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Mitigating Overthinking in Large Reasoning Language Models via Reasoning Path Deviation Monitoring
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Proposes RPDI-EE, a training-free early-exit method that monitors the ratio of local to global average token entropy during long CoT reasoning and inserts an end-of-thinking marker when the ratio exceeds a threshold.
Problem
Large reasoning language models overthink, generating redundant reasoning that degrades accuracy and wastes compute; existing early-exit methods need proxy models or answer probing, which add overhead or cause over-truncation.
Approach
Uses the average token entropy in a sliding window (LTF) relative to the global average entropy (GTF) as a Reasoning Path Deviation Index, treating entropy as a soft count of high-entropy transition tokens; exits when RPDI exceeds a threshold, checked only at boundary symbols, with no probing or proxy model.
Key results
- RPDI-EE improves average accuracy over Vanilla CoT on all eight tested LRLMs, with an average gain of 3.9% and 5.1% on distillation models per the paper's text.
- On DeepSeek-R1-Distill-Qwen-32B, RPDI-EE reaches 75.5 average accuracy versus 67.6 for vanilla CoT and 72.5 for DEER.
- On DeepSeek-R1-Distill-Qwen-7B, RPDI-EE gets 61.8 average accuracy versus 56.2 for vanilla CoT, but its average token length (7186) is only modestly below vanilla (7558) and above DEER's 6378 on the average.
Surprising findings
- RPDI-EE reduces accuracy on GPQA-Diamond for DeepSeek-R1-Distill-Qwen-7B (24.8 vs 32.3) and on Qwen3-235B (80.3 vs 80.8), so gains are not uniform.
- Dynasor-CoT and NoThinking cut accuracy substantially on several models despite shorter outputs.
Limitations
- Gains in token length reduction are modest compared with aggressive early-exit baselines.
- Hyperparameters (window W=512, threshold lambda=2.0) are tuned on the evaluation setup, and the paper notes sensitivity to them.
- Experiments are limited to math and science benchmarks with greedy decoding; baselines were only run on a subset of models due to compute cost.
Experimental setup
Datasets: GSM8K AMC23 MATH500 AIME2024 AIME2025 OlympiadBench GPQA-Diamond
Benchmarks: GSM8K AMC23 MATH500 AIME2024 AIME2025 OlympiadBench GPQA-Diamond
Metrics: accuracy generated token length
Baselines: Vanilla CoT NoThinking ThinkLess Dynasor-CoT DEER
Builds on: DEER Dynasor-CoT NoThinking ThinkLess
Closest papers by meaning
- Dynamic Early Exit in Reasoning Models (ICLR 2026 · similarity 0.92)
- Think or Not? Exploring Thinking Efficiency in Large Reasoning Models via an Information-Theoretic Lens (NeurIPS 2025 · similarity 0.91)
- TERMINATOR: Learning Optimal Exit Points for Early Stopping in Chain-of-Thought Reasoning (NeurIPS 2026 · similarity 0.91)
- Efficient Reasoning for Large Reasoning Language Models via Certainty-Guided Reflection Suppression (AAAI 2026 · similarity 0.91)
- Let LRMs Break Free from Overthinking via Self-Braking Tuning (NeurIPS 2025 · similarity 0.91)
- Do NOT Think That Much for 2+3=? On the Overthinking of Long Reasoning Models (ICML 2025 · similarity 0.90)
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