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Resample the Answer: Where to Spend Test-Time Compute in Recursive Reasoning

Maxime Illouz

Separately perturbs the answer state and the reasoning state of a recursive puzzle solver to study where extra search is useful. Uses the model's halting prediction to trigger restarts that resample the answer state.

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

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arXiv:2610.16427 · Initial submission: 2026-10-12

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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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