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Network structure effects in reservoir computers.

T L Carroll1, L M Pecora1

  • 1US Naval Research Laboratory, Washington, DC 20375, USA.

Chaos (Woodbury, N.Y.)
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Summary
This summary is machine-generated.

Altering reservoir computer network structures by flipping edges impacts system performance. Changes in flipped edges correlate with the covariance matrix rank, suggesting its importance for reservoir computing effectiveness.

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Area of Science:

  • Complex Systems
  • Computational Neuroscience
  • Machine Learning

Background:

  • Reservoir computers are nonlinear dynamical systems applied to tasks like signal prediction and robotic control.
  • They typically involve a large network of interconnected nonlinear nodes driven by input signals.

Purpose of the Study:

  • To investigate the effect of altering network structure on reservoir computer performance.
  • To characterize reservoir networks by edge manipulation and symmetry analysis.

Main Methods:

  • Constructing reservoir networks with +1 or 0 edges and modifying them by flipping edges to -1.
  • Using the fraction of flipped edges and network symmetries to characterize structural changes.
  • Analyzing the rank of the covariance matrix of node time series.

Main Results:

  • Flipping edges in the reservoir network alters its structure.
  • The number of flipped edges influences the rank of the covariance matrix of node time series.
  • Network symmetries are useful for characterizing network structure.

Conclusions:

  • The rank of the covariance matrix is a key factor in understanding reservoir computer performance.
  • Structural modifications, specifically edge flipping, provide a means to tune reservoir computing capabilities.