ResearchResearch paperLarge Language Models · Interpretability1 source · Oct 7, 2026

Invariant-Measure Reasoners: Stable Representations for Latent Reasoning

Latent reasoning models repeatedly update a latent state using the same recurrent block.

Key points

  • Existing models typically predict by applying a prediction head to a single latent state.
  • To address this instability, we introduce invariant-measure reasoners (ImR), a framework that uses an invariant measure as a stable representation.
  • This measure describes the long-run distribution of latent states on the compact subset and is invariant under updates by the recurrent block.
  • These results suggest that ImR can leverage otherwise destabilizing dynamics for latent reasoning.

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