Bengio et al. new paper: quantifying compositional structure via algorithmic information theory

patrickmineault · x · 2026-10-27

A new paper by Yoshua Bengio, Blaise Agüera y Arcas, Eric Elmoznino et al. gives an intrinsic definition of compositionality using algorithmic information theory: compositional structure is the 'novel shared structure' that appears when modeling the whole beyond what the parts explain (random strings score zero). Built on Kolmogorov complexity and minimal sufficient statistics, it conjectures the true part-split is the one maximizing the score. CPPN generation experiments show strings evolving deeper grammars and images developing repeated motifs under a combined Structure + Compositionality reward, turning compositionality from an assumption into a measurable quantity.

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