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ExpLang: Improved Exploration and Exploitation in LLM Reasoning with On-Policy Thinking Language Selection
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Proposes ExpLang, an RLVR pipeline where a Qwen3-4B model learns on-policy thinking-language selection (LoRA SFT cold start, then exploration/exploitation GRPO stages with language diversity and language Pass@k rewards), improving math reasoning over English-only training.
Problem
English-centric RL post-training of large reasoning models ignores potential benefits of multilingual thinking for exploration and exploitation, and native-language thinking traces are needed by global users.
Approach
Equip the model with a thinking-language selection tag learned via LoRA SFT, then let it choose its thinking language on-policy during RLVR, using a language-diversity reward during an exploration stage and a language-grouped Pass@k reward during an exploitation stage.
Key results
- On MATH-500, RLVR (Ours) reaches 91.5% accuracy vs 91.4% for naive GRPO and 91.0% for controlled baseline under automatic selection, with fewer tokens (1263 vs 1417).
- On AIME-2025 with automatic selection, ExpLang reaches 31.9% (+15.8 over SFT start) vs 30.8% naive GRPO and 26.4% controlled baseline.
- On unseen languages (MATH-500), ExpLang's Acc* is 61.5% vs 24.6% naive and 37.9% controlled, with 75.5% compliance.
Surprising findings
- Naive English-only GRPO nearly matches ExpLang on MATH-500 automatic accuracy (91.4 vs 91.5), with the gain concentrated on AIME and unseen-language settings.
- Forced multilingual thinking shows higher Pass@k but lower accuracy than English thinking for the base Qwen3 models.
Limitations
- Experiments limited to Qwen3-4B and math reasoning with generation length capped at 4096 tokens.
- Gains over naive GRPO on MATH-500 automatic accuracy are marginal; the method is not compared with other GRPO variants in experiments.
Experimental setup
Datasets: OpenR1-Math-220k MATH-500 AIME 2025 OlymMATH en-easy
Benchmarks: MATH-500 AIME 2025 OlymMATH en-easy
Metrics: accuracy Pass@k thinking tokens thinking language compliance Acc^F Acc^*
Baselines: Qwen3-4B naive GRPO (English-only) controlled baseline (LoRA SFT on English traces + GRPO) full SFT
Builds on: GRPO RLVR Pass@k training Dr. GRPO DAPO GSPO
Closest papers by meaning
- Beyond English-Centric Training: How Reinforcement Learning Improves Cross-Lingual Reasoning in LLMs (ICLR 2026 · similarity 0.90)
- Reasoning with Exploration: An Entropy Perspective (AAAI 2026 · similarity 0.90)
- Rectifying LLM Thought from Lens of Optimization (ICLR 2026 · similarity 0.89)
- Revisiting Reinforcement Learning for LLM Reasoning from A Cross-Domain Perspective (NeurIPS 2025 · similarity 0.89)
- Diversity-Aware Policy Optimization for Large Language Model Reasoning (NeurIPS 2025 · similarity 0.89)
- Planning without Search: Refining Frontier LLMs with Offline Goal-Conditioned RL (NeurIPS 2025 · similarity 0.89)
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