19.1 What CAN makes creative

Let a discriminator have an art head and a style head. Schematically, the CAN generator balances

where the first term rewards membership in the learned distribution of art and the second discourages confident assignment to an established style class. The important insight is that novelty can be sought relative to an explicitly learned repertoire rather than identified with unconstrained randomness.

The limitation is equally precise. The style taxonomy, discriminator interface, generator vocabulary, and admissible image operations remain fixed. High style entropy may identify a novel mixture or an unusual point near a learned boundary, but it does not say that the current language of styles is inadequate. Nor does it construct a new visual operation, explain its laws, or establish that the operation generates a coherent family of works. In Boden’s terminology, CAN naturally supports combinational and exploratory readings of creativity. A claim of transformational creativity requires an explicit change in the representational space itself [ Boden , 1998 , 2004 ] .

. Style ambiguity is evidence relative to a classifier. It is not evidence that the visual theory lacks a generator. A DILATE extension must be forced by a localized structural residual and then survive independent admission.