arXiv Computation and Language By Hubert Baniecki, Przemyslaw Biecek, Martin Pawelczyk

LinMix: Data Mixing as Linear Domain Attribution

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LinMix proposes a hyperparameter‑free vertex sampling strategy for data mixing in language model pretraining, treating domain attribution as a linear regression problem. By sampling mixes at the vertices of a capped simplex, it decorrelates domain effects and yields an interpretable linear model whose coefficients directly reflect each domain’s contribution. Experiments on 1B‑parameter OLMo2 and 4B Qwen3.5 models demonstrate that LinMix outperforms traditional Dirichlet‑based mixing, achieving significant gains on reasoning, code, and math benchmarks and improving overall accuracy by 11% on average over the best nonlinear baseline.

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