References. The interpretation of duoidals as an algebra of dependency appears first in Duoidal Structures for Compositional Dependence (Shapiro, Spivak, 2022). I am adding a string diagrammatic interpretation using that the endocells of a map pseudomonoid are duoidal (Garner, Lopez Franco, 2015).
Tags: Map pseudomonoid, duoidal category, Convolution and coconvolution, Endocells of a map pseudomonoid are duoidal.