Scope
A novel framework for modeling creativity as a dual involution over assimilation of experience into an existing theory, and an accommodation process that instead seeks to augment the theory.
Start here
Begin with Chapter 0 for a compact primer, then use the trail map. Readers primarily interested in applications can enter at the DIAL-X contract before choosing a testbed.
Chapter outline
Part IFoundations of Infinitesimal Creativity
p. 23
- A Working Language for Creative Theory Changep. 25
- Initial Sketch Acquisitionp. 41
- Creativity as Theory Constructionp. 53
- The Differential Geometry of Creativityp. 65
- Skill Optimization for Creative Explorationp. 93
- Algebraic Theories as Creative Targetsp. 107
- Landscapes of Computational Creativityp. 123
- Combinational Creativityp. 147
- Exploratory Creativityp. 155
- Transformational Creativityp. 163
Part IIAlgorithmic Realizations
p. 173
- DIAL as an Algorithmic Familyp. 175
- Causal Learning with Infinitesimal Creativityp. 197
- Skill Optimization with Infinitesimal Creativityp. 207
- Reinforcement Learning with Infinitesimal Creativityp. 219
- Composing Creative Workflowsp. 235
Part IIIAGENTIC Testbeds and Open Domains
p. 249
- Mathematical Theory Constructionp. 251
- Simulator-Grounded Theory Extensionp. 285
- From Scientific Documents to Testable Theoriesp. 303
- Generative Visual Languagesp. 349
- Artistic Theory Extensionp. 385
- Creativity as Compositional Theory Changep. 407
