Research map / Large language models / Reasoning and chain of thought
Hint Tuning: Less Data Makes Better Reasoners
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Hint Tuning uses an instruct model as a difficulty probe to label ~1K s1 problems into No-Hint, Sparse-Hint, and Full-Hint training traces, then SFTs reasoning models to calibrate reasoning length, cutting tokens 24-66% on math.
Problem
Large reasoning models generate verbose chain-of-thought uniformly regardless of problem difficulty, and existing efficiency methods either need large distillation sets or expensive RL with length penalties.
Approach
Use the corresponding instruct model as a capability probe: find the Minimum Effective Hint (smallest prefix of reasoning episodes that lets the instruct model answer correctly) to automatically label each problem into three reasoning-depth states, then fine-tune the reasoning model on the resulting variable-length traces with plain SFT.
Key results
- Hint Tuning reduces tokens 24-66% (31.5% average) across Qwen3-4B-Thinking and DeepSeek-R1-Distill 7B/14B/32B with 1K samples, e.g., Qwen3-4B 66% token reduction on MATH500 at -2.1 accuracy.
- On DeepSeek-R1-Distill-Qwen-32B, MATH500 accuracy rises 1.1 points (94.8 to 95.9) while tokens drop 47%.
- On cross-domain tasks, token use does not drop and sometimes rises (e.g., +41% on LiveCodeBench for DS-R1-7B) while accuracy is roughly preserved.
Surprising findings
- Self-generated traces outperform traces from the stronger DeepSeek-R1 teacher, and dropping incorrect-answer traces hurts accuracy.
- Compression does not transfer to OOD domains: token counts increase on GPQA-Diamond and LiveCodeBench for some models.
Limitations
- Relies on a capability gap between instruct and reasoning models; calibration across families and scales is open.
- Experiments focus on mathematical reasoning; generalization to other domains is limited and compression can disappear OOD.
- Mechanism by which structural episode tags induce adaptive reasoning is empirical only.
Experimental setup
Datasets: s1K AIME24 AIME25 HMMT25 MATH500 AMO-Bench LiveCodeBench GPQA-Diamond
Benchmarks: MATH500 AIME24 AIME25 HMMT25 AMO-Bench LiveCodeBench GPQA-Diamond
Metrics: accuracy token count
Baselines: Budget Prompt SFT-S1.1 VeriThinker EfficientR AdaptThink
Builds on: s1 VeriThinker AdaptThink EfficientR
Closest papers by meaning
- DiffAdapt: Difficulty-Adaptive Reasoning for Token-Efficient LLM Inference (ICLR 2026 · similarity 0.90)
- LYNX: Learning Dynamic Exits for Confidence-Controlled Reasoning (NeurIPS 2026 · similarity 0.90)
- Efficient Thought Space Exploration Through Strategic Intervention (AAAI 2026 · similarity 0.89)
- Stop When Further Reasoning Won’t Help: Attention-State Adaptive Generation in Reasoning Models (ICML 2026 · similarity 0.89)
- How Far Are We from Optimal Reasoning Efficiency? (NeurIPS 2025 · similarity 0.89)
- Reasoning-Trace Collapse: Evaluating the Loss of Explicit Reasoning During Fine-Tuning (NeurIPS 2026 · similarity 0.89)
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