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Exploring Polyglot Harmony: On Multilingual Data Allocation for Large Language Models Pretraining
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Proposes CLIMB, a scaling-law framework with a cross-lingual interaction-aware language ratio and a two-step optimizer to pick multilingual pretraining language proportions, validated with 1.2B and 7B models trained on 1T tokens of FineWeb-2.
Problem
Choosing optimal language proportions in multilingual LLM pretraining is hard because languages interact through cross-lingual transfer and optimal ratios shift with data scale, while retraining for each mixture is prohibitively expensive.
Approach
Defines a cross-lingual interaction-aware language ratio (the monolingual token budget equivalent to a language's multilingual validation loss, divided by total budget), models it parametrically with pairwise transfer terms inside a per-language scaling law, and finds allocations via a two-step procedure: marginal-benefit balancing for direction, then constrained magnitude maximization.
Key results
- On the 2-language setting at 100B tokens, CLIMB's scaling law reaches R^2 0.978 with Huber loss 0.518e-3, versus 0.832 / 5.61e-3 for MSL.
- The 1.2B CLIMB-allocated model outperforms Uniform, Isolated, Natural and MSL allocations by about 1.85% on average across benchmarks, with up to 2.60% gain on XNLI over isolated allocation.
- CLIMB allocations at 7B scale outperform baselines by an average of 3.4%, and the 1.2B model is competitive with LLaMA-3.2, Gemma-3 and Qwen-3 despite training on only 1T tokens.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use CLIMB-derived language allocation instead of alternative allocation strategies | LLaMA-2 1.2B · Multilingual benchmarks (XNLI, XCOPA, XStoryCloze, FLORES, GMMLU, JMMLU, VMLU, XWinograd, XHS, XARC-E, XARC-C, XGPQA, XTQA) | benchmark score | Mixed |
| Use the cross-lingual interaction-aware scaling law instead of MSL | Multilingual validation-loss prediction · 2-language LLM, 100B tokens | R²: 0.832 -> 0.978 | Helped |
| Use the cross-lingual interaction-aware scaling law instead of MSL | Multilingual validation-loss prediction · 2-language LLM, 100B tokens | Huber loss (× 10^-3): 5.61 -> 0.518 | Helped |
| Increase training data budget above 25B tokens | CLIMB scaling-law prediction · Scaling-law applicability | predictive accuracy | Helped |
| Increase token budget from smaller scales to larger scales | Cross-lingual interaction-aware ratio · Multilingual pretraining | cross-lingual transfer strength | Hurt |
Surprising findings
- Optimal language allocations shift with data scale: low-resource or simpler languages get higher share at small budgets, while complex languages gain share as data grows.
- Cross-lingual transfer coefficients can be negative (interference), and transfer strength is non-monotonic in the token budget.
Limitations
- Only handles languages already present in the training corpus; cannot predict for unseen languages.
- Scaling-law predictions are unreliable below about 25B tokens due to unstable cross-lingual transfer.
- Translated benchmarks (XHS, XARC, XGPQA, XTQA) were produced via GPT-based translation, and scale of experiments limited to 1.2B and 7B models.
Experimental setup
Datasets: FineWeb-2
Benchmarks: XNLI XCOPA XStoryCloze Flores GMMLU CMMLU JMMLU VMLU XWinograd XHS XARC-E XARC-C
Metrics: R^2 Huber loss accuracy chrF++
Baselines: Isolated MSL Uniform Natural proportions LLaMA-3.2-1B Gemma-3-1B-pt Qwen-3-1.7B-base
Builds on: Chinchilla scaling laws multilingual scaling law (MSL) DoReMi
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