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

Author

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  • Porta Mana, PierGianLuca

    (Norwegian University of Science and Technology)

  • Rostami, Vahid
  • Torre, Emiliano
  • Roudi, Yasser

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.

Suggested Citation

  • Porta Mana, PierGianLuca & Rostami, Vahid & Torre, Emiliano & Roudi, Yasser, 2018. "Maximum-entropy and representative samples of neuronal activity: a dilemma," OSF Preprints uz29n, Center for Open Science.
    • Handle: RePEc:osf:osfxxx:uz29n
    DOI: 10.31219/osf.io/uz29n
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    References listed on IDEAS

    as
    1. Elad Schneidman & Michael J. Berry & Ronen Segev & William Bialek, 2006. "Weak pairwise correlations imply strongly correlated network states in a neural population," Nature, Nature, vol. 440(7087), pages 1007-1012, April.
    2. Vahid Rostami & PierGianLuca Porta Mana & Sonja Grün & Moritz Helias, 2017. "Bistability, non-ergodicity, and inhibition in pairwise maximum-entropy models," PLOS Computational Biology, Public Library of Science, vol. 13(10), pages 1-44, October.
    3. Einat Granot-Atedgi & Gašper Tkačik & Ronen Segev & Elad Schneidman, 2013. "Stimulus-dependent Maximum Entropy Models of Neural Population Codes," PLOS Computational Biology, Public Library of Science, vol. 9(3), pages 1-14, March.
    4. Yasser Roudi & Sheila Nirenberg & Peter E Latham, 2009. "Pairwise Maximum Entropy Models for Studying Large Biological Systems: When They Can Work and When They Can't," PLOS Computational Biology, Public Library of Science, vol. 5(5), pages 1-18, May.
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