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Recurrence microstates for machine learning classification.

G S Spezzatto1, J V V Flauzino1, G Corso2

  • 1Department of Physics, Federal University of ParanĂ¡, 81531-980 Curitiba, Brazil.

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Summary
This summary is machine-generated.

Recurrence microstates, a novel recurrence quantifier, effectively detect subtle data pattern changes. These microstates enhance machine learning models, like the microstate multi-layer perceptron (MMLP), for classifying chaotic systems with increased accuracy.

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Area of Science:

  • Complex Systems Analysis
  • Time Series Data Mining
  • Machine Learning

Background:

  • Recurrence quantification analysis (RQA) traditionally analyzes time series dynamics.
  • Phase space recurrence is a fundamental concept in dynamical systems theory.
  • Limitations exist in detecting subtle pattern changes with existing RQA methods.

Purpose of the Study:

  • Introduce recurrence microstates as a generalization of phase space recurrence.
  • Develop a novel feature generation tool for machine learning from time series data.
  • Enhance the classification of chaotic system parameters using deep neural networks.

Main Methods:

  • Obtain recurrence microstates from cross-recurrence of embedded value sequences.
  • Utilize microstate occurrence probabilities as recurrence quantifiers.
  • Implement a microstate multi-layer perceptron (MMLP) for parameter classification.

Main Results:

  • Microstate probabilities detect subtle changes in data patterns.
  • The MMLP effectively classifies parameters of chaotic systems.
  • Increasing the number of microstates improves MMLP classification accuracy.

Conclusions:

  • Recurrence microstates offer a sensitive and informative approach to time series analysis.
  • The MMLP demonstrates strong performance in classifying chaotic system parameters.
  • The method shows potential for diverse applications across different data contexts.