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Maximum-entropy and representative samples of neuronal activity: a dilemma

View ORCID ProfileP.G.L. Porta Mana, V. Rostami, E. Torre, Y. Roudi
doi: https://doi.org/10.1101/329193
P.G.L. Porta Mana
1Kavli Institute for Systems Neuroscience, Norwegian University of Science and Technology
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  • For correspondence: pglpm0@gmail.com
V. Rostami
2Computational Systems Neuroscience, Koeln University
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E. Torre
3ETH Zuerich
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Y. Roudi
1Kavli Institute for Systems Neuroscience, Norwegian University of Science and Technology
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Abstract

The present work shows that the maximum-entropy method can be applied to a sample of neuronal recordings along two different routes: (1) apply to the sample; or (2) apply to a larger, unsampled neuronal population from which the sample is drawn, and then marginalize to the sample. These two routes give inequivalent results. The second route can be further generalized to the case where the size of the larger population is unknown. Which route should be chosen? Some arguments are presented in favour of the second. This work also presents and discusses probability formulae that relate states of knowledge about a population and its samples, and that may be useful for sampling problems in neuroscience.

Competing Interest Statement

The authors have declared no competing interest.

Footnotes

  • pgl{at}portamana.org

  • vrostami{at}uni-koeln.de

  • emiliano.torre{at}yahoo.com

  • yasser.roudi{at}ntnu.no

  • Added references and updated contact details

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 October 19, 2020.
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Maximum-entropy and representative samples of neuronal activity: a dilemma
P.G.L. Porta Mana, V. Rostami, E. Torre, Y. Roudi
bioRxiv 329193; doi: https://doi.org/10.1101/329193
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Maximum-entropy and representative samples of neuronal activity: a dilemma
P.G.L. Porta Mana, V. Rostami, E. Torre, Y. Roudi
bioRxiv 329193; doi: https://doi.org/10.1101/329193

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