoeboid unicellular organism, the true slime mold Physarum, known to exhibit rich spatiotemporal oscillatory behavior and sophisticated computational capabilities. Introducing optical feedback applied according to a recurrent neural network model, we induce that the amoeba’s photosensitive branches grow or degenerate in a network-patterned chamber in search of an optimal solution to the traveling salesman problem (TSP), where the solution corresponds to the amoeba’s stably relaxed configuration (shape), in which its body area is maximized while the risk of being illuminated is minimized.Our system is capable of reaching the optimal solution of the four-city TSP with a high probability. Moreover, our system can find more than one solution, because the amoeba can coordinate its branches’ oscillatory movements to perform transitional behavior among multiple stable configurations by spontaneously switching between the stabilizing and destabilizing modes. We show that the optimization capability is attributable to the amoeba’s fluctuating oscillatory movements. Applying several surrogate data analyses, we present results suggesting that the amoeba can be characterized as a set of coupled chaotic oscillators.

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Author information

Authors and Affiliations

  1. Advanced Science Institute, RIKEN, 2-1 Hirosawa, Wako, Saitama, 351-0198, Japan

    Masashi Aono & Masahiko Hara

  2. Institute of Industrial Science, The University of Tokyo, 4-6-1 Komaba, Meguro, Tokyo, 153-8505, Japan

    Yoshito Hirata

  3. Institute of Industrial Science, ERATO Aihara Complexity Modelling Project, JST, The University of Tokyo, 4-6-1 Komaba, Meguro, Tokyo, 153-8505, Japan

    Kazuyuki Aihara

Authors
  1. Masashi Aono
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  2. Yoshito Hirata
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  3. Masahiko Hara
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  4. Kazuyuki Aihara
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Correspondence to Masashi Aono.

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Aono, M., Hirata, Y., Hara, M. et al. Amoeba-based Chaotic Neurocomputing: Combinatorial Optimization by Coupled Biological Oscillators. New Gener. Comput. 27, 129–157 (2009). https://doi.org/10.1007/s00354-008-0058-4

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  • DOI: https://doi.org/10.1007/s00354-008-0058-4

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