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Interpreting dynamics of neural activity after dimensionality reduction

Timothée Proix, Matthew G. Perich, Tomislav Milekovic
doi: https://doi.org/10.1101/2022.03.04.482986
Timothée Proix
1Department of Basic Neurosciences, Faculty of Medicine, University of Geneva, Geneva, Switzerland
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  • For correspondence: timothee.proix@unige.ch
Matthew G. Perich
2Department of Neuroscience, Université de Montréal, Montréal, Canada
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Tomislav Milekovic
3Defitech Center for Interventional Neurotherapies (NeuroRestore), Lausanne, Switzerland
4Centre Hospitalier Universitaire Vaudois (CHUV), Lausanne, Switzerland
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ABSTRACT

Recorded activity of cortical neurons during behavior is often analyzed with dimensionality reduction methods. The resulting oscillatory trajectories have been interpreted as signatures of latent oscillatory dynamical systems. Here we show that oscillatory trajectories arise as a consequence of the horseshoe effect after applying dimensionality reduction methods on signals that approximately exhibit continuous variation in time, regardless of whether latent oscillatory dynamical systems are present or not. We show that task-relevant information is instead contained in deviations between oscillatory trajectories, which we account for by introducing a new model that goes beyond the dichotomy between representational and dynamical systems models of neural activity. Our findings help interpret the results of dimensionality reduction analyses.

Competing Interest Statement

The authors have declared no competing interest.

Copyright 
The copyright holder for this preprint is the author/funder, who has granted bioRxiv a license to display the preprint in perpetuity. It is made available under a CC-BY 4.0 International license.
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Posted March 07, 2022.
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Interpreting dynamics of neural activity after dimensionality reduction
Timothée Proix, Matthew G. Perich, Tomislav Milekovic
bioRxiv 2022.03.04.482986; doi: https://doi.org/10.1101/2022.03.04.482986
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Interpreting dynamics of neural activity after dimensionality reduction
Timothée Proix, Matthew G. Perich, Tomislav Milekovic
bioRxiv 2022.03.04.482986; doi: https://doi.org/10.1101/2022.03.04.482986

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