OptiMer: Optimal Distribution Vector Merging Is Better than Data Mixing for Continual Pre-Training

Haiyue Song, Huy Hien Vu, Masao Utiyama


Abstract
Continual pre-training is widely used to adapt LLMs to target languages and domains, yet the mixture ratio of training data remains a sensitive hyperparameter that is expensive to tune: it must be fixed before training begins, and a suboptimal choice can waste weeks of compute. In this work, we propose OptiMer, which decouples ratio selection from training: we train one CPT model per dataset, extract each model’s distribution vector, which represents the parameter shift induced by that dataset, and search for optimal composition weights post-hoc via Bayesian optimization. Experiments on Gemma 3 27B across languages (Japanese, Chinese) and domains (Math, Code) show that OptiMer consistently outperforms data mixture and model averaging baselines with 15-35x lower search cost. Key findings reveal that 1) the optimized weights can be interpreted as data mixture ratios, and retraining with these ratios improves data mixture CPT, and 2) the same vector pool can be re-optimized for a given objective without any retraining, producing target-tailored models on demand. Our work establishes that data mixture ratio selection, traditionally a pre-training decision, can be reformulated as a post-hoc optimization over distribution vectors, offering a more flexible paradigm for continual pre-training.
Anthology ID:
2026.emnlp-main.1090
Volume:
Proceedings of the 2026 Conference on Empirical Methods in Natural Language Processing
Month:
October
Year:
2026
Address:
Budapest, Hungary
Editors:
Hung-Yi Lee, Sunipa Dev, Jessy Li, Desmond Elliott
Venue:
EMNLP
SIG:
SIGDAT
Publisher:
Association for Computational Linguistics
Note:
Pages:
25034–25054
Language:
URL:
https://aclanthology.org/2026.emnlp-main.1090/
DOI:
Bibkey:
Cite (ACL):
Haiyue Song, Huy Hien Vu, and Masao Utiyama. 2026. OptiMer: Optimal Distribution Vector Merging Is Better than Data Mixing for Continual Pre-Training. In Proceedings of the 2026 Conference on Empirical Methods in Natural Language Processing, pages 25034–25054, Budapest, Hungary. Association for Computational Linguistics.
Cite (Informal):
OptiMer: Optimal Distribution Vector Merging Is Better than Data Mixing for Continual Pre-Training (Song et al., EMNLP 2026)
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PDF:
https://aclanthology.org/2026.emnlp-main.1090.pdf