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Self-Trained Verification for Training- and Test-Time Self-Improvement
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Proposes self-trained verification (STV), training a verifier via on-policy distillation from a reference-conditioned teacher of itself, and verifier-in-the-loop (ViL) RL training of the generator, improving both test-time refinement and standalone accuracy on hard math and science problems.
Problem
Verifier-guided refinement stalls because verifiers cannot reliably catch errors in plausible but wrong solutions, and self-training on unverified self-generated data is harmful; no human-labeled feedback-quality signal exists for training verifiers.
Approach
A reference-conditioned version of the same model acts as a teacher that is better at diagnosing flaws; the unconditioned student verifier is trained via on-policy distillation (JS divergence) to match the teacher's verdict+feedback distribution, plus verdict RL. The trained verifier then drives RL training of the generator inside the V-R loop (ViL).
Key results
- STV verifier lifts final-round pass@1 on hard DAPO math by up to 2x over the untrained verifier; STV-guided Qwen3-8B (27.4% on Hard) beats Qwen3-32B without verification (17.8%).
- On SciKnowEval Hardest bin, STV raises pass@1 from 1.5% (no verification) to 21.0%, exceeding Qwen3-235B-A22B (8.0%).
- ViL training raises round-0 pass@1 by about 30% relative on Hard (36.7% to 47.7%) without any verifier at test time, while continued RLVR gives no gain.
Surprising findings
- Continuing standard RLVR for the same extra steps yields no gain once converged, whereas ViL training improves standalone round-0 accuracy.
- Meta-verifier RL and SFT on teacher traces gave little or no benefit, unlike on-policy distillation.
Limitations
- Evaluated mainly on math and scientific QA; generalization to code and open-ended reasoning is untested.
- Uses the same training problems for verifier and generator training; data selection for verifier training left open.
- Meta-verifier baseline uses GPT-5.2 as a proxy for the original meta-verifier.
Experimental setup
Datasets: DAPO SciKnowEval
Benchmarks: DAPO hard math splits SciKnowEval
Metrics: pass@1 pass@k precision-coverage
Baselines: No verifier training Verdict-RL verifier Meta-verifier RL verifier SFT verifier Qwen3-32B Qwen3-235B-A22B RLVR-only (longer) Prefix-conditioning
Builds on: on-policy distillation RLVR DAPO prefix-conditioning
Closest papers by meaning
- V1: Unifying Generation and Self-Verification for Parallel Reasoners (ICML 2026 · similarity 0.87)
- Incentivizing LLMs to Self-Verify Their Answers (NeurIPS 2025 · similarity 0.87)
- Trust, But Verify: A Self-Verification Approach to Reinforcement Learning with Verifiable Rewards (NeurIPS 2025 · similarity 0.86)
- Scaling Test-Time Compute Without Verification or RL is Suboptimal (ICML 2025 · similarity 0.86)
- Better, Faster: Harnessing Self-Improvement in Large Reasoning Models (ICML 2026 · similarity 0.86)
- LaSeR: Reinforcement Learning with Last-Token Self-Rewarding (ICLR 2026 · similarity 0.86)
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