In this work, we employ reservoir computing, a recently developed machine learning technique, to predict the time evolution of neuronal activity produced by the Hindmarsh-Rose neuronal model. Our results show accurate short- and long-term predictions for periodic (tonic and bursting) neuronal behaviors, but only short-term accurate predictions for chaotic neuronal states. However, after the accuracy of the short-term predictability deteriorates in the chaotic regime, the predicted output continues to display similarities with the actual neuronal behavior. This is reinforced by a striking resemblance between the bifurcation diagrams of the actual and of the predicted outputs. Error analyses of the reservoir’s performance are consistent with standard results previously obtained.
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November 2019
Research Article|
November 18 2019
Predicting slow and fast neuronal dynamics with machine learning
Rosangela Follmann;
Rosangela Follmann
a)
1
School of Information Technology, Illinois State University
, Normal, Illinois 61790, USA
2
Department of Physics, Illinois State University
, Normal, Illinois 61790, USA
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Epaminondas Rosa, Jr.
Epaminondas Rosa, Jr.
2
Department of Physics, Illinois State University
, Normal, Illinois 61790, USA
3
School of Biological Sciences, Illinois State University
, Normal, Illinois 61790, USA
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Note: This paper is part of the Focus Issue, “When Machine Learning Meets Complex Systems: Networks, Chaos and Nonlinear Dynamics.”
Chaos 29, 113119 (2019)
Article history
Received:
July 11 2019
Accepted:
October 29 2019
Citation
Rosangela Follmann, Epaminondas Rosa; Predicting slow and fast neuronal dynamics with machine learning. Chaos 1 November 2019; 29 (11): 113119. https://doi.org/10.1063/1.5119723
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