Interfacing biology, category theory and mathematical statistics
Dominique Pastor (IMT Atlantique, LabSTICC, Universit\'e de, Bretagne-Loire), Erwan Beurier (IMT Atlantique, LabSTICC, Universit\'e de, Bretagne-Loire), Andr\'ee Ehresmann (Facult\'e des Sciences, Math\'ematiques,, LAMFA, Universit\'e de Picardie Jules Verne)
TL;DR
This paper connects biological degeneracy with mathematical statistics by establishing a link through the Multiplicity Principle, introducing statistical tests for signal detection in noisy environments.
Contribution
It is the first to relate biological degeneracy concepts with the Multiplicity Principle in statistics, proposing new tests for signal detection.
Findings
Two families of statistical tests satisfying the Multiplicity Principle.
Successful detection of signals in noisy data environments.
Bridging biology and statistical theory through formal connections.
Abstract
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.
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Taxonomy
TopicsFractal and DNA sequence analysis · Statistical Mechanics and Entropy · Gene Regulatory Network Analysis