ResearchResearch paperReinforcement Learning1 source · Oct 15, 2026

Learning to Reason with Selective Internal Feedback

Reinforcement learning from internal feedback can improve language models without ground-truth answers or external verifiers.

Key points

  • However, confidence and correctness can diverge during training, and continued optimization of average self-certainty can increase confidence while degrading reasoning accuracy.
  • We introduce SIF, a reinforcement learning method that combines comparative reward construction with selective policy updates.
  • SIF compares ranked token-level self-certainty profiles across multiple windows and peers, assigning positive rewards only when both levels of voting provide sufficient support.
  • Experiments on three backbones across 12 mathematical and scientific reasoning benchmarks show that SIF's final checkpoints achieve higher average accuracy than the best-validation checkpoints of Intuitor and Vigor, with a gain of 4.71 percentage points over Intuitor on Qwen2.5-Math-1.5B.

Sources (1)

  • [1]Learning to Reason with Selective Internal Feedback
    arXiv (AI, ML, NLP, CV, robotics, multi-agent) · Oct 15, 07:08 AM
    Reinforcement learning from internal feedback can improve language models without ground-truth answers or external verifiers.
    However, confidence and correctness can diverge during training, and continued optimization of average self-certainty can increase confidence while degrading reasoning accuracy.

Extractive summary: sentences quoted from the sources.

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