Research map / Large language models / Reasoning and chain of thought
VeriThinker: Learning to Verify Makes Reasoning Model Efficient
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Compresses long chain-of-thought in large reasoning models by fine-tuning them with LoRA on an auxiliary binary CoT-verification task (Supervised Verification Fine-Tuning) instead of synthetic short-CoT targets, and reuses the verifier for solution-wise speculative reasoning.
Problem
Large reasoning models overthink, producing redundant self-verification steps that inflate inference cost; existing compression methods rely on costly synthetic concise CoT targets via SFT or RL.
Approach
Instead of training on concise target reasoning chains, fine-tune the LRM only on a binary verification task (judge whether a question-solution pair is correct), with loss on verdict tokens only; this sharpens the model's decision on when to self-reflect, reducing tokens while preserving accuracy.
Key results
- On DeepSeek-R1-Distill-Qwen-7B, VeriThinker reduces MATH500 tokens from 3791 to 2125 while raising accuracy from 94.0% to 94.8%.
- On AIME 2025 with R1-Distill-Qwen-7B, tokens drop from 14321 to 10287 and accuracy rises from 38.7% to 40.8%.
- Solution-wise speculative reasoning with Qwen-2.5-Math-7B-Instruct as draft gives 4.2x throughput on MATH500 for R1-Distill-Qwen-7B, activating the LRM on only 14.6% of problems.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Add SVFT on CoT verification | DeepSeek-R1-Distill-Qwen-7B · MATH500 | accuracy: 94.0% to 94.8% | Helped |
| Add SVFT on CoT verification | DeepSeek-R1-Distill-Qwen-7B · MATH500 | tokens: 3791 to 2125 | Helped |
| Add SVFT on CoT verification | DeepSeek-R1-Distill-Qwen-7B · AIME 2025 | accuracy: 38.7% to 40.8% | Helped |
| Add SVFT on CoT verification | DeepSeek-R1-Distill-Qwen-7B · AIME 2025 | tokens: 14321 to 10287 | Helped |
| Add SVFT on CoT verification | DeepSeek-R1-Distill-Qwen-14B · MATH500 | accuracy: 95.2% to 95.0% | No clear effect |
| Add SVFT on CoT verification | DeepSeek-R1-Distill-Llama-8B · AIME 2025 | accuracy: 30.1% to 29.7% | Hurt |
| Use randomly assigned verification responses unrelated to solution correctness (ablation) | SVFT on DeepSeek-R1-Distill-Qwen-7B · MATH500 | tokens | No clear effect |
| Reverse affirmative and negative verification responses (ablation) | SVFT on DeepSeek-R1-Distill-Qwen-7B · MATH500 | tokens | Helped |
| Simplify verification responses to “Yes” and “No” (ablation) | SVFT on DeepSeek-R1-Distill-Qwen-7B · MATH500 | tokens | Helped |
| Use semantically neutral “North” and “South” verification responses (ablation) | SVFT on DeepSeek-R1-Distill-Qwen-7B · MATH500 | tokens | Helped |
| Apply SVFT to short-CoT models | Qwen-2.5-Math-7B-Instruct · MATH500 | accuracy: 85.0% to 87.6% | Helped |
| Use Qwen-2.5-Math-7B-Instruct as the SSR draft model | DeepSeek-R1-Distill-Qwen-7B · MATH500 | throughput: 1.0x to 4.2x | Helped |
Surprising findings
- Verification on reversed or random labels behaves differently: a random-label variant failed to compress CoT, while semantically neutral 'North/South' labels still compressed, suggesting the mechanism is contrastive discrimination rather than learned correctness semantics.
- VeriThinker does not effectively compress the 1.5B reasoning model, as the auxiliary task causes catastrophic forgetting in small models.
Limitations
- Does not effectively compress smaller reasoning models such as a 1.5B model, likely due to catastrophic forgetting.
- Compression is less pronounced on the R1-Distill-Llama-8B model (about 24% token reduction).
- Speculative reasoning throughput benefits may diminish as problem difficulty increases.
Experimental setup
Datasets: PRM12K GSM8K LIMO Numina-Math MATH500 AIME 2024 AIME 2025
Benchmarks: MATH500 AIME 2024 AIME 2025 GSM8K
Metrics: accuracy reasoning tokens verification accuracy precision recall F1 throughput AcR
Baselines: Truncation Fast-Prompting CoT-Valve SFT
Builds on: chain-of-thought speculative decoding LoRA
Closest papers by meaning
- TrimR: Verifier-based Training-Free Thinking Trimming for Efficient Test-Time Scaling (ICLR 2026 · similarity 0.91)
- SmartThinker: Progressive Chain-of-Thought Length Calibration for Efficient Large Language Model Reasoning (ICML 2026 · similarity 0.90)
- Towards Efficient Large Language Reasoning Models via Extreme-Ratio Chain-of-Thought Compression (ICML 2026 · similarity 0.90)
- TERMINATOR: Learning Optimal Exit Points for Early Stopping in Chain-of-Thought Reasoning (NeurIPS 2026 · similarity 0.90)
- Making Slow Thinking Faster: Compressing LLM Chain-of-Thought via Step Entropy (ICLR 2026 · similarity 0.90)
- ShorterBetter: Guiding Reasoning Models to Find Optimal Inference Length for Efficient Reasoning (NeurIPS 2025 · similarity 0.90)
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