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Learning to Extrapolate in Depth with Looped Transformers

Huitao Yang, Jianhao Huang, Zixuan Wang, Baharan Mirzasoleiman

Analyzes how many extra loops a model trained on graph connectivity can safely run. Derives a finite range where added depth solves harder graphs before further loops create false connections.

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

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arXiv:2610.14456 · Initial submission: 2026-10-10

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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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