ResearchResearch paperReinforcement Learning · Training & Scaling · Large Language Models1 source · Oct 13, 2026

Teach Me After You Learn It: Lookahead Self-Distillation for RLVR

On-policy self-distillation (OPSD) has emerged as a popular training paradigm for LLMs, providing dense, token-level supervision by aligning a model's own distribution with the distribution induced by privileged information.

Key points

  • We propose Lookahead Self-Distillation (LEAD), which introduces inter-instance distillation by allowing the teacher to first learn from other on-policy rollouts before teaching the student.
  • LEAD constructs lookahead teachers through virtual RL updates on disjoint subsets of on-policy rollouts, and uses each teacher to provide cross-group token-level supervision for the other subset.
  • To reconcile the complementary yet potentially conflicting signals from OPSD and RLVR, we introduce harmonious modulation, which adaptively modulates the GRPO advantage based on the agreement between the two signals.
  • Extensive experiments on scientific reasoning and interactive-agent benchmarks show that LEAD achieves the best in-domain average performance across model scales while maintaining out-of-domain generalization comparable to GRPO.

Sources (1)

  • [1]Teach Me After You Learn It: Lookahead Self-Distillation for RLVR
    arXiv (AI, ML, NLP, CV, robotics, multi-agent) · Oct 13, 12:22 PM
    On-policy self-distillation (OPSD) has emerged as a popular training paradigm for LLMs, providing dense, token-level supervision by aligning a model's own distribution with the distribution induced by privileged information.
    We propose Lookahead Self-Distillation (LEAD), which introduces inter-instance distillation by allowing the teacher to first learn from other on-policy rollouts before teaching the student.

Extractive summary: sentences quoted from the sources.

Before this

  1. Oct 13, 2026LoOPSD: On-Policy Self-Distillation with Looped Teachers
  2. Oct 13, 2026RELAY: Selective Self-Distillation with Adaptive Hand-off for Rubric-Based Reinforcement Learning
  3. Oct 12, 2026Reinforcement Learning In Partially Verifiable Environments for Colon Cancer Treatment Planning
  4. Oct 12, 2026Self-Distillation with Verbal Regularization
  5. Oct 12, 2026Spectral-Driven Adaptive-Rank Optimizer for Large Language Model Reinforcement Learning with Verifiable Rewards
  6. Oct 12, 2026Beyond Policy Rollouts: Embedding-Space Directional Exploration with Anchored Noise for LLM RLVR

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