Research map / Large language models / Reasoning and chain of thought
Test-time Prompt Intervention
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Proposes Test-time Prompt Intervention (PI), a training-free framework that inserts trigger prompts at high-entropy step boundaries and selects branches by a combined perplexity and reasoning-depth score, to shorten chain-of-thought and reduce hallucination in reasoning models.
Problem
Large reasoning models produce redundant chains of thought (repetitive verification, unnecessary reasoning shifts) because post-training relies on outcome rewards and process supervision is hard to scale; the paper asks whether test-time intervention can regulate reasoning paths to be more concise a
Approach
At step boundaries where the first-token entropy is high, the method forks several branches using prompt triggers (progression, summary, verification, conclusion, or the model's natural continuation) and picks the branch with a joint score of inverse perplexity and a Jensen-Shannon-based Reasoning Depth Score computed from early-layer versus final-layer logit distributions.
Key results
- On Qwen3-8B, PI-π^d(p,s) reaches 75.8 overall accuracy (vs 74.5 vanilla) at 50.2% of the original token count.
- On DeepSeek-R1-Distill-Qwen-14B, PI reaches 72.9 overall accuracy at 50.4% compression rate, outperforming DEER (71.6, 65.0%).
- On GSM-NoOp with DeepSeek-R1-Distill-Qwen-14B, PI-π^d(p,s) reaches 85.0% accuracy vs 82.5% vanilla while using 677 tokens vs 1998.
Surprising findings
- Removing verification steps (NoVerify post-processing) raised accuracy while cutting token cost in the preliminary study.
- Adding a conclusion branch shortens reasoning further but significantly degrades accuracy on challenging datasets.
Limitations
- Evaluated only on Qwen3 and DeepSeek-R1-Distill models with hand-designed trigger prompts and hyperparameters (alpha=0.6, entropy threshold 0.3).
- Static interventions hurt accuracy on hard problems, and the conclusion branch degrades challenging-dataset accuracy.
- Multi-branch expansion adds inference cost that is not fully characterized in the main text.
Experimental setup
Datasets: GSM8K MATH-500 AMC 2023 OlympiadBench GPQA Diamond Minerva GSM-NoOp TruthfulQA
Benchmarks: GSM8K MATH-500 AMC 2023 OlympiadBench GPQA Diamond Minerva GSM-NoOp TruthfulQA
Metrics: accuracy token count compression rate
Baselines: Vanilla NoThinking NOWAIT DEER
Builds on: s1 budget forcing DEER NOWAIT DeepSeek-R1
Closest papers by meaning
- Towards Thinking-Optimal Scaling of Test-Time Compute for LLM Reasoning (NeurIPS 2025 · similarity 0.89)
- Does Thinking More Always Help? Mirage of Test-Time Scaling in Reasoning Models (NeurIPS 2025 · similarity 0.88)
- Rethinking Thinking Tokens: LLMs as Improvement Operators (ICML 2026 · similarity 0.88)
- Bag of Tricks for Inference-time Computation of LLM Reasoning (NeurIPS 2025 · similarity 0.88)
- When Thinking Fails: The Pitfalls of Reasoning for Instruction-Following in LLMs (NeurIPS 2025 · similarity 0.88)
- Eliciting Reasoning in Language Models with Cognitive Tools (NeurIPS 2025 · similarity 0.87)
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