Compositional Exploration of Combinatorial Scientific Models [article]

Kristopher Brown, Tyler Hanks, James Fairbanks
2022 arXiv   pre-print
We implement a novel representation of model search spaces as diagrams over a category of models, where we have restricted attention to a broad class of models whose structure is presented by \C-sets. (Co)limits in these diagram categories allow the creation of composite model spaces from more primitive spaces. We present a novel implementation of the computer algebra of finitely presented categories and diagram categories (including their limits and colimits), which formalizes a notion of
more » ... space exploration. This is coupled with strategies to facilitate the selection of desired models from these model spaces. We demonstrate our framework by generating a tool which fits experimental data, searching an epidemiology-relevant subspace of mass-action kinetic models.
arXiv:2206.08755v1 fatcat:h4xypm6fxnfpdcoakljekqh2la