Reservoir computing with a single time-delay autonomous Boolean node

We demonstrate reservoir computing with a physical system using a single autonomous Boolean logic element with time-delay feedback. The system generates a chaotic transient with a window of consistency lasting between 30 and 300 ns, which we show is sufficient for reservoir computing. We then characterize the dependence of computational performance on system parameters to find the best operating point of the reservoir. When the best parameters are chosen, the reservoir is able to classify short input patterns with performance that decreases over time. In particular, we show that four distinct input patterns can be classified for 70 ns, even though the inputs are only provided to the reservoir for 7.5 ns.

• Publication year

  2014

• Venue

  Physical review. E, Statistical, nonlinear, and soft matter physics

• Publication date

  2014-11-04

• Fields of study

  Medicine, Physics, Computer Science

• Identifiers
  DOI 10.1103/PhysRevE.91.020801arXiv 1411.1398PMID 25768448
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar, PubMed

• No claims are published for this paper.

• No concepts are published for this paper.

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• Optoelectronic reservoir computing: tackling noise-induced performance degradation.

  2013cited by this paper
• Experiments on autonomous Boolean networks.

  2013cited by this paper
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  2013cited by this paper
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  2013cited by this paper
• I and J

  2012cited by this paper
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  2012cited by this paper
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  2012cited by this paper
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  2011cited by this paper
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  2010cited by this paper
• Boolean chaos.

  2009cited by this paper
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  2007cited by this paper
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