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Looped Reasoning Finishes Earlier Than You Think

Sumin Park, T. Konstantin Rusch

Studies how oscillations can slow convergence in recurrent reasoning models. Proposes an architecture whose rotational state changes are separated from the representation used for reasoning, and tests convergence on puzzle-solving tasks.

First public: · Added to this list: October 18, 2026

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ArXiv preprint

arXiv:2610.18174 · Initial submission: 2026-10-13

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Recurrent reasoning — Repeat parts of the model or keep intermediate information in memory while working through a problem. Some methods also learn how many passes to run.

Analysis and evaluation — Measure how well these methods work, investigate what their internal computation does, and identify where they fail. This includes experiments, studies of model internals, and mathematical results.

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