New scaling law paper quantifies data synergy across 52 open-weight LLMs, extends Chinchilla

LesterMackey · x · 2026-10-09

'Domain-Aware Scaling Laws Uncover Data Synergy' (Hamidieh, Mackey, Alvarez-Melis) extends Chinchilla by adding pairwise domain interactions to the scaling law, fitted observationally across 52 open-weight LLMs. It formalizes 'data synergy' — domain mixtures whose combined contribution exceeds or falls short of the sum of parts (e.g. code boosts math reasoning; some mixtures interfere) — estimating both direct domain-to-benchmark and second-order domain-domain synergy. The framework outperforms domain-agnostic scaling laws in predictive accuracy, and validation runs on predicted optimal and anti-optimal mixtures confirm the estimates correctly predict performance rankings.

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