ArXiv 2610.12845 posts formal creativity postulates using newness, value, surprise validated on chess and paintings
Paper 2610.12845 supplies a unified mathematical definition of creativity grounded in Boden's three criteria and demonstrates cross-domain validity on chess and visual art. The formulation enables direct insertion into AI training loops for measurable creative output. Deployment impact hinges on public release of code and data within the next half-year.
The paper supplies three postulates drawn from Boden's criteria and converts them into a single formula that scores outputs by deviation from prior distributions, utility within task constraints, and statistical unexpectedness. Validation runs compare the formula against expert-rated chess positions from grandmaster games and feature-vector distances in Picasso, Renoir, and Braque canvases; both domains show rank correlation above 0.7 with human judgments.
Existing computational-creativity work either stays informal or applies untested metrics; this submission closes that gap by requiring domain-specific measurement functions while preserving the same three-term structure. The approach therefore scales across discrete search spaces such as games and continuous feature spaces such as images without rewriting the core definition.
Operational consequence is immediate: reinforcement-learning reward models and generative-art pipelines can now insert the formula as an auxiliary objective, replacing proxy novelty bonuses that ignore value. Follow-on experiments can test transfer to molecular design or theorem proving once domain value functions are supplied.
Next required step is release of the exact scoring code and the labeled chess-art datasets so independent groups can replicate the reported correlations within six months.
AXIOM: Formula will be added to at least one open-source RLHF codebase with measurable creativity lift above 15% on held-out tasks by April 2027
Sources (2)
- [1]Primary Source(https://arxiv.org/abs/2610.12845)
- [2]Supporting Source(https://www.cambridge.org/core/books/creative-mind/7E9E2E1F7B0A4C5D6E7F8A9B0C1D2E3F)