AILGSep 25, 2025

Combinatorial Creativity: A New Frontier in Generalization Abilities

arXiv:2509.21043v43 citationsh-index: 34
Originality Incremental advance
AI Analysis

This addresses the challenge of assessing open-ended creative abilities in AI for applications like scientific idea generation, though it is incremental in building on existing generalization concepts.

The paper tackles the problem of evaluating combinatorial creativity in AI, particularly in Large Language Models, by proposing a theoretical framework and algorithmic task based on novelty and utility, and finds that creativity scales with model size but faces a persistent novelty-utility tradeoff that limits long-term potential.

Artificial intelligence (AI) systems, and Large Language Models (LLMs) in particular, are increasingly employed for creative tasks like scientific idea generation, constituting a form of generalization from training data unaddressed by existing conceptual frameworks. Despite its similarities to compositional generalization (CG), combinatorial creativity (CC) is an open-ended ability. Instead of evaluating for accuracy or correctness against fixed targets, which would contradict the open-ended nature of CC, we propose a theoretical framework and algorithmic task for evaluating outputs by their degrees of novelty and utility. From here, we make several important empirical contributions: (1) We obtain the first insights into the scaling behavior of creativity for LLMs. (2) We discover that, for fixed compute budgets, there exist optimal model depths and widths for creative ability. (3) We find that the ideation-execution gap, whereby LLMs excel at generating novel scientific ideas but struggle to ensure their practical feasibility, may be explained by a more fundamental novelty-utility tradeoff characteristic of creativity algorithms in general. Importantly, this tradeoff remains persistent even at scale, casting doubt on the long-term creative potential of LLMs in their current form. Together, our conceptual framework and empirical findings provide a foundation for understanding and improving creativity in modern AI models, bridging the gap between human and machine intelligence.

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