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Scaling to Tens of Thousands of Test-Time Iterations with Loop-Native Attention Residuals

Pengxiang Li, Dilxat Muhtar, Di He, Guinan Su, Lu Yin, Shiwei Liu

Adds a learned running summary of previous recurrent states so that each update can retain useful earlier work. Uses content-based weighting and temporal decay with constant aggregation memory, and tests whether puzzle-solving improves over much longer inference runs.

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

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arXiv:2610.11570 · Initial submission: 2026-10-08

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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.

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