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The present work shows that the maximum-entropy method can be applied to asample of neuronal recordings along two different routes: (1) apply to thesample; or (2) apply to a larger, unsampled neuronal population from which thesample is drawn, and then marginalize to the sample. These two routes giveinequivalent results. The second route can be further generalized to the casewhere the size of the larger population is unknown. Which route should bechosen? Some arguments are presented in favour of the second. This work alsopresents and discusses probability formulae that relate states of knowledgeabout a population and its samples, and that may be useful for samplingproblems in neuroscience.

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