Model comparison via simplicial complexes and persistent homology.

ABSTRACT: In many scientific and technological contexts, we have only a poor understanding of the structure and details of appropriate mathematical models. We often, therefore, need to compare different models. With available data we can use formal statistical model selection to compare and contrast the ability of different mathematical models to describe such data. There is, however, a lack of rigorous methods to compare different models a priori. Here, we develop and illustrate two such approaches that allow us to compare model structures in a systematic way by representing models as simplicial complexes. Using well-developed concepts from simplicial algebraic topology, we define a distance between models based on their simplicial representations. Employing persistent homology with a flat f

SUBMITTER: Vittadello ST 

PROVIDER: S-EPMC8511761 | biostudies-literature | 2021 Oct

REPOSITORIES: biostudies-literature