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

Author

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  • Porta Mana, PierGianLuca

    (HVL Western Norway University of Applied Sciences)

  • 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_v1, Center for Open Science.
    • Handle: RePEc:osf:osfxxx:uz29n_v1
    DOI: 10.31219/osf.io/uz29n_v1
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