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Retrieving a Context Tree from EEG Data

Author

Listed:
  • Aline Duarte

    (Instituto de Matemática e Estatística, Universidade de São Paulo, São Paulo 05508-090, Brazil)

  • Ricardo Fraiman

    (Centro de Matemática, Universidad de la República, Uruguay and Instituto Pasteur de Montevideo, Montevideo 11400, Uruguay)

  • Antonio Galves

    (Instituto de Matemática e Estatística, Universidade de São Paulo, São Paulo 05508-090, Brazil)

  • Guilherme Ost

    (Instituto de Matemática, Universidade Federal do Rio de Janeiro, Rio de Janeiro 21941-909, Brazil)

  • Claudia D. Vargas

    (Instituto de Biofísica, Universidade Federal do Rio de Janeiro, Rio de Janeiro 21941-902, Brazil)

Abstract

It has been repeatedly conjectured that the brain retrieves statistical regularities from stimuli. Here, we present a new statistical approach allowing to address this conjecture. This approach is based on a new class of stochastic processes, namely, sequences of random objects driven by chains with memory of variable length.

Suggested Citation

  • Aline Duarte & Ricardo Fraiman & Antonio Galves & Guilherme Ost & Claudia D. Vargas, 2019. "Retrieving a Context Tree from EEG Data," Mathematics, MDPI, vol. 7(5), pages 1-13, May.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:5:p:427-:d:230857
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    References listed on IDEAS

    as
    1. Antonio Galves & Aurélien Garivier & Elisabeth Gassiat, 2013. "Joint Estimation of Intersecting Context Tree Models," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 40(2), pages 344-362, June.
    2. Garivier, A. & Leonardi, F., 2011. "Context tree selection: A unifying view," Stochastic Processes and their Applications, Elsevier, vol. 121(11), pages 2488-2506, November.
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