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Fractal basins trap latent reasoning

Jeffrey Lai, Anthony Bao, John Quinn, William Gilpin

Studies recurrent reasoning trajectories as dynamical systems on puzzles and mathematical logic. Links long solution times in the tested models to transient trapping near unstable states associated with nearly correct solutions.

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

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arXiv:2609.04963 · Initial submission: 2026-09-04

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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.

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.

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