Further Reading

The Creative Adversarial Network provides the direct statistical baseline for style deviation [ Elgammal et al. , 2017 ] . Boden’s distinction among combinational, exploratory, and transformational creativity supplies the conceptual hierarchy [ Boden , 1998 , 2004 ] . Sketches and functorial models originate in the categorical theory tradition of Lawvere [ 1963 ] and Ehresmann [ 1968 ] ; Kan extensions and their transport semantics are developed systematically by Mac Lane [ 1998 ] and Riehl [ 2016 ] . Weil probes and tangent structure are treated by Leung [ 2017 ] , while Burke and MacAdam [ 2019 ] generalize Lie algebroids to tangent categories. Classical double Lie algebroids and their Weil algebra appear in Mackenzie [ 2000b ] and Meinrenken and Pike [ 2021 ] . These sources provide the established components. DIAL-CAN supplies the bridge from CAN’s statistical notion of deviation; the quotient-persistence-extension cycle and paintbrush system proposed here constitute the DILATE research construction.