Interfacing biology, category theory and mathematical statistics

Dominique Pastor
(IMT Atlantique, LabSTICC, Université de Bretagne-Loire, 29238 Brest, France)
Erwan Beurier
(IMT Atlantique, LabSTICC, Université de Bretagne-Loire, 29238 Brest, France)
Andrée Ehresmann
(Faculté des Sciences, Mathématiques, LAMFA, Université de Picardie Jules Verne, 33 rue Saint-Leu, F-80039 Amiens, France)
Roger Waldeck
(IMT Atlantique, LEGO, Université de Bretagne-Loire, 29238 Brest, France)

Motivated by the concept of degeneracy in biology (Edelman, Gally 2001), we establish a first connection between the Multiplicity Principle (Ehresmann, Vanbremeersch 2007) and mathematical statistics. Specifically, we exhibit two families of statistical tests that satisfy this principle to achieve the detection of a signal in noise.

In John Baez and Bob Coecke: Proceedings Applied Category Theory 2019 (ACT 2019), University of Oxford, UK, 15-19 July 2019, Electronic Proceedings in Theoretical Computer Science 323, pp. 136–148.
Published: 15th September 2020.

ArXived at: http://dx.doi.org/10.4204/EPTCS.323.9 bibtex PDF
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