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math.CT2020★ 4 cited
Interfacing biology, category theory and mathematical statistics
Dominique Pastor, Erwan Beurier, Andrée Ehresmann +1
Motivated by the concept of degeneracy in biology (Edelman, Gally 2001), we establish a first connection between the Multiplicity Principle (Ehresmann, Vanbremeersch 2007) and math…
cs.IT2020
A mathematical approach to resilience
Dominique Pastor, Erwan Beurier, Andrée C. Ehresmann +1
In this paper, we evolve from sparsity, a key concept in robust statistics, to concepts and theoretical results of what we call the mathematics of resilience, at the interface betw…