Research map / Large language models / Reasoning and chain of thought
SuCo: Sufficiency-guided Continuous Adaptive Reasoning
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Introduces Minimal Sufficient CoT (MSC), the shortest reasoning prefix that yields the ground-truth answer, and SuCo, a two-stage SFT-then-GRPO framework (MFT + SAPO) for continuous, problem-adaptive reasoning length control in LRMs.
Problem
Large reasoning models generate excessively long chain-of-thought even for simple queries, and existing adaptive methods rely on discrete modes or fixed budget tiers without a principled criterion for when reasoning is sufficient.
Approach
Defines reasoning sufficiency as the per-token geometric mean probability of the ground-truth answer given a CoT prefix, selects the shortest sentence-level prefix exceeding a problem-adaptive threshold (scaled by length percentile), trains on these MSC traces via SFT, then uses GRPO with a sufficiency-aware over/under-thinking reward and an EMA-tracked complexity pool.
Key results
- At 7B scale SuCo averages 72.1% across eight benchmarks vs 63.2% for DeepSeek-R1-Distill-Qwen, while using about 1,267 average tokens vs 5,239.
- At 1.5B scale SuCo reaches 53.1% average accuracy (vs 50.5% for LHRMs) with 1,483 average tokens.
- On the MFT ablation (1.5B), MFT reaches 45.7% accuracy with 1,344 tokens vs 38.4% and 5,082 tokens for full CoT SFT.
Surprising findings
- Shorter MSC-based reasoning gives higher accuracy than full CoT on MATH difficulty levels, suggesting less reasoning can yield better performance.
- Roughly 40.7% of training samples yield empty MSC, meaning the model learns to answer without explicit reasoning for many questions.
Limitations
- MSC construction requires ground-truth answers, limiting use on open-ended generation tasks.
- MFT depends on data distilled from strong LRMs and an 80B refinement model.
- Empty CoT rate and gains may depend on the chosen threshold and length-percentile design.
Experimental setup
Datasets: Llama-Nemotron Post-Training Dataset Mixture-of-Thoughts OpenR1-Math-220k OpenCodeReasoning s1K-1.1 MATH GSM8K MBPP LiveCodeBench MMLU-STEM GPQA-Diamond AIME 2025
Benchmarks: GSM8K MATH500 AMC23 AIME25 MBPP LiveCodeBench-V6 MMLU-STEM GPQA-Diamond StrategyQA CommonsenseQA AlpacaEval 2.0
Metrics: accuracy response length (tokens) length-controlled win rate
Baselines: DeepSeek-R1-Distill-Qwen AdaCoT AdaptThink S-GRPO LHRMs Qwen2.5-Math-Instruct
Builds on: GRPO DeepSeek-R1 AdaCoT AdaptThink S-GRPO LHRMs
Closest papers by meaning
- How Far Are We from Optimal Reasoning Efficiency? (NeurIPS 2025 · similarity 0.91)
- Don’t Think Longer, Think Wisely: Optimizing Thinking Dynamics for Large Reasoning Models (NeurIPS 2025 · similarity 0.90)
- Ada-R1: Hybrid-CoT via Bi-Level Adaptive Reasoning Optimization (NeurIPS 2025 · similarity 0.90)
- Thinkless: LLM Learns When to Think (NeurIPS 2025 · similarity 0.90)
- Think Smarter not Harder: Adaptive Reasoning with Inference Aware Optimization (ICML 2025 · similarity 0.90)
- Rectifying LLM Thought from Lens of Optimization (ICLR 2026 · similarity 0.90)
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