Before revision:  Using well-developed and understood concepts from simplicial geometry we are able to define a distance based on the persistent homology applied to the simplicial complexes that captures the model structure . In this way we can identify shared topological features of different models.
After revision:  Using well-developed and understood concepts from simplicial geometry we are able to define a distance based on the persistent homology applied to the simplicial complexes . The persistent homology represents the structure of the models, so in this way we can identify shared topological features of different models.