Research map / Label-efficient and robust learning / Knowledge distillation
Rebellious Student: Reversing Teacher Signals for Reasoning Exploration with Self-Distilled RLVR
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Proposes RLRT, which reverses the self-distillation signal on correct GRPO rollouts so tokens the student chose against the teacher are amplified as self-driven exploration.
Problem
Self-distillation in RLVR pulls the student toward a privileged-context teacher even on already-correct rollouts, overwriting the student's own successful reasoning and reducing exploration diversity.
Approach
Read the teacher-student log-ratio in reverse on correct rollouts: upweight tokens where the student's probability exceeds the teacher's (self-driven choices that still succeed), gated by reward, on top of GRPO. This is the inverse of RLSD's weight, with a reward gate.
Key results
- RLRT outperforms self-distillation baselines by an average of 8.9% on six math benchmarks, per the introduction.
- On Qwen3-4B-Base, RLRT reaches 22.5 avg@16 on AIME24 vs 15.0 for GRPO and 13.3 for RLSD.
- On Qwen3-8B, RLRT gives 70.6 avg@16 on AIME24 vs 70.2 for GRPO, with pass@16 of 93.3 vs 86.7.
Surprising findings
- SDPO collapses early on Qwen3 base models, with reward dropping to 0 within about 20 steps.
- SRPO, which routes correct rollouts to GRPO and incorrect ones to self-distillation, performs worse than full self-distillation on math.
Limitations
- Experiments restricted to mathematical reasoning.
- Relies on self-distillation where teacher and student share parameters.
- Gains on Qwen3-8B thinking model are small (about 2.2% average).
Experimental setup
Datasets: DAPO-Math-17k
Benchmarks: AIME24 AIME25 AIME26 HMMT26 AMC23 MATH500
Metrics: avg@16 pass@16 pass@k
Baselines: GRPO SDPO SRPO RLSD GRPO+EB DIVER
Builds on: GRPO RLSD SDPO OPSD DAPO
Closest papers by meaning
- RLKD: Distilling LLMs’ Reasoning via Reinforcement Learning (AAAI 2026 · similarity 0.88)
- Reinforcement Learning Teachers of Test Time Scaling (NeurIPS 2025 · similarity 0.87)
- Light-IF: Endowing LLMs with Generalizable Reasoning via Preview and Self-Checking for Complex Instruction Following (AAAI 2026 · similarity 0.87)
- Your Teacher Can’t Help You Here: Combating Supervision Fidelity Decay in On-Policy Distillation (NeurIPS 2026 · similarity 0.87)
- Teaching Models to Teach Themselves: Reasoning at the Edge of Learnability (ICML 2026 · similarity 0.87)
- Reshaping Reasoning in LLMs: A Theoretical Analysis of RL Training Dynamics through Pattern Selection (ICLR 2026 · similarity 0.86)
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