From the abstract: «I show that in order for the information that they [generalizations] carry to be available to cognition, perceptual representations must be isomorphic with respect to the constituent structure of the properties that they represent. Isomorphism therefore plays an important role in the information theorist’s account of perceptual representation, even though it plays no role in determining content.»
I couldn't help but think that philosophically, Wittgenstein's idea that a proposition is a picture of the world appears to be a starting point for the paper's ideas. Even if scientific terms like "model" and "simulation" might be more palatable [perhaps due to less examination], all capture the idea of isomorphism between a representation and what it represents.
