Interfacing biology, category theory and mathematical statistics

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Abstract

Motivated by the concept of degeneracy in biology [3], we establish a first connection between the Multiplicity Principle [4, 5] and mathematical statistics. Specifically, we exhibit two families of tests that satisfy this principle to achieve the detection of a signal in noise.

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Pastor, D., Beurier, E., Ehresmann, A., & Waldeck, R. (2020). Interfacing biology, category theory and mathematical statistics. In Electronic Proceedings in Theoretical Computer Science, EPTCS (Vol. 323, pp. 136–148). Open Publishing Association. https://doi.org/10.4204/EPTCS.323.9

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