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April 1, 2004Science3,874 citations

Harnessing Nonlinearity: Predicting Chaotic Systems and Saving Energy in Wireless Communication

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HJHerbert JaegerHHHarald Haas

Key Points

  • The aim is to develop an efficient learning method for predicting nonlinear systems using echo state networks.
  • Utilized echo state networks for learning nonlinear systems.
  • Tested on a chaotic time series benchmark task to assess accuracy.
  • Applied the method to equalize a communication channel.
  • Achieved a 2400-fold increase in accuracy on chaotic time series prediction.
  • Improved signal error rate by two orders of magnitude during communication channel equalization.

Abstract

We present a method for learning nonlinear systems, echo state networks (ESNs). ESNs employ artificial recurrent neural networks in a way that has recently been proposed independently as a learning mechanism in biological brains. The learning method is computationally efficient and easy to use. On a benchmark task of predicting a chaotic time series, accuracy is improved by a factor of 2400 over previous techniques. The potential for engineering applications is illustrated by equalizing a communication channel, where the signal error rate is improved by two orders of magnitude.

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Cite This Study

Jaeger et al. (2004) studied this question.

synapsesocial.com/papers/69d8356c3eff0c9dfaae39aehttps://doi.org/10.1126/science.1091277
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